All categories

2 years ago

Which graph shows the solution to the system of equations?y =-2x+1 and y =-3/2

Mathematics

1 answer:

lara31 [8.8K]2 years ago

5 0

Answer:

(1.25, -1.5)

Step-by-step explanation:

The system of equations:

y = -2x + 1

y = -3/2

So we know that the two lines meet at the point where y = -3/2 = -1.5

∴ -1.5 = - 2x + 1

2x = 1 + 1.5 = 2.5

x = 2.5 ÷ 2 = 1.25

So the solution to this system of equation (or where the two lines meet) is the point (1.25, -1.5)

You might be interested in

What would be the awnsers

Fittoniya [83]

The answer would be 42

8 0

2 years ago

WIll mark BRAINLIST plz help

Pani-rosa [81]

F(-1) = 2(-1)^2 + 8(-1)
= 2(1) + (-8)
= -6

3 0

2 years ago

A dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours. At this constant rate, how long does i

Novosadov [1.4K]

Answer:

$\frac{4}{5}$ hour

Step-by-step explanation:

Let x represent time taken by dog to run the 1 and three tenths -mile state fair race.

We have been given that a dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours.

We will use proportions to solve our given problem as:

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

We will equate both speeds as:

$\frac{1\frac{3}{10}}{x}=\frac{3\frac{1}{4}}{2}$

$\frac{\frac{13}{10}}{x}=\frac{\frac{13}{4}}{2}$

$\frac{13}{10\cdot x}=\frac{13}{4\cdot 2}$

Cross multiply:

$13\cdot 10\cdot x=13\cdot 4\cdot 2$

$10\cdot x=4\cdot 2$

$\frac{10\cdot x}{10}=\frac{4\cdot 2}{10}$

Therefore, it will take $\frac{4}{5}$ hour to complete $1\frac{3}{10}$ mile state fair race.

7 0

2 years ago

Write a linear equation that contains the ordered pair shown in the table below:

Nutka1998 [239]

Did anyone get the answer??

7 0

2 years ago

8. Hassan made a vegetable salad with 2 3/8 pounds

amm1812

let's convert firstly the mixed fractions to improper fractions and then add up.

$\bf \stackrel{mixed}{2\frac{3}{8}}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\\\ \stackrel{mixed}{2\frac{7}{8}}\implies \cfrac{2\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{23}{8}} \\\\[-0.35em] ~\dotfill$

$\bf \cfrac{19}{8}+\cfrac{5}{4}+\cfrac{23}{8}\implies \stackrel{\textit{using an LCD of 8}}{\implies \cfrac{(1)19+(2)5+(1)23}{8}}\implies \cfrac{19+10+23}{8} \\\\\\ \cfrac{52}{8}\implies \cfrac{13}{2}\implies 6\frac{1}{2}$

5 0

2 years ago