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Anvisha [2.4K]
3 years ago
7

I NEED HELP WITH MATHQuestion: (In the pic)

Mathematics
1 answer:
storchak [24]3 years ago
8 0
Inequality, because want to know when we'll make a profit.
d (- 680+ 960) \geqslant 52000 \\  280d \geqslant 52000
Profit: Let's See When 280d equals 52000

d \geqslant  \frac{52000}{280}  \\ d \geqslant 185.71
So, after 190 days Julianne will make a profit
280(190) \geqslant 52000 \\ 53200
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Bob earns $2900 per month. 15% of his salary is deducted for his car loan. Which operation do I use?
spayn [35]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Bob earns $2900 per month. 15% of his salary is deducted for his car loan.

F<u>irst, we need to calculate the deduction for the car:</u>

Deduction= 2,900*0.15

Deduction= $435

<u>Now, the monthly salary that remains for Bob:</u>

Montlhy salary= 2,900 - 435

Monthly salary= $2,465

6 0
2 years ago
Consider the function h(x) =x2 – 12x + 58.
alekssr [168]

Answer:

The correct option is;

x ≥ 6; h⁻¹(x) = 6 +√(x - 22)

Step-by-step explanation:

Given the function, h(x) = x² - 12·x + 58

We can write, for simplification;

y = x² - 12·x + 58

Therefore;

When we put x as y to find the inverse in terms of x, we get;

x = y² - 12·y + 58

Which gives;

x - x = y² - 12·y + 58 - x

0 = y² - 12·y + (58 - x)

Solving the above equation with the quadratic formula, we get;

0 = y² - 12·y + (58 - x)

x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}

a = 1, b = -12, c = 58 - x

Therefore;

x = \dfrac{-(-12)\pm \sqrt{(-12)^{2}-4\times (1)\times (58 - x)}}{2\times (1)}= \dfrac{12\pm \sqrt{144-232 + 4 \times x)}}{2}

x =  \dfrac{12\pm \sqrt{4 \times x - 88}}{2} =  \dfrac{12\pm \sqrt{4 \times (x - 22)}}{2}  = \dfrac{12\pm 2 \times \sqrt{ (x - 22)}}{2}

x = \dfrac{12\pm 2 \times \sqrt{ (x - 22)}}{2} = {6 \pm  \sqrt{ (x - 22)}}

We note that for the function, h(x) = x² - 12·x + 58, has no real roots and the real minimum value of y is at x = 6, where y = 22 by differentiation as follows;

At minimum, h'(x) = 0 = 2·x - 12

x = 12/2 = 6

Therefore;

h(6) = 6² - 12×6 + 58 = 22

Which gives the coordinate of the minimum point as (6, 22) whereby the minimum value of y = 22 which gives √(x - 22) is always increasing

Therefore, for x ≥ 6, y or h⁻¹(x) = 6 +√(x - 22)  and not 6 -√(x - 22) because 6 -√(x - 22) is less than 6

The correct option is  x ≥ 6; h⁻¹(x) = 6 +√(x - 22).

7 0
3 years ago
Calvin wants to buy for books at 4.89 dollars each estimate how much change will get back from two $10 bills
Lemur [1.5K]

Answer:

44 cents

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which letters have rotational symmetry ? answers : W , K, Y , O , P , Z
nirvana33 [79]
O definitely does. I think Z and W do as well.

Y, K and P don't because they can't be rotated and map onto themselves.
4 0
3 years ago
Please give a step by step explanation with the reasons. Basically a proofs column.<br> Thank you.
lesya692 [45]
Angle 4 equals angle 5, when all angles are equal and the triangles are similar
8 0
2 years ago
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