Factor the following 3z^2+26z-9

Answers

Answer 1

Answer:

(3z - 1)(z + 9)

Step-by-step explanation:

Answer 2

Answer:

(z + 9)(3z - 1)

Step-by-step explanation:

Given

3z² + 26z - 9

To factor the quadratic

Consider the factors of the product of the z² term and the constant term which sum to give the coefficient of the z- term

product = 3 × - 9 = - 27 and sum = + 26

The factors are + 27 and - 1

Use these factors to split the z- term

3z² + 27z - z - 9 ( factor the first/second and third/fourth terms )

3z(z + 9) - 1(z + 9) ← factor out (z + 9) from each term

(z + 9)(3z - 1) ← in factored form


Related Questions

Answer to this please ASAP !

Answers

I am sorry but I am not 100% sure this is correct but it might be.. x = 80.3848

what steps can you use to make your nails grow faster

Answers

Answer:

Olive oil contains Vitamin E, which improves blood circulation and facilitates nail growth. Heat up some olive oil and massage it into your nails and cuticles for about five minutes. Wear gloves and let it sit overnight. Alternatively, you can soak your nails in warm olive oil for fifteen to twenty minutes.

Step-by-step explanation:

Answer:

tea tree oil can work  and to stop biting your nails use gel nail polish

Step-by-step explanation:

Factor x10 - y2
I need the answer​

Answers

(x^5-y)^2 maybe :-((

Answer:

(x^5 - y)(x^5 + y)

Step-by-step explanation:

Which of these triangle pairs can be mapped to each other using a single reflection?

Answers

Answer:

the first option is correct

Step-by-step explanation:

The amount of an 18% tip can be found by multiplying the bill by 0.18. Which of the following equations could be used to find the amount of a bill that has a tip of $9.72?

Answers

Answer: $54

Step-by-step explanation:

18% of $54 is $9.72

Answer:

Bill amount is $54

Step-by-step explanation:

Tip is a gratuity and amount of money which a customer gives for some specific services workers on the the work they performed. It is the additional amount to the original value of the service  

As per given data

Percentage of Tip = 18% = 0.18

Formula for Tip

Tip = Bill amount x Tip rate

$9.72 = Bill amount x 0.18

Bill amount = $9.72 / 0.18

Bill amount = $54

Help please? I can’t figure out how to find the value of each trig ratio.

Answers

Answer:

51.34

Step-by-step explanation:

First, things first, identify the opposite, adjacent, and hypotenuse.

Since you are trying to find the value of x, the length measuring 4 is the adjacent because it is one of the lengths that creates that angle measure you are trying to find. 5 is the opposite because the angle is on the opposite side of the length. The [tex]\sqrt{41}[/tex] is the hypotenuse.

Now, which trig equation do you want to use?

sin(x) = opposite / hypotenuse

cos(x) = adjacent / hypotenuse

tan(x) = opposite / adjacent

Let's first try solving with sine.

sin(x) = 5/[tex]\sqrt{41}[/tex]

Since you want to find the angle, you have to use the [tex]sin^{-1} (\frac{5}{\sqrt{41}} )=x[/tex]

Plug it into your calculator, then you should get something like this: 51.34019175.

That is the angle measurement of x.

Let's use cosine.

cos(x) = 4/[tex]\sqrt{41}[/tex]

Again, since you want to find the angle, you have to use the [tex]cos^{-1} (\frac{4}{\sqrt{41}} )=x[/tex]

Plug it into your calculator, then you should get something like this: 51.34019175.

You realize that it gave the same answer, right? Yep, let's also do tangent.

tan(x) = 5/4

Again, since you want to find the angle, you have to use the [tex]tan^{-1}(\frac{5}{4}} )=x[/tex]

Type it into the calculator and you should get 51.34019175 again!

Help asp worth 20 point for the exact answers

Answers

Answer:

Step-by-step explanation:

167.31 is 33% of 507

180 is 48% of 375

216.6 is 76% of 285

238.8 is 60% of 398

133.5 is 89% of 150

111.8 is 26% of 430

174.96 is 81% of 216

29.2 is 5% of 584

130.5 is 18% of 725

2.3 is 2% of 115

136.8 is 90% of 152

77.88 is 12% of 649

118.8 is 55% of 216

46.44 is 43% of 108

227.95 is 97% of 235

33% of 507 = 167.31

48% of 375 = 180

76% of 285 = 216.6

60% of 398 = 238.8

89% of 150 = 133.5

26% of 430 = 111.8

81% of 216 = 174.96

5% of 584 = 29.2

18% of 725 = 130.5

2% of 115 = 2.3

90% of 152 = 136.8

12% of 649 = 77.88

55% of 216 = 118.8

43% of 108 = 46.44

97% of 235 = 227.95

The graphs of f(x) and g(x) are shown below:

graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 9, 0.

