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mario62 [17]
3 years ago
7

Describe and correct the error in finding the slope and the y-intercept of the graph of the equation.

Mathematics
1 answer:
Nastasia [14]3 years ago
6 0

Answer:

The error is the slope is -4 and the correct is, the slope is  -\frac{1}{4}

Step-by-step explanation:

You must put the equation in the form of y = m x + b, where

  • m is the slope
  • b is the y-intercept

Let us put the equation n the form above

∵ x = -4y

→ Switch the two sides

∴ -4y = x

→ Make the coefficient of y equal 1 by divide both sides by -4

∵ \frac{-4y}{-4} = \frac{x}{-4}

∴ y = \frac{x}{-4}

→ Write \frac{x}{-4} as -\frac{1}{4} x

∴ y =  -\frac{1}{4} x

→ Compare it by the form above

∴ m =  -\frac{1}{4}  and b = 0

∴ The slope of the is  -\frac{1}{4} , and the y-intercept is 0

∴ The error is the slope is -4 and the correct is the slope is  -\frac{1}{4}

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6x-3=x+7 head d dish’s d dhdndn d zbdndnnd dhdjdd
klasskru [66]

Answer:

0.6

Step-by-step explanation:

6x - 3 = x + 7

6x + 3 = x + 3

6x = x + 10

6x = 10

6 ÷ 10 = 0.6

x = 0.6

5 0
3 years ago
Which is bigger? 1/3 foot or 5 inches? It can also be equal.
zhannawk [14.2K]

5 inches is bigger than 1/3 foot OR 1/3 foot is lesser than 5 inches. That is, 1/3 foot < 5 inches

4 miles is bigger than 7000 yards. That is, 4 miles > 7000 yards

8 yards is equal to 24 feet. That is, 8 yards = 24 feet

<h3>Calculating the value of a quantity </h3>

From the question, we are to determine which of the given quantities are bigger or equal

  • 1/3 foot or 5 inches

NOTE: 1 foot = 12 inches

If 1 foot = 12 inches

Then,

1/3 foot = 1/3 × 12

1/3 foot = 4 inches

∴ 5 inches is bigger than 1/3 foot. That is, 1/3 foot < 5 inches

  • 4 miles or 7,000 yards.

NOTE: 1 mile = 1760 yards

If 1 mile = 1760 yards

Then,

4 miles = 4 ×1760 yards

4 miles = 7040 yards

Hence, 4 miles is bigger than 7000 yards. That is, 4 miles > 7000 yards  

  • 8 yards or 24 feet

NOTE: 1 yard = 3 feet

If 1 yard = 3 feet

Then,

8 yards = 8 × 3 feet

8 yards = 24 feet

Hence, 8 yards is equal to 24 feet. That is, 8 yards = 24 feet

Learn more on Calculating the values of quantities here: brainly.com/question/400890

#SPJ1

5 0
2 years ago
From the sum of 3a^2−ab−2b^2 and 2a^2+5ab−3b^2 subtract a^2−3ab−4b^2
Lubov Fominskaja [6]
(3a^2-ab-2b^2) + (2a^2+5ab-3b^2) - (a^2-3ab-4b^2)

First we distribute the negative throughout the last polynomial:

(3a^2-ab-2b^2) + (2a^2+5ab-3b^2) + (-a^2+3ab+4b^2)

Combine like terms:

4a^2 + 7ab - b^2
3 0
3 years ago
At an animal shelter there are 15 dogs 12 cats 3 snakes and 5 parakeets. what percent of the number of cats is the number of sna
andrew-mc [135]
25% of the number of cats are snakes.
5 0
3 years ago
In a recent poll of 1,200 homeowners in the United States, one in five homeowners reports having a home equity loan that he or s
Aleks04 [339]

Answer:

Interval estimate for the proportion of all homeowners in the United States that hold a home equity loan lie between (.17033 , .22967 ) or 17% to 22.9%

Step-by-step explanation:

Given -

In a recent poll of 1,200 homeowners in the United States, one in five homeowners reports having a home equity loan that he or she is currently paying off.

If one in five homeowners reports having a home equity loan then for 1200 homeowners = \frac{1200}{5} = 240 homeowners reports having a home equity loan.

Sample proportion (\widehat{p}) = \frac{240}{ 1200} = 0.2

confidence coefficient = 0.99

(\alpha) = 1 - confidence coefficient  = 1 - 0.99 = .01

z_{\frac{\alpha}{2}} = z_{\frac{.01}{2}}  =  2.58

interval estimate for the proportion of all homeowners in the United States that hold a home equity loan

=  \widehat{p}\pm z_{\frac{\alpha}{2}}\sqrt\frac{{\widehat{p}( 1 - \widehat{p})}}{n}

     =  0.2\pm z_{\frac{.01}{2}}\sqrt\frac{{0.2( 1 - 0.2)}}{1200}

    = 0.2\pm 2.58\times \sqrt\frac{{0.2( 0.8)}}{1200}

    = 0.2\pm .02967

    = (0.2 - .02967 ) , (0.2 + .02967)

    = (.17033 , .22967 )

6 0
4 years ago
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