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Sonbull [250]
2 years ago
13

9. Travelling at 80 km/h, how far will a car go in 45 mins?

Mathematics
1 answer:
AysviL [449]2 years ago
3 0

Answer:

60

Step-by-step explanation:

distance=80*45/60

=80*0.75

=60km

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The vertex of this parabola is at (3,5). When the Y value is 6X value is negative one what is the coefficient of the squared ter
iren2701 [21]

We know that equation of a parabola is given by :-

y = a(x-h)² + k

Where (h,k) is the vertex of parabola and (x,y) is any point on its curve.

Given that vertex of parabola is (3,5) and one point (x,y) is (6,-1).

We can plug the given information in the equation of parabola and solve it for value of 'a' :-

-1 = a(6 - 3)² + 5

-1 = a(3)² + 5

-1 = 9a + 5

9a = -1 -5 = -6

a = \frac{-6}{9} = \frac{-2}{3}

a = \frac{-2}{3} is the final answer.

7 0
2 years ago
What is the value of the rationale expression below when x is equal to 4? X+20/x+4
sveta [45]

Answer:

3

Step-by-step explanation:

to evaluate substitute x = 4 into the rational expression, that is

\frac{4+20}{4+4} = \frac{24}{8} = 3



6 0
2 years ago
What are the first nine multiples of 5, and 3?
andrezito [222]

First 9 multiples of 5:

\begin{gathered} 5\cdot1=5 \\ 5\cdot2=10 \\ 5\cdot3=15 \\ 5\cdot4=20 \\ 5\cdot5=25 \\ 5\cdot6=30 \\ 5\cdot7=35 \\ 5\cdot8=40 \\ 5\cdot9=45 \end{gathered}

First 9 multiples of 3:

\begin{gathered} 3\cdot1=3 \\ 3\cdot2=6 \\ 3\cdot3=9 \\ 3\cdot4=12 \\ 3\cdot5=15 \\ 3\cdot6=18 \\ 3\cdot7=21 \\ 3\cdot8=24 \\ 3\cdot9=27 \end{gathered}

3 0
1 year ago
Simplify the answer as much as possible​
RSB [31]

Answer:

f(-5)=240

g(-7)=-33

Step-by-step explanation:

1) f(x)=3x^2 - 3x

f(-5)= 3×(-5)^2 - 3×(-5) = -15^2 + 15= 225 + 15=240

2) g(x)=5x + 2

g(-7)= 5×(-7) + 2= -35+2=-33

6 0
2 years ago
Given f(x)= 2x²+4x-6 and g(x)=2x-2, find each function
valkas [14]
F(x)= 2x²+4x-6 and g(x)=2x-2, find each function
1. (f/g) (x) = f(x)÷g(x) = (2x²+4x-6)÷(2x-2)
First factor both top and bottom:
(2x-2)(x+3)÷(2x-2) = x+3

2. f(a + 2) = plug (a+2) in anywhere there is an x in f(x)=2x²+4x-6 -->
2(a+2)^2 +4(a+2)-6 = 2(a^2+4a+4)+4a+8-6, now distribute:
2a^2+8a+8+4a+2, combine like terms
2a^2+12a+10

3. g(a/2) = plug (a/2) in anywhere there's an x in g(x)=2x-2:
2(a/2)-2 = a-2
5 0
3 years ago
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