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enot [183]
3 years ago
6

Complete the equivalent equation for -7x-60 = x2+10

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0

Answer:

= x² + 7x + 70

Step-by-step explanation:

-7x - 60 = x² + 10

= -x² - 7x - 60 - 10

= -x² - 7x - 70

= x² + 7x + 70

You might be interested in
Write a polynomial f(x) that satisfies the given conditions.
patriot [66]

Answer:

f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1

Step-by-step explanation:

Recall, if we have a polynomial of the form (x-a)^k \cdot (x-b)^m, then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form (x+5)^10(x-2)^3 -5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial,  just add the multiplicity of both zeros (13 in our example).

In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form

f(x)=(x-a)(x-b)^2).

In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that

f(0) = -1 = (0-a)(0-b)^2 = -a\codt b^2.

Which implies that 1 = a\cdot b^2. Since the square of any number is a positive number, it must happen that a>0. So, we have that

b= \pm \sqrt[]{\frac{1}{a}}.

We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be

f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1

which we can easily check that f(0)=-1.

6 0
4 years ago
a right triangle has side lengths 8, 15, and 17 as shown below. Use these lengths to find cosY, sinY, and tanY​
Anit [1.1K]
Cos Y = 8/17
sin Y = 15/17
tan Y = 15/8
3 0
3 years ago
When all three points are connected, triangle PQR will be a right triangle. At which coordinates must R be located?
Lorico [155]

b) u gotta each R point w p & q and see which one would give u a right triangle, which is b

8 0
3 years ago
Can anyone help with these. I just started this math class and I have not had a class in over 10 years. I did good on some of th
Elena-2011 [213]

Answer:

4. 4 tablets

5. no, 5 tablets

6. 19320 mg, 19.32 g

Step-by-step explanation:

4. 500 ÷ 125 = 4 tablets

5. a) no  

   b) 150 ÷ 30 = 5

        you should be given 5 tablets

6. There are approximately 2.205 lbs in one kg.

Therefore, 142 lb = 142 ÷ 2.205 = 64.4 kg

300mg/kg/day

Therefore, number of mg per day = 300 x 64.4 = 19320 mg

b) As 1000mg = g

19320 ÷ 1000 = 19.32 g (nearest hundredth)

4 0
3 years ago
Need the answer<br> Find (3x+7)2 .
Alekssandra [29.7K]

Answer:

<u>9x² + 42x + 49</u>

Step-by-step explanation:

<u>Identity</u>

  • (x + a)² = x² + 2ax + a²

In this case, x = 3x and a = 7, so <u>substitute</u> the values.

  • (3x + 7)²
  • (3x)² + 2(3x)(7) + (7)²
  • <u>9x² + 42x + 49</u>
8 0
3 years ago
Read 2 more answers
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