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Oksi-84 [34.3K]
1 year ago
10

Casey wanted to find the intercepts of the graph of the equation 10x+4y=20. He decided to put the equation in slope-intercept fo

rm first. Here is his work:
10x+4y=20
4y=20−10x
y=20−10x4
y=5−10x

He concluded that the slope is m=12 and the y-intercept is (0, 5).

What error did Casey make? Within your explanation, give the correct solved for y equation, the correct slope, and the correct y-intercept.
Mathematics
1 answer:
Gnesinka [82]1 year ago
3 0

Answer:

made a mistake in step 3

Step-by-step explanation:

there, he should have gotten y=5-2x which is then translated to y=-2x+5

this means the y-intercept is correct, but the slope is actually -2

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Find the simple interest paid to the nearest cent for each loan, interest rate, and time. $500, 12%, 18 months
iris [78.8K]

Answer: The interest is $60


Step-by-step explanation:

500*112%=$560

560/18=$31.11

$60 in interest is paid, or an additional $3.33 a month (Bringing the monthly loan payment to a grand total of $31.11)

4 0
2 years ago
Read 2 more answers
Pls pls pls help!!!
cluponka [151]

Answer:

Step-by-step explanation:

there are more money during the week 1 because having a -$8 balance is better than having a -$10 balance, -8 > -10

week 2 has a greater absolute value

| -10| = 10 and |-8| =8 and becasue 10> 8 then |-10| > |-8|

4 0
3 years ago
What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8
Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8  \ ln \ x-5=15.8-5$

Simplifying, we get,

8 \ ln \ x= 10.8

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of e^{1.35}$=3.85742... , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0
2 years ago
A figure is composed of two half-circles.
posledela

Answer:

The answer is C, 220 units.

3 0
3 years ago
Which equations have the same value as 3/5 (30x-15)=72 select 3
const2013 [10]

Answer:

x=4.5

Step-by-step explanation:

Given the equation  \frac{3}{5}(30x-15)=72, we simplify as:

\frac{3}{5}(30x-15)=72\\\\18x-9=72

#We further simplify as multiples of 9(divide by 9 to solve for x):

18x-9=72\\\\2x-1=8\\\\2x=9\\\\x=4.5

Hence, from our simplification  the equation has the same value as x=4.5

5 0
3 years ago
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