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valentinak56 [21]
3 years ago
14

Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of we

eks Kalon will need to save to reach his goal?
Mathematics
2 answers:
mina [271]3 years ago
5 0
700-175=525
525:35=15
He must save $35 during 15 weeks to have his new computer
miskamm [114]3 years ago
5 0

Answer:

15 weeks.

Step-by-step explanation:

Let w represent number of weeks.

We have been given that Kalon can save $35 per week, so amount saved in w weeks would be 35w.

Kalon has $175, so total amount saved by Kalon after w weeks would be 35w+175.

Since Kalon needs to save at least $700 for a new computer, so his total savings should be greater than or equal to 700.

We can represent this information in an inequality as:

35w+175\geq 700

35w+175-175\geq 700-175

35w\geq 525

\frac{35w}{35}\geq \frac{525}{35}

w\geq 15

Therefore, Kalon will have to save at-least for 15 weeks to reach his goal.

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Write 3x^2-18x-6 in vertex form
Vedmedyk [2.9K]
The standard form of a quadratic equation is \displaystyle{ y=ax^2+bx+c, while the vertex form is:

                      y=a(x-h)^2+k, where (h, k) is the vertex of the parabola.

What we want is to write \displaystyle{ y=3x^2-18x-6 as y=a(x-h)^2+k

First, we note that all the three terms have a factor of 3, so we factorize it and write:

\displaystyle{ y=3(x^2-6x-2).


Second, we notice that x^2-6x are the terms produced by (x-3)^2=x^2-6x+9, without the 9. So we can write:

x^2-6x=(x-3)^2-9, and substituting in \displaystyle{ y=3(x^2-6x-2) we have:

\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11].

Finally, distributing 3 over the two terms in the brackets we have:

y=3[x-3]^2-33.


Answer: y=3(x-3)^2-33
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Chuge%5Cfbox%5Cpurple%7BQuestion%7D" id="TexFormula1" title="\huge\fbox\purple{Question}" al
ICE Princess25 [194]

The LCM of the given numbers have been determined.

<h3>What is LCM ?</h3>

LCM stands for Least Common Multiple .

For two numbers , LCM is the number that is the smallest number of which they both are a factor.

It is asked to determine

LCM of 6 and 9

6 = { 6 , 12 , 18 , 24 , 30 , 36 , 42 .....}

9 = { 9 , 18 ,27 .....}

The LCM of 6 , 9 is 18

LCM of 8 and 12

8 = { 8,16,24,32....}

12 = {12 , 24 ,36....}

The LCM of 8 and 12 is 24

LCM of 4 , 6 and 8

4 = {4 , 8 , 12 , 16 , 20,24,28 ....}

6 = { 6 ,12 ,18,24......}

8 = {8 , 16,24 .....}

The LCM of 4,6 and 8  is 24

The LCM of 6 and 15 is 30  

The LCM of 20 and 30 is  60

The LCM of 25,30 and 75 is 150

The image of the solution is attached .

To know more about LCM

brainly.com/question/20739723

#SPJ1

6 0
2 years ago
Can someone please help me on this ty!!
AVprozaik [17]
-1
3/4
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Hope this helps
8 0
3 years ago
X^2 + 14 =78 +yx y = 25 Solve for x and graph if u can thanks
Dovator [93]

Answer:

4 x + 4 y = 1  ,  6 x − y = 1 2 x + y = − 2  ,   x + 2 y = 2   x + 2 y = 4  ,  x − y = − 3

Hoped I helped

3 0
3 years ago
TRANSLATIONS ON THE COORDINATE PLANE
klio [65]

Answer:

idk

Step-by-step explanation:

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8 0
3 years ago
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