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ziro4ka [17]
3 years ago
11

Find the x- and y-intercepts of the graph of 8x + y = 31. State your answers as

Mathematics
1 answer:
zubka84 [21]3 years ago
3 0

Answer:

Step-by-step explanation:

The x-intercept is the value of x when y = 0.

8x + 0 = 31

x-intercept = 31/8

The y-intercept is the value of y when x = 0.

8·0 + y = 31

y-intercept = 31

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Helloppppppppp pleaseeeeee !!!!!?!!????????
Georgia [21]

Answer:

20°

Step-by-step explanation:

C70° vertically opposite... the alternate then vertically opposite again then 90° - 70° = 20°

6 0
3 years ago
Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...
kari74 [83]
10, 14, 18 ....

notice, we get the next term by simply adding 4 to the current term, thus "4" is the "common difference, and we know that 10 is the first term.

\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=10\\
d=4\\
n=17
\end{cases}
\\\\\\
a_{17}=10+(17-1)(4)\implies a_{17}=10+(16)(4)
\\\\\\
a_{17}=10+64\implies a_{17}=74\\\\
-------------------------------

\bf \textit{ sum of a finite arithmetic sequence}
\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
a_1=10\\
a_{17}=74\\
n=17
\end{cases}
\\\\\\
S_{17}=\cfrac{17(10+74)}{2}\implies S_{17}=\cfrac{17(84)}{2}\implies S_{17}=714
6 0
3 years ago
Read 2 more answers
Evaluate the expression using a calculator:
tester [92]

The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.

<h3>What are the exponent and power rules?</h3>

The important exponent and power rules are:

  • a⁻ⁿ = 1/aⁿ; negative exponent
  • (ab)ⁿ = aⁿ × bⁿ; power of a product rule
  • aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
  • aⁿ/aˣ = aⁿ⁻ˣ; division rule
  • a^{\frac{x}{y} } = \sqrt[y]{a^x}; fractional exponent

<h3>Calculation:</h3>

The given expression is 126^{-3/4}

Using calculator: 126^{-3/4} = 0.0265

Applying the exponent rule for evaluating the given expression:

126^{-3/4}

Applying the negative power rule;

I.e., a⁻ⁿ = 1/aⁿ

⇒ 126^{-3/4}=\frac{1}{126^{3/4}}

Applying fractional exponent rule;

I.e., a^{\frac{x}{y} } = \sqrt[y]{a^x}

⇒ \frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }

⇒ 1/\sqrt[4]{2000376}

⇒ 1/37.6077

⇒ 0.0265

Therefore, the value of the given expression is 0.0265.

Learn more about exponent rules here:

brainly.com/question/11975096

#SPJ1

4 0
1 year ago
√x&lt;4 A.20 B.12 C.2 D.-1 E.5. F. No solution
evablogger [386]
We know that for √x to be meaningful, we must have x ≥ 0.

If we square both sides of the inequality, we have
  x < 4²
  x < 16

Thus the whole solution is
  0 ≤ x < 16

The following choices are valid solutions to the inequality:
  B. 12
  C. 2
  E. 5
5 0
3 years ago
Need help plzzz with how to add picture for this
Tresset [83]

in order to add picture you need to take a picture for it. you can you "snipping tool" if you have it. once you snip a picture you should save it to your desktop. if you want to post a picture on prainly there is a swirly picture on the bottom that looks kinda like a paper clip. press that it should say add attachments. then add your attachment

8 0
3 years ago
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