One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90?

Answer:

8, -8

Step-by-step explanation:

  Let's say that x is the larger number,

x - y = 16

y = x - 16

xy = P  where P is a minimum  

x(x-16) = P.  

(We can find the vertex, which is the minimum, by writing it in vertex format)  

  Completing square:  

x2 - 16x = P  

x2 - 16x + 64 = P + 64  

(x - 8)2 = P + 64.

 So,

x = 8 and -8

(8 - -8 -> 8 + 8 = 16)

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

[tex]9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32[/tex]

Step-by-step explanation:

Given sinA – cosA = 1/2 squaring on both the sides, we get (sinA – cosA)2 = (1/2)2 ⇒ sin2A + cos2A – 2sinA cosA = 1/4 ⇒ 1 – 2sinA cosA = 1/4 ⇒ 1 – (1/4) = 2sinA cosA ⇒ 2sinA cosA = 3/4 ∴ sinA cosA = 3/8  → (1) (sinA + cosA)2 = (sinA – cosA)2 + 4sinA cosA                         = (1/2)2 + 4(3/8)                         = (1/4) + (3/2) = 7/4 (sinA + cosA) = √(7/4) = (√7)/2 .

Given that,

[tex]\sin A = \dfrac 12\\\\ \implies \sin^2 A = \dfrac 14\\\\\ \implies 1-\cos^2 A = \dfrac 14\\\\\ \implies \cos^2 A = 1 - \dfrac 14 = \dfrac 34\\\\\ \implies \cos A = \pm \dfrac{\sqrt 3}2\\\\\text{Case 1:}\\\\\sin A + \cos A = \dfrac 12 + \dfrac{\sqrt 3}2 = \dfrac{1 + \sqrt 3}2\\\\\text{Case 2:}\\\\\sin A + \cos A = \dfrac 12 +\left(- \dfrac{\sqrt 3}2\right) = \dfrac 12 - \dfrac{\sqrt 3}2=\dfrac{1 - \sqrt 3}2[/tex]

Answer: Choice B

Discriminant = -4; no real solutions

===========================================================

Explanation:

The given quadratic is x^2-4x+5, which is the same as 1x^2-4x+5

We see that

a = 1

b = -4

c = 5

The discriminant is

d = b^2 - 4ac

d = (-4)^2 - 4(1)(5)

d = 16 - 20

d = -4

The discriminant is -4. The negative discriminant means that we have no real solutions. Instead, the two solutions are nonreal complex values in the form [tex]a+bi[/tex] where [tex]i = \sqrt{-1}[/tex]

Answer:

The discriminant is -4, so the equation has no real solutions.

Step-by-step explanation:

The discriminant of the quadratic polynomial [tex]ax^2 + bx + c[/tex] with [tex]a\not= 0[/tex] is:

[tex]\Delta = b^2 -4ac[/tex]

So our variables are:

[tex]a = 1[/tex]

[tex]b = -4[/tex]

[tex]c = 5[/tex]

Replacing in the formula for find the discriminant we have:

[tex]4^2 - 4(1)(5) = 16 -20 = -4[/tex]

Now if  you remember the quadratic formula is the next

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

The discriminant appear inside a square root that's meaning that is impossible have negative values inside an even root (in the real numbers).

If we try to find the square root of negative 4 that's meaning find a number that multiply by itself give me -4.

[tex]2 \cdot 2 = 4\\-2 \cdot -2 = 4[/tex]

How you can see is impossible get the solution of a negative base (the base is the number inside the root) when is an even root. In a general case this would be of the next form:

[tex]\sqrt[2n]{-a} = \text{not found}[/tex]

For this we can assure that doesn't exist solutions in the real numbers,  so the equation has no real solutions.

Answer:

3

Step-by-step explanation:

so we know that this question is asking for the y value when x is equal to -1, so according to the graph its 3

Answer:

So for the 9's facts, we can use a 10's fact, and then just subtract one group. For example, for 9×3, first do 10×3 to make 30, and then subtract one group of 3 to make 27. For 9×7, first do 10×7 to make 70, and then subtract one group of 7 to make 63.

Answer:

it should be C I guess.

Im sorry if it is wrong

Answer:

1738 kilometers

Step-by-step explanation:

Answer:

infinite number of solutions

Step-by-step explanation:

8x + 4 = 8x + 4

Since the expressions on both sides are the same then any value of x will make the equation true.

