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2 years ago

If EG = 59, and EF = 8x - 14, while FG = 4x + 1

Mathematics

1 answer:

lyudmila [28]2 years ago

4 0

Answer:

x = 6

Step-by-step explanation:

EG = 59

EF = 8x - 14

FG = 4x + 1

to find the value of x

EF + FG = EG (same line)

8x - 14 + 4x + 1 = 59

12x -13 = 59

12x = 59 + 13

12x = 72

x = 72 ÷ 12

x = 6

You can even cross check for correct answer

EF + FG = EG

instead of x place the x's value we got

8x - 14 + 4x + 1 = 59

8 (6) - 14 + 4 (6) + 1 = 59

48 - 14 + 24 + 1 = 59

34 + 25 = 59

59 = 59

CROSS - CHECKED

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A function is defined by f (x) = 5 (2 minus x). What is f(–1)? –5 5 15 53

Helen [10]

Answer:

f(-1) = 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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Left to Right

Algebra I

Functions
Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 5(2 - x)

Step 2: Evaluate

Substitute in x [Function f(x)]: f(-1) = 5(2 - -1)
(Parenthesis) Subtract: f(-1) = 5(3)
Multiply: f(-1) = 15

5 0

3 years ago

Read 2 more answers

Find the slope of the function f ( x ) = 5x/2 + 3, by the definition of limit. Express answer as a fraction using the "/" key as

musickatia [10]

$\huge{\boxed{\frac{5}{2}}}$

Slope-intercept form is $f(x)=mx+b$ , where $m$ is the slope and $b$ is the y-intercept.

$\frac{5x}{2}=\frac{5}{2}x$ , so change the equation to represent this. $f(x)=\frac{5}{2}x+3$

Great! Now the function is in slope-intercept form, so we can just see that $m$ , or the slope, is equal to $\boxed{\frac{5}{2}}$

3 0

3 years ago

34. A MasterCard statement shows a balance of $510 at 13.9% compounded monthly. What monthly payment will pay off this debt in 1

bixtya [17]

Answer:

The monthly payment is $35.10.

Step-by-step explanation:

p = 510

r = $13.9/12/100=0.011583$

n = $12+4=16$

The EMI formula is :

$\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }$

Now putting the values in formula we get;

$\frac{510\times0.011583\times(1+0.011583)^{16} }{(1+0.011583)^{16}-1 }$

=> $\frac{510\times0.011583\times(1.011583)^{16} }{(1.011583)^{16}-1 }$

= $35.10

Therefore, the monthly payment is $35.10.

8 0

3 years ago

Gerry's electric toothbrush rotates the brush 125 times per second.

makkiz [27]

Answer:

Her electric toothbrush makes 210,000 rotations in one week

Step-by-step explanation:

Note that:

1 minute = 60 seconds

1 week= 7 days

∵ Gerry brushes her teeth for two minutes, twice a day

→ Twice means times 2

∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day

∵ Gerry's electric toothbrush rotates the brush 125 times per second

∵ 1 minute = 60 seconds

→ Multiply 125 by 60 to find the number of rotating in 1 minute

∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute

∵ Gerry brushes her teeth for 4 minutes a day

→ Multiply it by 4 to find the number of rotation in 1 day

∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day

∵ 1 week = 7 days

→ Multiply the number of rotation in 1 day by 7 to find it in 1 week

∴ Gerry's electric toothbrush rotates 30,000 × 7 = 210,000 in 1 week

∴ Her electric toothbrush makes 210,000 rotations in one week

3 0

3 years ago

In 8 minutes,josh was able to type 496 words.What's his typing speed in words per minute

leva [86]

62 words per minute. You would divide 8 from 496 since you need to find out how many words he can type in a minute. Your answer is 62 words per minute.

Hope this helped! :)

3 0

3 years ago