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Nataly [62]
3 years ago
7

**PLEASE HELP??? ****STUCK ON THIS!!!!

Mathematics
2 answers:
Olin [163]3 years ago
7 0

Answer:

C.3

Step-by-step explanation:

We are given that

f(w) varies inversely with w.

f(w)=0.75 when w=8

We have to find the value of f(w) when w=2

According to question

f(w)\propto\frac{1}{w}

f(w)=\frac{k}{w}

Where k=proportionality constant

Substitute the given values then, we get

0.75=\frac{k}{8}

k=0.75\times 8

k=6

Substitute the value of k then, we get

f(w)=\frac{6}{w}

Substitute the value of w=2

Then, we get

f(w)=\frac{6}{2}=3

f(w)=3

Hence, option C is true.

iren [92.7K]3 years ago
5 0
I think you have the right answer already
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Sally drives 66 miles in 3 hours and Molly drives 72 miles in 4 hours. What is the difference between their average speed, in mi
Scrat [10]

Answer: A


Step-by-step explanation:

Sally: 66/3=22

Molly: 72/4=18

22-18=4


5 0
3 years ago
Which of these points, if any, is the midpoint of FJ?
ivanzaharov [21]

The mid-point of FJ is the number right in the middle of FJ. Find the mean of F & J. Add regardless of sign

4 + 6 = 10

10/2 = 5

Add 5 to -4

5 + -4 = 1

H is your midpoint

True. As long as AB and BC are on the same line, AB + BC = AC

hope this helps

4 0
3 years ago
Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round t
Nonamiya [84]

Answer:

Area of triangle RST = 95 in² (Approx)

Step-by-step explanation:

Given:

Side a = 22 in

Side b = 13 in

Perimeter = 50 in

Find:

Area of triangle

Computation:

Side c = Perimeter - Side a - Side b

Side c = 50 - 22 - 13

Side c = 15 in

Heron's formula:

s = Perimeter / 2 = 50 / 2

s = 25 in

Area of triangle = √s(s-a)(s-b)(s-c)

Area of triangle = √25(25-22)(25-12)(25-15)

Area of triangle = √25(3)(13)(10)

Area of triangle = 5√390

Area of triangle = 5 × 19(approx)

Area of triangle RST = 95 in² (Approx)

6 0
3 years ago
Can anybody help? I do not understand:(
Dvinal [7]
Six now have a good day happy face bye-bye
7 0
3 years ago
Find the nature of the root
GREYUIT [131]

Answer:

1) Real and same.

2) Real and distinct

3) Real and distinct

4) Real and distinct

5) Real and distinct

6) Real and distinct

7) Real and distinct

8) Real and distinct

Step-by-step explanation:

If a quadratic equation is in the form of ax² + bx + c = 0, then Discriminant of the equation D = b² - 4ac, which governs the nature of roots the equation has.

If D > 0, then there will be two different real roots.

If D = 0, then two same and real roots.

If D < 0, then two distinct but imaginary roots.

Now, 1) x² + 6x + 9 = 0 has D = 6² - 4 × 9 × 1 = 0. So, there will be two same and real roots.

2) 5x² - x = 4x² + 2

⇒ x² - x - 2 = 0

It has D = (-1)² - 4 × 1 × (-2) = 9. Therefore, the roots will be two distinct and real.

3) \frac{2}{x} + \frac{3}{x} = x - 4

⇒ 5 = x² - 4x

⇒ x² - 4x - 5 = 0.

So, D = (-4)² - 4 × (1) × (- 5) = 36. So, the equation has two real and distinct rools.

4) x(x - 5) = 4(5 - x)

⇒ x² - x - 20 = 0

Hence, D = (-1)² - 4 × 1 × (-20) = 81

So, the roots will be real and distinct.

5) x² + 7x + 1 = 0 has D = 7² - 4 × 1 × 1 = 45

So, the roots will be real and distinct.

6) 2x² + 9x + 3 = 0, has D = 9² - 4 × 2 × 3 = 57.

Hence, the roots will be real and distinct.

7) 5x² - 6 = 13x

⇒ 5x² - 13x - 6 = 0

So, D = (-13)² - 4 × 5 × (-6) = 289

So, the roots will be real and distinct.

8) x² - x = 3(x + 7)

⇒ x² - 4x - 21 = 0

It has D = (-4)² - 4 × 1 × (-21) = 100

So, the roots will be real and distinct. (Answer)

6 0
3 years ago
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