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Yuki888 [10]
2 years ago
11

A line is represented by the equation x + 2y = 4. What is the slope and y-intercept?

Mathematics
1 answer:
Fittoniya [83]2 years ago
3 0
To get the slope and y-intercept you have to put the equation into slope-intercept Form.

you do that by isolating y
x + 2y = 4 \\ 2y =  - x + 4 \\ y =  -  \frac{1}{2} x + 2
the slope of your equation is -1/2 and the y-intercept is 2.
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X+3=-x-3 what does x equal
wlad13 [49]

Answer:

x=-3

Step-by-step explanation:

Place like terms on the same side.

Keep in mind when a term is moved from its original position, it changes sign.

x+x=-3-3

2x=-6

x=-3

6 0
3 years ago
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What are the slope and the y-intercept of the linear function that is represented by the table​
valina [46]

Answer:

D: The slope is 3, and the y-intercept is 3/2

3 0
2 years ago
Riverside Elementary School is holding a school-wide election to choose a school color. 5/8 of the voters were for blue 5/9 of t
padilas [110]

Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = \frac{5}{8}x

Number of Voters for green color = \frac{5}{9}(x-\frac58x)=\frac59x(1-\frac58)

Now we will use LCM to make the denominator common we get;

Number of Voters for green color = \frac59x(\frac88-\frac58)=\frac59x(\frac{8-5}{9})=\frac59x(\frac38)=\frac{15x}{72}

Number of Voters for red color = 48

We need to find the number of voters for blue color.

Solution:

Now we can say that;

total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.

framing in equation form we get;

x=\frac58x+\frac{15x}{72}+48

Combining like terms we get;

x-\frac58x-\frac{15x}{72} = 48

Now we will make denominators common using LCM we get;

\frac{72x}{72}-\frac{5x\times9}{8\times9}-\frac{15x\times1}{72\times 1} = 48\\\\\frac{72x}{72}-\frac{45x}{72}-\frac{15x}{72} = 48

Now denominators are common so we will solve the numerators we get;

\frac{72x-45x-15x}{72}=48\\\\\frac{12x}{72}=48\\\\\frac{x}{6}=48

Now multiplying both side by 6 we get;

\frac{1}{6}x\times6=48\times6\\\\x = 288

Number of voters for blue color = \frac{5}{8}x=\frac{5}{8}\times 288= 180

Hence There were 180 voters for blue color.

4 0
3 years ago
Chad earned $30 for raking leaves. He has also earned money by doing chores for 6 weeks. Altogether, he has earned $120. How muc
galben [10]
You know that he makes $90 for doing chores, dividing that by 6 and you get that each week he earns $15 for chores.
6 0
3 years ago
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Mia wants to borrow £6000 and repay it, with interest, after two years. she sees two offers for loans: offer 1 compound interest
AURORKA [14]

Answer:

she is wrong, offer 2 results in lower interests

Step-by-step explanation:

total amount paid if offer 1 is accepted:

$6,000 x (1 + 3%)² = $6,000 x 1.0609 = $6,365.40

she will pay $365.40 in interests

total amount paid if offer 2 is accepted:

($6,000 x 1.01) x 1.05 = $6,060 x 1.05 = $6,363

she will pay $363 in interests

Compounding interest refers to interest that earns more interest itself, e.g. in the first offer, the $180 of interests charged for the first year will earn $5.40 in extra interests. While offer 2 only charges $60 in interests during the first year which will in turn earn $3 of interests. The difference between both offers is that interest charges in offer 1 earn more interests than the interest in offer 2 = $5.40 - $3 = $2.40

4 0
3 years ago
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