I need some help in this question ​

I Need Some Help In This Question

Answers

Answer 1
x^2 + 2x - 15
factors into (x+5)(x-3)
set this equal to 0 and get that x=-5 and x=3

Related Questions

Which of the symbols correctly relates the two numbers ?

Answers

The answer was is c because 65 is greater than 56.

Answer:

C. >

Step-by-step explanation:

The answer is C. because 65 is greater than 56!

g(x) = x3 + 6x2 + 12x + 8
Determine the function's value when x = -1
g(x)
g(-1) = -3
9(-1) = 0
9(-1) = 1
g(-1) = 27
64
125

Answers

Answer:

     g(-1) = 5 - 4 = 1

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  g(x) = x^3 + 6x^2 + 12x + 8.

Substitute -1 for x in this equation:                 g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8

Then:                                                            g(-1) = -1 + 6 - 12 + 8, or

                                                                     g(-1) = 5 - 4 = 1

Answer:

The answer is C

Step-by-step explanation:  

I just took the test and got it right.

Hopefully this helps you :)

pls mark brainlest ;)

Which is a trait of all seed plants?

Answers

Answer:

All seed plants share two characteristics. They have vascular tissue and use seeds to reproduce. In addition, they all have body plans that include leaves, stems, and roots. Most seed plants live on land.

Step-by-step explanation:

Final answer:

All seed plants have the ability to produce seeds. Seeds contain an embryo and stored food and can withstand harsher conditions, staying dormant until conditions for growth are ideal. This trait is seen across all seed plants, which includes both gymnosperms and angiosperms.

Explanation:

All seed plants, also known as spermatophytes, share a key characteristic that they have the ability to produce seeds. This is a common trait and allows seed plants to reproduce. Seeds contain an embryo and stored food wrapped in a protective coat. They can withstand harsher conditions and can stay dormant until the conditions for growth are favorable. Seed plants include gymnosperms, such as conifers, and angiosperms, which are flowering plants.

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What is the quadratic function to these three points (-1,-11), (0,-3), and (3,-27)

Answers

Answer:

y = -4x² + 4x -3

Step-by-step explanation:

The standard form of quadratic equation is:

y = ax² + bx + c

We need to use the points given to find the value of a, b and c

We are given point (-1,-11) where x =-1 and y=-11 putting values in the above equation

y = ax² + bx + c

-11 = a(-1)² + b(-1) +c

-11 = a -b+c      eq(1)

Now putting the point(0, -3) where x =0 and y =-3

y = ax² + bx + c

-3 = a(0)² + b(0) + c

-3 = 0 + 0 + c

=> c = -3

Now Putting the point (3, -27) where x =3 and y = -27

y = ax² + bx + c

-27 = a(3)² +b(3) + c

-27 = 9a + 3b + c  eq(2)

Putting value of c= -3 in eq(2)

-27 = 9a + 3b -3  

-27 +3 = 9a +3b

-24 = 9a + 3b

=> 3(3a+b) = -24

3a + b = -24/3

3a + b = -8     eq(3)

Putting value of c= -3 in eq(1)

-11 = a -b+c

-11 = a -b -3

-11 + 3 = a - b

-8 = a - b    

=> a - b = -8   eq(4)

Now adding eq(3) and eq(4)

3a + b = -8  

a - b = -8

__________

4a = -16

a = -16/4

a = -4

Putting value of a in equation 4

a - b = -8

-4 -b = -8

-b = -8+4

-b = -4

=> b = 4

The values of a , b and c are a= -4, b =4 and c= -3

Putting these values in standard quadratic equation

y = ax² + bx + c

y = -4x² + 4x -3

Here is a table of values for y = f(x).
x 0 5 10 15 20 25 30 35 40
f(x) 5 6 7 8 9 10 11 12 13
Mark the statements that are true.
A. 5) = 6
B. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13).
O
C. The range for fx) is all real numbers.
D. f15) = 8​

Answers

Answer:

A, D

Step-by-step explanation:

for this table:

x    0  5 10 15 20 25 30 35 40

f(x) 5  6  7  8  9    10   11  12  13

A, assuming it's supposed to say f(5)=6, is true since 5 in x corresponds to 6 in f(x)

B is false, since the domain would be the set of all numbers in x, since domain corresponds to input (x) and range corresponds to output (f(x))

C is false, the range is not all real numbers since it is a defined set of numbers

D is true, since 15 in x corresponds to 8 in f(x)

Therefore, A and D are true

The product of the polynomials (2ab + b) and (a2 – b2)

Answers

Answer:

= 2a³b - 2ab² + a²b - b³

Step-by-step explanation:

We multiply the each term in the first polynomial by each in the other as follows.

