At a used book sale, the number of books bought and the price paid by five different customers is shown in the table below. Odin knows that there is a linear model that describes the relationship between the number of books bought and the price

Answer:

Step-by-step explanation:

x² + 3x - 70 = 0

x² + 3x = 70

x² + 3x + (3/2)² = 70 + (3/2)²

(x + 3/2)² = 70 + 9/4 = 289/4 = (17/2)²

so

x + 3/2 = ±17/2

x = ±17/2 - 3/2

x₁ = 17/2 - 3/2 = 14/2 = 7

x₂ = -17/2 - 3/2 = -20/2 = -10

x² = -10x - 30

x² + 10x = -30

x² + 10x + (10/2)² = -30 + (10/2)²

x² + 10x + 25 = -30 + 25 = -5

(x + 5)² = -5

[tex]x+5 = \pm\sqrt{-5}\\x + 5 = \pm i \sqrt{5}\\x = -5\pm i \sqrt{5}\\\\x_1 = -5+ i \sqrt{5}\\\\x _2= -5- i \sqrt{5}\\[/tex]

Answer:

scale factor is larger larger length over the smaller length.

Answer:

a. 6+y   b. 5- (10x c)

C. 14 +(6 x c)  d. x +y=18 f. x - 12 = 7

Step-by-step explanation:

Answer:

1.5$

Step-by-step explanation:

if you divide 18 by 12 you get 1.5 meaning each avacado is 1.5$ incase of more explanation\simple explanation: 1.5+1.5+1.5+1.5+1.5+1.5+1.5+1.5=12$

Answer:

$18.00./12 avocados gives the right answer

Step-by-step explanation:

4/10

6/15

8/20

10/25

these were some

Answer:

The slope is 8.000/2.000 = 4.000

The y-intercept is -7/1 = -7.00000

Step-by-step explanation:

^^

Step-by-step explanation:

12a. To

find x intercepts, set each factor equal to zero

[tex] {x}^{2} = 0[/tex]

[tex]x = 0[/tex]

[tex](x - 3) {}^{2} = 0[/tex]

[tex]x = 3[/tex]

[tex]x + 2 = 0[/tex]

[tex]x = - 2[/tex]

So the x intercepts are( 0,-2,3.)

The multiplicity of 0 and 3 is 2,

The multiplicity of -2 is 1.

The y intercepts are

[tex]0 {}^{2} (0 - 3) {}^{2} (0 + 2) = 0[/tex]

The y intercept is 0.

End Behavior: Since this is a positve 5th root function, as x increases, f(x) increases while as x decreases, f(x) decreases.

The First picture shows the graph of the function. Notice ried the zeroes that have a multiplicity of 2 have a parabolic reflection after thre function reaches their zero.

The zero that have a multiplicity of 1 have just passes through the graph.

12b. We have

[tex] {x}^{4} - 4 {x}^{2} [/tex]

We can easily find y intercept, which is 0.

To find x intercept,

Factor

[tex] {x}^{2} ( {x}^{2} - 4)[/tex]

[tex] {x}^{2} (x + 2)(x - 2) = 0[/tex]

[tex]x = 0[/tex]

[tex]x = 2[/tex]

[tex]x = - 2[/tex]

So the x intercepts are (0,2,-2).

The multiplicity of 0 is 2 while 2 and -2 is 1.

End Behavior: Since this is a positve quartic function, as x increases or decreases , f(x) increases

Look at the second graph,

Answer:

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

y-intercept is when x = 0:

[tex]\implies P(0)=0^2(0-3)^2(0+2)=0[/tex]

Therefore, y-intercept is at (0, 0)

x-intercept(s) is when P(x) = 0

[tex]\implies x^2(x-3)^2(x+2)=0[/tex]

[tex]\implies x^2=0\implies x=0[/tex]

[tex]\implies (x-3)^2=0\implies x=3[/tex]

[tex]\implies (x+2)=0\implies x=-2[/tex]

Therefore, x-intercepts are:

End-behavior:

As the lead coefficient is positive and the lead degree is odd,

[tex]P(x) \rightarrow - \infty \textsf{ as }x\rightarrow - \infty[/tex]

[tex]P(x) \rightarrow + \infty \textsf{ as }x\rightarrow +\infty[/tex]

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

[tex]P(x)=x^4-4x^2[/tex]

y-intercept is when x = 0:

