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MaRussiya [10]
3 years ago
14

What is f(3) for the quadratic functionf(x)=2x2 + x – 12?F -3G 3H 6I. 9​

Mathematics
1 answer:
PolarNik [594]3 years ago
5 0

Answer:

f(3) = 9

Step-by-step explanation:

Wherever you see an x on the right, put a 3 in for that x

f(x) = 2x^2 + x - 12

f(3) = 2*(3)^2 + 3 - 12

f(3) = 2*9 + 3 - 12

f(3) = 18 + 3 - 12

f(3) = 9

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7/3x+1/3x=1+5/3x<br>plz help ​
liubo4ka [24]
(Multiply all by 3 )
7x+x=3+5x
8x=3+5x
3x=3
x=1
7 0
3 years ago
Jenna is drawing a sketch of her room. The room is 15 feet long by 12 feet wide. The
SOVA2 [1]

Answer:

4 inches

Step-by-step explanation:

Actual dimensions:

Length = 15 feet

Width = 12 feet

Scale dimensions:

Length = 5 inches

Width = x inches

Write a proportion:

\dfrac{\text{Actual length}}{\text{Scale length}}=\dfrac{\text{Actual width}}{\text{Scale width}}\\ \\ \\\dfrac{15\ feet}{5\ inches}=\dfrac{12\ feet}{x\ inches}\\ \\x=\dfrac{5\ inches\times 12\ feet}{15\ feet}=4\ inches

3 0
3 years ago
Carmen's city took a telephone poll about a plan to build a new hotel downtown. 6,000 people took the poll. 25% of them were in
Nimfa-mama [501]
People were in favor of the new hotel=25% of 6000 people.
25% of 6000 people=(25/100)*6000=(25*6000)/100=1500  pople.

1500 people were in favor of the new hotel. 
4 0
3 years ago
Find the angle that the line through the given pair of points makes with the positive direction of the x-axis
alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and  

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1

Also Slope of line when angle ' θ  ' is given as

Slope=\tan \theta

Substituting Slope = 1 we get

1=\tan \theta

\tan \theta=1\\\theta=\tan^{-1}(1)

We Know That for angle 45°,

tan 45 = 1

Therefore

\theta=45\°

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

5 0
3 years ago
1. A prospective buyer of a new car can choose between manual or automatic transmission and can also choose from
enot [183]

Answer:

Hlo miss how are you

follow

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8 0
3 years ago
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