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3 years ago

How many solutions does this system have?

Mathematics

1 answer:

Savatey [412]3 years ago

4 0

Answer:

B. One

Step-by-step explanation:

Multiply the first equation by 2 and then add both equations to get rid of $x$ :

$\begin{cases}2x+8y=18,\\-2x+y=0\end{cases}$

Adding both equations:

$8x+y=18,\\9y=18,\\y=2$

Substituting $y=2$ :

$-2x+2=0,\\-2x-2,\\x=1$

Therefore the only solution to the system of equations is (1, 2) and the system has one solution.

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Carlita planted 4 flowers in 6 minutes. About how many flowers can Carlita plant in 36 minutes?

sattari [20]

Answer:

Step-by-step explanation:

$\frac{4}{6} =\frac{x}{36}$

$\frac{4}{6} *\frac{6}{6} =\frac{24}{36}$

$x = 24$

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6 0

2 years ago

Read 2 more answers

Find the distance between<br> 2-3i<br> And<br> 9+21i

Goryan [66]

2 - 3i is just another of writing (2, -3) in the cartesian plane, the 2-3i however is using the "imaginary axis" for the imaginary plane, is all however the imaginary axis is simply the equivalent of the y-axis. Likewise 9+21i is just (9,21), so let's just use the distance formula.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{21})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[9-2]^2+[21-(-3)]^2}\implies d=\sqrt{(9-2)^2+(21+3)^2} \\\\\\ d=\sqrt{7^2+24^2}\implies d=\sqrt{49+576}\implies d=\sqrt{625}\implies d=25$

3 0

2 years ago

Solve 2 cube root 8x+9=5

Alborosie

2 times the cube root of 8x+9=5
divide both sides by 2
cube root of 8x+9=2.5
cube everybody (put to 3rd power)
8x+9=2.5^3
8x+9=15.625
minus 9 both sides
8x=6.625
divie both sides by 8
x=0.828125

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2 years ago

A bag of 8 apples cost $2.88. What is the cost of one apple

k0ka [10]

You have to use the formula cost over quantity Divide 8 and $2.88 The answer is. 0.36

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3 years ago

Miranda wants to give her 14-year-old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the i

Eddi Din [679]

20,000 = P ( 1 + 0.1 )^4
20,000 = P * 1.1^4
20,000 = P * 1.461
P = 20,000 : 1.461 ≈ $13,689.25
Answer: Miranda needs to put now in the bank $13,689.25

3 0

3 years ago