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CaHeK987 [17]
3 years ago
13

Which equation goes with the t-chart below?

Mathematics
1 answer:
N76 [4]3 years ago
5 0

Answer:

y = 2 x^2 + 5

Step-by-step explanation:

y = 2x^2 + 5

y = 2(-2)^2 + 5

y= 2(4) + 5

y = 8 + 5

y = 13

you can try for yourself using the other values

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Extra points!!no links tho
Naddik [55]

Answer:

<h3>              a. the  vertex represents a minimum point</h3><h3>              b.  f(x) = (x + 5)² - 5</h3>

Step-by-step explanation:

a.

a = 1 > 0  ← that means the parabola opens up, so the vertex is minimum of the function

b.

  f(x)=x^2+10x+20\\\\f(x)=\underline{x^2+10x+25} - 25+20\\\\f(x)=(x+5)^2-5

5 0
3 years ago
Rob and Alan went to taco express. Rob bought seven tacos and to fajitas and paid $12.65. Adam bought 4 tacos and one fajita and
Nataliya [291]
I did the math and each taco is $1.25 each.
8 0
3 years ago
A 20,000 gallon tank is 3/4full. If the drain valve on this tank allows 2.5 gallons of water to be drained per minute, about how
patriot [66]

Answer:

100 Hours

Step-by-step explanation:

since the tank has 15,000 gallons of water. it drains at a rate of 150 gallons per hour so 15,000 divided by 150 equals 100

6 0
3 years ago
Maya has 3 times as many dimes as nickels. She has 4 more quarters than nickels. if she has a total of $9.40, how many of each t
puteri [66]

Answer:  nickels = 14, dimes = 42, quarters = 18

<u>Step-by-step explanation:</u>

Let n represent nickels <em>which has a value of $0.05 </em>

Let d represent dimes <em>which has a value of $0.10</em>

Let q represent quarters <em>which has a value of $0.25</em>

It is given that:

                       n = n

                      d = 3n

                      q = n + 4

and their total value is $9.40    ⇒     n + d + q = $9.40

Use substitution to find the quantity of nickels:

.05(n) + .10(3n) + .25(n + 4) = 9.40

 5n    +  10(3n) +   25(n+4)   = 940           <em>multiplied by 100 </em>

 5n    +   30n   +  25n + 100 = 940          <em>distributed</em>

                            60n + 100 = 940          <em>added like terms</em>

                            60n           = 840          <em>subtracted 100</em>

                                 n           = 14            <em>divided by 60</em>

n = 14

                d = 3n

                   = 3(14)

                   = 42

                                       q = n + 4

                                          = (14) + 4

                                           = 18

4 0
3 years ago
Find the solutions for a triangle with a = 16, c =12, and B = 63º.
maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}

b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}

b \approx 15.022

Angle A (Law of Cosine)

\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}

\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}

\cos A = 0.315

A= \cos^{-1} 0.315

A \approx 71.639^{\circ}

Angle C (Sum of internal angles in triangles)

C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}

C = 45.361^{\circ}

Hence, the right answer is B.

6 0
3 years ago
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