2ab(a² - b²) + b(a² - b²)

We then open the brackets and get the following.

2a³b - 2ab² + a²b - b³

We can not simplify the product further than this since it has no like terms.  

Answer:

First is C

Second is 2

Step-by-step explanation:EDGE 2021

Solve the equation log4(x + 20) = 3

Answers

Answer:

x = 44

Step-by-step explanation:

log4(x + 20) = 3

Raise each side to the power of 4

4^ log4(x + 20) = 4^3

x+20 = 4^3

x+20 = 64

Subtract 20 from each side

x+20-20 = 64-20

x = 44

Which is equivalent

Answers

Answer:

[tex]x^\frac{5}{3} y^\frac{1}{3}[/tex]

Step-by-step explanation:

This question is on rules of rational exponential

where the exponential is a fraction, you can re-write it using radicals where the denominator of the fraction becomes the index of the radical;

General expression

[tex]a^\frac{1}{n} =\sqrt[n]{a}[/tex]

Thus    [tex]\sqrt[3]{x} =x^\frac{1}{3}[/tex]

 

Applying the same in the question

[tex]\sqrt[3]{x^5y} =x^\frac{5}{3} y^\frac{1}{3}[/tex]

=[tex]x^\frac{5}{3} y^\frac{1}{3}[/tex]

Answer: Second option

[tex](x^5y)^{\frac{1}{3}} = x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]

Step-by-step explanation:

By definition we know that:

[tex]a ^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]

In this case we have the following expression

[tex]\sqrt[3]{x^5y}[/tex]

Using the property mentioned above we can write an equivalent expression for [tex]\sqrt[3]{x^5y}[/tex]

[tex]\sqrt[3]{x^5y} = (x^5y)^{\frac{1}{3}}[/tex]

[tex](x^5y)^{\frac{1}{3}} = x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]

Therefore the correct option is the second option

Which point is an x-intercept of the quadratic function f(x)=(x-4)(x+2)

Answers

Answer:

x = - 2 or x = 4

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 2 = 0 ⇒ x = - 2

The x- intercepts are at x = - 2, x = 4

The lunch lady has 5 pounds of lasagna left over. If she
makes 1 pound servings, how many servings of lasagna
can she serve with the amount left over?​

Answers

Final answer:

With 5 pounds of lasagna, where each serving is 1 pound, the lunch lady can make 5 servings of lasagna.

Explanation:

The subject of this question is simple division in Mathematics. The problem states that the lunch lady has 5 pounds of lasagna left over and each serving is 1 pound. So, to find out how many servings of lasagna can be made, we divide the total amount of lasagna (5 pounds) by the size of each serving (1 pound).

5 pounds / 1 pound per serving = 5 servings

Therefore, the lunch lady can serve 5 servings of lasagna with the amount left over.

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Joshua likes to read he read 6 books when he was 6 years old every year he doubled the number of book he read the previous year how many total books did he read between the ages of 6 and 10?

Answers

When Joshua Is 6 he reads 6 books, when he is 7 he reads 12 books, when he turns 8, he reads 24 books, when he turns 9 he reads 48 books, when Joshua turns 10 he reads 96 books

6+12+24+48+96=186

The answer is C

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Answer:

Joshua read 186 books form 6 to 10 years of age.

Step-by-step explanation:

Joshua reads 6 books at the age of 6.

He doubled the number of books he read the previous years.

Now the sequence will be a geometric sequence as

6, 12, 24, ......

We have to calculate the number of books he read from 6 years to 10 years of his age.

