Vanessa has scored 45, 32, and 37 on her three math quizzes. She will take one more quiz and she wants a quiz average of at least 40. What is the minimum score Vanessa needs to earn on her fourth quiz? Enter your answer in the box.

Answers

Answer 1

Answer:

Vanessa needs at least a 46 on the 4th quiz.

What is an average?

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that Vanessa has scored 45, 32, and 37 on her three math quizzes. She will take one more quiz and she wants a quiz average of at least 40. The minimum score will be calculated as below:-

First, find the average of the three.

45 + 32 + 37 = 114

114÷3 = 38

4 total quizzes, for a 40 average on 4 quizzes, she needs

40 x 4 = 160 total points

For 3 quizzes she has,

45 +32 +37 = 114 points

For the fourth quiz,

160-114 = 46

Therefore, Vanessa needs at least a 46 on the 4th quiz.

To know more about an average follow

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Answer 2

Answer:

45 + 32 + 37 = 114

114÷3 = 38

4 total quizzes,

for a 40 average on 4 quizzes she needs 40*4 = 160 total points

for 3 quizzes she has 45 +32 +37 = 114 points

160-114 = 46, she needs at least a 46 on the 4th quiz

C. $9x^(3)+11 x^(2) +3x-33$

Step-by-step explanation:

A polynomial is prime if it can't be factored in polynomials of lower degree. Let's factorize:

A. $7x^(2) -35x+2x-10$

In this case we have 4 terms, so we can use Grouping:

Part a:

$7x^(2) -35x$

We're going to use Greatest common factor:

$=7x^(2) -7.5x\n=7x(x-5)$

Part b:

$2x-10$

In this part we also use greatest common factor:

$2x-10=2x-2.5\n=2(x-5)$

Then,

$7x^(2) -35x+2x-10=\n 7x(x-5)+2(x-5)=\n =(7x+2)(x-5)$

This polynomial is not prime.

B. $9x^3 + 11x^2 + 3x-33$

This polynomial cannot be factorized then it's prime.

C. $10x^3-15x^2 + 8x-12$

In this polynomial we can use grouping too:

Part a:

$10x^3 -15x^2=2.5x^3-3.5x^2\n=5x^2(2x-3)$

Part b:

$8x-12=4.2x-4.3\n=4(2x-3)$

Then,

$10x^3-15x^2 + 8x-12=\n=5x^2(2x-3)+4(2x-3)\n=(5x^2+4)(2x-3)$

This polynomial isn't prime.

D. $12x^4 + 42x^2 + 4x^2 + 14$

First we're going to use Greatest common factor:

$12x^4 + 42x^2 + 4x^2 + 14=\n2.6x^4+2.21x^2+2.2x^2+2.7=2(6x^4+21x^2+2x^2+7)$

Now we're going to apply grouping on the terms inside of the parenthesis:

$6x^4+21x^2+2x^2+7$

Part a:

$6x^4+2x^2=2.3x^4+2x^2=2x^2(3x^2+1)$

Part b:

$21x^2+7=7.3x^2+7=7(3x^2+1)$

Then,

$6x^4+21x^2+2x^2+7=2x^2(3x^2+1)+7(3x^2+1)\n=(2x^2+7)(3x^2+1)$

Remember that at the beginning we use Greatest common factor:

$12x^4 + 42x^2 + 4x^2 + 14=\n=2.(6x^4+21x^2+2x^2+7)\n=2(2x^2+7)(3x^2+1)$

This polynomial isn't prime.

Answer:

B not C 9x^3 + 11x^2 + 3x - 33

Step-by-step explanation:

A straight line has gradient m and passes through the points (0,-2). Find the two values for m for which the line is tangent to the curve y=x^2-2x 7. And for each value of m, find the coordinates of the points where the line touches the curve

Answers

Answer:

when m=2 or -2, the line is tangent to the curve at the points (2.7) and (0,7)

Step-by-step explanation:

Answer:

Hi,

Step-by-step explanation:

The curve is y=x^²-2x+7

The tangent has for equation: y=mx-2

Let's find the intersection of the tangent and the curve.

