All categories

2 years ago

Use a negative factor to factor the expression -5g + 15h - 25

Mathematics

1 answer:

Firdavs [7]2 years ago

3 0

Answer:

Step-by-step explanation:

-5g = -5 × g

15h = 5 × 3h

-25 = -5 × 5

-5g + 15h - 25 = -5 × g - (-5 × 3h) + (-5 × 5) = -5 × (g - h + 5)

You might be interested in

For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7

Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k$

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean $210x^6y^4$

We can deduce that this term will be located somewhere in the middle. So I will calculate $k= 5; k=6 \text{ and } k =7$ .

For $k=5$

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just $x^{n-k} y^k$

For $k=6$

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0

2 years ago

An assortment of chocolates contains exactly 6 nut clusters, 3 truffles, 5 caramels, and 10 fruit creams. Complete the statement

Luba_88 [7]

Answer:

I think its 24

Step-by-step explanation:

The question says the ratio of truffles to the total chocolates in the assortment is. Total means whole number or amount so I added it up and got 24.

4 0

2 years ago

Which fraction is equivalent to fraction with numerator 6 and denominator negative 8? fraction with numerator negative 8 and den

Rzqust [24]

Numerator is the the number above the line on a fraction, while the denominator is the number underneath the line.

$\frac{6}{-8}$ is similar to $\frac{-6}{8}$

Fraction with numerator -6 and denominator 8

8 0

2 years ago

Read 2 more answers

At the end of the business day, Sam attempts to balance the register. According to Sam's count, the register has $1,453.27. Howe

Alex787 [66]

All u need to do is subtract the bigger number from the smaller one

3 0

2 years ago

Read 2 more answers

The most economical proportion for a right circular cone is to have its height three times long as its base diameter. What later

defon

9514 1404 393

Answer:

∛(2500π)√37 m² ≈ 120.911 m²

Step-by-step explanation:

If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...

V = 1/3πr²h

V = 1/3πr²(6r) = 2πr³

For a volume of 100 m³, the radius is ...

100 m³ = 2πr³

r = ∛(50/π) m

The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:

s² = r² +(6r)² = 37r²

s = r√37

Then the lateral area is ...

LA = πrs

LA = π(∛(50/π) m)(∛(50/π) m)√37

LA = ∛(2500π)√37 m² ≈ 120.911 m²

5 0

2 years ago