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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)

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A 5-pack of baseball caps costs $5.18. What is the unit price?
svlad2 [7]

Answer:

5.18÷5=1.036 so round up to 1.04

5 0
3 years ago
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Which of any of these Equation shows the relationship between Kevin's age x and his mothers age Y choose all that are correct 3x
KengaRu [80]

Answer:

b) y-3x = 1

c) 3x+1 = y

Step-by-step explanation:

I think you forgot to write a little part of the question. If your complete statment with this condition, i have the answer.

"Kevin said that if you triple his age the result will be 1 less than his mother age. Which of any of these Equation shows the relationship between Kevin's age x and his mothers age Y choose all that are correct

a) 3x-y=1

b) y-3x=1

c) 3x+1=Y

d) 3x=1-y"

you can write "the triple of this ages" as: 3x. and the result is y-1. That is:

3x = y-1

That equation can be rewrite as:

1. Passing -1 to the other side as +1 you will have: 3x+1=y. That is option c).

2. From last point  3x+1=y. Passing 3x to the other side as -3x you will have: y-3x=1. That is option b).

4 0
3 years ago
Consider the function f(x)= x^2 and the function g(x) shown below. how will the graph of g(x) differ from the graph of f(x)
malfutka [58]

Answer:

f(x) = x^2

g(x) = 4*x^2​

=> For a value of x, the g(x) is 4 times larger than f(x).

=> g(x) is the stretched version of f(x) with stretched ratio = 4).

=> Option D is correct

Hope this helps!

:)

3 0
4 years ago
Read 2 more answers
What is nine plus six divided by (8-2) <br> \
svet-max [94.6K]

Hey there mate ;),

According to given conditions, your question is :

\frac{9 + 6}{8 - 2}

So, now calculating,

\frac{15}{6}

<em>Now </em><em>lets solve </em><em>by </em><em>reducing </em><em>to </em><em>lowest </em><em>terms,</em>

→ \frac{15}{6} = \frac{5}{2}

<em>Now </em><em>by </em><em>di</em><em>viding,</em><em> </em><em>we </em><em>get,</em>

→2.5

<em>Therefore,</em><em> </em>

\frac{9 + 6}{8 - 2} = 2.5

7 0
2 years ago
Write in standard form y=-3x+4 through (0,-1)
aev [14]
Y= -3x +4
So from the equation we can tell that m is 3 .

(0,-1)
(x, y)

0 = x
-1 = y

M = 3

Y = mx+ c
Just insert it
-1 = 3(0) + c
-1 = c

So thts mean the answe is y = 3x-1
4 0
4 years ago
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