1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
miv72 [106K]
3 years ago
7

I need a step by step explanation how to solve for the solutions of this (Not by graphing)

Mathematics
1 answer:
tester [92]3 years ago
5 0

Answer:

(0, 15) and (11, 48)

Step-by-step explanation:

Given the 2 equations

y = x² - 8x + 15 → (1)

y = 3x + 15 → (2)

Substitute y = x² - 8x + 15 into (2)

x² - 8x + 15 = 3x + 15 ( subtract 3x + 15 from both sides )

x² - 11x = 0 ← in standard form

x(x - 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

x - 11 = 0 ⇒ x = 11

Substitute these values into (2) for corresponding values of y

x = 0 : y = 0 + 15 = 15 ⇒ (0, 15)

x = 11 : y = 33 + 15 = 48 ⇒ (11, 48)

Solutions are (0, 15), (11, 48)

You might be interested in
luna ray has 1 orange pick for every 2 green picks.How manu green picks does luna have if she has 12 total picks
Bess [88]
This is how you do it!

So, There is a ratio of 1:2 for the orange to green.
This means that e can write an equation like this:

Let x be the orange picks

x + 2x = 12
3x = 12
x = 4

This means that there are 4 orange picks, and also 8 green picks

Now we can check that by simplifying the ratio --> 4:8 = 1:2

Therefore, your answer would be 8 green picks

Hope this helped!
3 0
3 years ago
Read 2 more answers
M+3=5:m=? please give me explained​
storchak [24]

Answer: M = 2

Step-by-step explanation:

Given equation: m+3=5

You need to isolate m so you can find its value. Subtract 3 from the left side, and do the same to the right side. Subtracting 3 from 5 as well makes the number become 2 on the right side of the equation. Therefore, m=2.

A rule you should always remember is when you have a value on each side of the equal sign, whatever form of addition, subtraction, multiplication, or division should be done to the other side as well.

6 0
2 years ago
How many minutes is in 0.5 hours
Shkiper50 [21]
1 hour = 60 min

0.5 hours = 60 * 0.5 = 30 min.
8 0
3 years ago
Read 2 more answers
Please answer! Correct earns brainliest!
kati45 [8]

Answer:

the answer is 96

Step-by-step explanation:

hope this helps :)

3 0
2 years ago
Read 2 more answers
Solve the equation. - 1/3m – 7 = 5 A. –4 B. –15 C. –36 D. 6
velikii [3]
<span><span>−1/</span>3</span>‌m−7=5Add 7 to both sides.<span><span><span><span><span>‌<span><span>−1/</span>3</span></span>‌m</span>−7</span>+7</span>=<span>5+<span>7</span></span></span><span><span><span>
‌<span><span>−1/</span>3</span></span>‌m</span>=12</span>Multiply both sides by 3/(-1).<span><span><span>(<span><span>‌<span>3/<span>−1</span></span></span>‌</span>)</span>*<span>(<span><span>‌<span><span>−1/</span>3</span></span>‌m</span>)</span></span>=<span><span>(<span><span>‌<span>3/<span>−1</span></span></span>‌</span>)</span>*<span>(12)</span></span></span><span>m=<span>−36</span></span>Answer:<span>m=<span>−36</span></span>

7 0
3 years ago
Other questions:
  • 6(3m+5)=66<br> find m please
    10·2 answers
  • Write a fact family using the numbers 5/6 and 30
    13·1 answer
  • Please solve the problem |x+1|+|x−2|=3
    14·1 answer
  • NEED HELP WITH THIS ASAP
    12·2 answers
  • Nina deposited $3400 into a savings account that pays a simple annual interest rate of 2.2% how much interest will she earn afte
    8·1 answer
  • HELP PLEASEEEE!!! First correct answer gets brainliest! ​
    7·1 answer
  • How many perfect squares are there between 0 and 150?
    9·1 answer
  • Pls help I’m giving points
    9·1 answer
  • Jerome is buying one pair of pants priced at $27.99. The sales tax is 7.5%.
    15·1 answer
  • Determine the exact value of sin 240
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!