If f(x) = (x + 7)2, which of the following is g(x) based on the translation?

g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x − 9)2
g(x) = (x − 5)2

Answers

Answer:

g(x) = (x + 9)2

Step-by-step explanation:

If sin θ = 1 over 3 and tan θ < 0, what is the value of cos θ?

2 square root of 2 over 3
negative 2 square root of 2 over 3
2 square root of 2
negative 2 square root of 2

Answers

Answer:

2√2 / 3 (first answer choice)

Step-by-step explanation:

If tan Ф < 0, then Ф must be in either Quadrant II or Quadrant IV.

If sin Ф = +1/3, then Ф (for this problem) is in Quadrant II.

Remembering that sin Ф = opp / hyp = 1 / 3, we use the Pythagorean Theorem to find the adj side:

adj² + 1² = 3²,  or

adj² + 1 = 9, or    adj² = 8.  Since Ф is in Quadrant II, adj is negative.

The value of cos Ф = adj / hyp = √8 / 3 = 2√2 / 3

ANY HELP WITH THIS QUESTION WOULD BE GREAT
THANK YOU :)

Answers

Answer:

4+3 squared 3 equals 9.19 and 4-3 squared 3 equals -1.19

Step-by-step explanation:

Describe the shape of the data distribution.

Answers

Answer: Positively Skewed

Step-by-step explanation: I believe it looks to me like it's positively skewed. If you Google how negatively skewed and positively skewed distributions look like, I think it would help you. But hope this helped! :)

Answer: Symmetric

Step-by-step explanation:

For a box plot , a symmetric data set displays the median in the middle of the box.

Also, We know that a distribution is said to be skewed if it has longer whisker at one side than the other.

But in the given box plot , the median looks at the middle of the box.

Therefore, the given box-plot describes a symmetric distribution.

Abraham is spending a day at the hotel pool. He enjoys jumping from the very cool pool (62 degrees) to the very hot Jacuzzi (113 degrees). What temperature change is Abraham experiencing as he moves from pool to jacuzzi?

Answers

Answer:

51

Step-by-step explanation:

113-62=51

Which equation it equivalent to 3r=78+14

Answers

Answer:

A. [tex]3r-14=78[/tex]

Step-by-step explanation:

We are given the equation

[tex]3r=78+14[/tex]

If we subtract 14 from each side we get

[tex]3r=78+14\\\\3r-14=78[/tex]

This is what is shown in answer A

The equation equivalent to 3r = 78 + 14 is Option(A) 3r - 14 = 78 .

What equation is equivalent to the given expression ?

The given equation is 3r = 78 + 14 .

Thus, rearranging the given equation, we have

3r - 14 = 78 .

which gives us Option(A).

Therefore, the equation equivalent to 3r = 78 + 14 is Option(A) 3r - 14 = 78 .

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Using interval notation , identify the domain for the function!!! Math 3 - 10 points. Help needed

Answers

Answer:

The domain by the interval notation is (-∞ , 3)∪(3 , 4)∪(4 , ∞) ⇒ 3rd answer

Step-by-step explanation:

* Lets revise how to find the domain of the function

- The domain is all values of  x  that make the expression defined

- To find where the expression is undefined put the denominator

  equal 0, to get the values of x which make denominator equal to 0

- The domain will be all the real number except those values

* Now lets solve the problem

∵ f(x) = (x² - 9)/(x² - 7x + 12)

- Let the denominator x² − 7x + 12  equal to  0

∵ x² − 7x + 12 = 0 ⇒ factorize it

- Consider the form  x² + bx + c

- Find a pair of integers whose product is c and whose sum is b

- In this case, whose product is 12 and whose sum is −7

- They are -3 and -4

- Write the factored form using these integers.

