MATHEMATICS HIGH SCHOOL

a test has 25 questions and is worth a total of 100 points. it consists of multiple choice that are worth 8 points each and short answer that are worth 3 points each. how many multiple choice are there on the test?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

8*5=40 and then 20 short answer that are 3 each. that makes up the rest of the 60 points

Answer 2

Answer:

Answer:

There would be 5 multiple choice questions

Step-by-step explanation:

5x8=40

20x3=60

25 questions for total of 100 points

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How can x + 8 = -x + 7 be set up as a system of equations? y = x + 8 y = -x + 7 y = x + 8 y = -3x + 7 y = x + 5 y = -2x + 11 y = 8 y = -3x + 7

One quadratic function has the formula h(x) = -x 2 + 4x - 2. Another quadratic function, g(x), has the graph shown belowWhich option below best describes the maximums of these two functions?

Functions g and h have the same maximum of -2.
Functions g and h have the same maximum of 2.
Function h has the greater maximum of -2.
Function g has the greater maximum of 2.

Answers

We are comparing maxima. From the graph we know that the max of one graph is +2 at x = -2. What about the other graph? Need to find the vertex to find the max.

Complete the square of h(x) = -x^2 + 4x - 2:

h(x) = -x^2 + 4x - 2 = -(x^2 - 4x) -2
= -(x^2 - 4x + 4 - 4) - 2
=-(x^2 - 4x + 4) -2+4
= -(x-2)^2 + 2 The equation describing this parabola is y=-(x-2)^2 + 2, from which we know that the maximum value is 2, reached when x = 2.

The 2 graphs have the same max, one at x = -2 and one at x = + 2.

Answer:

Functions g and h have the same maximum of 2.

Step-by-step explanation:

Which system of equations can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x?

Answers

we have

$4x^5-12x^4+6x=5x^3-2x$

Separate the equation above in two equations

equation $1$

$y=4x^5-12x^4+6x$

equation $2$

$y=5x^3-2x$

we know that

In a system of equations the roots of the equation $1$ must satisfy equation $2$ and the roots of the equation $2$ must satisfy equation $1$

therefore

the answer is

The system of equations is

$y=4x^5-12x^4+6x$

$y=5x^3-2x$

Simplifying 4x4 = 12x2 Solving 4x4 = 12x2 Solving for variable 'x'. Reorder the terms: -12x2 + 4x4 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -12x2 + 4x4 = 0 Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-3 + x2) = 0

How do you write the standard number 0.000068 in scientific notation?6.8 × 10-4
6.8 × 10-5
6.8 × 10-7
6.8 × 10-6

Answers

6.8 * 1--5 or also known as the second answer.

Which graph represents the solution to the system of inequalities?x + y ≤ 4

y – x ≥ 1

Answers

Given inequalities are

$x+y\le4$ and

$y-x\ge1$

Now we will graph both inequalities to get the common region which represents solution.

Work for $x+y\le4$

first we graph the line x+y=4 then shade the graph for inequality symbol $\le$

we can plug any random number for x and find y-value to get points

lets plug x=0 then we get:

x+y=4

0+y=4

y=4

so the point is (0,4)

Similarly we can find more point like (4,0).

Now graph both points and join both points by straight line.

Now we find direction of shading.

pick any test point which is not on that line x+y=4 say (0,0)

and plug it into orinal inequality $x+y\le4$

$0+0\le4$

$0\le4$

which is true.

True means shade in direction of test point. Otherwise we shade in opposite direction.

We will repeat same process for other inequality to graph that.

Hence final graph for the answer will be as shown in attached image.

Triangular region ABC is final answer.

Two numbers multiply to be -40 and add to be 3. What are the numbers?

Answers

Answer:

The numbers are (x,y)=(-5,8) or (8,-5)

Step-by-step explanation:

Let two numbers be x and y,

We have,

x+y=3

x=3-y---(i)

Now,

xy=-40

(3-y)y=-40 [From (i)]

3y-y^2=-40

y^2-3y-40=0

Factoring,

(y + 5) (y - 8)=0

Either,

y+5=0 or, y-8=0

y=-5 y=8

When y=-5,

x=3-y

3--5

3+5

When y=8,

x=3-y

3-8

-5

Explain how you can tell 31\33 is in simplest form

Answers

because the factors of 33 are 11 and 3
31 doesn't have a factor of 11 or 3 so it is simplest form

also, 31 is prime so it can't be factored

Other Questions

Simplify the expression above

A cereal company used to fill the boxes with 16 ounces of cereal. They have reduced that amount to 14 ounces. The percent decrease is 87.5%. True or false

Does anyone know what the equation would be

2(3−8y)=? Does anyone know what this is?