Bernard built 15 model cars one year. He did not build as many model cars as his sister, Abby. In the inequality, n represents the number of model cars Bernard needed to build to have more than Abby.


Which number of model cars did Bernard need to build to have more model cars than Abby?
A.1
B.2
C.3
D.4

Answer:

The quadratic polynomial with integer coefficients is [tex]y = 81\cdot x^{2}-36\cdot x -19[/tex].

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

Find a quadratic polynomial with integer coefficients which has the following real zeros: [tex]x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}[/tex].

Let be [tex]r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}[/tex] and [tex]r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}[/tex] roots of the quadratic function. By Algebra we know that:

[tex]y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}[/tex] (1)

Then, the quadratic polynomial is:

[tex]y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}[/tex]

[tex]y = 81\cdot x^{2}-36\cdot x -19[/tex]

The quadratic polynomial with integer coefficients is [tex]y = 81\cdot x^{2}-36\cdot x -19[/tex].

Answer:

ANGLE BAC= 80°, hope it helps you thanks.

Answer:

By an online search, I've found that the dimensions of the eraser are:

4cm by 2cm by 0.5cm

First, we need to remember that for a rectangular prism of length L, width W, and height H, the volume is:

V = L*W*H

We know that the measures of the box are:

12cm by 20cm by 5cm

Then we can define:

L = 12cm

W = 20cm

H = 5cm

Then the total volume of the box is:

V = 12cm*20cm*5cm = 1200 cm^3

For the eraser, we will have:

L = 4cm

W = 2cm

H = 0.5cm

Then the volume of the eraser is:

v = 4cm*2cm*0.5cm = 4 cm^3

The volume of the box that is not taken up by the eraser is equal to the difference between the volume of the box and the volume of the eraser.

Then:

Volume not taken by the eraser = V - v = 1200cm^3 - 4cm^3 = 1196cm^3

Answer:

a) 2 + 1 = 3

   4 + 2 = 6

   6 + 3 = 9

b) Yes

c) Yes, since you are adding b to two b, which results in 3b

Step-by-step explanation:

Hope that helps!

Answer:

Step-by-step explanation:

our lengths are:

7.5a-1.5b,  3.5a+4.5b, 6.5c+2a, 8.5-6.5c

P=7.5a+3.5a+2a-1.5b+4.5b+6.5c-6.5c+8.5=16a+3b+8.5

Answer:        

Correct Answer D.

a × c = 11, b = 10

10 × 1 = 10

10 + 1 = 11

Divide the ten and 1 by 2

(x = 2) (2x+1)

Step-by-step explanation:

Answer: 2/7,  2 : 5,  2 to 5

Step-by-step explanation:

7 is the total

5 is white

2 is grey

2/7 is 2 out of 7 since 2 is grey

2 : 5 is 2 grey for 5 white

2 to 5 is the same thing as 2 : 5

Answer:

C) $50.00

Step-by-step explanation:

$7.50 is the 15% discount

1% of the original price would be ($7.50 / 15)=0.50

100% of the original price would be 100 x 0.50 =  $50.00

Answer:

$44.80

Step-by-step explanation:

The answer you are looking for is 15/32.

To find this answer, you must first find the Least Common Denominator. The least common denominator of these 2 fractions can be found by simply multiplying the 2 given denominators together. 5 * 8 = 40.

Now that you found the LCD, you can start to solve the equation. To get 40 as the denominator for 3/8, you multiply the fraction by 5/5.

3/8 * 5/5 = 15/40.

To get 40 as the denominator for 4/5, you multiply it by 8/8. 4/5 * 8/8 = 32/40.

Finally, you divide 15/40 by 32/40. The denominators cancel out, so the numerator becomes 15 and the denominator now becomes 32.

So your answer is 15/32 (which cannotbe simplified)

I hope this helps!!

Answer:

x=10

y=11.66

Step-by-step explanation:

8^2+6^2=x^2 and then you take the root

Same goes for the second question

a^2+b^2=c^2

Answer:

c is the answer ....

mark me brainliest

Answer:

2x - 60 = 180

Step-by-step explanation:

Angles RQS and PQS form a linear pair, so they are supplementary.

The sum of their measure is 180°.

Both angle measures are unknow, so let's use x for the measure of <PQS.

