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3 years ago

Which of these ordered pairs is the best estimate of the solution of the system y = 3x + 2 and y = -1/4 x + 1?

1 answer:

6 0

If the solution exists, y=y....

3x+2=-x/4+1 make everything have a common denominator of 4...

(12x+8)/4=(-x+4)/4 now multiply both sides by 4

12x+8=4-x add x to both sides

13x+8=4 subtract 8 from both sides

13x=-4 divide both sides by 13

x=-4/13

x≈-0.31 and the only pair in your choices having an x value close to that is:

(-0.3, 1.1)

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The diameter of a circle is 5 ft. Find the circumference TO THE NEAREST TENTH

Citrus2011 [14]

Answer:

15.7

Step-by-step explanation:

3.14(5)

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2 years ago

Explain why the absolute value of a number is never a negative number ?

omeli [17]

The absolute value of a number is never a negative number because absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative.

4 0

3 years ago

Read 2 more answers

[HELP] For j(x) = <img src="https://tex.z-dn.net/?f=5%5Ex%5E-%5E3" id="TexFormula1" title="5^x^-^3" alt="5^x^-^3" align="absmidd

Alina [70]

The difference quotient of the function that has been presented to us will turn out to be 5.

<h3>How can I calculate the quotient of differences?</h3>

In this step, we wish to determine the difference quotient for the function that was supplied.

To begin, keep in mind that the difference quotient may be calculated by:

Lim h->0 $\frac{f(x+h)-f(x)}{h}$

Now, for the purpose of the function, we need this:

Then we will have:

$\begin{aligned}&\lim _{h \rightarrow 0} \frac{j(x+h)-j(x)}{h} \\&\lim _{h \rightarrow 0} \frac{5 *(x+h)-3-5 * x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 x+5 h-3-5 x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 h}{h}=5\end{aligned}$

j(x) = 5x - 3

Then the following will be true:

Therefore, 5 is the value of the difference quotient for j(x) is %

Read the following if you are interested in finding out more about difference quotients:

brainly.com/question/15166834

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6 0

9 months ago

Y - 8 = -10 How do I verify the solution ?

prisoha [69]

Answer:

y = -2

Step-by-step explanation:

SOLUTION :-

Solve the equation.

Add 8 to both sides in order to isolate the equation.

$=> y - 8 + 8 = -10 + 8$

$=> y = -2$

∴ y = -2

VERIFICATION :-

To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.

L.H.S :-

-2 - 8 = -10

R.H.S. :-

-10 (already given)

⇒L.H.S. = R.H.S. (verified)

4 0

2 years ago

Explain how to determine the x- and y- intercepts of a line from a given equation in y = mx + b form.

NISA [10]

Answer:

Step-by-step explanation:

x-intercept: Set y = 0 and solve for x:

0 = mx + b, or mx = -b, or x = -b/m. x-intercept is then (-b/m, 0)

y-intercept: Set x = 0 and solve for y: y = m(0) + b, or y = b. y-intercept is then

(0, b).

3 0

3 years ago