MATHEMATICS MIDDLE SCHOOL

50 POINTS! (I rlly need help)

(ALGEBRA 1)

Answers

Answer 1

Answer:

Answer:

43.06 ft

3.20 seconds

Step-by-step explanation:

h = -16t^2 +50t +4

The maximum is at the vertex

The x coordinate for the vertex is a the axis of symmetry

The axis of symmetry is

h=-b/2a when the equation is at^2 +bt+c

h = -50/2(-16)

=-50/-32

= 1.5625

The maximum is when x is at 1.5625

to find y we put this into the equation

h = -16(1.5623)^2 + 50(1.5625) +4

= -16(2.44140625) + 78.125+4

= -39.0625+78.125+4

=43.0625

To the nearest hundredth

43.06 ft

The second part is to find when it hits the ground, or when h=0

0 = -16t^2 +50t +4

Using the quadratic formula

-b±sqrt(b^2 -4ac)

------------------------

-50±sqrt(50^2 -4*-16*4)

------------------------

2*-16

-50±sqrt(2500 +256)

------------------------

-32

-50±sqrt(2756)

------------------------

-32

-50 + sqrt(2756) or -50 + sqrt(2756)

----------------------- -----------------------

-32 -32

-.078 3.20

Since time cannot be negative

3.20 seconds

Related Questions

What are the next 4 multiples of 2/6
What times 4 equals 10?
How many different ways can the letters in the word "micro" be arranged if it always has to start with a vowel?
(x + 5) ( x -3 ) using what algebraic identity?
Which calculation could be used to determine thearea of this square?A=5+5A=5x5A=5+5+5+5A= 4x5

For the data set: 12, 8, 6, 6, 9, 8, 7, 11, 6, “6” is the value for which measure? Select two answers. A. IQR
B. range
C. mode
D. median
E. mean

Answers

Answer:

B, C

Step-by-step explanation:

12 minus 6 = 6 this is range the max minus the minimum

the number that appears the most: 6

Answer:

B and C, Range and Mode.

Step-by-step explanation:

6, 6, 6, 7, 8, 8, 9, 11, 12

IQR interquartile range: 10 - 6 = 4

Range: 12 - 6 = 6

Mode: 6

Median: 8

Mean: 6 + 6 + 6 + 7 + 8 + 8 + 9 + 11 + 12 = 73/9 = 8.1

What would the answer be?
619-(68+q) and q is 386

Answers

$619-(68+386)=\n619-454=\n165$

A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price.The customer was charged 7% tax when the DVD was sold.What was the customer's total cost for the DVD?

Answers

$12×.50=6
6+12=18
18×.07=1.26
18+1.26=19.26
the total cost the customer payed was $19.26

Select the correct answer.In the context of trend analysis, what is base amount?
A. sales of the first year
B. difference in the sales amount of two successive years
C. sales of the current year
D. difference in the sales amount of the first year and the current year

Answers

D....................

a veterinarian purchases some medication for $19.50 and wants to make a $2 profit. what is the percent markup on this medication

Answers

so he has to sell it at 19.5+2=21.5 dollars

so assume19.5=100%
the markup is 2 dollars
2=x%
find x if 19.5=100%

so since they are proportionite
19.5:100 and 2:x
if we make them fractions and flip one of them then multiply we will get 1 since
2/4=1/2
2/4 times 2/1=4/4=1 so

19.5/100 times x/2=19.5x/200=1
19.5x/200=1
multiply both sides by 200
19.5x=200
divide both sdies by 19.5
x=10.256 aprox
x=10.3% markup

To repair body damage on a car auto body charges $125 plus $18 per hour car care charges $200 plus $12 per hour determine the number of hours for which the two body shops will cost the same

Answers

First of all, the equation is 125+18x=200+12x.
First subtract 12x from both sides of the equation. Your equation will now look like this:
125+30x=200
Subtract 125 from each side of the equation.
30x=75
Divide both sides by 30.
x= 2.5
Therefore, the answer is hours.
Hope this helps!

Final answer:

This is a mathematics problem where a linear equation is used to find the number of hours when two auto body repair shops' services will cost the same. By equating and simplifying the cost equations for both companies, we find that the two shops will charge the same for 12.5 hours of work.

Explanation:

The question involves setting up and solving a linear equation. The equation signifies when the cost of service from two different auto body shops will be the same.

For the Auto Body shop, the equation is: Cost = $125 + $18×(number of hours). For the Car Care shop, the equation is: Cost = $200 + $12×(number of hours).

To find the number of hours where both costs are same, we set both equations equal to each other: $125 + $18x = $200 + $12x. Simplifying this, we subtract $125 from both sides getting $75 + $18x = $12x. Subtracting $12x from both sides gives $75= $6x. Dividing by 6, we get $x = 12.5 hours.

So, the two body shops will cost the same if the work lasts for 12.5 hours.