Since sum of n terms of a geometric sequence is given by

[tex]S_{n}=\frac{a(r^{n}-1 )}{r-1}[/tex]

where a = first term

r = common ratio

n = number of terms

[tex]S_{5}=\frac{6(2^{5}-1 )}{2-1}[/tex]

   = [tex]\frac{6(32-1)}{1}[/tex]

   = 6×31

   = 186 books

Therefore Joshua read 186 books form 6 to 10 years of age.

A die is rolled. What is the probability of rolling the following?
a multiple of 2 or a multiple of 5

Answers

Answer:

2/3 chance (67%)

Step-by-step explanation:

Multiples of 5:

(5)

Multiples of 2:

(2)

(4)

(6)

This is a 4/6 chance or 2/3

[tex]|\Omega|=6\\|A|=3+1=4\\\\P(A)=\dfrac{4}{6}=\dfrac{2}{3}\approx67\%[/tex]

What is the measure of arc AC? Enter your answer in the box. AC is (7x-2) degrees. ABC is inscribed with (2.5x + 4) degrees

Answers

Answer:

The measure of arc AC  is equal to 33°

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

∠ABC=(1/2) arc AC

substitute the values

(2.5x+4)=(1/2)(7x-2)

solve for x

5x+8=7x-2

7x-5x=8+2

2x=10

x=5

Find the measure of arc AC

arc AC=(7(5)-2)=33°

Final answer:

The measure of arc AC can be calculated by using the inscribed angle theorem and solving the equation 2×(2.5x + 4) = 7x - 2, which represents the relationship between the inscribed angle and its intercepted arc.

Explanation:

To determine the measure of arc AC, we need to consider the relationship between the inscribed angle of a circle (ABC in this case) and the corresponding arc (arc AC).

By the inscribed angle theorem, the measure of an inscribed angle is half the measure of its intercepted arc. This relationship allows us to set up the equation (2.5x + 4) degrees = 0.5×((7x-2) degrees).

By solving this equation, we can find the value of x, and consequently, the measure of arc AC.

substitute the values

(2.5x+4)=(1/2)(7x-2)

solve for x

5x+8=7x-2

7x-5x=8+2

2x=10

x=5

Find the measure of arc AC

arc AC=(7(5)-2)=33°

Write the real number 12 as a complex number in form of a+bi

Answers

[tex]12+0i[/tex]

.....................

Answer:

12+0i

Step-by-step explanation:

What is the solution set of the quadratic inequality f(x) greater than or equal to 0

Answers

ANSWER

{[tex]x | x \in \: R[/tex]}

EXPLANATION

From the graph, the given quadratic inequality is

[tex] {(x + 3)}^{2} \geqslant 0[/tex]

We can see that the corresponding quadratic function is a perfect square.

Since the graph opens upwards and it is always above the x-axis, any real number you plug into the inequality, the result is greater than or equal to zero.

Hence the solution set is

{[tex]x | x \in \: R[/tex]}

The correct answer is A

subtract the polynomials (3x^2-11x-4)-(x-2)(2x+3)

Answers

Answer:

[tex]x^2-10x+2[/tex]

Step-by-step explanation:

Multiply out the two monomials first because of PEMDAS.

[tex](-x + 2) * (2x + 3)=-2x^2+x+6[/tex]

Now add them together.

[tex]3x^2-11x-4-2x^2+x+6=x^2-10x+2[/tex]

The vertex of this parabola is at (-3, -2). Which of the following could be its equation?

Answers

Answer:

y = a(x + 3)² - 2 where a is any real number except 0.

Step-by-step explanation:

The vertex form of a parabola:

[tex]y=a(x-h)^2+k[/tex]

(h, k) - vertex

We have the vertex at (-3, -2) → h = -3 and k = -2.

Substitute:

[tex]y=a(x-(-3))^2+(-2)=a(x+3)^2-2[/tex]

The equation of parabola is , [tex]y= -2(x+3)^{2} - 2[/tex]

What is a parabola?Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone.

What are the 4 types of parabola?There are three types of parabolas. The three forms are: vertex form, standard form and intercept form. Each form provides you a different key feature for the graph.

