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2 years ago

Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)

Mathematics

2 answers:

nikitadnepr [17]2 years ago

7 0

8x+4y+(-8z^2)+[3z+(-5z)] the answer is D

Softa [21]2 years ago

3 0

we are given

$(8x+3z-8z^2)+(4y-5z)$

we can group x-terms with x and y-terms with y and z terms with z

so, we get

$=8x+3z-8z^2+4y-5z$

we can make groups

$=8x+4y+3z-8z^2-5z$

$=8x+4y+3z-5z-8z^2$

we can also write it as

$=8x+4y+(-8z^2)+[3z+(-5z)]$

so, option-D.........Answer

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What’s the angle it’s looking for ?

Law Incorporation [45]

Given:

m(ar KN) = 2x + 151

m(ar LN) = 61°

m∠NMK = 2x + 45

To find:

m∠NMK

Solution:

By property of circle:

If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

$$\Rightarrow m\angle NMK=\frac{1}{2} (m \ ar(KN) - m\ arLN))$

$$\Rightarrow 2x+45=\frac{1}{2} (2x + 151-61)$

$$\Rightarrow 2x+45=\frac{1}{2} (2x + 90)$

Multiply by 2 on both sides, we get

$$\Rightarrow 2\times (2x+45)=2\times \frac{1}{2} (2x + 90)$

$$\Rightarrow 4x+90=2x + 90$

Subtract 90 from both sides.

$$\Rightarrow 4x+90-90=2x + 90-90$

$$\Rightarrow 4x=2x$

Subtract 2x from both sides.

$$\Rightarrow 4x-2x=2x-2x$

$$\Rightarrow 2x=0$

$$\Rightarrow x=0$

Substitute x= 0 in m∠NMK.

m∠NMK = 2x + 45

= 2(0) + 45

= 45

Therefore m∠NMK = 45.

8 0

2 years ago

Math your class is holding elections to choose a leadership committee of 4 students. if there are 30 students in the class, how

inessss [21]

That would be 30C4 - combinations of 4 from 30.

= 30*29*28*27
---------------- = 27,405 Answer
4 * 3 * 2 * 1

7 0

2 years ago

ris is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 25 represents the number of flowers

olasank [31]

Answer:

A. f(s) = 2s + 34

B. Mole

C. f(s) = 2s + 54

Step-by-step explanation:

A. Its a prediction the 34 can be any number reasonably close to 25

B. Amount of substance - mole (mole)

c. f(s) = 2s + 54

3 0

2 years ago

Katy had two choices of routes to get her to work. She wanted to choose the route that would get her to work fastest, on average

zmey [24]

Answer:

D. There is not enough evidence at the 5% significance level to indicate that one route gets Katy to work faster, on average, since 0 falls within the bounds of the confidence interval.

Step-by-step explanation:

At 5% confidence level, Katy found difference in mean commuting times (Route 1-Route 2) in minutes as (-1,9).

Since no difference in means (0 min) falls within the confidence level (-1,9), we can not reject the hypothesis that there is no difference in mean commuting times when using Route1 or Route2.

A higher significance level(10% etc) may lead a shorter confidence interval leaving 0 outside and may reach a conclusion that Route1 takes longer than Route2

4 0

2 years ago

A certain shade of pink is created by by adding 3 cups of red paint to 7 cups of white paint. How many cups of red paint should

Nonamiya [84]

Answer:

→[ Certain shade=red paint+ white paint]

→3 cups of red paint=7 cups of white paint

Dividing both side by 7,we get

→ 1 cup of white paint=3/7 cups of white paint

So, 3/7 of a cup should be added to 1 cup of white paint to make certain kind of shape.

Cups of white paint: Cups of red paint= 1. : $\frac{7}{3}=\frac{3}{7}$