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2 years ago

Which of the following inequalities is represented by the number line

Mathematics

1 answer:

choli [55]2 years ago

4 0

Answer:x > -3

Step-by-step explanation:

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Which of the following is equivalent to

vova2212 [387]

Answer:D

Step-by-step explanation:

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2 years ago

Determine the exponential function that satisfies the given conditions.

zavuch27 [327]

Answer: 0.8(.50)^t/5

Step-by-step explanation:

P(t)= p^0(1+-r)^t

0.8= initial mass

.50= 100/2-> halving

t/5= how many times for every 5 days

4 0

2 years ago

Detmermine the best method to solve the following equation, then solve the equation. (3x-5)^2=-125

liq [111]

For the given equation;

$(3x-5)^2=-125$

We shall begin by expanding the parenthesis on the left side, after which we would combine all terms on and move all of them to the left side, which shall yield a quadratic equation. Then we shall solve.

Let us begin by expanding the parenthesis;

$\begin{gathered} (3x-5)^2\Rightarrow(3x-5)(3x-5) \\ (3x-5)(3x-5)=9x^2-15x-15x+25 \\ (3x-5)^2=9x^2-30x+25 \end{gathered}$

Now that we have expanded the left side of the equation, we would have;

$\begin{gathered} 9x^2-30x+25=-125 \\ \text{Add 125 to both sides and we'll have;} \\ 9x^2-30x+25+125=-125+125 \\ 9x^2-30x+150=0 \end{gathered}$

We shall now solve the resulting quadratic equation using the quadratic formula as follows;

$\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where;} \\ a=9,b=-30,c=150 \\ x=\frac{-(-30)\pm\sqrt[]{(-30)^2-4(9)(150)}}{2(9)} \\ x=\frac{30\pm\sqrt[]{900-5400}}{18} \\ x=\frac{30\pm\sqrt[]{-4500}}{18} \\ x=\frac{30\pm\sqrt[]{-900\times5}}{18} \\ x=\frac{30\pm\sqrt[]{-900}\times\sqrt[]{5}}{18} \\ x=\frac{30\pm30i\sqrt[]{5}}{18} \\ \text{Therefore;} \\ x=\frac{30+30i\sqrt[]{5}}{18},x=\frac{30-30i\sqrt[]{5}}{18} \\ \text{Divide all through by 6, and we'll have;} \\ x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3} \end{gathered}$

ANSWER:

$x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3}$

3 0

5 months ago

What shape is a rhombus related to and why

Ksju [112]

A rhombus is related to a “Parallelogram”

Why? - because it fulfills the requirements of a parallelogram: a quadrilateral with two pairs of parallel sides. It goes above and beyond that to also have four equal-length sides, but it is still a type of parallelogram.

hope this helped <3

8 0

2 years ago

Danielle earns a 7.75% commission on everything she sells at the electronics store where she works. She also earns a base salary

kaheart [24]

Answer:

ok so this can be represented as

7.75x+675=1062.50

-675

7.75x=387.5

divide by 7.75

x=50

Hope This Helps!!!

3 0

1 year ago

Which of the following inequalities is represented by the number line​

Which of the following inequalities is represented by the number line