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ruslelena [56]
3 years ago
12

Write the equation of the following graph in vertex form.

Mathematics
1 answer:
Marat540 [252]3 years ago
6 0

Answer:

Correct choice is 2. f(x)=0.4(x+2)(x-5)

Step-by-step explanation:

We have been given a graph of the quadratic function. Now we need to use that graph to find the equation of the graph in vertex form. By the way given choices written in intercept form so to be accurate we are going to find the equation in intercept form.

from graph we see that x-intercepts are at 5 and -2.

we know that if x=a is x-intercept then (x-a) must be factor.

So (x+2)(x-5) is the factor.

when leading coefficient is positive then graph opens upward.

so that means leading coefficient is 0.4

Hence correct choice is 2. f(x)=0.4(x+2)(x-5)

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Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Denver was $225. Now the cost is $30
liq [111]

Answer:

33.33% increase. 55.56% increase.

Step-by-step explanation:

3 0
3 years ago
Question 1: Find the equation of the line through point (5,4) and perpendicular to y=−43x−2. Use a forward slash (i.e. "/") for
Mariulka [41]

Answer:

Question 1: y = 3/4x + 1/4.

Question 2: y = 6/5x + 7/5.

Step-by-step explanation:

Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.

Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.

4 = 3/4(5) + b

b + 15/4 = 4

b = 16/4 - 15/4

b = 1/4

So, the equation of the line is y = 3/4x + 1/4.

Question 2: 5x + 6y = -6

6y = -5x - 6

y = -5/6x - 1

As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.

The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.

-1 = 6/5(-2) + b

b - 12/5 = -5/5

b = -5/5 + 12/5

b = 7/5

So, the equation of the line is y = 6/5x + 7/5.

Hope this helps!

8 0
3 years ago
RSM QUESTION NEED HELP!!!!!! A pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. How much of each must h
Luden [163]

Answer:

40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.

Step-by-step explanation:

13%(x) + 18%(50-x) = 14%*50g   Multiply them all

0.13x + (9-0.18x) = 7

0.13x-0.18x + 9 = 7   Simplify the equation and subtract 0.13x from 0.18x

9-0.05x = 7   Add 0.05x to each side

9 = 7+0.05x   Subtract 7 from both sides

0.05x = 2   Multiply each side by 100

5x = 200   Divide both sides by 5

x = 40

50 - 40 = 10

40 grams and 10 grams

Your welcome

4 0
3 years ago
Read 2 more answers
Problem solving with inequalities
anzhelika [568]

Option D:

15c ≤ 200

Solution:

Let c be the number of cases of tea bags.

Cost of each tea bag = 15 gold coins

Total gold coins Mad have = 200

<u>Set up an inequality:</u>

Cost of c tea bags = 15 × c = 15c

Mad can buy tea bags at most 200 gold coins.

(At most 200 means 200 is the greater value)

15 × c ≤ 200

15c ≤ 200

Hence option D is the correct answer.

8 0
3 years ago
Rachel needs to save $1.015 to buy a new scooter. If she saves $35 each
fiasKO [112]

Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equation:

35M = 1015

where M is the number of months that Rachel has saved up money.

Dividing both sides by 35, we get the answer:

M = 29

7 0
2 years ago
Read 2 more answers
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