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2 years ago

How do I write the system of linear equations for this graph?

Mathematics

2 answers:

goblinko [34]2 years ago

5 0

( 1 ) First graph -

x-intercept = 2

y-intercept = -4

$y=2x-4$

[ Proof ]

$2x-4=0\\2x=4\\x=2$

For y-intercept, it's y = 0 -4 = -4

( 2 ) Second graph -

x-intercept = 2

y-intercept = 1

slope = -1/2

$y=-\frac{1}{2}x+1$

[ Proof ]

$-\frac{1}{2}x+1=0\\-x+2=0\\-x=-2\\x=2$

For y-intercept, it's y = 0 + 1 = 1

So it's y = 2x - 4

and y = -1/2x + 1

nataly862011 [7]2 years ago

4 0

Answer:y=-2x+0

Step-by-step explanation:

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yawa3891 [41]

What's the question?

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3 years ago

The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If

Flauer [41]

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

3 0

3 years ago

What time is 5 3/4 hours after 11:32 am?

Norma-Jean [14]

Answer:

5:17pm

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)=

melisa1 [442]

Answer:

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean the z sore is negative. It is given by:

$z=\frac{x-\mu}{\sigma}$

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

$z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2$

For 12.5 inches:

$z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1$

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%

4 0

3 years ago

Steven wrote this equation. 4×18=418 Explain the error in Steven's reasoning. Find the correct product. Enter your explanation a

Thepotemich [5.8K]

Given:

Steven wrote this equation:

$4\times 18=418$

To find:

The error in Steven's reasoning and then find the correct product.

Solution:

We have,

$4\times 18=418$

This statement is incorrect because we cannot write product directly as Steven wrote.

We need to multiply the place values of each digit of first number with the place values of second number and then we need to add the resulted values.

$4\times 18=4\times (10+8)$

$4\times 18=4\times 10+4\times 8$

$4\times 18=40+32$

$4\times 18=72$

Therefore, the correct product is 72.

4 0

3 years ago