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3 years ago

−7x − 2y = −13 x − 2y = 11 use the substitution method to find x and y

Mathematics

1 answer:

JulsSmile [24]3 years ago

6 0

Answer:

x=3

y=−4

Step-by-step explanation:

Add 2y to both sides of the equation.

x=11+2y

−7x−2y=−13

Replace all occurrences of x with 11+2y in each equation.

−77−16y=−13

x=11+2y

and then you just connect the dots

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Which number line represents the solution set for the inequality <br> 3(8-4x) < 6(x-5) ?

viktelen [127]

Answer:

Second number line(from top to bottom).

Step-by-step explanation:

We are given the following inequality:

$3(8 - 4x) < 6(x - 5)$

It is solved similarly to an equality, so:

$24 - 12x < 6x - 30$

$-18x < -54$

Multiplying by -1, the signal changes from < to >. So

$18x > 54$

$x > \frac{54}{18}$

$x > 3$

Thus the correct answer is given by the second number line.

7 0

3 years ago

Help solve for x you ant gotta solve for the other one

vladimir1956 [14]

Answer:

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6 0

3 years ago

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Explain why x and 4x - 10 are factors of the expression x(4x - 10)3 rather than terms of the expression. What are the terms of t

andriy [413]

Solution :- Let p(x) be the polynomial such that

$p(x) = x(4x-10)^3\\\text{and let f(x) be another polynomial such that }\\f(x)=4x-10\\\text{To find , Put } f(x)=0\\\Rightarrow4x-10=0\\\Rightarrow4x=10\\\Rightarrow x=5/2\\\text{Now substituting value of x in p(x),we get}\\p(x)=\frac{5}{2} .(4(5/2)-10)^3\\\Rightarrow\frac{5}{2}.(10-10)^3=0\\\text{Similarly let g(x)=x ,we get x=0 by putting g(x)=0}\\\text{now f(x)=0 for x=0}\\\text{So by Factor theorem f(x) and g(x) are the factors of polynomial p(x)}\\$

$\text{Now} p(x) = x(4x-10)^3\\=64x^4-480x^3+1200x^2-1000x\\\text{so the terms of terms of } p(x) \text{are} 64x^4,-480x^3,1200x^2,-1000x\\\text{here, by using Factor theorem x is a factor of all the terms but 4x-10 is not. }$

$\text{And the terms of the factor 4x-10 are 4x and -10}$

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3 years ago

Find the circumference of a circle if the radius is 15 ft. Use 3.14 for pi.

Korvikt [17]

Circumference = 2 x radius x Pi

Circumference = 2 x 15 x 3.14

Circumference = 30 x 3.14

Circumference = 94.2 feet

8 0

3 years ago

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I need help finding m

Dafna1 [17]

Answer:

<A = 27 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

Tan A = opp side / adj side

Tan A = 2/4

Tan A = 1/2

Taking the inverse tan of each side

tan^-1 ( tan A) = tan ^-1 (1/2)

A =26.56505118

Rounding to the nearest degree

A = 27

5 0

2 years ago