Your teacher is giving you a test that has 30 questions and is worth 200 points. Some questions are worth 5 points and some are worth 10 points. How many of each question are on the test?

Answer

1/4 × 6 × (5a) = 12

15a=12

a= 4/5

Step-by-step explanation:

The area of the triangle formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. The constant (a) of the function is 4.

The triangle formed by the parabola has a base equal to the distance between the points where the graph touches the x-axis and height (h) is the point where the graph touches the y-axis.

The points on the x-axis are the roots of the quadratic equation:

a(x-3)(x+2)=0

(x-3)(x+2)=0

x - 3 = 0

x = 3

or

x + 2 = 0

x = -2

So, the base is the distance between (-2,0) and (3,0).

Since they are in the same coordinate, the distance here;

b = 3 - (-2)

b = 5

The area of the triangle is 10. So

5a = 10 x 2

a = 4

The constant (a) of the function y = a(x-3)(x+2) is 4.

Learn more about parabola;

https://brainly.com/question/4074088

#SPJ2

Answer:

1 Question= 26

2 Question=41

3 Question= 57

4 Question= 15

5 Question = 20

Step-by-step explanation:

Answer:

If tip goes only on amount but not on tax: $44.38

If tip goes on total including tax: $44.81

Step-by-step explanation:

If the tip is applied to the price before tax, then we need to add 5.8% and 21% of $35 to $35.

tax + tip = 5.8% + 21% = 26.8%

100% + 26.8% = 126.8% = 1.268

1.268 * $35 = $44.38

If the tip is applied to the price plus tax, then we calculate the amount including tax first, then we add the 21% tip based on that price.

Bill before tax: $35

Add 5.8% tax: 1.058 * $35 = $37.03

Add tip to the amount including tax: 1.21 * $37.03 = $44.81

Answer:

Im not sure about the answer but..

Step-by-step explanation:

you use the calculator or watch videos on this

Hope it helped :(

Answer:

12

Step-by-step explanation:

tangent opposite/adjacent. tan(29)=x/22. separate x, and you get 22tan(29), which is 12.

Answer:

1,4

Step-by-step explanation:

its just that hoped this helped

Answer:domain

Step-by-step explanation:

Answer:

5.79

Step-by-step explanation:

I think I'm not very sure tho

It's 7.723, not 5.79.

If you get your bodmas correctly, you should get 7.723.

Solution:

Do "((-4.6) - 1.9) first, which is -6.5 basically.

After that it is (-2.78) x (-2.8), which is 7.784.

After that do (2.2 - 1.8) ÷ ((-4.6) - 1.9), which is -0.061

After that 7.784 + -0.061, which makes it 7.723.

Answer:

G = LA/Y + D/Y

Isolate the variable by dividing each side by factors that don't contain the variable.

Hoped this helped!

Answer:

it hard too

Step-by-step explanation:

it's hard also so

Answer:   180

an = a1 + (n - 1)d

a1 = 6 [1st term]

d = 4 [common difference]

n = 30 [30th term]

a30 = 6 + (30 - 1)*6 = 180

Answer:

If everyone contributed to the bill, everyone would have had to pay 6 dollars each.

Step-by-step explanation:

You take 42, divide it by 7 to get 6.

Answer:

It's A on edge

Step-by-step explanation:

Answer:

A.) x = 6 plus-or-minus 3 StartRoot 10 EndRoot

Step-by-step explanation:

bc im taking test :)

Answer:

140

Step-by-step explanation:

just mutiply 35 by 4, thats h0w i g0t it anyways, h0pe this helped :)

Answer:

its 140 in 4 hours

Step-by-step explanation:

hope this helps!

Answer:

750/100 X 7 = 52.50

52.50 X 3 = $157.50

Step-by-step explanation:

divide principal amount by 100 then multiply by interest percentage. this gave 52.50

now multiply the interest amount by number of years

in this case 3

52.50 X 3 = $157.50

Answer:

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Step-by-step explanation:

Step(i):-

Given points are ( 4,2 0 and ( 7,-3)

Slope of the line

         [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-3-2}{7-4} = \frac{-5}{4}[/tex]

Step(ii):-

Equation of the straight line passing through the point ( 4,2) and

having slope m = [tex]\frac{-5}{4}[/tex]

y - y₁ = m( x- x₁ )

[tex]y - 2 = \frac{-5}{4} ( x-4)[/tex]

4( y -2) = -5( x-4)

4 y - 8 = - 5x +20

5x +4y -8 -20=0

5 x + 4y - 28=0

Final answer:-

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Answer:

254.34 mm².