That is the equation has an infinite number of solutions

Answer:  119z −  110

Step-by-step explanation:

Answer:

  y = K/(16z)

Step-by-step explanation:

  [tex]K=16yz\qquad\text{given}\\\\\boxed{y=\dfrac{K}{16z}}\qquad\text{divide by the coefficient of y}[/tex]

2. perpendicular, parallel, perpendicular, neither, parallel

3. A

4. B

Answer:

Step-by-step explanation:

86400/3600=24 fps

Answer:

There are 24 frames per second.

Step-by-step explanation:

Hi there!

We're given:

1 hour ⇒ 86,400 frames

1 hour ⇒ 3600 seconds

To find the number of frames per second, divide 86,400 by 3600 seconds:

86,400 ÷ 3600 = 24

I hope this helps!

Answer:

-3/5

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

You first have to switch the sides of the numbers. After you do that you multiply both sides by -0.5. Finally, you simplify and get 7.5

Brainliest pls?

Answer:

7.5

Step-by-step explanation:

You can multiply both sides by -0.5.

-15×-0.5=7.5

x=7.5

Hope that helps! :)

Answer:

  all real numbers except x=8

Step-by-step explanation:

There is apparently a vertical asymptote at x = 8. The function is not defined for that value of x, but is defined everywhere else.

  The domain is all real numbers except x=8.

  In interval notation: (-∞, 8) U (8, ∞)

Answer:

at least 164

Step-by-step explanation:

Let the third score = x.

(138 + 208 + x)/3 ≥ 170

x + 346 ≥ 510

x ≥ 164

Answer: at least 164

Answer:

1/25

Step-by-step explanation:

Divide both the numerator and denominator by 4 to simplify it. That would get you 1/25

Answer:

18.725

Step-by-step explanation:

4 5/8 = (4*8 + 5) /8 = 37/8

10 7/10 = (10*10 + 7) / 10 = 107/10

3 2/5 = (3*5 + 2) / 5 = 17/5

lcm of 8, 10, 5 is 40

37/8 + 107/10 - 17/5

= (37*5 + 107*4 - 17*8) / 40

= (185 + 428 + 136) / 40

= 749/40

= 18.725

Answer:

x=10. hope this helps

Step-by-step explanation:

29293

Step-by-step explanation:

yes yes !!

Answer:

a,c

Step-by-step explanation:

You would get $12 in the certificate of deposit, and

a. 12

b. 13.5

c. 12

d. 8

e. 24

so, a and c

Hope this helps!

Let me know if it does and if the answer is right

Interest earned in options $400 at 3% for 1 year, $400 at 3% for 1 year
and $50 at 48% for 6 months has the same interest earned by, as $150 earn 4% annual interest for 2 years.

As mentioned in the question, A certificate of deposit with a principal of $150 earns 4% annual interest for 2 years.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

here,
1. $300 at 2% for 2 years

Simple Interest = principal × rate × time / 100
Simple interest = 300 × 2 /100 × 2
Simple interest = $12

Similarly, interest earned by other options is given as,
2. $13.5
3. $12
4. $8
5. $12

Thus, Options A, C, and E are correct.

Learn more about simple interests here:

https://brainly.com/question/26457073

#SPJ2

Answer:

a + b

Step-by-step explanation:

3(a+b)-2(a-b)​

=> 3a + 3b - 2a - 2b

=> a + b

Therefore, a + b is our answer

Answer:

a + 5b

Step-by-step explanation:

3(a + b) - 2(a - b) ← distribute both parenthesis

= 3a + 3b - 2a + 2b ← collect like terms

= a + 5b

Answer:

4.0833333

Step-by-step explanation:

PLZ give brainliest thanks

Answer:

It is 0.8 + n = 4.5 that is the right answer

Answer: 0.8 plus n equals 4.5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The reciprocal is always the number flipped over.

E.g. reciprocal of 9 is 1/9 and the reciprocal of 1/9 is 9

Answer:

C. 1/5

Step-by-step explanation:

19/50

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Answer:

Some answers for #4 I think!

a = 36

b = 90

c = 36

d = 90

e = 54

Sorry if they are wrong I tried my bestest!