∴ (x -3)(x - 4) = 0 ⇒ put each bracket = 0

∴ x - 3 = 0 or x - 4 = 0

∵ x - 3 = 0 ⇒ add 3 to both sides

∴ x = 3

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

∴ The domain of f(x) is all real number except 3 and 4

* The domain by the interval notation is

 (-∞ , 3)∪(3 , 4)∪(4 , ∞)

Please help me. I'm so desperate not even my group chat is helping​

Answers

Answer:

5 between Martin's place and the school

Step-by-step explanation:

I don't know if you can draw a diagram from by directions, but you can try. It will help you to see the problem.

Draw

Draw a line that looks like this on your paper.

<===============:

school         X        Martin's place

Now draw a line going upwards from the arrow head.

∧                 Haley's place.

|

|

|

|

|

|

<=============:

school       x      Martin's place

Label the distance from the school to Haley's place as 12

I can't draw a line between martin's place and Haley's but you can. Label it as 13

So the givens are

c = distance between Haley's place and Martin's = 13

b= distance from the school to Haley's is 12

a = ? Distance from Martin't and the school = x

Formula

c^2 = a^2 + b^2

Solution

13^2 = 12^2 + a^2

169 = 144 + a^2          Subtract 144 from both sides.

169 - 144 = 144 - 144 + a^2

25 = a^2

sqrt(25) = sqrt(a^2)

a = 5              

The distance from Martin's place to the school (a) is 5 units, determined using the Pythagorean theorem with given values of 12 units from the school to Haley's place (b) and 13 units between Haley's and Martin's places (c).

Distance from the school to Haley's place (b): 12

Distance between Haley's place and Martin's place (c): 13

Using the Pythagorean theorem:

c^2 = a^2 + b^2

Substitute the given values:

13^2 = a^2 + 12^2

Simplify the equation:

169 = a^2 + 144

Subtract 144 from both sides:

25 = a^2

Take the square root of both sides:

a = √25

Simplify:

a = 5

Therefore, the distance from Martin's place to the school (a) is 5 units.

shen is fertilizing his garden. the garden is in the shape of a rectangle. its length is 12 feet and its width is 10 feet. suppose each bag of fertilizer cover 30 square feet. how many bags will he need to cover the garden?​

Answers

12x10=120 now 120x30=3,600 so your answer is 3600

Final answer:

The area of Shen's rectangular garden is 120 square feet. Given that a bag of fertilizer covers 30 square feet, Shen will need 4 bags of fertilizer to cover his garden.

Explanation:

This question relates to the area of a rectangle and unit conversion. The area of a rectangle can be calculated by multiplying its length and its width. In this case, the garden is a rectangle with a length of 12 feet and a width of 10 feet. By multiplying these two dimensions, we get an area of 120 square feet.

A single bag of fertilizer covers 30 square feet. To calculate the number of bags required to cover the garden, we can divide the total area of the garden (120 square feet) by the area that one bag of fertilizer can cover (30 square feet).

So, 120 ÷ 30 = 4. Therefore, Shen will need 4 bags of fertilizer to cover his garden.

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Can someone just explain pre-image and image to me? ​

Answers

Answer: in doing transformations, the pre-image is the image you start with. The task is to move the pre-image so that it is contiguous with the (target) image. This is typically done by translation, rotation or reflection or a combination of those moves.

Hope that helps

Step-by-step explanation:

Image is a related term of preimage. Preimage is a derived term of image.

In context terms the difference between preimage and image is that preimage is the set containing exactly every member of the domain of a function such that the member is mapped by the function onto an element of a given subset of the codomain of the function formally, of a subset b'' of the codomain ''y'' under a function ƒ, the subset of the domain ''x defined by while image is the subset of a codomain comprising those elements that are images of something.

As nouns the difference between preimage and image is that preimage is the set containing exactly every member of the domain of a function such that the member is mapped by the function onto an element of a given subset of the codomain of the function formally, of a subset b'' of the codomain ''y'' under a function ƒ, the subset of the domain ''x defined by while image is an optical or other representation of a real object; a graphic; a picture.

