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2 years ago

Y=−4(x+2) ^2 −1. Graph the equation

Mathematics

1 answer:

Kitty [74]2 years ago

3 0

Answer:

4x^2+15

Step-by-step explanation:

1. multiply whole parenthesis by power of 2

2. gets you 4(x^2+4)-1

3.Multply and it gets you 4x^2+16-1 so it would be 4x^2+15 for your answer

4. throw that into your calculator and make sure its not on radian mode and then press graph

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Fernando cleans pools for the summer for $25 an hour plus a supply fee of $15.

puteri [66]

Answer:

15x+25 ; 70

Step-by-step explanation:

Given that,

Fernando cleans pools for the summer for $25 an hour plus a supply fee of $15.

Here, $25 is constant and $15 increases as the number of hour increase. For x hours, the cost for Fernando to clean a pool is given by :

y = 15x+25

For 3 hours,

y = 15(3)+25

= 45 + 25

= 70

So, the required option is (c) " 15x+25 ; 70 ".

5 0

3 years ago

The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Wri

emmainna [20.7K]

Answer:

a. i. x + y = 180 (1) and x - 4y = 5 (2)

ii. The two acute angles are 35° each and the two obtuse angles are 145° each.

Step-by-step explanation:

a. The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Write and solve a system of equations to find the measures of all the angles.

i. Write a system of equations to find the measures of all the angles.

Let x be the obtuse angles and y be the acute angles.

Since we have two obtuse angles at the top of the isosceles trapezoid and two acute angles at the bottom of the isosceles trapezoid, and also, since the sum of angles in a quadrilateral is 360, we have

2x + 2y = 360

x + y = 180 (1)

Its is also given that the measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles.

So, x = 4y + 5 (2)

x - 4y = 5 (2)

So, our system of equations are

x + y = 180 (1) and x - 4y = 5 (2)

ii. Solve a system of equations to find the measures of all the angles.

Since

x + y = 180 (1) and x - 4y = 5 (2)

Subtracting (2) from (1), we have

x + y = 180 (1)

x - 4y = 5 (2)

5y = 175

dividing both sides by 5, we have

y = 175/5

y = 35°

From (1), x = 180° - y = 180° - 35° = 145°

So, the two acute angles are 35° each and the two obtuse angles are 145° each.

4 0

3 years ago

The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative

pshichka [43]

Answer: For plato family

A fossil with 47% of its carbon-14 remaining is approximately __2998_ years old.

A fossil that is 7,000 years old will have approximately _17%__ of its carbon-14 remaining

Step-by-step explanation:

Just took the test

3 0

2 years ago

Read 2 more answers

My brother is in 6th grade and needs help with his math. I tried to help but I can't find any answers on it.

In-s [12.5K]

Answer:

Question 1) 17.4

Question 2) 1.7

Question 3) 2.8

Question 4) 8.6

Step-by-step explanation:

Mean absolute deviation is the average distance between the data points from the set to the mean point of the data set. It shows the variability in data or how much the data points are spread.

method to calculate Mean absolute deviation:

a. calculate mean

b. calculate absolute deviation of each data point

c. add all the deviations

d. divide absolute deviation by number of points

mean absolute deviation = ∑l $x_{i}$ -xl / n

The given problem has four sub-parts

Solution 1:

Mean= (78+99+90+80+55+56+102+88+60+42)/10

= 750/10

= 75

Mean absolute deviation= ( I 78-75 I + I 99-75 I+I 90-75 I + I 80-75 I +

I 55-75 I + I 56-75 I + I 102-75 I + I 88- 75 I +

I 60-75 I + I 42-75 I) /10

= (174)/10

= 17.4

Solution 2:

Mean = (10+13+7+12+9+8+12+10+11+13)/10

= (105)/10

= 10.5

Mean absolute deviation = ( I 10-10.5 I + I 13-10.5 I + I 7-10.5 I + I 12-10.5 I +

I 9-10.5 I + I 8-10.5 I + I 12-10.5 I + I 10-10.5 I +

I 11-10.5 I + I 3-10.5 I) /10

= 17/10

= 1.7

Solution 3:

Mean= (1+7+10+5+3+3+6+12+9+4)/10

= 60/10

= 6

Mean absolute deviation = ( I 1-6 I + I 7-6 I + I 10-6 I + I 5-6 I + I 3-6 I +

I 3-6 I + I 6-6 I + I 12- 6 I + I 9-6 I + I 4-6 I) /10

= (28)/10

= 2.8

Solution 4:

Mean= (30+46+25+45+18+25+15+32+40+24)/10

= 300/10

= 30

Mean absolute deviation = ( I 30-30 I + I 46-30 I + I 25-30 I + I 45-30 I +

I 18-30 I + I 25-30 I + I 15-30 I + I 32-30 I +

I 40-30 I + I 24-30 I) /10

= (86)/10

= 8.6

8 0

3 years ago

Lisa's store collects 5% sales tax on every item sold. If she collected $22.00 in sales tax, what was the cost of the items her

Ede4ka [16]

Since we are looking for the principal amount, then all we have to do is reverse the process of getting the amount of tax. In order to get the principal, you just have to divide 22 with 0.05. The answer is 440 so that is the principal amount you are looking for.

5 0

2 years ago