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3 years ago

Dylan works 30 hours a week. His hours are decreased by 20%. How many hours does he now work each week? 15 20 24 28

Mathematics

1 answer:

fredd [130]3 years ago

3 0

Dylan now must work 24 hours a week.

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Find the slope for the pair of points (1,1)(4,-4)

wolverine [178]

(1, 1) and (4, -4)

Slope formula is : m = (y₂-y₁) / (x₂-x₁)

In this case :

x₁ = 1 ; x₂ = 4 ; y₁ = 1 ; y₂ = -4

Now that you know what variable counts as what, we simply just need to plug everything in.

m = (-4 - 1) / (4 - 1)

Simplify.

m = -5/3

Therefore, your slope is -5/3

~Hope I helped~ :)

6 0

3 years ago

You have a $3175 student loan. Suppose you pay the loan off in two and a half years (30 months). Estimate your monthly payment b

finlep [7]

Answer:

$106

Step-by-step explanation:

The formula given for Monthly payment of a loan =

P × [ r (1 + r)/(1 + r)^n - 1

Where

r = interest rate

n = number of monthly payments

P = Present value of the loan

From the question,

r = interest rate, we were told to ignore hence, r = 0

P = $3,175

n = 30

Hence,

Amount to be paid monthly = P/n

= $3175/30

= $105.83

Approximately to the nearest dollars

= $106

6 0

3 years ago

What is the solution to the system of equations below? 2 x + 3 y = 17. 3 x + 6 y = 30. (Negative 7, 24) (3, 4) (4, 3) (24, Negat

butalik [34]

Answer:

work is shown and pictured

6 0

3 years ago

9/20

Stella [2.4K]

Question:

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

Answer:

The number of real solutions for the equation $x^{2}+5 x+7=0$ is zero

Solution:

For a Quadratic Equation of form : $a x^{2}+b x+c=0$ ---- eqn 1

The solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now , the given Quadratic Equation is $x^{2}+5 x+7=0$ ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , $b^2 - 4ac$ is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

$D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3$

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

4 0

3 years ago

14) If Tony HAS 5 pair of PANTS, 4 SHIRTS, BELTS AND

solniwko [45]

He can make at-least 240

4 0

2 years ago