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2 years ago

Evaluate the function for h(1) h(x) = |1 – 7x|

Mathematics

1 answer:

daser333 [38]2 years ago

6 0

Answer:

We conclude that:

$h\left(1\right)=6$

Step-by-step explanation:

Given

The function is

$h\left(x\right)\:=\:|1\:-\:7x|$

To determine

h(1) = ?

Given the function

$h\left(x\right)\:=\:|1\:-\:7x|$

substitute x = 1 in the function

$h\left(1\right)=\left|1-7\left(1\right)\right|$

$h(1)=\left|1-7\right|$

$h(1)=\left|-6\right|$

Apply absolute rule: |-a| = a

$h\left(1\right)=6$

Therefore, we conclude that:

$h\left(1\right)=6$

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Dvinal [7]

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Vertex Z of trapezoid WXYZ has coordinates (−9, 9).

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2 years ago

Paul has $145 in his savings account. He earns $36 a week mowing lawns. If Paul saves all of his earnings, after how many weeks

Lemur [1.5K]

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount ( $C_{o}$ ), measured in monetary units, and week earning ( $R$ ), measured in monetary units, multiplied by a number of weeks ( $n$ ), dimensionless:

$C =C_{o} + n\cdot R$ (1)

Now we clear the number of weeks within the formula:

$n = \frac{C-C_{o}}{R}$

If we know that $C_{o} = \$\,145$ , $C = \$\,450$ and $R = \$\,36$ , then the number of weeks is:

$n = \frac{\$\,450-\$\,145}{\$\,36}$

$n = 8.472$

Paul will have no more than $ 450 in next 8 weeks.

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What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?

Pavel [41]

$\boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}$

<h2>Explanation:</h2>

Using the quadratic formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ Here: \\ \\ f(x) = x^2 + 5x + 5 \\ \\ \\ So: \\ \\ a=1 \\ \\ b=5 \\ \\ c=5 \\ \\ \\ x=\frac{-5 \pm \sqrt{5^2-4(1)(5)}}{2(1)} \\ \\ x=\frac{-5 \pm \sqrt{25-20}}{2} \\ \\ x=\frac{-5 \pm \sqrt{5}}{2} \\ \\ \\ Two \ solutions: \\ \\ \boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}$

<h2>Learn more:</h2>

Quadratic functions: brainly.com/question/12164750

#LearnWithBrainly

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2 years ago

determine if the sequence is geometric or arithmetic and find the ratio or difference. -1, 6, -36, 216

andrew-mc [135]

The sequence is an geometric progression;
Nth=a₁r^(n-1)
a₁ is the first term=-1
r=ratio=a₂/a₁=6/-1=-6

Nth=-1(-6^(n-1)

NTh=an

a₁=-1(-6⁰)=-1
a₂=-1(-6¹)=6
a₃=-1(-6²)=-36
a₄=-1(-6³)=216

therefore this serie is rising at an increasing fast speed, it is an geometric progression.

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