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3 years ago

511 = -7 (10x – 13) steps

Mathematics

2 answers:

densk [106]3 years ago

7 0

Answer:

$511 = - 7(10x - 13) \\ 511 = - 70x + 91 \\ 511 - 91 = - 70x \\ 420 = - 70x \\ \frac{420}{ - 70} = \frac{ - 70x}{ - 70} \\ \\ x = - 6$

hope this helps you...

PilotLPTM [1.2K]3 years ago

3 0

Answer: $x=-6$

Simplify both sides of the equation

$511=(-7)(10x)+(-7)(-13)(Distribute)\\511=-70x+91$

Flip the equation

$-70x+91=511$

Subtract 91 from both sides

$-70x+91-91=511-91\\-70x=420$

Divide both sides by -70

$-70x/70=420/-70\\x=-6$

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1A technical magazine stated that the mean retail cost of all models of a particular laptop was $600. A random sample of 10 stor

My name is Ann [436]

Answer:

Yes

Step-by-step explanation:

Given,

Population mean Z = 600

Sample mean, µ = 586.50

Size of the sample, n = 10

Standard deviation, σ = 26.77

The testing hypothesis is,

Null hypothesis = µ<600

Alternative hypothesis = µ≥600

The test statistics is the calculated value of Z,

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3 years ago

Please help!!! I don’t understand it at all and I need it ASAP!

Ivenika [448]

9514 1404 393

Answer:

$\textbf{D.}\quad g(x)=\sqrt{x+6}+4$

Step-by-step explanation:

A lot of math is about matching patterns.

For example, ...

g(x) = f(x -h) +k

means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).

In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).

The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.

f(x) = √x

g(x) = f(x+6) +4

g(x) = √(x+6) +4 . . . . . . matches choice D

_____

* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for right 6 units, so h=-6 for left 6 units. Then x-h = x-(-6) = x+6.

Comment on the graph

I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).