All categories

3 years ago

Solve 7x - 4 = 5x + 15 for x.

Mathematics

1 answer:

Law Incorporation [45]3 years ago

8 0

7x-4=5x+15
-5x on both sides
2x-4=15
add four to both sides
2x=19
divide both sides by 2 to isolate x
x=9.5

You might be interested in

If their were thirty cows and twenty ate chickens how many didn't?

tresset_1 [31]

Answer:

10 didn’t eat chickens

Step-by-step explanation:

30-20=10

6 0

3 years ago

Read 2 more answers

Use the model below to estimate the average annual growth rate of a certain country's population for 1950, 1988, and 2010, where

Morgarella [4.7K]

Answer:

The average annual growth rate of a certain country's population for 1950, 1988, and 2010 are 2.398, 0.9985 and 0.2236 respectively.

Step-by-step explanation:

The given equation is

$Y=-0.0000084x^3+0.00211x^2-0.205x+8.423$

Where Y is the annual growth rate of a certain country's population and x is the number of years after 1900.

Difference between 1950 and 1900 is 50.

Put x=50 in the given equation.

$Y=-0.0000084(50)^3+0.00211(50)^2-0.205(50)+8.423$

$Y=2.398$

Therefore the estimated average annual growth rate of the country's population for 1950 is 2.398.

Difference between 1988 and 1900 is 88.

Put x=88 in the given equation.

$Y=-0.0000084(88)^3+0.00211(88)^2-0.205(88)+8.423$

$Y=0.9984752\approx 0.9985$

Therefore the estimated average annual growth rate of the country's population for 1988 is 0.9985.

Difference between 2010 and 1900 is 110.

Put x=110 in the given equation.

$Y=-0.0000084(110)^3+0.00211(110)^2-0.205(110)+8.423$

$Y=0.2236$

Therefore the estimated average annual growth rate of the country's population for 2010 is 0.2236.

8 0

2 years ago

Y−3=5(x−2) FIND THE SLOPE PF THE LINE ASAP PLS

adelina 88 [10]

Slope is 5

Step-by-step explanation:

Step 1: The equation of the line is y - 3 = 5(x - 2). Find the slope.

y - 3 = 5x - 10

Slope intercept form is y = mx + b, where m is the slope.

y = 5x - 10 + 3

y = 5x - 7

m = 5

4 0

3 years ago

Which Value Is The Eighth Term In The Sequence? <br><br> A. -3125<br> B. -125<br> C. -625

statuscvo [17]

Answer:

Step-by-step explanation:

Substitute n = 8 into the explicit rule

$a_{8}$ = - $\frac{1}{125}$ × $5^{7}$

= - $\frac{1}{5^{3} }$ × $5^{7}$

= - $5^{4}$ = - 625 → C

6 0

3 years ago

Write an expression for the eighth partial sum of the series using summation notation

balandron [24]

Answer:

option B

Step-by-step explanation:

9/10 + 6/5 + 3/2...........

We find the difference between the terms

$\frac{6}{5} - \frac{9}{10}$

$\frac{12}{10} - \frac{9}{10} = \frac{3}{10}$

We will get the same difference when we subtract consecutive terms.

so , d= 3/10, a= 9/10

we find the formula for nth term

a_n = a+(n-1) d

$a_n = \frac{9}{10} + (n-1)\frac{3}{10}$

$a_n = \frac{9}{10} +\frac{3}{10}n-\frac{3}{10}$

$a_n = \frac{6}{10} +\frac{3}{10}n$

$a_n = \frac{3}{5} +\frac{3}{10}n$

we need to find eighth partial sum so we take n=1 to 8

sum of 8 terms ( $\frac{3}{5} +\frac{3}{10}n$ )

So option B is correct

4 0

3 years ago