In a circle of radius 30 inches, a central angle of 35° will intersect the circle
forming an arc of length

Answers

[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\pi \theta r}{180}~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ &degrees\\ \cline{1-2} r=&30\\ \theta =&35 \end{cases}\implies s=\cfrac{\pi (35)(30)}{180} \\\\\\ s=\cfrac{35\pi }{6}\implies s\approx 18.32596[/tex]

Answer: 18.33 inches

Step-by-step explanation:

A P E X

The surface area of a sphere having a diameter of 8 inches is:

Answers

64 is the correct answer

Answer: [tex]A = 201.06\ in^2[/tex] or [tex]A = 64\pi\ in^2[/tex]

Step-by-step explanation:

The surface area of a sphere is calculated by the following formula

[tex]A = 4\pi r^2[/tex]

Where r is the radius of the sphere

In this case we know that the diameter d of the sphere is

[tex]d=8\ inches[/tex]

So the radius r is:

[tex]r=\frac{d}{2}\\\\r=\frac{8}{2}\\\\r=4\ inches[/tex]

So the surface area of the sphere is:

[tex]A = 4\pi (4)^2[/tex]

[tex]A = 64\pi[/tex]

[tex]A = 201.06\ in^2[/tex]

6. A baker wants to reduce the amount of sugar in his cake recipes. He decides to reduce the amount
used in 1 cake by 1/2 cup. He then uses 4 cups of sugar to bake 6 cakes.
How much sugar was originally in each cake recipe? ​

Answers

Final answer:

To find the original amount of sugar in each cake recipe, we can set up a proportion and solve for x. The original amount of sugar in each cake recipe was 7/6 cups.

Explanation:

To solve this problem, we can use a proportion to find the original amount of sugar in each cake recipe. Let x represent the original amount of sugar in each cake recipe. We know that reducing the amount of sugar by 1/2 cup from 1 cake results in 4 cups of sugar for 6 cakes. So we can set up the proportion:

(x - 1/2) / 1 = 4 / 6

Cross-multiplying, we get (x - 1/2) * 6 = 4 * 1. Simplifying further, we have 6x - 3 = 4. Adding 3 to both sides, we get 6x = 7. Finally, dividing both sides by 6, we find that x = 7/6 cups of sugar.

Therefore, the original amount of sugar in each cake recipe was 7/6 cups.

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How do you do this? Been working on it for along time

Answers

it would be 112.5 times times 3 and then multiply by 1000

I got the same answer that user said

Kim made soup which contains 75 total ounces of beans
The soup has two kinds of beans ; black and red
There are 4 times as many ounces of black beans as red beans
How many ounces of red beans are in the soup?

Answers

Answer:

15 ounces of red beans

Step-by-step explanation:

So, we know Kim's soup contains a total of 75 ounces of beans, including red beans (r) and black beans (b), so r + b = 75

Then we know that for each ounce of red beans, there are 4 ounces of black beans, 1b = 4r

Then we merge both equations by replacing b's value in the first equation by its equivalent (b = 4r), since we are looking for the count of red beans.

r + b = 75

r + 4r = 75

5 r = 75

r = 15

There are 15 ounces of red beans in Kim's soup, that looks a lot like the last chili I made :-)

what is the volume of a right cylinder which has a base radius of 14 inches and a height of 2 inches?

Answers

Answer:

V≈1231.5in³

Step-by-step explanation:

V=πr2h=π·142·2≈1231.50432in³     plz give me brainliest :))!!!!!

ANSWER

[tex]Volume = 1231.5 {in}^{3} [/tex]

EXPLANATION

The volume of the cylinder is

EXPLANATION

The volume of a right cylinder is given by the formula:

[tex]Volume = \pi \: {r}^{2} h[/tex]

From the given information, the height of the cylinder is 2 inches and the base radius is 14 inches.

This implies that, r=14 inches and r=2 inches.

We plug in the values into the formula to get;

[tex]Volume = \pi \times {14}^{2} \times 2[/tex]

[tex]Volume = \pi \times 196 \times 2[/tex]

[tex]Volume =392 \pi [/tex]

[tex]Volume = 1231.5 {in}^{3} [/tex] to the nearest tenth.

State whether the given measurements determine zero, one, or two triangles. C = 37°, a = 16, c = 14

Answers

Two triangles: b 2.62 or 22.94

Answer:

sides are     a = 16                   c = 14             b =22.96

angles are   A = 43.39°           B = 99.61°        C = 37°

Step-by-step explanation:

using sine law of triangle,

[tex]\frac{sin A}{a} = \frac{Sin B}{b}= \frac{sinC}{c}[/tex]

using,

[tex]\frac{sin A}{a} = \frac{sinC}{c}[/tex]

given that,

C= 37°                 a = 16                   c = 14

now,

[tex]\frac{sin A}{16} = \frac{sin37^o}{14}[/tex]

sin A = 0.687

A = 43.39°

hence B = 180° - (43.39° + 37°)

