Question 1 options:
x2 +x − 4 = 0
You will solve this using the Quadratic Formula.

First, what are the values of a, b, and c?

a =

Answer:

D.) 15 years

Step-by-step explanation:

7.5% of 550 rabbits would be 41.25

if you are increasing till you get over 1,000

it would take 10.9 almost 11 years to get to 1,000

meaning it would be 15 years when your over 1,000 giving you 1,168.75

Let B = the weight of box B

Let 2B = the weight of box A

Let 2B + 30 = the weight of box C

B + 2B + 2B + 30 = 640

5B = 610

B = 122 pounds, weight of box B

2B = 2(122) = 244 pounds, weight of box A

2B + 30 = 2(122) + 30 = 274 pounds, weight of box C

hope this helps

Answer: 90b (grams)

Step-by-step explanation:

Given statement : A box weighs 90 grams.

Let b denotes the number of boxes, then the weight of b boxes will be :-

[tex]\text{Total weight of b boxes}=b\times\text{Weight of one box}\\\\\Rightarrow\ \text{Total weight of b boxes}=b\times90\\\\\Rightarrow\ \text{Total weight of b boxes}=90b[/tex]

Hence, the expression for the weight  ( in grams) of b boxes : 90b

Answer:

1/6 of a pound

Step-by-step explanation:

Multiply both the numerator and denominator for a common denominator.

2/3 * 2/2 = 4/6.

Then subtract to find out how much more she had yesterday.

5/6-4/6=1/6.

1/6 pound

Match the denominator

2/3 = 4/6

Subtract

5/6 - 4/6 = 1/6

He has read 46.66 %

Lets find the percentage

total pages are 300 and he has read 140

So

140/300 = 0.4666

Converting this into percentage again

We will multiply the decimal by 100

0.4666 x 100 = 46.66 %

The tenth in 149.95 is 9. To round it to the nearest tenth, use the hundredth. The hundredth is 5. When rounding, always round up when it is a 5. 95 should be rounded to 100, but it is a decimal. 100 as a decimal is equal to 1. 149 + 1 = 150.

Answer:

149.95 becomes 150 when rounded to the nearest tenth because 149.95 is only .5 away from 150. If it was something like 149.4 it would be rounded to 149.

Answer:

f(x)⁻¹ = 3x/(2 - x)

Step-by-step explanation:

Find the inverse of f(x) = 2x/(x+3)

The first step is to let f(x) = y

y = 2x/(x+3)

Then make x the subject of the formula

y = 2x/(x+3)

y(x + 3) = 2x

yx + 3y = 2x

yx - 2x = -3y

x(y - 2) = -3y

x = -3y/(y - 2)

∴ f(x)⁻¹ = -3x/(x - 2)

Dividing both numerator and denominator by -1;

f(x)⁻¹ = 3x/(2 - x)

Answer:

4 is the real part

2 is the imaginary part

Step-by-step explanation:

A complex number is written in the form a+bi

where a is the real part and b is the imaginary part

4 +2i

4 is the real part

2 is the imaginary part

Answer:

4 is real. 2 is imaginary

Step-by-step explanation:

Answer:

The geometric mean is 18

Step-by-step explanation:

To find the geometric mean of two numbers, start by multiplying them together.

12 * 27 = 324

Now take the square root of that number

√324 = 18

Answer:

x = 33

Step-by-step explanation:

There are 180 degrees in a triangle.

There are also 180 degrees in a straight line.

180 - 105 = 75.

Thus, 75+72+x=180.

x=33

Answer:

x=33

Step-by-step explanation:

Step one :

From the screen shot

The sum of angles on a straight line is 180° hence 180°-105°=75°

The unknown angle is 75°

Step two :

To find the angle x° the sum of angles in a triangle is 180°

Therefore

x°+72°+75°=180°

x+147=180

x=180-147

x=33°

Answer:

Francesco can achieve this amount by investing at an APR of 7.14% compounded annually , or 7% compounded every six months or 6.95% compounded quarterly

Step-by-step explanation:

This question can be solved using the concept of compounded interest

The formula for amount obtained when a principal of p was invested at a rate r compounding n times a year is:

[tex]Amt = p(1+\frac{r}{100n})^n[/tex]

Here p = 70000, amt = 75000,

So when compounded annually, n=1

[tex]Amt =p(1+\frac{r}{100n})^n\\75000=70000(1+\frac{r}{100})^1\\\frac{15}{14}=1+\frac{r}{100}\\\frac{1}{14}=\frac{r}{100}\\r = \frac{100}{14}=7.14[/tex]

For compounding every 6 months n=2

[tex]Amt =p(1+\frac{r}{100n})^n75000=70000(1+\frac{r}{200})^2\\\frac{15}{14}=(1+\frac{r}{200})^2\\\sqrt{\frac{15}{14}}=1+\frac{r}{200}\\r = 200*(\sqrt{\frac{15}{14}}-1)=7.01[/tex]

For compounding quarterly n=4

[tex]Amt =p(1+\frac{r}{100n})^n\\75000=70000(1+\frac{r}{400})^4\\\frac{15}{14}=(1+\frac{r}{400})^4\\(\frac{15}{14})^\frac{1}{4}=1+\frac{r}{400}\\r = 6.95[/tex]

To learn more about compound interest visit https://brainly.com/question/24924853

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Answer: An APR OF 6.98% compounded quarterly

Step-by-step explanation:

Answer: 1/3

Hope This Helps ^_^

He would have 32 slices of butter.

