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3 years ago

8x-5y= 14 – 5х+бу = -3

Mathematics

1 answer:

podryga [215]3 years ago

4 0

Answer:

y= 34/23

x= 123/46

Step-by-step explanation:

Solve for x

8x-5y= 14

x= 14/8 +5/8y

Sub x into second equation

– 5х+бу = -3

-5(14/8 +5/8y) + 6y= -3

-29/4 +23/8y = -3

y= 34/23

Sub y into any equation and solve for x

8x=483/23

x= 123/46

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If f(x) = 2x and g(x) = 5x + 2, what is (f + g)(x) when x = 3?

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2 years ago

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PLEASE HELPPP ! YOU GET BRAINLIEST IF CORRECT!!!

dedylja [7]

Answer:

A. 78,5 in

Step-by-step explanation:

Formula for circumference of the circle is π × diameter.

<h2>:- Question</h2>

Find the circumeference of the circle!

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2 years ago

Simplify the fraction and state the excluded value(s).

stira [4]

Answer:

$\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Terms/Coefficients

Factoring

<u>Calculus</u>

Discontinuities

Removable (Holes)
Jump (Piece-wise functions)
Infinite (Asymptotes)

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}$ <u />

<u />

<u>Step 2: Simplify</u>

[Frac - Numerator] Factor quadratic: $\displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}$
[Frac - Denominator] Factor GCF: $\displaystyle \frac{(7x - 10)(x + 2)}{5(x + 2)}$
[Frac] Divide/Simplify: $\displaystyle \frac{(7x - 10)}{5}, x \neq -2$

When we divide (x + 2), we would have a <em>removable</em> <em>discontinuity</em>. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.

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2 years ago

For each of the following claims, fill in the blanks in the provided hypotheses with inequalities. If your answer is "less than,

Leni [432]

Answer:

a) H0: μ=>3; Ha: μ<3

b) H0: μ<=110; Ha: μ>110

c) H0: μ=2.1; Ha: μ/=2.1

d) H0: μ=>70; Ha: μ<70

Step-by-step explanation:

The claims are usually expressed in the alternative hypothesis, for which we evaluate the evidence, usually sample statistics.

(a) Theory to be tested: The average number of children per household in the United States is less than 3.

In this case, the claim is that the mean is below 3 children per household. The null hypothesis will state then that the average number of children is 3 or more.

H0: μ=>3; Ha: μ<3

(b) Theory to be tested: The average weight of TAMU students is greater than 110 pounds.

The alternative hypothesis represents the claim that the mean is greater than 110. The null hypothesis, then will state that the mean is equal or less than 110.

H0: μ<=110; Ha: μ>110

In this case, the alternative hypothesis is represented by an unequal sign (the average diameter can be higher or lower). Then, the null hypothesis will state that the average diameter is equal to 2.1.

H0: μ=2.1; Ha: μ/=2.1

(d) Theory to be tested: In Belarus (former member of the Soviet Union, located near Chernobyl), the average life span is under 70 years.

The alternative hypothesis states that the average life span is under 70 years, so the null hypothesis will state that it is equal or more than 70 years.

H0: μ=>70; Ha: μ<70

3 0

2 years ago