MATHEMATICS MIDDLE SCHOOL

Solve the system of equations.
y= 2x
y= x^2 - 15

Answers

Answer 1
Answer:

Answer:

Since both equations are equal to each other given that they are both equal to y, you can say that . . .

2x = x^2  - 15

x^2 - 2x - 15 = 0

(x-5) (x+3) = 0

Zero Product Property

x = 5 ; x = -3

Solve for y:

y = 2(5) ; y = 2(3)

y = 10 ; y = 6

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A company charges $211.25 for 5 trees and 15 shrubs, The company charges$15.25 more for a tree than a shrub. How much does each shrub cost?

Answers

First we make our formula: 5(t+15.25)+15t=211.25. (I use the same letter for both variables, but you have to make sure that whatever makes them different is in the formula) Then you work it like normal: 20t=135, T=6.75 so 1 shrub costs $6.75 Then substitute the answer in: 5(6.75+15.25)+15(6.75)=211.75 and check it. 1 tree is $110 :) hope this helps :)

The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)?

Answers

Answer:

The answer is 14 acually

Step-by-step explanation:
What you have described is a right angled triangle with a hypotenuse of length 13 feet and a base of 5 feet. To find the length of the remaining side (i.e. how far up the side of the building the ladder reaches) you have to use Pythagora's Theorem. This states that the hypotenuse squared is equal to the sum of the squares of the other two sides. So your answer should be 13^2=5^2+(how far up the side of the building the ladder reaches)^2, which becomes 169=25+(other side)^2, =169-25=(other side)^2 = 144= (other side)^2, so the height that the ladder reaches up the side of the building equals 12 feet.

What type of graph uses percents to display data?

Answers

it depends on the data type. if you want to show an increase or decrease in something, you want a LINE GRAPH. if you want to show the difference between more than one variable, i would use a BAR GRAPH.
*hope this helped

1.) What is the vertex of the graph?A (2,2)
B (1,3)
C (3,1)
D (0,2)

2.) Is the vertex of the graph in problem 1 a maximum or a minimum?
A. maximum
B. minimum
C. neither
D. both

Answers

The vertex of the graph is (1,3) and which is maximum

We have given a graph

We have to find the vertex of the graph

What is the vertex of parabola?

The vertex of a parabola is the point where the parabola crosses its axis of symmetry.

Therefore we can see that the pint (1,3) parabola crosses its axis of symmetry.

Therefore (1,3) is vertex and it is maximum.

To learn more about the vertex visit:

brainly.com/question/525947

Answer:

B (1,3)

A maximum

Step-by-step explanation:

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Dances. You may not be older than 14 to enter the school dance. Write inequality for the sentence. aesson 20)

Answers

if you are not older then 14....you must be equal or less then 14
x \leq 14 to enter the dance

the total cost of 3 tables & 2 chairs is rs 1850 ...if a table RS 75 more than a chair ,find the price of each ?

Answers

• We have the enunciation, now we can solve.
♦ We note :
- t, the price of the table;
-c, the price of a chair:

3t+2c=1850   } 
t=c+75          }  =>

=> 3(c+75) +2c=1850
3c+225+2c=1850
5c=1850-225
5c=1625
c=1625:5
c=341=> t=341+75 = 476 . 
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