The measure of angle RQS is 60° less than the measure of <RQS, so it is

x - 60

Now we add the measures and set the sum equal to 180.

x + x - 60 = 180

Combine like terms on the left side.

2x - 60 = 180

Answer: 2x - 60 = 180

Answer:

A

Step-by-step explanation:

plug 32 in for m and solve

Answer:

c

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Because sine and cosine are complements, we will have that:

cos(60°) = 1/2.

First, because cosine and sine are complements, we know that:

cos(x) = sin(x + 90°).

cos(90° - x) = sin(x).

We will use the second relation, with x = 30° we can write:

cos(90° - 30°) = sin(30°)

cos(60°) = sin(30°)

And we know that sin(30°) = 1/2

Then we also have cos(60°) = 1/2.

So the correct option is d.

If you want to learn more about trigonometric functions:

https://brainly.com/question/8120556

#SPJ1

Answer:

D-  cos 60° = 1/2, because the cosine and sine are complements

Step-by-step explanation:

Got it right on test:)

Answer:

Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.

Step-by-step explanation:

I had the same question and got it correct. Hope I helped. :)

Answer:

Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.

Step-by-step explanation:

He did not weigh all the assets

Answer:

29/12=2.41666667

..................=2.33333333

.......................=2.58

second

Step-by-step explanation:

Answer:

the awnse is 2 i hope i helped

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3 x 4 / 6

3 x 4 = 12

12 / 6 = 2

PEMDAS

M - multiplication

D - division

Multiplication comes before division.

Answer:

18.5

Step-by-step explanation:

Answer:

100% until the question is incomplete

Answer:

positive

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer=

5x+1=6

5x=6-1

5x=5

x=1

Square root of 1 is 1

Answer:

√5x+1 = 6

(√5x+1)2 = (6)2

5x+1 = 36

5x  -35 = 0

 Add  35  to both sides

     5x  = 35

Divide both sides by 5

     solution is :

    x = 7

Step-by-step explanation:

Answer:44

Step-by-step explanation:subtract 55-11 which would equal L

Answer:

If you are multiplying L*W the answer would be 5 because w=11 ok and we don't know what L is but we know what A is and a=55 so you have to think what do we multiply 11 by to get 55 weel it's 5 so that's how we would know it's 5 IF you were multiplying. now if you just adding L+W that answer would be 44 because 55-11=44

Hope this helped:)      

Answer:

y = 4x - 3

Step-by-step explanation:

The equation for a line is y = mx +c

We need to find m which is the gradient:

To do this pick any two coordinates on the line:

(1, 1) and (2, 5)

Next divide the difference of the y coordinates by the difference of the x coordinates:

5 - 1 / 2 - 1

= 4/1 = 4

so our gradient is 4

We'd write that as y = 4x + c

Next we need to find c which is the y-intercept

To do this just simply look for where the line crosses the y-axis

This is -3

So we'd write that as y = 4x - 3

Hope this helps :)

Answer:

y=4x-3

Step-by-step explanation:

it wewnt up 4

the baby value/y interseption was -3

Answer:

10[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}[/tex]×(15+6)=

[tex]\frac{1}{3}[/tex]×(31)=

[tex]\frac{1}{3}[/tex]×[tex]\frac{31}{1}[/tex]

[tex]\frac{31}{3}[/tex]

10[tex]\frac{1}{3}[/tex]

Answer:

91

Step-by-step explanation:

the formula for a triangle is base x height divided by 2

so the base is 13 and the height is 14

multiply 13 and 14 then divide by 2

13 x 14 = 182/2= 91

Answer:

(-3, 2)

x=-3, y=2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation. and thats how you get your answer :)

The value of x is -3 and value of y is 2.

The given equations are:

6x + 6y=-6 ..(1)

5x + y=-13...(2)

From equation (2)

y=-13+5x..(3)

Plug in equation in equation (1):

6x + 6(-13+5x)=-6

6x-78+30x=-6

24x=-72

Divide both sides by 24:

x=-72/24

x=-3

Now put x=-3 in equation (2):

5(-3) + y = -13

-15 + y = -13

y = -13 + 15

y = 2

Hence, the value of x is -3 and value of y is 2.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

Answer:

Step-by-step explanation:why is the trapezoid separated into a triangle and a rectangle