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2 years ago

Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane.

Mathematics

1 answer:

Tamiku [17]2 years ago

8 0

Answer:

x = 2

Step-by-step explanation:

To solve the equation, you need to set both functions equal to each other and simplify to find the value of "x".

f(x) = 2x + 1

g(x) = -x + 7

f(x) = g(x) <----- Given equation

2x + 1 = -x + 7 <----- Insert functions

3x + 1 = 7 <----- Add "x" to both sides

3x = 6 <----- Subtract 1 from both sides

x = 2 <----- Divide both sides by 3

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Find n. Use the pictures for more info

SSSSS [86.1K]

9514 1404 393

Answer:

A. 5

Step-by-step explanation:

The base AB is twice the length of the midsegment CD.

8n +10 = 2(5n)

8n +10 = 10n . . . . . eliminate parentheses

10 = 2n . . . . . . . . . subtract 8n

n = 5 . . . . . . . . . . . divide by 2

8 0

3 years ago

If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?

Mice21 [21]

Answer:

$172,984.44

Step-by-step explanation:

We can use the formula

$A = P(1 + \frac{r}{n})^{nt}$ to compute the final amount

Here P is the principal amount, the original deposit = $25,000

r is the annual interest rate = 6.5% = 0.065 in decimal

n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year

t is the number of time periods ie 30 years

A is the accrued amount ie principal + interest

Computing different components,

$nt = 4 \times 30 = 120$

$r/n = 0.065/4 = .01625$

$1 + r/n = 1.01625$

$(1 + r/n)^{nt} = 1.01625^{120}$

Therefore

$A = 25000 \times 1.0625^{120} = 172,984.44$

4 0

2 years ago

15 EASY POINTS HURRY-how could you use a coordinate grid to show that an equation in two variables x and y is not a linear equat

alekssr [168]

Answer:

Well a linear equation is in a straight line. To show it was not linear on a coordinate grid the slope would not be a straight line

Step-by-step explanation:

7 0

3 years ago

Factor completely. 12x4+18x3+45x2 Enter your answer in the box.

lukranit [14]

QUESTION 1

The given expression is

$12x^4+18x^3+45x^2$

The greatest common factor is $3x^2$ .

We factor to obtain;

$3x^2(4x^2+6x+15)$

QUESTION 2

The given quadratic equation is

$x^2+6x-72=0$

We split the middle term to obtain

$x^2+12x-6x-72=0$

Factor by grouping;

$x(x+12)-6(x+12)=0$

$(x+12)(x-6)=0$

Use zero product property;

$(x+12)=0\:\:or\:\:(x-6)=0$

$x=-12\:\:or\:\:x=6$

QUESTION 3

The given system of equation is

$3x+4y=-8$

$7x-3y=6$

If we multiply $3x+4y=-8$ by 3, we obtain;

$9x+12y=-24$

If we multiply $7x-3y=6$ by 4 we obtain;

$28x-12y=24$

Adding the last two equations will give us;

$37x=0$

The y-variable is eliminated.

Answer:Multiply 3x+4y=−8

by 3. Multiply 7x−3y=6 by 4. Add the resulting equations together.

6 0

3 years ago

two crates contain Apple's, pears and oranges. there are 184 apples and pears in crate one and 248 apples and oranges in the sec

Ray Of Light [21]

Answer: There are 152 apples.

The explanation is shown below:

- You need to write the following three equations, where $a$ is the the number of apples, $p$ is the number of pears and $o$ is the number of oranges:

1) $a+p=184$

2) $a+o=248$

3) $o=3p$

- You must substitute the equation 3) into the equation 2):

$a+3p=248$

- Now, you need to solve for $p$ in the equation 1) and then you must substitute it into $a+3p=248$ :

$p=184-a$

$a+3(184-a)=248$

- Solve for $a$ , as following:

$a+552-3a=248\\-2a=-304\\a=\frac{-304}{-2}\\a=152$

- Therefore, there are 152 apples.

7 0

3 years ago