           B = 99.61°

[tex]\frac{sin 43.39^o}{16} = \frac{sin99.61^o}{b}[/tex]

b = 22.96

Hence, there will be only one triangle which will form and there

sides are     a = 16                   c = 14             b =22.96

angles are   A = 43.39°           B = 99.61°        C = 37°

Joni put $200 in an interest-bearing account with an annual compound interest rate of 5%. Joni determined that after 3 years, she will have a total balance of $230. Her work is shown below. Step 1: P = 200, r = 5, t = 3 Step 2: I = 200 ∙ 0.05 ∙ 3 Step 3: I = 30 Step 4: 30 + 200 = 230 Is Joni correct? Explain. Joni is not correct, because $230 is just the interest she will earn; she will have $430 total. Joni is not correct; $230 will be her balance after 1 year. After 3 years, she will have $290. Joni is not correct because she used the simple interest rate formula, not the compound interest rate formula. She will have $231.53. Joni is correct. She correctly applied the I = P · r · t formula, and will have $230.

Answers

Answer:

Joni is not correct because she used the simple interest rate formula, not the compound interest rate formula. She will have $231.53.

Step-by-step explanation:

Joni put $200 in an interest-bearing account with an annual compound interest rate of 5%. Joni determined that after 3 years, she will have a total balance of $230.

Step 1: P = 200, r = 5, t = 3

Step 2: I = 200*0.05* 3

Step 3: I = 30

Step 4: 30 + 200 = 230

Joni is not correct because she used the simple interest rate formula, not the compound interest rate formula. She will have $231.53.

Above it is given, that annual compound interest rate of 5%

So, she should have calculated using the compound interest formula.

[tex]A=p(1+r/n)^{nt}[/tex]

So, amount becomes :

[tex]A=200(1+0.05)^{3}[/tex]

[tex]A=200(1.05)^{3}[/tex] = $231.53.

Answer:

Joni is not correct because she used the simple interest rate formula, not the compound interest rate formula. She will have $231.53.

Step-by-step explanation:

Just did it

which type of graph would display the volunteer totals for each of the 20 clinics

Answers

Answer:A dot plot.

Step-by-step explanation: it shows the 5 number summary.

The correct answer is dot plot!

Given L (-4,3) and M (-7,-2) what is the length of LM?

A. 34 square rooted
B. 8 squared rooted
C. 74 squared rooted
D. 122 squared rooted

Answers

A. 34 square rooted

[tex]lm = \sqrt{34} [/tex]

Please help I will mark BRAINLIEST

Answers

Answer:

x ≤ -4

Step-by-step explanation:

Less than or equal to ≤

x ≤ -4

Simplify to create a equivalent expression.
5(10k+1)+2(2+8k)
A.)66k+9
B.)64k+9
C.)66k+54
D.)64k-9

Answers

Answer:

[tex]\boxed{\bold{66k+9}}[/tex]

Explanation:

Expand [tex]\bold{5\left(10k+1\right): \ 50k+5}[/tex]

= [tex]\bold{50k+5+2\left(2+8k\right)}[/tex]

Expand [tex]\bold{2\left(2+8k\right): \ 4+16k}[/tex]

= [tex]\bold{50k+5+4+16k}[/tex]

Simplify [tex]\bold{50k+5+4+16k: \ 66k+9}[/tex]

= [tex]\bold{66k+9}[/tex]

Mordancy.

Equivalent expressions are expressions that work the same even though they look different. The equivalent expression 5(10k+1)+2(2+8k) is 66k+9. So option A is correct.

The given expression is 5(10k+1)+2(2+8k). We need to find equivalent expression.

What is Equivalent expressions?

Equivalent expressions are expressions that work the same even though they look different.

The given expression is 5(10k+1)+2(2+8k)

Multiply 5 with 10k+1 and 2 with 2+8k

50k+5+4+16k

Add the terms with k coefficient.

66k+9

Therefore 66k+9 is equivalent expression of 5(10k+1)+2(2+8k).

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How does multiplying a vector by a scalar value of -pi / 4 change the vector?

Answers

Answer:

The vector will change in direction and decrease in magnitude

Step-by-step explanation:

Given:

vector multiplication by -π/4

-π/4= -0.785

Due to the negative sign "-", the, vector will change/reverse its direction.

And as of the magnitude, 0.785<1 hence the magnitude of vector will be decreased by this factor !

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