MATHEMATICS HIGH SCHOOL

Equation E: c = 2d + 1 Equation F: c = 3d + 7 Which statement describes a step that can be used to find the solution to the set of equations? Equation F can be written as c = 3(c − 1) + 7. Equation F can be written as c = 2(c − 7) + 1. Equation F can be written as d + 1 = 3d + 7. Equation F can be written as 2d + 1 = 3d + 7.

Answers

Answer 1

Answer:

last option is correct

Step-by-step explanation:

A step that could be used to find the solution is substitution.

We can directly substitute for c in equation F

Since c= 2d + 1 from equation E, we can substitute directly in equation F and we will have 2d + 1 = 3d + 7

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Algebra 1b radical expressions & data analysis1. Simplify 2/√5

A. 2/√5
B. √10
C. √10/5
D. 2√10/5 *** My answer

2. Simplify -11√112

A. -44√7
B. -176 √7
C. -27 √7
D. 4√7 *** My answer

3. Simplify 17√17 -9 √17

A. 8 *** My answer
B. 8√17
C. 26√17
D. 8√0

4. Simplify 6/ √3 + 2

A. 4/ √3
B. 12 - 6 √3 *** my answer
C. √3 - 2
D. 3

5. What is the domain of the function y = 3√6x + 42 ?

A. X≥0
B. X ≤7 *** my answer
C. X ≥ -6
D. X ≥ -7

6. What are the domain and range of the function y = 2 √3x + 4 - 5 ?

A. X ≥ -4/3 ; y ≥ -5 *** my answer
B. X ≥ 4/3 ; y ≥ -5
C. X ≤ -4/3 ; y ≤ -5
D. X ≥ -4/3 ; y ≥5

7. When will the dependent variable in the equation y = √x+4 - 3 equal or exceed 4 ?

A. X ≥ -0.17
B. X ≥ 45
C. X ≥ 48 *** my answer
D. X ≥ 53

8. Simplify the radical expression. Show all of the steps.

√363 - 3√27

Answers

1 none
2 a
3 b
4 none
5 d
6 a
7 b
$√(363) - 3 √(27) = √(3 * 11 * 11) - 3 √(3*3*3) = 11√(3) - 9 √(3) = 2√(3)$

evaluate 5a + 3b and (5 + a)(3+B) for a=2 and b=4 how is the order of steps diffrent from the two expressions

Answers

the first one = 10+12 = 22
second = 7x7 = 49

the order of the steps are different by the pluses and minuses
the first one had a multiply to 5 and b multiply to 3 and add them together
the second one had a plus 5 and b plus 3 and those two multiplied .

What's the square root of 119?

Answers

10.90871211463571 is the square root of 119

20 is what % greater than 5

Answers

find how much greater 20 is than 5
20-5=15
the % is of 5, so the percent is percent out of 5

20 is x% of 5 greater than 5
20=(x%)5+5
minus 5 both sides
15=(x%)5
divide both sides by 5
3=x%
percent means parts out of 100
x%=x/100
3=x/100
times 100 both sides
300=x

answer is 300%

What is the ordered pair solution for;
x + 2y = 5

3x - y = 1

Answers

$\left\{\begin{array}{ccc}x+2y=5\n3x-y=1&/\cdot2\end{array}\right\n+\left\{\begin{array}{ccc}x+2y=5\n6x-2y=2\end{array}\right\n-----------\n. \ \ \ \ \ \ \ 7x=7\ \ \ \ /:7\n.\ \ \ \ \ \ \ x=1\n\n\left\{\begin{array}{ccc}x=1\n3x-y=1\end{array}\right\n\left\{\begin{array}{ccc}x=1\n3\cdot1-y=1\end{array}\right\n\left\{\begin{array}{ccc}x=1\n3-y=1\end{array}\right\n\left\{\begin{array}{ccc}x=1\n-y=1-3\end{array}\n\left\{\begin{array}{ccc}x=1\n-y=-2\end{array}\right\n\right$
$\left\{\begin{array}{ccc}x=1\ny=2\end{array}\right\n$

Five girls share 4 sandwiches equally. What fraction of a sandwich does each girl get?