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Reptile [31]
3 years ago
12

Leeza did this to solve an equation. Did she makes an error 4x=7+3(2x-5) 4x=7+6x-5

Mathematics
2 answers:
katrin [286]3 years ago
8 0

Yes, there was a mistake in applying the distributive property. If you have to perform

3(2x-5)

you have to multiply both terms in the parenthesis by 3, not just the first one.

So, the correct expansion would be

3(2x-5) = 3\cdot 2x - 3 \cdot (-5) = 6x-15

sertanlavr [38]3 years ago
4 0

she has not distributed - 5 by 3 = - 15

4x = 7 + 3(2x - 5) ( distribute by 3 )

4x = 7 + 6x - 15 ( subtract 6x from both sides )

4x - 6x = 7 - 15

- 2x = - 8 ( divide both sides by - 2 )

x = \frac{- 8}{- 2} = 4


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Nth term of 1 8 15 22 29
k0ka [10]
This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=first term, d=common difference, n=term number.

We know a=1 and d=7 so:

a(n)=1+7(n-1)

a(n)=1+7n-7

a(n)=7n-6 

The above is the "rule" for the nth term.
8 0
3 years ago
Read 2 more answers
Value of the y-intercept of the graph of f(x) = e1–x – 1?
frozen [14]

Answer:

(0, e-1) or (0, 1.718) to the nearest thousandth.

Step-by-step explanation:

The y-intercept occurs when x = 0 so here we have:

y = e^(1 - 0) - 1

= e - 1

So the y-intercept is the point (0, e-1)

5 0
3 years ago
write an equation of the perpendicular bisector of the line segment whose endpoints are (-1,1) and (7,-5)
gladu [14]
Find midpoint of segment.
(-1,1), (7,-5)
x= \frac{-1+7}{2}=3,y= \frac{1+(-5)}{2}=-2

Find slope of line which passes through (-1,1) and (7,-5).
m= \frac{-5-1}{7-(-1)}= \frac{-6}{8}=- \frac{3}{4}

The slope of perpendicular line is negative reciprocal value of m.
m_{\perp}=- \frac{1}{m} =- \frac{1}{- \frac{3}{4} } = \frac{4}{3}

Write quation of line which slope is \frac{4}{3} and passes throug the point (3,-2).
m=\frac{4}{3},x_1=3,y_1=-2
\\y-y_1=m(x-x_1)
\\
\\y-(-2)=\frac{4}{3}(x-3)
\\
\\y+2=\frac{4}{3}x-\frac{8}{3}
\\
\\3y+6=4x-8
\\4x-3y-14=0

3 0
3 years ago
U will be made brainiest if this answer is right
Daniel [21]

Answer:

x= -7

Step by Step Explanation:

We can write them both like functions like this

A= 5x- 4

B= 3x+ 8

The output of A will be three times the output of B

A=3b

We replace with the functions

5x-4= 3

We solve for x

5x= -4= 9x + 24

5x- 9x= 24 + 4

-4x= 28

x= 28 - 4

x= -7

The output that makes the out put of A 3 times the output of B is -7

Hope it helped

4 0
3 years ago
A package weighs 80 ounces. What is the weight of the package in pounds?
Degger [83]

Answer:

5

Step-by-step explanation:

1 ounce = 0.0625

0.0625 x 80 = 5

3 0
2 years ago
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