-Solve the following equation -7=-8+|-3+6x|

Given h(x) = 5x + 2, solve for 2 when h(x) = -8.

san4es73 [151]

Answer:

$\huge\boxed{\sf x = -2}$

Step-by-step explanation:

$\sf h(x) = 5x+2\\\\Put \ h(x) = -8\\\\-8 = 5x+2\\\\Subtract \ 2 \ to \ both \ sides\\\\-8-2 = 5x\\\\-10 = 5x\\\\Divide\ both \ sides \ by \ 5\\\\-10 / 5 = x \\\\x = -2 \\\\\rule[225]{225}{2}$

Hope this helped!

8 0

3 years ago

Determine whether the sequence below is a geometric sequence and, if so, find a formula that describes the sequence. 1, 3, 9, 27

r-ruslan [8.4K]

a geometric sequence is a bunch of numbers where you can get from a number to the next number by multiplying the previous number by a certain number

might be confusing so here's an example

1,2,4,8,16

each term is multiplied by 2 to get next term, that number that each term is multiplied by is called the common ratio

formula for geometric sequence is

$a_n=a_1(r)^{n-1}$

where $a_n$ is nth term

$a_1$ is first term

r is teh common ratio

n=which term

in our example

1,3, 9, 27, 81

each term is being multiplied by 3 so it is a geometric sequence and thus r=3

also first term is 1 so $a_1=1$

so the formula is $a_n=1(3)^{n-1}$ or in function notation $f(n)=1(3)^{n-1}$

7 0

4 years ago

Read 2 more answers

Each line represents a proportional relationship. Write an equation for each line. Show your work.

tiny-mole [99]

Answer:

The equation of line a is y = x

The equation of line b is y = $\frac{2}{3}$ x

Step-by-step explanation:

The equation of the proportional is y = m x, where

m is the slope of the line (constant of proportionality)

The rule of the slope of a line is m = $\frac{y2-y1}{x2-x1}$ , where

(x1, y1) and (x2, y2) are two points on the line

∵ Line a passes through points (0, 0) and (3, 3)

∴ x1 = 0 and y1 = 0

∴ x2 = 3 and y2 = 3

→ Substitute them in the rule of the slope above

∵ m = $\frac{3-0}{3-0}=\frac{3}{3}$

∴ m = 1

→ Substitute in the form of the equation above

∴ y = (1)x

∴ y = x

∴ The equation of line a is y = x

∵ Line b passes through points (0, 0) and (3, 2)

∴ x1 = 0 and y1 = 0

∴ x2 = 3 and y2 = 2

→ Substitute them in the rule of the slope above

∵ m = $\frac{2-0}{3-0}=\frac{2}{3}$

∴ m = $\frac{2}{3}$

→ Substitute in the form of the equation above

∴ y = ( $\frac{2}{3}$ ) x

∴ y = $\frac{2}{3}$ x

∴ The equation of line b is y = $\frac{2}{3}$ x

7 0

3 years ago

Robin can clean 727272 rooms in 666 days.<br> How many rooms can Robin clean in 999 days?

Finger [1]

Answer:

1,090,908

Find the half of 727272,then when you find the half,add it to 727272

>727,272÷2=363,636

>727,272+363,636=1,090,908

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

1. Suppose on a sample of Montanans it is found the mean salary is equal to 30,000. When we use a statistic like this to simply

Kitty [74]

Answer:

1. Suppose on a sample of Montanans it is found the mean salary is equal to 30,000. When we use a statistic like this to simply describe a sample, this is an example of:

a) an inferential statistic

b) a descriptive statistic

c) a sample median

d) random sampling

e) b and c

2. If we collect observations on 100 people, and measure their IQ, the 100 observations is:

a) a sample

b) a population

c) a sample with likely no variability

d) a or b are possibilities, depending on the scope of the investigation

e) a variable

Suppose the trace of a matrix is equal to 10. If this matrix is also an identity matrix, how many rows must the matrix have?

10

equal to the number of columns of the matrix

0

a and b

impossible to say without further information

4. If it is universally known in general that all cats have four legs, then the conclusion that your particular cat has four legs is an example of:

inductive inference

deductive inference

statistical inference

d) a mathematical function

e) none of the above

5. Suppose you have values on variable equal to , and wish to compute a measure of variation from the mean. Without knowing what the exact values of the variable are, which of the following measures will necessarily generate a positive number (which is of course different from zero) regardless of the values for ?

a) the sum of absolute deviations from the mean

b) the sum of deviations from the mean

c) the sum of squared deviations from the mean

d) the standard deviation

e) a and c

f) none of the above

6. One common interpretation of the derivative in mathematics is:

a quadratic function

an instantaneous rate of change

the limit of a linear function

none of the above

7. Consider the numbers 1, 2, 3, 4 assigned to values of a variable. The variable being measured is most likely:

a) quantitative

b) qualitative

c) one for which computing the standard deviation would likely be appropriate

d) one for which computing the median would definitely be inappropriate

e) a and c

8. Integration in calculus is generally used for:

computing the rate of change of one variable with respect to another

computing areas under curves

computing areas in rectangles only

none of the above

9. If the mean of some data set is equal to 10, then this necessarily implies:

a) 1/2 of the scores fall above and below the mean of 10

b) the score of 10 must exist in the actual data set of recorded values

c) the variance of the data is probably negative

d) the standard deviation cannot be greater than 10

e) the distribution is normal

f) none of the above

10. If you compute the arithmetic mean, the sum of deviations of scores from that mean are always equal to:

a) 1

b) 0

c) 0 or a positive number

d) a squared number

e) none of the above

4 0

3 years ago