What is parabola and examples?A parabola is nothing but a U-shaped plane curve. Any point on the parabola is equidistant from a fixed point called the focus and a fixed straight line known as the directrix. Terms related to Parabola.

What is equation of parabola?

[tex]y = a(x- h)^{2} + K[/tex].

According to the question:

Applying  value in equation gives.

[tex]y= -2(x-(-3))^{2} -2\\[/tex]

                 [tex]y= -2(x+3)^{2} - 2[/tex]

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The temperature at 9 a.m. is 2 degrees. The temperature rises 3 more degrees by noon. Which expression describes the temperature at noon?

Answers

Answer:

2+3

Step-by-step explanation:

The measure of one angle of a right triangle is 44∘ more than the measure of the smallest angle. Find the measures of all three angles.

Answers

Answer:

Smallest angle = 23

Middle angle = 23 + 44 = 67

Right angle = 90

Step-by-step explanation:

Givens

Let the smallest angle = x

Let the middle angle = x + 44

Let the right angle = 90   which it always does.

All triangles = 180 degrees.

Equation

x + x + 44 + 90 = 180

Solution

2x + 44 + 90 = 180                       Combine the left

2x + 134 = 180                               Subtract 134 from both sides

2x +134-134 = 180 - 134                Combine

2x = 46                                          Divide by 2

2x/2 = 46/2                                   Do the division

x = 23

6th grade-Write an inequality to represent the situation: The temperature stayed above -15 degrees. Thanks guys!

Answers

Let temperature = T

"The temperature stayed above -15 degrees. " means that the temperature is always greater than -15 degrees.

Therefore,

-15 degrees < T

Find the quotient. Simplify your answer.
y-4/y ÷ 6/y​

Answers

Answer: [tex]\frac{y-4}{6}[/tex]

Step-by-step explanation:

To find the quotient asked, you need to make the division indicated.

You can follow these steps:

1. Find the reciprocal of [tex]\frac{6}{y}[/tex]. You need to turn it upside down. Then you get that the recriprocal is:

[tex]\frac{y}{6}[/tex]

2. Now you must multiply [tex]\frac{y-4}{y}[/tex] by  [tex]\frac{y}{6}[/tex]:

[tex](\frac{y-4}{y})(\frac{y}{6})=\frac{(y-4)(y)}{(y)(6)}[/tex]

3. Simplifying, you get that the quotient is:

[tex]=\frac{y-4}{6}[/tex]

Determine if the two figures are congruent and explain your answer.

Answers

Answer:

They can be congurent depending on which two figures you are using

Step-by-step explanation:

Which polygon has an interior angle sum of 1080°?

Answers

Step-by-step explanation:

The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.

Answer:

Octagon

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides, so

180° (n - 2) = 1080° ( divide both sides by 180° )

n - 2 = 6 ( add 2 to both sides )

n = 8 ← octagon

Triangle ABC is a right triangle. Find the measure of side b. Round to the nearest hundredth.
A) 6.13 cm
B) 6.71 cm
C) 9.53 cm
D) 10.54 cm
E) 12.45 cm

Answers

Answer:

Applying the trigonometric functions, 8/b=Tan40

b=8/Tan40

Answer:

C) 9.53 cm

Step-by-step explanation:

We know this is a right triangle, so we can use trig relations

tan A = opposite side/ adjacent side

tan 40 = 8/b

Multiply each side by b

b tan 40 = 8

Divide each side by tan 40

b tan 40 / tan 40 = 8 / tan 40

b = 8/ tan 40

b = 9.534028741

What is the inverse of y=^x3

Answers

Answer:

Inverse of y=x^3 is f^-1(x) = ∛x

Step-by-step explanation:

We need to find the inverse of y=x^3

Step 1:

Interchange the variables:

x= y^3

Step 2: Now solve to find the value of y

=> y^3 = x

taking cube root on both sides of the equation

∛y^3 = ∛x

y=∛x

Step 3: Replace y with f^-1(x)

f^-1(x) = ∛x

So inverse of y=x^3 is f^-1(x) = ∛x

Express the fraction 2/7 as a rounded decimal?

