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Akimi4 [234]
3 years ago
12

Write x^2 - 8x - 3 in vertex form

Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0
x^2 - 8x - 3=
x^2-8x+16-19=(x-4)^2-19
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Can you explain step by step for #15 and #16 I have a test on this tomorrow
RUDIKE [14]

Answer:

15.

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. 10 ml of 20% saline and 40 ml of 10% saline

Step-by-step explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so

x + y = 50.

There are  0.2x ml of salt in x ml of 20% saline and 0.1y ml of salt in 10% saline. There are 0.12\cdot 50=6 ml of salt in 50 ml of 12% saline. Thus,

0.2x+0.1y=6

15. We get the system of two equations:

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. Solve this system. From the first equation:

x=50-y

Substitute it into the second equation:

0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10

7 0
3 years ago
Which equation represents each scenario
Mkey [24]

Answer:

if she question 1 spend $25 out of the $150, then you would do 150 sub 25 to get 125

Kevin has 10 signs. he's adding 5 signs, so divide 10 to 5 to get 2

Harvey has 5 in 1 minute, i would say in 2 minutes he'll have 10

Fran adds $25 to her $150 then she'll get $175.

Step-by-step explanation:

P= Parentheses  

E= Exponent      

M= Multiplication

D= Division

A= Addition

S= Subtraction

If this doesn't help then sorry , hope this helps.

4 0
3 years ago
Rosetta drove her car 160 miles in 2 hours. Which of the following correctly expresses her rate as a ratio?
svp [43]

Rosetta drove her car 80 miles in one hour. Assuming that you ate talking about miles per hour you decide 160÷2=80 therefore, she drove 80 miles per hour (80/mph)

7 0
3 years ago
Read 2 more answers
How do you square a variable
77julia77 [94]
To square means to multiply something by itself. A variable is a letter such as x. So a squared variable=x×x=x^2.
I hope that helped.
8 0
3 years ago
One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have
irinina [24]
One of your friends gives you $10 for a charity walkathon -- this is your beginning amount.
Another friend gives you an amount per mile -- you will to calculate this value.
After 5 miles, you have raised $13.50 total --
-- Since one friend gave you $10.00, subtract this from the $13.50 to give you the amount by walking the 5 miles 
-- $10.00 - $13.50 = $3.50
-- Since you walked 5 miles, divide $3.50 by 5 to give you $0.70 per mile earned.

So, an equation that represents the amount of money earned is: y = $0.70x+$10.00.
This is in slope-intercept form; the slope is $0.70 and represents the amount of money earned per mile and the intercept is $10.00 and represents the initial amount of money that you were given.
7 0
4 years ago
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