Step-by-step explanation:

For this problem, we use the formula to find the area of a circle, which is[tex]A=\pi r^2[/tex] . [tex]r[/tex] is the radius, which we can find by dividing the diameter by 2 and [tex]\pi[/tex] in this case is 3.14.

[tex]A=\pi r^2\\A=3.14*(18/2)^2\\A=3.14*9^2\\A=3.14*81\\A=254.34[/tex]

Therefore, the area of either face of the coin is 254.34 mm².

I hope this helps!

Answer:

25-X=10

Step-by-step explanation:

she started with 25 ounces and drank x so thats just subtracting.

By the way X=15

Answer: 76

Step-by-step explanation:

If a pair of parallel lines are cut by a line, the alternate angles are equal to each other. The angles 76 and x are alternate angles, so that means they are equal.

Answer:

$6,583.5

Step-by-step explanation:

Amanda's monthly salary increased by 4.5%. You can get the percentage by getting the increased amount in salary and dividing it by the previous salary of Amanda.

In order to get the new salary of Mary, you have to multiply the same percentage, 4.5%, to Mary's previous salary, $6,300. This will give you the amount that will be added to her new salary.

Mary's new salary is $6,583.5

Answer:

Length: 48

Width: 12

Step-by-step explanation:

Substition

l - 2w = 24

I = 60 - w

60 - w - 2w = 24

60 - 3w = 24

-3w = -36

w = 12

Substitute it into the equation to get the length.

l = 60 - 12

l = 48

Answer:

The prove is explained below:

Step-by-step explanation:

The computation is given below:

Here we needed two equations

Let us assume x = 0.555 --------------- (1)

Now if multiplied it by 10 to the both sides

So, it would be

10x = 5.555............(2)

Now deduct equation 1 from equation 2 in order to remove the recurring decimals  

(10x - x) = (5.5555 - 0.5555 )

9x = 5 (divided the both sides by 9 )

So x = 5 by 9

Answer:

-14

Step-by-step explanation:

-y+5b

insert the values

-4+5(-2)

multiply

-4-10

subtract

-14

Answer:

No it is not

Step-by-step explanation:

You can tell if points can form a function if they have the same x value. If any 2 points have the same x value (The first value in the parenthesis before the comma), they cannot be a function.

Answer:

A

Step-by-step explanation:

Use POE, none of the answer makes any sense

Answer: The correct answer would be A

Step-by-step explanation:

This question asks us what equation could represent the scatter plot.  While we may not be looking for an exact line of fit we want one that can best represent the data that we have.  While I would highly recommend graphing each equation as it would give you a much greater understanding of the material you can also piece together a correct answer just by looking at the equations.  First of all, by looking at the graph we can tell that the slope is negative because as we progress along the x axis the values on the y axis get lower and lower meaning that we have a downward sloping line.  This immediately narrows out D because we can see that there is no - sign before the 9x which represents the slope.  We can also narrow out B right away as the slope is too extreme for our scenario.  A slope of -3 means that it would have to be a lot more vertical than we see represented in this scatter plot.  -3 means that the line would have to go down 3 units for every 1 unit it horizontally moves if that makes sense.  Now we are left with two possible answer choices, A and C.  We can now look at the y intercept point of these equations to determine the best answer.  The y intercept is the point at which the line crosses the y axis.  C has a y intercept of 1 and we see the scatter plot points congregate much higher on the y axis than 1 so that rules out that answer leaving us with A!  Just to double check our answer we know a slope of -3/4x seems reasonable based on the previous information and we can certainly see that a y intercept of 10 would make sense!  I hope this has been of use to you and please do not hesitate if you have anything you would like me to elaborate on :)  Have a wonderful rest of your day!

Answer:

the answer is A which 2(1/7)

Answer:

y= -2 and x= 2.

Step-by-step explanation:

(y=-3x+4)4

(y=4x-10)3

make the x's cancel out.

you get 7y=-14.

y=-2.

-2=-3x+4

x=2

Answer:

K=2

Step-by-step explanation:

I es Smrt