Answers

Answer:

Pick an answer from below.

Step-by-step explanation:

Rounded to which place?

2/7 = 0.285714285714...

Nearest tenth: 0.3

Nearest hundredth: 0.29

Nearest thousandth: 0.286

Nearest ten-thousandth: 0.2857

etc.

Answer:

0.29

Step-by-step explanation:

To convert fractions to decimals, divide the numerator by the denominator.

2/7= 0.285

Round 0.285 to 0.29

5 - 7 second power + 6 - 7 second power + 5 - 7 second power + 6 - 7 second power + 10 - 7 second power + 10 - 7 second power​

Answers

ANSWER: -252

HOW TO GET IT:

Simply follow PEMDAS. Solve each exponent first, then do the rest.

Answer:

144

Step-by-step explanation:

5-7 = 2 2^2 + 6 = 10 - 7 = 3^2 = 9 + 10 = 19 - 7 = 12^2 = 144

I hope this helps even if I am too late! :)

A takes 3 hours more than B to walk 30 km. But if A doubles his pace, he is ahead of B by 3/2 hours . Find their speed of walking.​

Answers

Answer:

Initial speed:

A: [tex]\displaystyle \rm \frac{10}{3}\; km/ h[/tex].B: [tex]\rm 5\; km/ h[/tex].

Step-by-step explanation:

Both equations are concerned about the time differences between A and B. To avoid unknowns in the denominators,

let [tex]x[/tex] be the initial time in hours for A to walk 30 km, andlet [tex]y[/tex] be the time in hours for B to walk 30 km.

First equation:

"A takes 3 hours more than B to walk 30 km."

[tex]x = y + 3[/tex].

[tex]x - y = 3[/tex].

When A doubles his pace, he takes only 1/2 the initial time to cover the same distance. In other words, now it takes only [tex]x/2[/tex] hours for A to walk 30 km.

Second equation:

"[A] is ahead of B by 3/2 hours [on their 30-km walk.]"

[tex]\displaystyle \frac{x}{2} + \frac{3}{2} = y[/tex].

[tex]\displaystyle \frac{1}{2}x - y = -\frac{3}{2}[/tex].

Hence the two-by-two linear system:

[tex]\left\{\begin{aligned}&x - y = 3\\&\frac{1}{2}x - y = -\frac{3}{2}\end{aligned}\right.[/tex].

Solve this system for [tex]x[/tex] and [tex]y[/tex]:

Subtract the second equation from the first:

[tex]\displaystyle \frac{1}{2}x = \frac{9}{2}[/tex].

[tex]x = 9[/tex].

[tex]y = 6[/tex].

It initially takes 9 hours for A to walk 30 kilometers. The initial speed of A will thus be:

[tex]\displaystyle v = \frac{s}{t} = \rm \frac{30\; km}{9\; h} = \frac{10}{3}\; km/h[/tex].

It takes 6 hours for B to walk 30 kilometers. The speed of B will thus be:

[tex]\displaystyle v = \frac{s}{t} = \rm \frac{30\; km}{6\; h} = 5\; km/h[/tex].

Classify the flowing triangle

Answers

Answer:

A: Scalene - None of the sides are congruent or have the same measurements.

E: Acute - None of the triangle's angles are 90° or greater.

~

The table shows the distance traveled over time while traveling at a constant speed.


What is the ratio of the change in y-values to the change in x-values?

1:900

1:1,200

900:1

1,200:1

Answers

Answer: Last option.

Step-by-step explanation:

You can observe in the table provided that the values of "x" represent the time in minutes and the values of "y" represent the distance in meters.

Then, in order to find the ratio of the change in y-values to the change in x-values, you can divide any value of "y" (distance) by its corresponding value of "x" (time).

So, this is:

[tex]\frac{2,400}{2}=\frac{1,200}{1}[/tex]

Since the ratio can also be written in the form [tex]a:b[/tex], you get:

[tex]1,200:1[/tex]

Answer:

D) 1,200 meters per minute

Step-by-step explanation:

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