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likoan [24]
2 years ago
7

A linear function has the same y-intercept as x + 4y = 20 and its graph contains the

Mathematics
1 answer:
MariettaO [177]2 years ago
8 0

Answer:

(0,5)

Step-by-step explanation:

x + 4y = 20

4y = -x + 20

y = -1/4x + 5

The y - intercept of the line is 5

(0,5)

-Chetan K

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8th grade math! If you know the answer to this problem please interact(:
jek_recluse [69]

Answer:

the third one (-2,1)

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is the value of x?
Kazeer [188]

Answer:

x = 64

Step-by-step explanation:

2x = 128

x = 64

3 0
2 years ago
Read 2 more answers
Angles α and β are angles in standard position such that: α terminates in Quadrant I and sinα = 3/5 β terminates in Quadrant III
Arte-miy333 [17]

Answer:

-16/65

Step-by-step explanation:

Given sinα = 3/5 in quadrant 1;

Since  sinα = opp/hyp

opp = 3

hyp = 5

adj^2 = hyp^2 - opp^2

adj^2 = 5^2 = 3^2

adj^2 = 25-9

adj^2 = 16

adj = 4

Since all the trig identity are positive in Quadrant 1, hence;

cosα = adj/hyp = 4/5

Similarly, if tanβ = 5/12 in Quadrant III,

According to trig identity

tan theta = opp/adj

opp = 5

adj = 12

hyp^2 = opp^2+adj^2

hyp^2 = 5^2+12^2

hyp^2 = 25+144

hyp^2 = 169

hyp = 13

Since only tan is positive in Quadrant III, then;

sinβ = -5/13

cosβ = -12/13

Get the required expression;

sin(α - β) = sinαcosβ - cosαsinβ

Substitute the given values

sin(α - β) = 3/5(-12/13) - 4/5(-5/13)

sin(α - β)= -36/65 + 20/65

sin(α - β) = -16/65

Hence the value of sin(α - β) is -16/65

5 0
3 years ago
1. Ted found out that the rebate is not given until after he has
nadezda [96]

9514 1404 393

Answer:

  maybe not

Step-by-step explanation:

Consider a couple of scenarios for a $20,000 car purchase and a $2000 rebate, with sales tax at 10%.

1) The rebate is applied directly to the purchase price.

  Taxable amount: $20,000 -2,000 = $18,000.

  Price with tax: $18,000 × 1.10 = $19,800

  Amount financed: $19,800.

__

2) The rebate is given after the sale is complete.

  Taxable amount: $20,000

  Price with tax: $20,000 × 1.10 = $22,000

  Amount financed: $22,000

  Remaining loan balance if $2000 rebate is immediately applied to the loan: $22,000 -$2000 = $20,000

__

If the loan is for 5 years at 3%, the payments and total costs are ...

  Scenario 1: Monthly payment $355.78;

     total cost of loan: 60×355.78 = 21,346.80

  Scenario 2: Monthly payment $395.31;

     total cost of loan: 55×395.31 = $21,742.05  (note there are fewer payments because of the initial payment to principal of $2000)

__

Ted effectively has to finance an additional $200, equal to the sales tax on the rebate. So the delayed rebate costs him an extra $395.25 over the life of the loan.

_____

We have assumed certain tax and payment scenarios. If tax is not an issue, and if the loan terms are such that the rebate can be applied immediately to the loan amount, then <em>there may be no difference in total cost</em>, or the delayed rebate may result in a <em>lower</em> total cost due to the higher monthly payment.

7 0
2 years ago
Someone please help me ✨
DedPeter [7]

Okay, so keeping mind that the equation for area is A = L x W, look at the measurements you already have. 5.5 x 10^5 is the length, and 4.2 x 10^4 is the width. Switch them into full form and use a calculator to multiply the two for the area in meters.

550000 x 42000 = 23100000000, which in scientific form is 2.31 × 10^10. So that's answer one.

For the second, in kilometers, just take the full measurement you already have, 23100000000 m, transfer it into kilometers, 23100000 km, and then find its scientific notation, 2.31 × 10^7. That's answer two.

To answer the last question for which is more suitable, just consider what number you'd prefer to look at: a bigger number or a smaller one. Since the kilometer measurement number is smaller, its correct.

Summarily, the answers are 2.31 × 10^10, 2.31 × 10^7, and square kilometers, in that order.

6 0
2 years ago
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