The student will have 32 slices of butter if they cut 40 ounces into 1.25-ounce pieces by dividing the total amount by the size of each slice.

The student wants to know how many slices of butter they can get from 40 ounces if they are cutting it into 1.25 ounces each. To find out, they need to divide the total amount of butter by the size of each piece.

First, take the total amount of butter, which is 40 ounces.

Divide 40 ounces by the size of each slice, which is 1.25 ounces.

Calculate the division: 40 / 1.25 = 32 slices.

Therefore, the student will have 32 slices of butter if they cut 40 ounces into 1.25-ounce pieces.

Communicative

Hope this helps!

Answer:

2

Step-by-step explanation:

3x+12=18

subtract 12

    3x=6

divide by 3

      x=2

Answer:

x = 2, -10

Step-by-step explanation:

3x + 12 = 18

-3x - 12 = 18

3x = 6

-3x = 30

x = 2

x = -10

Answer:108%*x

Step-by-step explanation: 100%+8%=108% so it is 108%*x

Final answer:

The expression representing the amount of rice the farmer grew this year is 1.08x, which includes the initial amount plus an additional 8% increase.

Explanation:

If a farmer grew x pounds of rice last year, and this year she grew 8% more rice than she grew last year, the number of pounds of rice she grew this year can be represented by an algebraic expression. To calculate an increase of 8%, we multiply the original amount (x) by 8% (or 0.08) and then add it to the original amount. The expression representing the total weight of rice grown this year is:

x + 0.08x

Or, combining like terms to simplify:

1.08x

This expression takes into account the original production and adds the additional 8% increase in rice production for this year.

Answer:

x=3

Step-by-step explanation:

2x+3=9

2x=6

x=3

Answer:

1 Cup = 8 Fluid Ounces

Therefore 13 cups = 13*8 = 104 Fuid Ounces

So 96 Fluid Ounces is LESS THAN 13 cups.

Step-by-step explanation:

Alright, let's solve this problem! :)

First we need to subtract 5k from both sides.

3k−5k>12

Then we simplify 3k - 5k to -2k.

-2k > 12

Now we divide both sides by -2.

k < -12/2

Now we simplify 12/2 to 6.  

k < -6

✔️Done!

Have an amazing day!

Answer:

26 units

Step-by-step explanation:

Due to:

in the rect line, left to zero = 13 (absolute value)

in the rect line, right to zero = 13 (absolute value)

So the sum of each absolute value is the distance.

Best regards

Answer:

9m - 6

Step-by-step explanation:

I don't know if you want it to be factored or simplified, but the greatest common factor is 7 so you can use that that so simplify the equation. Or you can substitute values for x.  

Algebra form: y1 - y2, and x1 - x2.

( 2 - 1 ) ( 6 - 3 ).

= 1/3.

slope = 1/3.

Answer:

C. Both (1,11) and (-1,-5)

Step-by-step explanation:

Plug in the x and y coordinates into the equation and see if the values hold true.

Test (1,11):

11=8(1)+3

11=8+3

11=11

TRUE

Test (-1,-5):

-5=8(-1)+3

-5=(-8)+3

-5=-5

TRUE

Answer:

[tex]\large\boxed{B.\ \dfrac{7}{4}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\Delta y}{\Delta x}=\dfrac{14}{8}=\dfrac{14:2}{8:2}=\dfrac{7}{4}[/tex]

Answer:

12

there are 6 combinations with sausage and 6 with red sauce and its asking how much outcomes include sausage so you add the two together and get 12

Answer:

x = 7

Step-by-step explanation:

Order of operations rules require that we do multiplication and division BEFORE addition and subtraction.

Let's start by simplifying the expression.  Adding 15 to both sides results in:

8,000÷(28x+4) = 40.

Multiplying both sides by (28x + 4) results in the simpler:

8000 = 40(28x + 4).

Dividing both sides by 40 results in:

200 = 28x + 4, or

196 = 28x

Solve for x by dividing both sides by 28:

x = 7

Answer:

2/13

Step-by-step explanation:

There are 6 + 4 + 3 = 13 balls all together.

If the first one is green, this will happen with a probability of 4/13. Now there are 12 balls left

There are 6 red balls. 6/12 = 1/2

The probability of the way this happens is 1/2 * 4/13 = 2/13

➷ Angles in a triangle equal 180 degrees

180 - (38 + 39) = 103

Angles on a straight line equal 180 degrees

180 - 103 = 77

The correct statement would be the first one as x is greater than 38

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

Move 4 units to the right-hand side of the origin point, 0.

Step-by-step explanation:

A number line in mathematics is a straight line marked with numbers to the left(negative numbers) and to the right (positive numbers), at equal intervals along the line.The origin of the number line is 0. 4/1 is similar to positive 4 which is located 4 units to the right-handside of 0.

To locate the fraction 4/1 on a number line, you need to divide the number line into 1 part and find the 4th part.

To locate the fraction 4/1 on a number line, you need to understand that fractions represent a part of a whole. In this case, the fraction 4/1 means that you are dividing the number line into 1 part and looking for the position of the 4th part. Here's how you can do it: