Find the Y-intercept of the line graph. (Please help!)

Answer:

x-14

Step-by-step explanation:

The binomial which is a factor of this trinomial is (x- 14).

An algebraic expression with three terms is called a trinomial.

Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z.

Given:

p(x) = x²-16x + 28

If x+ a is factor of any polynomial p(x) then x= -a satisfy the polynomial.

factorizing p(x)

x²-16x + 28

= x²-14x + 2x + 28

= x( x- 14) + 2 (x+ 14)

= (x- 14)(x+ 2)

Hence, the binomial is (x- 14).

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Answer:

3

Step-by-step explanation:

Answer: b) increasing for x < -4/3 and x > 4/3

                    decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and the follow the curve from left to right.  When you are going up, it is increasing.  When you are going down, it is decreasing.

see the image below.  Red is increasing. Blue is decreasing.

The vertices occur when x = -4/3 and x = 4/3

Step-by-step explanation:

5f

5 + n times of a number

Answer:

This is true! 1x=1

Step-by-step explanation:

So let's rewrite the question again.

-5(x - 1) = 2x - 7x + 5

So we will solve from left to right.

-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.

-5(x - 1) = -5x+5

2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.

2x - 7x + 5 = -5x+5

Now, here is the equation that we have so far.

-5x+5 = -5x+5

+5x        +5x

----------------------

5=5

-5 -5

0=0

So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:

All Real Numbers

Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of ration is written as 58:42.

The ratio has the greatest common factor as 2.

58÷2:42÷2

29:21

The simplified ratio becomes 29:21.

Answer:

10

Step-by-step explanation:

Use the distacne forumla to find the differnece between the two points.

Answer:

The answer is A.

This is because adding 5 to both sides of the original equation gives us A.

An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

"The equations that have the same answer or solution."

For given question,

We have been given an equation 3r = 90 - 5

We know that the addition property of equality which states that  when the same quantity is added to both sides of an equation, the equation does not change.

⇒ 3r = 90 - 5

Add 5 on the both the sides of the equations.

⇒ 3r + 5 = 90 - 5 + 5

⇒ 3r + 5 = 90 + 0

⇒ 3r + 5 = 90

Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

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Answer:

Translation

Step-by-step explanation:

Answer:

D. Rotation then translation

Step-by-step explanation:

Answer:

Grace needs to borrow $23,000 in students loan in order to attend University of Oklahoma for 4 years.

Step-by-step explanation:

Cost for one year at University of Oklahoma = $20,000

Cost for 4 years = 4 × $20,000 = $80,000

Total amount Grace would have in 4 years = $4,000 + $1,000 + ($4,000×4) + ($9,000×4) = $57,000

Amount she needs to borrow = $80,000 - $57,000 = $23,000

Answer:

y=4x-9

Step-by-step explanation:

Answer:

63 cm

Step-by-step explanation:

piece 1: x

piece 2: x - 18

First you would subtract 2x - 18 = 108

Second you would add 108 + 18 = 2x

Third you would divide 126 divided by 2x = 63

So that would mean x = 63

Answer:

63cm

Step-by-step explanation:

2 pieces of rope, and one is shorter by 18cm.

piece 1: x

piece 2: x-18

Add the equations together, combine both pieces

2x-18

2x-18 = 108

108+18 = 2x

126 = 2x

x = 63

Answer:

G:O = 3:10

the ratio of green marbles to orange marbles is 3:10

Step-by-step explanation:

Let G, Y and O represent green, yellow and orange marbles respectively.

Given;

the ratio of green marble to yellow marble is 2 : 5

G:Y = 2:5

G/Y = 2/5

the ratio of yellow arbles to orange marbles is 3 : 4

Y:O = 3:4

Y/O = 3/4

the ratio of green marbles to orange marbles G:O;

G/O = G/Y × Y/O

Substituting the values;

G/O = 2/5 × 3/4

G/O = 3/10

G:O = 3:10

the ratio of green marbles to orange marbles is 3:10

Answer:

Line Graph

Step-by-step explanation:

A line graph shows how values change. For example you could plot your growth over time .And lind graphs can show you how functions change.

Answer:

0.983

Step-by-step explanation:

100(0.983)=98.3

Answer:

[tex]0.983[/tex]

Step-by-step explanation:

[tex]\frac{100-17/10}{100}[/tex]

[tex]\frac{100-1.7}{100}[/tex]

[tex]=0.983[/tex]

Answer:

x = 52

Step-by-step explanation:

You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52

Answer:

1_11/20 pounds, or 1.55 pounds.

Step-by-step explanation:

Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.

