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kvasek [131]
3 years ago
5

What's the answer ?And please show your work-5m+17=52

Mathematics
1 answer:
Doss [256]3 years ago
4 0
<span>-5m+17=52
Subtract 17 from both sides
-5m= 35
Divide -5 on both sides
Final Answer: m= -7</span>
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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)
Lisa [10]

Answer:

f(x) = 4x^2 - 3x + 6

Step-by-step explanation:

Quadratic function is given as f(x) = ax^2 + bx + c

Let's find a, b and c:

Substituting (0, 6):

6 = a(0)^2 + b(0) + c

6 = 0 + 0 + c

c = 6

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

f(x) = ax^2 + bx + c

16 = a(2)^2 + b(2) + 6

16 = 4a + 2b + 6

16 - 6 = 4a + 2b + 6 - 6

10 = 4a + 2b

10 = 2(2a + b)

\frac{10}{2} = \frac{2(2a + b)}{2}

5 = 2a + b

2a + b = 5 => (Equation 1)

Substituting (3, 33), and c = 6

f(x) = ax^2 + bx + x

33 = a(3)^2 + b(3) + 6

33 = 9a + 3b + 6

33 - 6 = 9a + 3b + 6 - 6

27 = 9a + 3b

27 = 3(3a + b)

\frac{27}{3} = \frac{3(3a + b)}{3}

9 = 3a + b

3a + b = 9 => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

3a + b = 9

2a + b = 5

a = 4

Replace a with 4 in equation 2.

2a + b = 5

2(4) + b = 5

8 + b = 5

8 + b - 8 = 5 - 8

b = -3

The quadratic function that represents the given 3 points would be as follows:

f(x) = ax^2 + bx + c

f(x) = (4)x^2 + (-3)x + 6

f(x) = 4x^2 - 3x + 6

6 0
3 years ago
I need help with this please the answers I can choose from are
STatiana [176]

Sum of interior angles of a △ = 180°

∴ ∠T + ∠V + ∠U = 180°

⇒ 37° + 63° + X° = 180°

⇒ X° + 100 = 180°

⇒ X° = 180° - 100°

⇒ X° = 80° (D).

5 0
3 years ago
Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's bagg
aniked [119]
<span>Carl has 3 bags in total. One backpack weighs 4 kg and the rest two checking bags have the equal weight. The total weight of 3 bags is given to be 35 kg.

Let the weight of each checking bag is w kg. So we can write:

2 x (Weight of a checking bag) + Weight of Backpack = 35

Using the values, we get:

2w+ 4 = 35

Using this equation we can find the weight of each checking bag, as shown below.

2w = 31

w = 31/2

w = 15.5

Thus, the weight of each checking bag is 15.5 kg
</span>
5 0
3 years ago
Read 2 more answers
Jerry earns a base salary of 350 per week plus an 8% commission on all sales at his job. Which inequality shows the minimum amou
inysia [295]

Answer:

D

Step-by-step explanation:

8% in decimal form is written out as 0.08, so right away the answer is either C or D.

Then if you have "s" = 1875, you would get:

350 + (0.08 × 1875) = 500

That would mean any number greater than 1875 will give you a total more than 500.

Therefore the answer is D.

8 0
2 years ago
What is the length of the diagonal, ddd, of the rectangular prism shown below?
wel

Answer:

7

Step-by-step explanation:

Its 7 because khan academy and i know it

3 0
3 years ago
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