[tex]\implies P(0)=(0)^4-4(0)^2=0[/tex]

Therefore, y-intercept is at (0, 0)

x-intercept(s) is when P(x) = 0

[tex]\implies x^4-4x^2=0[/tex]

[tex]\implies x^2(x^2-4)=0[/tex]

[tex]\implies x^2(x-2)(x+2)=0[/tex]

[tex]\implies x^2=0 \implies x=0[/tex]

[tex]\implies (x-2)=0 \implies x=2[/tex]

[tex]\implies (x+2)=0 \implies x=-2[/tex]

Therefore, x-intercepts are:

End-behavior:

As the lead coefficient is positive and the lead degree is even,

[tex]P(x) \rightarrow + \infty \textsf{ as }x\rightarrow - \infty[/tex]

[tex]P(x) \rightarrow + \infty \textsf{ as }x\rightarrow +\infty[/tex]

Answer:

2(x-2)(5x^2+4)

maybe i am wrong sorry if i am

Answer:

300/1500, 1/5, or 20%

Step-by-step explanation:

There are 1500 students total, but only 300 engineering students. We can represent this as a fraction: 300/1500. When reduced it comes out to 20%.

Answer: 7.364%...............

Answer:

Step-by-step explanation:

small amount = 10

Large amount = 135.8

% = (small amount / large amount ) * 100

% = (10 / 135.8) * 100

% = 0.0736* 100

% = 7.36%

Answer:

[tex]-\frac{2}{3}.[/tex]

Step-by-step explanation:

1) the required slope can be calculated if to use the ratio:

slope=(y(B)-y(A))/(x(B)-x(A)), where x(A)=-3; y(A)=4; x(B)=0 and y(B)=2;

2) according to the formula above:

s=(2-4)/(0+3)=-2/3.

The slope of the line through the given points is: -2/3.

Slope of a line= change in y / change in x = rise/run.

Given the points:

(-3, 4) = (x1, y1)

(0, 2) = (x2, y2)

Slope = (4 - 2)/(-3 - 0)

Slope = 2/-3

Slope of the line = -2/3

Learn more about slope of a line on:

https://brainly.com/question/20848

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Answer:

Answer:

5x + 6

Step-by-step explanation:

(f-g)(x) is nothing but f(x) - g(x)

f(x) is |5x + 1| - 3 and g(x) is 4 so the equation is [|5x+1| - 3] - [4]

Once this is solved, the answer is 5x - 6. Since there's absolute value, remove the negative and change it to a positive to get the answer 5x + 6.

Answer:

Step-by-step explanation:

You will first have to find the area to find the price of each square yard.

Area is 8*12 = 96. Multiply this by 2.69.

It will cost 258.24 dollars to recarpet the shop.

Let me know if this helped

Answer:

A shop in the mall is 8 yards by 12 yards. How much would it cost to recarpet the shop with carpet that costs $5.00 per square yard?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rule says that to find the number of years required to double your money at a given interest rate, you just divide the interest rate into 72. For example, if you want to know how long it will take to double your money at eight percent interest, divide 8 into 72 and get 9 years.

that statement is very true

Step-by-step explanation:

f(2)=4(2)-1 = 7

the ordered pair is (4,7)

Answer:

1,440

Step-by-step explanation:

that is how much your car decreasing

hope it helps

Answer:

x = -2

Step-by-step explanation:

6x+12 = -x-2

7x+12 = -2(bring x to the left)

7x = -14(bring constants to the right)

x = -2

Answer:

Step-by-step explanation:

Using 3.14 as pi.

Perimeter of a circle = 2*pi*radius

= 2*3.14*10

= 62.8 cm

Area of a circle = pi*radius*radius

= 3.14*10*10

= 314 cm^2

Solution:

Formulas to remember:

Finding the circumference of the circle:

Finding the area of the circle:

Answer: He will need to mow 7 lawns.

Step-by-step explanation:

He already has $20

90-20=70

70/10=7

Answer:

Step-by-step explanation:

Answer:

angles A+ 100 + B are supplementry and add up to 180 degress.  Angle A and 20 degree angle are congruent, so angle A is 20 degrees.  Angle B and 60 degrees are congruent so B is 60 degrees.  Angle C and 100 degrees are congruent so C is 100 degrees.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

pls mark me as brainest

2.) 18

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