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PtichkaEL [24]
4 years ago
14

Which statement is true about the function f(x)= StartRoot negative x EndRoot?

Mathematics
2 answers:
sveticcg [70]4 years ago
6 0

Because x is negative the domain of the function is all negative real numbers.

Set the radical greater than or equal to 0:

-x >= 0

Turn x positive by multiplying both sides by -1. When you multiply an inequality by -1 you need to reverse the inequality sign:

X <= 0

Domain is all real numbers below 0 so all negative real numbers.

just olya [345]4 years ago
6 0

Answer:

Because x is negative the domain of the function is all negative real numbers.

Set the radical greater than or equal to 0:

-x >= 0

Turn x positive by multiplying both sides by -1. When you multiply an inequality by -1 you need to reverse the inequality sign:

X <= 0

Domain is all real numbers below 0 so all negative real numbers.

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You need to buy 30 pounds of hamburger and 15 packages of buns for a staff-appreciation picnic. You have 2 options for hamburger
son4ous [18]

We have to determine the best cost after all discounts and tax.

Hamburger:

1 pound of Open Acres = $2.39

30 pounds of Open Acres = 30 \times \$2.39 = \$71.7

10% off is provided if we buy at least 10 pounds of Open Acres, we bought 30 pounds. So, we get 10% off.

10% off on 30 pounds of Open Acres Hamburgers = 10% of $71.7

= \frac{10}{100} \times 71.7 = 7.17

Total cost of 30 pounds of Open Acres Hamburgers = $71.7 - $7.17

=$64.53

Buns:

1 packet of Burly buns = $1.93

15 packets of Burly buns = 15 \times \$1.93

=$28.95

5% off on 15 packets of Burly buns = 5% of $28.95

= \frac{5}{100} \times 28.95 = \$1.4475

Total cost of 15 packets of Burly buns = $28.95 - $1.4475

=$27.50

Now, according to the question, a 10%-off coupon that can be used on either the hamburger or the buns, but not both, after any other discounts are applied.

Let us apply 10% off applied on Hamburgers:

10% of $64.53

=\frac{10}{100} \times 64.53 = \$6.453

Now, total cost of hamburgers after all the discounts = $64.53-$6.453

= $58.077

And total cost of Buns after all the discounts = $27.50

Total price of hamburgers and buns = $58.077 + $27.50

= $85.577

5% tax applied on total price of hamburgers and buns = 5% of $85.577

= $4.28

Best cost on the purchase of hamburgers and buns = $85.577 + $4.28

= $89.857

Rounding to the nearest hundredth dollar, we get

Best cost on purchase of 30 pounds of hamburgers and 15 packets of buns after all discounts and tax = $89.86

4 0
3 years ago
Read 2 more answers
Which of the following inequalities are correct?
zysi [14]

Answer:

Theyre all correct

Step-by-step explanation:

5 0
3 years ago
Solve the simultaneous equation<br> 2x+4y=1<br> 3x+5y=7b
Lyrx [107]

Step-by-step explanation:

  • 3x+5y=7b equation 1
  • 2x+4y=1

2x=-4y+1

  • x=(-4y+1)/2
  • x=(-4y+1)/2 in equation 1

3×(-4y+1)/2+5y=7b

(-12y+3)/2+5y=7b

(-12y+3+10y)/2=7b

(-12y+3)/2=7b

-12y+3=14b

-12y=14b-3

  • y=3-14b/12
  • y=3-14b/12 in x=(-4y+1)/2

x=(-4×{3-14b/12}+1)/2

x=(-3+14b)/3+1/2

x=14b/3×1/2

  • x=7b/3
8 0
3 years ago
Can someone help me and explain what to do here?
Vesna [10]

Answer:

 ∠STU = 69°

Step-by-step explanation:

The angle with vertex T is called an "inscribed angle." It intercepts arc SU. The relationship you are asked to remember is that the measure of the inscribed angle (T) is half the measure of the arc SU.

Point V is taken to be the center of the circle. The angle with vertex V is called a "central angle." It also intercepts arc SU. The relationship you are asked to remember is that the measure of the central angle (V) is equal to the measure of arc SU.

__

Using these two relationships together, we realize angle V is twice the measure of angle T:

  ∠SVU = 2×∠STU

  18x +12° = 2(18x -57°) . . . . . . relationship between the marked angles

  18x +12° = 36x -114° . . . . . eliminate parentheses

  126° = 18x . . . . . . . . . . . add 114°-18x

  ∠STU = 18x -57° = 126° -57°

 ∠STU = 69°

_____

<em>Additional comment</em>

You may notice we did not solve for x. We only needed to know the value of 18x, so we stopped when we found that value. (Actually, we only need the value of 18x-57°. See below.)

__

<em>Alternate solution</em>:

  (18x +12°) -(18x -57°) = 18x -57° . . . . . . . subtract 18x -57° from both sides of the first equation.

  69° = 18x -57° . . . . . simplify. This is the answer to the problem.

4 0
3 years ago
Using the chart above, find the total amount and amount of interest paid in the following compound interest problems.
gizmo_the_mogwai [7]

Answer:

Annually: Total Amount = 1611.76, Interest Amount = 711.76

Semiannually: Total Amount = 1625.50 , Interest Amount = 725.50

Quarterly: Total Amount = 1632.62 , Interest Amount = 732.62

Step by Step Explanation:

We can see from the table that the factor that we need to multiply with 900 in order to get amount for compounded annually is 1.7908477. Therefore, our total amount is 1.7908477*900 = 1611.76 and interest earned is 1611.76-900 = 711.76.

The factor that we need to multiply with 900 in order to get amount for compounded semiannually is 1.8061112. Therefore, our total amount is 1.8061112*900 = 1625.50 and interest earned is 1625.50-900 = 725.50.

The factor that we need to multiply with 900 in order to get amount for compounded semiannually is 1.8140184. Therefore, our total amount is 1.8140184*900 = 1632.62 and interest earned is 1632.62-900 = 732.62.

6 0
4 years ago
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