MATHEMATICS HIGH SCHOOL

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebraically.(–5, –80)
(5, 0)
(5, 0) and (–5, –80)
no solutions

Answers

Answer 1
Answer:

Answer:

(5, 0 )

Step-by-step explanation:

Given the 2 equations

y = x² - 2x - 15 → (1)

y = 8x - 40 → (2)

Substitute y = x² - 2x - 15 into (2)

x² - 2x - 15 = 8x - 40 ( subtract 8x - 40 from both sides )

x² - 10x + 25 = 0 ← in standard form

(x - 5)² = 0 ← in factored form, thus

x - 5 = 0 ⇒ x = 5

Substitute x = 5 into (2) for corresponding value of y

y = 8(5) - 40 = 40 - 40 = 0

Solution is (5, 0 )
Answer 2
Answer:

Answer: b

(5,0)

Step-by-step explanation:

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56 is 69% of what number? Round your answer to the nearest hundredth if necessary.Incorrect answer:124

How do you solve -8+3x <-17x+17 for graphing?

Answers

-8+3x < -17x+17
     -17x 
___________
     -8+(-14x) < 17
                        -8
________________
                        -14x <  9
    -8 + 3x < -17x + 17
        + 17x + 17x       
  -8 + 20x < 17
+ 8             + 8
          20x < 25
           20     20
              x < 1.25
              x > 1.25

If the volume for 3-D polyhedra A is 300 cm3 and the volume for 3-D polyhedral B is 900 cm3. How many times bigger is the volume of pyramid B than pyramid A? Select one:
a. 3%
b. 30%
c. 300%
d. 3000%

Answers

Answer:

c. 300%

Step-by-step explanation:

In order to solve this problem you just have to divide the bigger polyhedral by the smaller polyhedral:

(900 cm^(3) )/(300cm^(3))

As this is equal to 3, you know that the bigger polyhedral is 3 times bigger than the smaller polyhedral so now you just make a rule of three, if an object that is 100% bigger than other is 1 time bigger, what would be the percentage of an object that is 3 times bigger?

(1)/(100)=(3)/(x)

Once you clear the X the equation would look like this:

x=(3*100)/(1)

x=300
Hello Marie,

V(B)/V(A)=900/300=3=300/100=300%

Write a compound inequality that represents the situation. On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.A. 20 ≥ x ≥ 50

B. 20 < x < 50

C. 20 > x > 50

D. 20 ≤ x ≤ 50

Answers

Answer:

D) 20 ≤ x ≤ 50.

Step-by-step explanation:

Given : , the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.

To find: Write a compound inequality that represents the situation.

Solution : We have given that

Maximum speed  = 50 miles per hour.

Minimum speed  = 20 miles per hour.

Let x represent the speed .

According to question

maximum speed  is 50 or less than 50.

Then we will use less than equal to sing

x ≤ 50

For Minimum speed is 20 or greater than 20 .

x ≥ 20

On combining both statement,

20 ≤ x ≤ 50

Therefore, D) 20 ≤ x ≤ 50.
Hello,

x is the rate

Answer D  20<=x<=50

If you may drive at the max rate.

How can you use 2, 3, 5 and 8 to get 104?

Answers

Salma showed me how to do it.

Here are two ways:

8 times (5·3 - 2)  =  8 times (15 - 2)  =  8 times 13  =  104 .

8 times (5·2 + 3)  =  8 times (10 + 3)  =  8 times 13  =  104.

Thank you, Salma.
the answer would be 8·(5*2+3)=8·(15+3)=8·13=104 i hope this helps=)

Angie has some red and blue beads. 40% of her beads were red. When she lost 50 blue beads, the number of blue beads was reduced by 1/3 its original number of beads. How many beads did Angie have in the end?

Answers

Answer:

Step-by-step explanation:

Let x represent the total number of red and blue beads

Angie has some red and blue beads. 40% of her beads were red. This means that the total number of red beads is

40/100 × x = 0.4x

The number of blue beads would be

x - 0.4x = 0.6x

When she lost 50 blue beads, the number of blue beads was reduced by 1/3 its original number of beads. This means that

0.6x - 50 = 0.6x - 0.6x/3

0.6x - 50 = 0.6x - 0.2x = 0.4x

0.6x - 0.4x = 50

0.2x = 50

x = 50/0.2 = 250

The number of blue beads that Angie had initially is

0.6 × 250 = 150

The number of blue beads that Angie has left is

150 - 50 = 100 beads

The number of beads that Angie has in the end is

250 - 50 = 200 beads

If two lines intersect, what angles are congruent?opposite angles
adjacent angles
supplementary angles
vertical angles

Answers

Answer= Opposite Angles

The opposite angles of intersecting lines are congruent.
if two lines intersect they would be opposite angles 
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