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Strike441 [17]
3 years ago
14

Bailey writes the expression g2 + 14g + 40 to represent the area of a planned school garden in square feet. If g = 5, what are t

he dimensions of the school garden?
Mathematics
1 answer:
Dvinal [7]3 years ago
3 0
If g = 5, all you have to do is plug in 5 for all the g's
(5)^2 + 14(5) + 40
25 + 70 + 40
25 + 110
135
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(06.01) In the below system, solve for y in the first equation. x + 3y = 6 2x − y = 10 one thirdx + 2 negative one thirdx + 6 −x
NISA [10]

we have that

x + 3y = 6 -------> first equation

2x − y = 10


x + 3y = 6-----> substract x both sides

-x+x+3y=6-x

3y=6-x-----> divide by 3 both sides

y=(6-x) /3

y=2-(x/3)

y=-(x/3)+2

therefore


the answer is

negative one thirdx + 2

5 0
3 years ago
Find the solution to the system of linear equations y = 5x + 4 and y = −3x + 12 using the intersection method. Check your answer
Umnica [9.8K]

Answer:

The solution to the system of linear equations is (1,9).

Step-by-step explanation:

The given system of linear equations

y=5x+4            ... (1)

y=-3x+12           .... (2)

Subtract equation (2) from equation (1) to eliminate y.

y-y=(5x+4)-(-3x+12)

0=5x+4+3x-12

On combining like terms, we get

0=(5x+3x)+(4-12)

0=8x-8

Add 8 on both sides.

0+8=8x-8+8

8=8x

Divide both sides by 8.

1=x

The value of x is 1.

Substitute x=1 in equation (1).

y=5(1)+4

y=5+4

y=9

The value of y is 9.

Therefore the solution to the system of linear equations is (1,9).

4 0
2 years ago
What is the sum of the numbers in the series? 15 + 11 + 7 + . . . + (–129)
babymother [125]
Using Gauss's method
Total number of terms = [15-(-129)]/4+1=36+1=37
Add
S=15+11+7+....-125-129
S=-129-125-...+7+11+15
--------------------------------
2S=-114-114-114...(37 times)
=>
sum=S=(1/2)*(-114)*37=-2109


Using AP, T(n)=15+11+7+....-129
T(n)=19-4n  => T(1)=15, T(37)=-129
S(n)=(1/2)(37)(T(1)+T(37)=(1/2)37(15-129)=2109
3 0
3 years ago
If we have the equation y=ax2+bx+c, how can we can find the x-coordinate of the<br> vertex?
pishuonlain [190]
To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
4 0
3 years ago
Is 1000 a term in the sequence 50,65,80,95
Alex Ar [27]
Yes it is

it’s the 41st term

EXPLANATION:

the nth term would be 15n+35
because the terms go up by 15 and you add 35 to get to the term.


1. 2. 3. 4.
50. 65. 80. 95

1000- 35= 965


965/15=41

7 0
2 years ago
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