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laila [671]
2 years ago
13

Find equation where line passes through (7,8) and perpendicular to line y=8

Mathematics
1 answer:
forsale [732]2 years ago
5 0
Since in y=8, the slope is 0 (because there is no x) and b is 8 in y=mx+b, we know that the perpendicular line is x=(something) because the perpendicular lines of y=<number> are x=<number> due to that y=<number> equations are strictly horizontal while x=<number> equations are strictly vertical. Since we know that x=<number> has to pass through (7, 8), x =7
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The graph of F(x) can be stretched vertically and flipped over the x axis to produce the graph of G(x) if F(x)=x^2 which of the
ladessa [460]

Answer:

g(x) = -5x²

(option B)

Step-by-step explanation:

we know that our original graph, f(x) = x² is a parabola.

So, we can consider what happens when we adjust the function/equation of a parabola.

when we "vertically stretch" a parabola, we are increasing the value of x.

 think of it this way: the steepness of a slope is rise over run. If we rise ten, and run one, that's going be a lot more steep than if we rise 1, run 1.

Let's say our x = 5

if f(x)=x²

f(5) = 25

> y value / steepness is 25

f(x) = 3x²

f(5) = 75

 > y value / steepness is 75

So, we are looking for an equation with an increase in x present.

When a parabola has been flipped over the x-axis, we know that the original equation now includes a negative

suppose that x = 1

if y = x² ; y = 1² = 1

if y = -(x²) ; y = -(1²) ; y = -1

So, when we set x to be negative, we make our y-values end up as negative also (which makes the graph look as if it has been flipped upside-down)

This means that we are looking for a function with a negative x value.

So, we are looking for a negative x-value that is multiplied by a number >1

The graph that fits our requirements is g(x) = -5x²

hope this helps!!

6 0
1 year ago
Sally is planning the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather
Luba_88 [7]

Answer:

0.18!

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is not allowed?
attashe74 [19]
Think of it this way:
_ _ _ (3 digit number)

for the first blank you could have 7 possibilities
for the second blank you could have 6 possibilities
for the third blank you could have 5 possibilities
because each time you fill in a blank one number is removed from the list of possibilities

7×6×5=210. there are 210 possibilities
7 0
3 years ago
Help me PLEASE This is confusing and im getting frustrated. Ill brainliest the best answer with a good explanation so I can have
Marysya12 [62]

Answer:

Nina would have total expenses and sales $156 after selling 4 necklaces.

Step-by-step explanation:

Let <em>x</em> represent the amount of necklaces made and sold.

The initial cost was $140 and it costs $4 to produce one necklace. Hence, the total cost after producing <em>x</em> necklaces can be represented as:

\displaystyle 140 + 4x

Each necklace sells for $39. Hence, the total profit after selling <em>x</em> necklaces can be represented as:

\displaystyle 39x

To break even, the total cost and profit must be equivalent. Hence:

\displaystyle 140 + 4x = 39x

Solve for <em>x: </em>

<em />\displaystyle \begin{aligned} 140 + 4x & = 39x \\ \\ 140 & = 35x \\ \\ x & = 4 \end{aligned}<em />

<em />

Hence, the break even, Nina would need to sell four necklaces.

And the total expenses/profit would be:

\displaystyle \$39(4) = \$156

In conclusion, Nina would have total expenses and sales $156 after selling 4 necklaces.

5 0
2 years ago
Read 2 more answers
A car can travel 38 miles on each gallon of gasoline at that rate how many gallons of gasoline take to travel 190
Lostsunrise [7]
The answer is 5 because if you divide 190 by 38, you get 5.

4 0
3 years ago
Read 2 more answers
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