1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
JulijaS [17]
3 years ago
5

The solutions to the equation f(x) = g(x) are -2 and 1. Iff and g are graphed on the same coordinate plane, which statement must

be true?
The functions will intersect at x = -2 and x = 1.
The functions will intersect at y = -2 and y = 1.
Both functions will have y-intercepts at 2 and 1.
Both functions will have x-intercepts at -2 and 1.
Mathematics
2 answers:
san4es73 [151]3 years ago
8 0

Answer:

A. The functions will intersect at x = -2 and x = 1.

Step-by-step explanation:

Oksanka [162]3 years ago
6 0

Answer:

The correct option is;

The function will intersect at x = -2 and x = 1

Step-by-step explanation:

The question parameters are

The functions in the question are f(x) and g(x)

The solution to the equation f(x) = g(x) are -2, and 1

Given that the equations, f(x) and g(x), are both given in values of x, their solution will be the x values that satisfies both functions

Therefore, the functions will intersect (have the same values of f(x) and g(x)) at the points of the solutions, which are given as x = -2, and x = 1

You might be interested in
The nth term of a sequence is 3n-5. Write down the first three terms of the sequence.
Anastasy [175]

Answer: -2, 1, 4

Step-by-step explanation:

N is the term number

For the first term, it is 3 multiplied by 1, minus 5, or -2

For the second term, it is 3 multiplied by 2, minus 5, or 1

For the third term, it is 3 multiplied by 3, minus 5, or 4

7 0
2 years ago
If the slope is 2 and the line goes through (3,-3) what is the equation?
motikmotik

Answer:

y = 2x -9

Step-by-step explanation:

To find the equation of a line using slope and a point, first use the slope to create the basic line using the slope and work from there.

For instance, the base equation here is

y = 2x

This line passes through the point (0, 0).

You can then plug in a value for x. In this case, use the value of 3, as it corresponds with your question.

y = 2 * 3

A point on the line of y = 2x would thus be (3, 6).

To make the y-value equal -3, you must then subtract from the original equation. There are 9 units between 6 and -3, so you must subtract nine units in the equation. You should get this at the end:

y = 2x -9

6 0
3 years ago
A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1
adoni [48]

Answer:

The correct option is A:

MAD = 1 + 1/4

Step-by-step explanation:

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is calculated as:

M = \frac{x_1 + x_2 + ... + x_n}{N}

And the mean absolute deviation is calculated as:

MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}

Here we have the set of 8 elements:

{ 2, 2, 3, 4, 4, 5, 6, 6}

The mean of this set is:

M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4

Then the mean standard deviation is:

MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8

If we simplify this, we get:

MAD = 10/8 = 5/4  = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4

MAD = 1 + 1/4

The correct option is A.

6 0
3 years ago
Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.
Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral \int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx, we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}

= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} }  \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du }  \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}]  \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\

= \dfrac{u^{-4}}{40} \\\\\\= \dfrac{1}{40u^4} +C

substitute u = 1-2x⁵ into the result

= \dfrac{1}{40(1-2x^5)^4} +C

Hence\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx = \dfrac{1}{40(1-2x^5)^4} +C

5 0
3 years ago
Four artists open a business selling paintings and agree to split the profits equally. They spent $150 on supplies. If their tot
pashok25 [27]
First, I would subtract 150 from 870. You get 720. Then I would divide that equally among the four artists. 720/4=180. So each person's share is $180.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the number of real number solutions for the equation. x2 – 3x + 8 = 0<br><br><br> 1<br><br> 0
    9·1 answer
  • A bank wishes to invest a $100, 000 trust fund in three sources: bonds paying 8%; certificates of deposit paying 7%; and first m
    6·1 answer
  • What is the value of x in the equation 1/5x-2/3y=30 when y=15
    7·2 answers
  • The population of a local species of mosquitos can be found using an infinite geometric series where a1 = 740 and the common rat
    15·1 answer
  • Determine which situation(s) best describes operations with the numbers 4.58 and -0.145. Select all situations that apply.
    5·1 answer
  • 4x +3y +2x -y <br> what is the answer
    15·2 answers
  • Find the value of X:
    12·1 answer
  • Sarah buys 5 rulers and 4 pens work out how much she will pay give your answer in £
    10·1 answer
  • Referring to the figure, find the value of x
    14·1 answer
  • FREEEEEEE POINTSSSSSSSSFREEEEEEE POINTSSSSSSSSFREEEEEEE POINTSSSSSSSSFREEEEEEE POINTSSSSSSSSFREEEEEEE POINTSSSSSSSSFREEEEEEE POI
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!