Mathematics College

Use the graph to evaluate the function for the given input value. 20 f(-1) = 10 f(1) = х 2 -10 -20 Activity

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Answer 1

we have that

[tex]f(-1)=-8,f(1)=-12[/tex]

Related Questions

Please help me don't understand

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Answer:

x=13

Step-by-step explanation:

50+3x=89

89-50=3x

39=3x

13=x

Find a function of the form y = A; A * sin(kx) + C or y = A * cos(kx) + C whose graph matches this one:I don’t understand how my answer is wrong

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Recall that the graph of the cosine function is:

Now, notice that the given graph is the above graph but with a midline

[tex]y=1,[/tex]

and amplitude equal to 4. The frequency is also different.

Therefore, the equation of the function given in the graph is:

[tex]y=4cos(\frac{\pi}{5}x)+1.[/tex]Answer: [tex]y=4cos(\frac{\pi x}{5})+1.[/tex]

Write an exponential expression: Let 10 be the base and an even number between 1 and 10 be the exponent.
Then write the exponential expression in expanded form and standard form.

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The exponential expression as required to be chosen is; 10⁴.

The expanded form of the expression is; 10 × 10 × 10 × 10.

The standard form of the expression is; 10,000.

Exponential expressions in expanded form and Standard form.

It follows from the task content that the exponential expression is to be written in expanded and standard form.

Since the exponential expression must have 10 as the base and an even number between 1 and 10 as the exponent.

An example of such exponential expression is therefore;

10⁴.

Hence, to write the expression in expanded form; it is written as a product of factors as follows;

10 × 10 × 10 × 10

Also, the expression can be written in standard form as the result of the multiplication above;

= 10,000.

Read more on exponential expressions in expanded and standard form;

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divide and Simplify 7/5 ÷7/9

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What we have is a fractional division, this is following expression

[tex]\frac{(\frac{7}{5})}{(\frac{7}{9})}[/tex]

For this procedure, it says to multiply the top and bottom ends to get the numerator, and the middle numbers to get the denominator

[tex]\frac{7\cdot9}{7\cdot5}=\frac{9}{5}[/tex]

In conclusion after splitting and simplifying this, the answer is 9/5

So ABC and DEF are the same triangle, this question is asking me to write an equation between the relationships of DEF. How do I write that?

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Explanation

The first step is to draw a representation of the given parameters.

Since this is a right-angle triangle, the Pythagorean theorem applies. This can be seen below;

[tex]\text{Longest Leg}^2=sum\text{ of the square of the short legs}[/tex]

We can then apply it to the sides of the triangle.

DF is the longest side. Therefore,

Answer

[tex]DF^2=DE^2+EF^2[/tex]

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS!!!!!!!!

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Answer:

Option 2

Step-by-step explanation:

hope this helps

You need 30 ounces of chocolate chips to bake some cooldes. You already have 8 ounces of chocolate chips at home. Write an inequality that could beused to find how many ounces of chocolate chips you need to buy.whats the inequality:

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Given:

Amount of chocolate chips needed = 30 ounces

Amount of chocolate you have already = 8 ounces

Let's find the inequality that can be used to find the ounces of chocolate chips you need to buy.

To write the inequality, we have:

8 + x ≥ 30

Where x represents the ounces of chocolate chips you need to buy.

Therefore, the inequality that could be used to fid how many ounces of chocolate chips needed is:

8 + x ≥ 30

ANSWER:

8 + x ≥ 30

1) K thinks of a number, then doubles the number ,and then multiplies the result by 3 . If her final number is 65 more than her original number, then what was her original number?

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An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The original number is 13.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x = 4 is an equation.

We have,

Let the number be K.

K thinks of a number, then doubles the number, and then multiplies the result by 3.

This can be written as:

(2 x k) = 2k ____(1)

3 x (2k) = 6k ____(2)

If her final number is 65 more than her original number can be written as:

6k = 65 + k _____(3)

From (3) we get,

6k = 65 + k

Subtract k on both sides.

6k - k = 65 + k - k

5k = 65

Divide both sides by 5.

5k / 5 = 65 / 5

k = 13

Thus,

The original number is 13.

Learn more about equations here:

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What is the average rate of change from f(-1) to f(1)?Type the numerical value for your answer as a whole number, decimal or fractionMake sure answers are completely simplified

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The average rate of change of the function is the average rate at which one quantity is changing with respect to another.

Average rate of change = (y2 - y1)/(x2 - x1)

y represents the output values and it is also called f(x)

x represents the input values

For the given interval,

for f(- 1), x = -1 and f(x) = 8

For f(1), x = 1, f(x) = 4

Average rate of change = (4 - 8)/1 - - 1) = - 4/(1 + 1) = - 4/2

Average rate of change = - 2

Evalue each expression for the given value(s) of the variable(s)exponents

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Any number raised to the power of zero equals 1, then

[tex]r^0s^{-2}=1\cdot s^{-2}=s^{-2}[/tex]

then, we need to substitute the value 10 in the variable s. It yields,

[tex]s^{-2}=\frac{1}{s^2}\Rightarrow\frac{1}{10^2}=\frac{1}{100}[/tex]

Then, the answer is

[tex]r^0s^{-2}=\frac{1}{s^2}\Rightarrow\frac{1}{100}[/tex]

that is, 1 / 100.

riangle QRS has vertices Q(8, −4), R(−1, 2), and S(3, 7). What are the coordinates of vertex Q after the triangle is reflected across the y-axiriangle QRS has vertices Q(8, −4), R(−1, 2), and S(3, 7). What are the coordinates of vertex Q after the triangle is reflected across the y-axi

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The coordinates of Q should be (-8, -4) because when you reflect over the y-axis the x coordinate become the opposite

why are whole numbers rational numbers?

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Answer:

Step-by-step explanation:

A whole number can be written as a fraction that has a denominator of 1. So, the whole numbers 18, 3, and 234 can be written as the rational numbers 18/1, 3/1, and 234/1.

So, all whole numbers are rational numbers, but not all rational numbers are whole numbers.

ratio problems that I am struggling with

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7 out of every 500 Americans are aged 13-17 years generation are vegetarian

Thus the ratio of the vegetarian is 7 : 500

In a group of 350,

Let x be the number of people who are vegetarian

So, the ratio out of 350 who are vegetarian are : x : 350

SInce the ratio is same so:

[tex]\begin{gathered} 7\text{ : 500=x:250} \\ \frac{7}{500}=\frac{x}{250} \\ \text{ Simplify for x,} \\ x=\frac{7}{500}\times250 \\ x=\frac{7}{2} \\ x=3.5 \\ x\approx4 \end{gathered}[/tex]

So, the number of people who are vegetarian out of 350 people is 4 people

Find the mzEFH, given that mzEFG = 50°. F E G . I

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By theorem, we will have that m

=> m

=>2m

Then, we replace values and solve:

2m m

So, we have that m

10) f(x) = x5 - 10x4 + 42x3 -124 x2 + 297x - 306; zero: 3i ? A) 2, -3i, -4 - i, -4 + i C) 2, -3i, 4 - i, 4 + i B) -2, -3i, -4 -i, -4 + i D) -2, -3i, 4-i, 4 + i

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Answer

Option C is correct.

The roots of the given function include

2, -3i, (4 + i), (4 - i)

Explanation

To solve this, we would put the given roots of the solution into the place of x. The ones that give 0 are the roots of the expression

The expression is