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Colt1911 [192]
3 years ago
9

HELLO!! I REALLY NEED SOME HELP WOTH THIS QUESTION, ITS DUE SOON AND IF YOU CAN SHOW WORK THAT WOULD REALLY HELP THX!!

Mathematics
2 answers:
Marysya12 [62]3 years ago
3 0

Answer:

g(x)=(x+4)^2-5

Step-by-step explanation:

g(x) is shifted 5 down in the y axis, meaning you have to subtract 5 from the function, and is shifted 4 to the left in the x axis- meaning you have to add to the x's in the function.

Ivahew [28]3 years ago
3 0

Answer: y = (x + 4)^{2} -5

Step-by-step explanation:

Finding the equation of a translated graph is simple with quadratic equations.

It's easier to use vertex form for this.

Vertex form is shown as the following:

f (x) = a(x - h)^{2}  + k

The coordinates (h, k) are the vertex of the parabola. In this case, the new vertex is (-4, -5).

We can plug those in like this:

f (x) = a(x + 4)^{2}  -5

The "a" at the beginning of the equation is used to show how steep/flat the equation is. The only thing that was done to the graph in this case was translation, so this step is not necessary.

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If a sports car is traveling at 95 miles per hour, how long would it take the sports car to overtake a family car traveling at 3
levacccp [35]
Distance = speed * time
d = st

The sports car travels d distance for t time at speed, s, 95 mph until it overtakes the family
car.
The equation for the sports car is
d = 95t

The family car travels the same distance, d, but since it left 4.5 hours earlier  than the sports car, it travels for t + 4.5 time until it is overtaken. It travels at speed, 35 mph.
The equation for the family car is
d = 35(t + 4.5)

We solve the two equations as a system of equations.

d = 95t
d = 35(t + 4.5)

Since d = d, set the right sides of the equations above equal to each other.

95t = 35(t + 4.5)

95t = 35t + 157.5

60t = 157.5

t = 2.625

The answer is 2.625 hours, or 2 hours, 37 minutes, and 30 seconds.

Check:
In 2.625 hours, the sports car travels: 95 mph * 2.625 h = 249.375 miles
The family car traveled 2.625 hours plus the extra 4.5 hours, or 7.125 hours.
In 7.125 hours, the family car travels 35 mph * 7.125 h = 249.375 miles.
The cars have traveled the same distance 2.625 hours after the sports car left, so our answer is correct.
3 0
3 years ago
The size of a television screen is measured by the length of thee diagonal of the screen. What size is a television screen that
Murljashka [212]

Answer:

approximately 6.708 feet

Step-by-step explanation:

We use the Pythagorean theorem to solve the problem, using 3 feet and 6 feet as the legs of a right angle triangle. The diagonal of the screen is therefore the "hypotenuse" of this right angle triangle, and can be determined via the formula:

diagonal = \sqrt{(3\,ft)^2+(6\,ft)^2} \\diagonal = \sqrt{9\,ft^2+36\,ft^2} \\diagonal = \sqrt{45} \,ft\\diagonal = 3\,\sqrt{5} \,ft

which is approximately 6.708 feet

6 0
3 years ago
Measure of angle A = 5 X, measure of angle B = 2X, measure of angle C = 110 degrees
Alex17521 [72]
5x+2x+110=180
7x=70
x=10
7 0
3 years ago
Read 2 more answers
Where does the normal line to the parabola y = x − x2 at the point (1, 0) intersect the parabola a second time?
Ksivusya [100]
Find the line that is normal to the parabola at the given point
remember that normal means perpendicular
perpendicular lines have slopes that multiply to -1
we can use point slope form to write the equation of the line since we are given the point (1,0)

we just need the slope

take derivitive
y'=1-2x
at x=1
y'=1-2(1)
y'=1-2
y'=-1

the slope is -1
the perpendicular of that slope is what number we can multiply to get -1
-1 times what=-1?
what=1
duh
so
point (1,0) and slope 1
y-0=1(x-1)
y=x-1 is da equation

solve for where y=x-1 and y=x-x² intersect

set equatl to each other since equal y
x-1=x-x²
x²-1=0
factor difference of 2 perfect squares
(x-1)(x+1)=0
set to zero

x-1=0
x=1
we got this point already

x+1=0
x=-1
sub back
y=-1-(-1)²
y=-1-(1)
y=-1-1
y=-2

it intersects at (-1,-2)
7 0
3 years ago
Oliver has music lessons in Monday Wednesday and Friday.Each lesson is 3/4 of an hour Oliver says he will have lessons for three
Hoochie [10]
Oliver is incorrect because if he were correct he would learn for 2 hours and 15 minutes because, 45 minutes * 3= 2:15 minutes.
4 0
3 years ago
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