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d1i1m1o1n [39]
2 years ago
13

12.simplify the following expression 21q + 5/2(3/2) + 4q -5

Mathematics
1 answer:
nekit [7.7K]2 years ago
4 0

Answer:

i think the answer is 25q - 5 / 4

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Please help! Thanks in advance.
alukav5142 [94]
In this problem, we need to plug in the given x values for f(x)=0 and find a and b.

When we plug in 1, we get: 2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0

Simplify:
2 - 5 - 14 + a + b = 0
- 17 + a + b = 0
a + b = 17

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0
512 - 320 - 224 + 4a + b = 0
- 32 + 4a + b = 0
4a + b = 32

Now we have our second one. We can combine them:
a + b = 17 \\ 4a + b = 32

I use elimination method which is easier here.

Multiply the top equation by -1: - a - b = - 17 \\ 4a + b = 32

Add them up:
3a = 15

Simplify:
a = 5

Now we have a, we can plug in one of those equations to find b:
5 + b = 17
b = 17 - 5
b = 12

So, the answers are a=5 and b=12 .
6 0
3 years ago
Is a acute triangle regular?
mixas84 [53]

Answer:

An equilateral triangle may also be called a "regular" triangle. (A "regular" polygon has all equal sides and all equal angles.)An acute triangle has all angles measuring less than 90º. Note: It is possible for an acute triangle to also be scalene, isosceles, or equilateral.

Step-by-step explanation:

hope this helped and can u plz mark me brainlest

7 0
3 years ago
Read 2 more answers
Are 25 milligrams lighter or heavier than 25 centigrams
masya89 [10]

Answer:

<em>25 mg. is lighter than 25 cg.</em>

<em />

Step-by-step explanation:

<em>Well,</em>

<em />

<em>The prefix "milli" means thousandth and the prefix "centi" means hundredth.  So a milligram will be one-tenth of a centigram.</em>

<em />

<em>10 mg. = 1 cg.</em>

<em>25 mg. = 2.5 cg.</em>

<em />

<em>2.5 cg. < 25 cg.</em>

<em />

<em>25 mg. is lighter than 25 cg.</em>

8 0
3 years ago
Read 2 more answers
DUE TODAY!!! <br> PLEASE HELP ME OUT!!!
tatiyna

Answer:

D.

Step-by-step explanation: You can use desmos for any graphing problem. Its your best friend for graphing

8 0
3 years ago
Which of the graphs below represents the equation 8x − y = -4?
Akimi4 [234]

Answer:

8x-y+4=0

Step-by-step explanation:

because 8x-y+4=-4+4

8 0
3 years ago
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