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3 years ago

−14 + 6x + 7 − 2x = 1 + 5x please answer this problem with work

1 answer:

6 0

Let's solve your equation step-by-step.− 14 + 6x + 7 − 2x = 1 + 5x
Step 1: Simplify both sides of the equation.−14 + 6x + 7 − 2x = 1 + 5x
Simplify: 4x - 7 = 5x + 14x − 7= 5x + 1
Step 2: Subtract 5x from both sides.4x − 7 − 5x = 5x + 1 − 5x− x − 7 =1 
Step 3: Add 7 to both sides.−x − 7 + 7= 1+7−x=8
Step 4: Divide both sides by -1.‌−x/−1 ‌=‌ 8/−1‌x= −8
Answer:x= −8
hope this helps :)

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Mr.karros is buying 2 digital cameras for the yearbook club.The price of each camera is $259.What is the total price of the came

OLga [1]

1 camera = 259

2 cameras = 259 * 2 = 518

So the total price is $518

7 0

3 years ago

If the simple interest on $6,000 for 9 years is $3,240 , then what is the interest rate?

igor_vitrenko [27]

Rate of interest is 6 %

Solution:

Given in question that,

simple interest = $ 3240

number of years = 9 years

principal sum = $ 6000

To find: interest rate

The simple interest is given as:

$S.I = \frac{pnr}{100}$

Where, "p" is the principal

"r" is the rate of interest

"n" is the number of years

Substituting the values in above formula,

$3240 = \frac{6000 \times 9 \times r}{100}\\\\3240 = 60 \times 9 \times r\\\\3240 = 540 \times r\\\\r = \frac{3240}{540}\\\\r = 6$

Thus rate of interest is 6 %

8 0

3 years ago

A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our a is -4.9 and b is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

3 years ago

Read 2 more answers

A sandwich shop offers 4 different meats and 2 different cheeses. Suppose the sandwich shop offers 24 different meat-cheese sand

Sergio039 [100]

Answer:

Step-by-step explanation:

You would do this question like this.

4 meats * 2 cheeses * x breads = 24 different kinds of sandwiches.

8x = 24

8x/8 = 24/8

x = 3

There are 3 different kinds of breads.

4 0

3 years ago

Analyze the diagram below and complete the instructions that follow.

Kamila [148]

I think the ans is 10

7 0

2 years ago