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Makovka662 [10]
4 years ago
7

What are the solutions of the quadratic equation (x+3)^2=49?

Mathematics
1 answer:
rosijanka [135]4 years ago
7 0

Answer:

d. x = 4 and x = –10

Step-by-step explanation:

(x+3)^2=49

Take the square root of each side

sqrt((x+3)^2)=±sqrt(49)

x+3 = ±7

Separate into 2 equations

x+3 = 7           x+3 = -7

Subtract 3 from each side

x+3-3=7-3         x+3-3 = -7-3

x =4                   x =-10

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if 44℅ of mrs.rutherfords class like chocolate ice cream,then how many students are in mrs.Rutherford's class if 11 like chocola
son4ous [18]

Answer:

25 students

Step-by-step explanation:

we know that

44℅ of Mrs. Rutherford's class like chocolate ice cream

11 students like chocolate ice cream

so

11 students represent a 44℅ of Mrs. Rutherford's class

using proportion

Find out how many students represent a percentage of 100% (total students in the class)

\frac{11}{44\%}=\frac{x}{100\%}\\\\x=11(100)/44\\\\x=25\ students

6 0
3 years ago
At a local gas station, regular unleaded gasoline is priced at $1.10 per gallon. If it cost $16.50 to fill a cars gas tank, how
8090 [49]
The tank hold 15 gallons.Because you divide 16.50 by 1.10 .
6 0
4 years ago
Calculate the volume of this cylinder, giving your answer to 1 decimal place.<br>20 cm<br>9 cm​
vazorg [7]

5.092in cubic and 1620π

4 0
3 years ago
Please help!!! thank you so much in advance
RUDIKE [14]

3.

Three different interpretations of an 8% sales tax?  Odd question.

8%, 8 percent, literally means "8 per 100".  For each $100 item you purchase you pay an additional $8 in tax.

8% = 0.08, the factor applied to the price to determine the tax.

8%=8/100, you pay 8 cents in tax for every 100 cents in sales

4.

Just because the ratio is 5:7 doesn't mean the total is 5+7=12.  Non zero factors don't change a ratio, e.g. 5:7=50:70.  

5.

b/g=5/7

The fraction of boys is b/(b+g) which if you've done these a few times you can immediately write down as 5/12.  Let's solve it like its our first time,

g = \frac 7 5 b

\dfrac{b}{b+g} = \dfrac{b}{b + \frac 7 5 b} = \dfrac{1}{1 + \frac 7 5} = \dfrac{1}{\frac{12}{5}} = \dfrac{5}{12}

Similarly the fraction of girls is 7/12.

7 0
4 years ago
Read 2 more answers
Given h(x)=(3x-4), f(x)=(-7x+2), and g(x)=(9x+1), which of the following is equivalent to 2x+3?
Triss [41]

Answer:

f+g is right answer.

Step-by-step explanation:

given

h(x)=(3x-4), \\f(x)=(-7x+2),\\ and g(x)=(9x+1),

2x+3 is given and we have to find the combinations of h,f and g.

By trial and error we check h+f

= -4x-2

h-f = 10x-6

So these two are not correct

Try with h+g = 12x-3 and h-g = -6x-5

Hence these are also not right

Try with f+g

(f+g)(x) = f(x)+g(x) = -7x+2+9x+1 =2x+3

Hence f+g is right.

7 0
3 years ago
Read 2 more answers
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