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skad [1K]
3 years ago
5

Factor each completely 3) rns_ 9m + 8m"-9m+8

Mathematics
1 answer:
Jet001 [13]3 years ago
7 0
İn the picture

Good luck :)

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HELPP!!!!!!!!!!!!!!!!
Anvisha [2.4K]

Answer:

Step-by-step explanation:

We'll take this step by step.  The equation is

8-3\sqrt[5]{x^3}=-7

Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time.  First thing is to subtract 8 from both sides:

-3\sqrt[5]{x^3}=-15

The goal is to isolate the term with the x in it, so that means that the -3 has to go.  Divide it away on both sides:

\sqrt[5]{x^3}=5

Let's rewrite that radical into exponential form:

x^{\frac{3}{5}}=5

If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:

(x^{\frac{3}{5}})^{\frac{5}{3}}=5^{\frac{5}{3}}

On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely.  On the right, let's rewrite that back in radical form to solve it easier:

x=\sqrt[3]{5^5}

Let's group that radicad into groups of 3's now to make the simplifying easier:

x=\sqrt[3]{5^3*5^2} because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:

x=5\sqrt[3]{5^2} which is the same as:

x=5\sqrt[3]{25}

8 0
3 years ago
You purchase a car using a $20,000 loan with a 5% simple interest rate.
hammer [34]
Simple interest = Cost Price + (Interest Percentage of Cost Price × number of years or months we are paying off)

a) SI = £20 000 + (5% of £20 000 × 4)
SI = £20 000 + (£1000 × 4)
SI = £20 000 + £4000 = £24 000

b) SI = £20 000 + (5% of £20 000 × 3)
SI = £20 000 + (£1000 × 3)
SI = £20 000 + £3000 = £23 000

£24 000 - £23 000 = £1000 that you saved!
3 0
3 years ago
What is the solution, if any, to the inequality |3x| ≥0?
Yanka [14]

Answer:

the answer is either c or b

4 0
3 years ago
Read 2 more answers
Find the coordinates of the intersection of the medians of △ ????BC given ????(2, 4), ????(−4, 0), and ????(3, −1).
Damm [24]

Answer:

The coordinates of the intersection of the medians of △ABC is (1/3, 1).

Step-by-step explanation:

Consider the vertices of △ABC are A(2, 4), B(−4, 0), and C(3, −1).

Intersection of the medians of a triangle is known as centroid.

Formula for centroid of a triangle is

Centroid=(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3})

Using the above formula the centroid of △ABC is

Centroid=(\dfrac{2-4+3}{3},\dfrac{4+0-1}{3})

Centroid=(\dfrac{1}{3},\dfrac{3}{3})

Centroid=(\dfrac{1}{3},1)

Therefore the coordinates of the intersection of the medians of △ABC is (1/3, 1).

4 0
3 years ago
triangle abc is shown in the diagram. the lengths of the sides are in terms of the variable n, where n>4. Complete the inequa
BaLLatris [955]
If n>4, then n+3<2n<3n-2 (n+3<2n is true because this unequality is equivalent to 3<n and 2n<3n-2 is also true because this unequality is equivalent to 2<n). Hence, the side AC is the smallest one and the side AB is the biggest one.
The largest side is opposite the largest angle, the medium side is opposite the medium angle and the smallest side is opposite the smallest angle.

Then, m∠B<m∠A<m∠C.
Answer: m∠B<m∠A<m∠C.

4 0
3 years ago
Read 2 more answers
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