Answer:

9.3526131e+34

Step-by-step explanation:

112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34

Answer:

Answer:

9.3526131e+34

Step-by-step explanation:

112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34

[tex]\displaystyle\bf\\g^{2x+1}=g^{3x-2}\\\\g=g\\\\3x-2=2x+1\\\\3x-2x=1+2\\\\\boxed{\bf x=3}[/tex]

Answer:

Surface area of sphere = 4πr²

r = radius

radius = diameter /2

= 12/2

= 6units

Surface area = 4π×6²

= 144π

= 452.4 square units

Hope this helps.

Answer:

3(3/7)

Step-by-step explanation:

Just by doing the math.

Answer:

D

Step-by-step explanation:

When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.

Answer:

D.) 16

Step-by-step explanation:

Solve for n:

-n/2 = -8

Multiply both sides of -n/2 = -8 by -2:

(-2 (-n))/2 = -2 (-8)

-2×(-1)/2 = (-2 (-1))/2:

(-2 (-1))/2 n = -2 (-8)

(-2)/2 = (2 (-1))/2 = -1:

--1 n = -2 (-8)

(-1)^2 = 1:

n = -2 (-8)

-2 (-8) = 16:

Answer: n = 16

Answer:

The third graph is your answer.

Step-by-step explanation:

I included a graph below with the correct graphing.

Solution: 25 × $9.85= $246.25 purchase price

25 × $11.22 = $280.5 sale price

$280.5 – $246.25 = $34.25 profit in dollars

$34.25 ÷ $246.25 = 0.139 = 13.9% ROI

Purchase price of the share is equals to 246.25dollars.

Profit percentage is equals to 13.9 percentage ( nearest tenth).

" Purchase price is defined as the total amount paid to buy any product."

Formula used

Profit = Selling price - Purchase price

Profit percentage = [tex]\frac{profit}{cost price} (100)[/tex]

According to the question,

Total number of shares = 25

Purchase price of one share =  9.85 dollars

Selling price of 1 share = 11.22 dollars

Therefore,

Purchase price of 25 shares = (9.85 × 25 )dollars

                                               = 246.25 dollars

Selling price of 25 shares = (11.22 × 25) dollars

                                           = 280.5 dollars

Selling price > Purchase price

Therefore,

Profit = Selling price - Purchase price

         = 280.5 - 246.25

         = 34.25 dollars

Substitute the value in the formula we get,

Profit percentage = [tex]\frac{34.25}{246.25} (100)[/tex]

                              = 13. 9 percentage ( nearest tenth)

Hence, purchase price of the share is equals to 246.25dollars.

Profit percentage is equals to 13.9 percentage ( nearest tenth).

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Step-by-step explanation:

8-4(-x + 5)

8 + 4x - 20

4x - 12

Answer:  (i) 1       (ii) 3/4 , √3/3       (iii) 0       (iv) 1

Step-by-step explanation:

ΔRPQ is 1 30°-60°-90° triangle because RQ = 2PQ , where

(i) sin² (90°) = 1² = 1

[tex]\text{(ii)}\ \cos ^2(30^o)= \bigg(\dfrac{\sqrt3}{2}\bigg)^2=\dfrac{3}{4}[/tex]

[tex].\quad \tan (30^o)=\dfrac{1}{\sqrt3}\bigg=\dfrac{\sqrt3}{3}[/tex]

(iii) sin (90°) × cos (90°) = 1 × 0 = 0

(iv) sin² (90°) - cos² (90°) = 1² - 0² = 1

Answer : The amount of margarine needed is 1 kg.

Step-by-step explanation :

First we have to convert volume of syrup from mL to L.

Conversion used:

1 L = 1000 mL

or, 1 mL = 0.001 L

So, 225 mL = 0.225 L

Now we have to calculate the amount of margarine needed.

As, 0.225 L of syrup needed 150 g of margarine

So, 1.8 L of syrup needed [tex]\frac{1.5L}{0.225L}\times 150 g=1000g[/tex] of margarine

Amount of margarine needed = 1000 g = 1 kg     (1 kg = 1000 g)

Therefore, the amount of margarine needed is 1 kg.

Answer:

B.

Step-by-step explanation:

ABC ≅ XYZ

∠A≅∠X

∠B≅∠Y

∠C≅∠Z

Also, should be

AB =XY

BC=YZ

CA=ZX

By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.

Answer B.

Answer:

0.09

Step-by-step explanation:

Total = 35+5+10+5 = 55

P(string&brass) = 5/55

= 1/11 = 0.09090909

Answer:2nd, 3rd and 4th

Step-by-step explanation: