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Naily [24]
3 years ago
14

Simplify the expression. -2(7-12)

Mathematics
2 answers:
Sladkaya [172]3 years ago
7 0
-2(7-12)=
-2(-5)=
10 = Answer
mylen [45]3 years ago
6 0
Answer: 10
7 minus 12 is negative 5. Negative 2 times negative 5 is 10. 
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Find the zeros of y = x2 – 6x – 4 by completing the square.
katrin [286]

Answer:

The solutions to the quadratic equations are:

x=\sqrt{13}+3,\:x=-\sqrt{13}+3

Step-by-step explanation:

Given the function

y\:=\:x^2\:-\:6x\:-\:4

substitute y = 0 in the equation to determine the zeros

0\:=\:x^2\:-\:6x\:-\:4

Switch sides

x^2-6x-4=0

Add 4 to both sides

x^2-6x-4+4=0+4

Simplify

x^2-6x=4

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2

x^2-6x+\left(-3\right)^2=13

Apply perfect square formula:  (a-b)² = a²-2ab+b²

\left(x-3\right)^2=13

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x-3=\sqrt{13}

Add 3 to both sides

x-3+3=\sqrt{13}+3

Simplify

x=\sqrt{13}+3

now solving

x-3=-\sqrt{13}

Add 3 to both sides

x-3+3=-\sqrt{13}+3

Simplify

x=-\sqrt{13}+3

Thus, the solutions to the quadratic equations are:

x=\sqrt{13}+3,\:x=-\sqrt{13}+3

4 0
3 years ago
Evaluate the expression a + c for a = 22 and c = 11.
bixtya [17]

Answer: 33

Step-by-step explanation: substitute a with 22 and c with 11.

22+11=33

4 0
3 years ago
Read 2 more answers
Anne Katz, the owner of Katz Sport Shop, lends $8,000 to Shelley Slater to help her open an art shop. Shelley plans to repay Ann
strojnjashka [21]
I think it is the second one if I'm correct which probably I'm am wrong so don't take my word but if you want to

5 0
3 years ago
Read 2 more answers
Based on the box-and-whisker plot shown below match the terms with the correct values
PolarNik [594]

The Median is 11, and it is shown by the line on the middle of the rectangle.

The range is 12, and you can find it by subtracting the highest data point (17) by the lowest data point (5).

The 25th percentile is 9, and it could be found by looking at the first line in the rectangle.

The 75th percentile is 14, and it could bee found by looking at the last line in the rectangle.

The inter-quartile range is 5, and it can be found by subtracting the upper quartile, or the 75th percentile (14) by the lower quartile, or the 25th percentile (9). 14-9=5

Hopefully this helps.

3 0
3 years ago
Find the area of the composite figure
-BARSIC- [3]

Answer:

48 ft^2

Step-by-step explanation:

5.5 times 6 equals 33 (larger square part)

2.5 times 6 equals 15 (two triangles combined so you dont have to 1/2)

4 0
3 years ago
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