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2 years ago

5

Fill in the blanks so that the equation has infinitely many solutions. 7x + 2 + x = (2x + ) Options: 1/4 and 1/2 and 2 and 4

and 6 and 8

1 answer:

Cloud [144]2 years ago

5 0

Answer:

4 and 1/2

Step-by-step explanation:

7x + 2 +x = 8x + 2

8x + 2 = 4(2x + 1/2)

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Solve the system of equations using substitution. Show your work<br> y=2x + 3<br> y=3x + 1

FrozenT [24]

Answer:

x=2 and y=7

Step-by-step explanation:

Step: Solvey=2x+3for y:

y=2x+3

Step: Substitute2x+3foryiny=3x+1:

y=3x+1

2x+3=3x+1

2x+3+−3x=3x+1+−3x(Add -3x to both sides)

−x+3=1

−x+3+−3=1+−3(Add -3 to both sides)

−x=−2

−x

−1

=

−2

−1

(Divide both sides by -1)

x=2

Step: Substitute2forxiny=2x+3:

y=2x+3

y=(2)(2)+3

y=7(Simplify both sides of the equation)

3 0

3 years ago

Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec

vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

$\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}$

Hence, we have:

$\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\ \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}$

Divide the expression for the fifth term by the expression for the second term:

$\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}$

Substituting the value of r into any of the expression:

$\begin{gathered} ar\text{ = 18} \\ a\text{ }\times\text{ 2 = 18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}$

Hence, the explicit rule for the sequence is:

$a_n\text{ = 9\lparen2\rparen}^{n-1}$

5 0

1 year ago

Lamont designs a survey of town residents in an attempt to predict who will be elected mayor. He chooses his sample of 500 peopl

Natali [406]

Answer:

B

Step-by-step explanation:

I took the test

4 0

3 years ago

Read 2 more answers

I need help with my home work

Andrew [12]

Answer:

I would say 3

Step-by-step explanation:

ABC is a scaled down triangle of AED

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5 0

1 year ago

GEOMETRY: You are building a shelf that fits in a corner. In the figure, the entire shelf is IJK . Each unit in the coordinate p

arsen [322]

Answer:

A= 12.5 inches²

Step-by-step explanation:

a=1/2bh

a=1/2(5)5

a=1/2(25)

a= 12.5

3 0

2 years ago