$mx-2=x^2-2x+7\n\nx^2+(-2-m)x+9=0\n\Delta=(-2-m)^2-4*9=m^2+4m-32\nThe\ point\ must\ be \ unique: \Delta=0\n\nm^2+4m-32=0\n\delta=4^2+4*32=144=12^2\n\nm=(-4-12)/(2) =-8\ or\ m=(-4+12)/(2) =4\n\nx^2+(-2-m)x+9=0\ and\ \Delta=0 = > x=(2+m)/(2) \n\nif\ m=-8\ then\ x=(2+(-8))/(2)=-3\ and\ y=mx-2=(-8)*(-3)-2=22\n\nif\ m=4\ then\ x=(2+4)/(2)=3\ and\ y=mx-2=4*3-2=10\n\n\nCoordinates\ of\ the\ points\ are (-3,22)\ and\ (3,10)\n$

The vertices of a pre-image are located at the points (-6,3), (0,0), and (3,6). The end image triangle has coordinates of (-2,1), (0,0), and (1, 2). What type of dilation is it?

A: Expansion
B: Contraction
C: Rotation
D: Diagram

Answers

The correct answer for the question that is being presented above is this one: "B: Contraction." The vertices of a pre-image are located at the points (-6,3), (0,0), and (3,6). The end image triangle has coordinates of (-2,1), (0,0), and (1, 2). The dilation is B: Contraction

Answer:

Option B. contraction

Step-by-step explanation:

The vertices of a pre-image are located at the points (-6, 3), (0, 0), and (3, 6).

The end image triangle has the vertices at (-2, 1), (0, 0), and (1, 2).

Here we can see that one point (0, 0) is common in both the triangles and rest two vertices in end image are changed from the pre-image.

Now we find the ratio of x and y coordinates from end and pre-image we find a ratio of $(-2)/(-6)=1:3$ in x-coordinates.

similarly for y coordinates $(1)/(3)=1:3$ .

Now we can say that there is a contraction in the vertices of end image about the origin (0, 0).

Therefore Option B. Contraction is the correct option.

43 is 120% of what number? 0.36 3.58 358.33 35.83

Answers

Answer:

The correct option is 4.

Step-by-step explanation:

It is given that 120% of a number is 43.

Let the number be x.

$x* (120)/(100)=43$

$x* (12)/(10)=43$

Multiply both sides by 10.

$x* 12=43* 10$

$12x=430$

Divide both sides by 12.

$x=(430)/(12)$

$x=35.8333333333$

$x\approx 35.83$

The required number is 35.83. Therefore the correct option is 4.

Peter uses unit cubes to build a figure in the shape of the letter x. What is the fewest unit cub es that peter can use to build the figure?

Answers

X letter is formed by two lines. The minimum amount of cubes that one side may have to look a line that cross other line is 3, but given that one cube is shared by the two lines you only need 5 cubes. So the answer is that the fewest unit cubes that Peter can use to build the figue in the shpe of X is 5 cubes.

What is the value of the x variable in the solution to the following system of equations? 3x + 2y = 8
2x + 3y = 2

4
−2
x can be any number as there are infinitely many solutions to this system
There is no x value as there is no solution to this system

Answers

(3x + 2y = 8)X-3
-9x -6y = -18

(2x + 3y =2)X2

-9x -6y = -18
4x + 6y = 4
------------------
-5x + 0 = -14
-5x = -14
x = 14/5

If you wanted to find y
2y = 8 - 3(x)
2y = 8 - 3(14/5)
2y = -0.4
y = -0.2

I know this is a bit confusing, let me know if you need help :) also i hope this answered your question, sorry if it didn't xx

Other Questions

Find the product of (–d + e)(4e + d). Which statements are true? Check all that apply.A=There are 2 terms in the product. B=There are 3 terms in the product. C=There are 4 terms in the product. D=The product is degree 1. E=The product is degree 2. F=The product is degree 4.

In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. What is the length of the other leg in inches?

H(x) = –x + 5. Which could you change to move the graph down 3 units

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Vanessa has scored 45, 32, and 37 on her three math quizzes. She will take one more quiz and she wants a quiz average of at least 40. What is the minimum score Vanessa needs to earn on her fourth quiz? Enter your answer in the box.

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What is an average?

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C. $9x^(3)+11 x^(2) +3x-33$