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LenaWriter [7]
3 years ago
8

Maria solved the equation -5 1/8n = -9 3/4 . Her answer was n = 1 37/41 . She is fairly confident about her answer, but wants to

do a quick check of her solution using estimation.
Which of the following shows a good check of her answer?

-6(2) = -12
-5(-2) = -10
-5(2) = -9
-5(2) = -10
Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
7 0
-5 1/8 would round to -5
-9 3/4 would round to -10
1 37/41 would round to 2

-5(2)=-10

Hope this helped :)
ycow [4]3 years ago
7 0

Answer:

-5(2)=-10

Step-by-step explanation:

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Find the x- and y- intercepts of parabola y=5x^2-16x+10
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Y-INTERCEPT

y = 5x^2 - 16x + 10

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0

We need to use the quadratic formula

The quadratic formula helps us find what values of x make the equation = 0

Quadratic formula: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\

The x-intercepts are at:

(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)

5 0
2 years ago
Answer this correctly for the brainliest answer
Lilit [14]

Answer:

bottom left

Step-by-step explanation:

parallel lines will never intersect

8 0
2 years ago
Read 2 more answers
Suppose you have $5000 to invest. A certificate of deposit (CD) earns 6% annual interest, while bonds, which are more risky, ear
dimulka [17.4K]

$2000*6%= what and $3000*8%=? i have given you the answer without solving it for you but the answers to these add up to 360 but i still however want you to find out what each one equals by itself.
8 0
3 years ago
Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p
kap26 [50]

Answer:

4800+183x\geq 8000

She must sell at least 18 policies to make an annual income of at least $8,000

Step-by-step explanation:

Let x be the number of policies Mrs. Robinson must sell

We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:

\frac{3*6,100}{100} =183

Now we know that she makes $183 per policy sold. Since x is the number of policies sold, 183x is her total commission for selling x policies.

We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:

4800+183x

Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:

4800+183x\geq 8000

Let's solve the inequality:

1. Subtract 4800 from both sides

4800-4800+183x\geq 8000-4800

183x\geq 3200

2. Divide both sides by 183

\frac{183x}{183} \geq \frac{3200}{183}

x\geq 17.48

Since she can't sell a fraction of a policy, we must round the result to the next integer:

x\geq 18

We can conclude that she must sell 18 policies to make an annual income of at least $8,000.

7 0
3 years ago
Ron’s class donated d dollars to a local charity. Danny’s class donated 21% more than Ron’s class. Which expression shows the am
Anna [14]

Answer:

It is A

Step-by-step explanation:

Your welcome

Let me know if you ever need help! :)

3 0
3 years ago
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