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2 years ago

Graph the line y+3x=-3

Mathematics

1 answer:

ivanzaharov [21]2 years ago

3 0

Answer: y = -3x-3 (Choose values for x)

Step-by-step explanation:

1st change the equation to y = mx+b form

In order to change the equation to y = mx+b form subtract the 3x to both sides.
The equation now becomes y = -3x-3

2nd we can either choose values for x such has (-2,-1,0,1,2) and plug in those values into our equation y = -3x-3
For example, if we plug in x= -2 we get y= -3(-2)-3 which becomes y =3. We then plot the point (-2,3) because -2 is our x coordinate and 3 is our y coordinate.
Or we can plug the equation into a calculator that will graph the equation for you.

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35/8 + 10/3 = simplest form

Nimfa-mama [501]

Answer:

185/24

Step-by-step explanation:

Convert both to fractions with the same denominator first.

35/8= 105/24

10/3= 80/24

105/24+80/24

= 185/24

6 0

3 years ago

Read 2 more answers

that batch calls for 5 cups of flour and 4 teaspoons of vanilla if i use 6 teaspoons of vanilla how many cups will i need

Eva8 [605]

5 cups & 4 teaspoons
? cups & 6 teaspoons

2.5 cups is half of 5
2 is half of 4

you increased the recipe by 1/2

so for 6 teaspoons you will need 7.5 or 7 1/2 cups of flour b/c 5 + 2.5 = 7.5

ANSWER: 7 1/2

4 0

3 years ago

Solve | X-4| < 3 and graph the solution

Westkost [7]

Answer:

Add 4 to both sides

x<7

Step-by-step explanation:

3 0

3 years ago

4 1/2 ounces per 3/4 miles<br> _____ ounces per 1 mile

adelina 88 [10]

Answer: 6

Step-by-step explanation:

To get 3/4 miles to 1 mile we must take the reciprocal of the number and multiply it.

$\frac{3}{4}$ × $\frac{4}{3} =1$

We need to multiply the 4 1/2 ounces by 4/3 too

$4\frac{1}{2}$ × $\frac{4}{3} =6$

4 1/2 ounces per 3/4 miles

6 ounces per 1 mile

5 0

3 years ago

Read 2 more answers

When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 55 bat

aleksley [76]

The probability of accepting this shipment is 98%.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

Almost all such shipments will be accepted because the probability of having a sample with more than 3 defective batteries is very low.

The shipment will be accepted if at most 3 batteries don't meet specifications.

This can be modeled as a binomial distribution, where the sample size is n=55 and the probability of not meeting the specifications of any battery is p=0.02.

The shipment will be accepted if D ≤ 3.

The probability of this event is:

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P(D=X) = n!/(x!(n-x)!) pˣ(1-p)ⁿ⁻ˣ

P(D=0) = 55!/(0!(55-0)!) 0.02⁰(1-0.02)⁵⁵⁻⁰ = 1× 1 × 0.32 = 0.32

P(D=1) = 55!/(1!(55-1)!) 0.02¹(1-0.02)⁵⁴ = 54 × 0.02 × 0.33= 0.35

P(D=2) = 55!/(2!(55-2)!) 0.02²(1-0.02)⁵³ = 55 ×27 × 0.0004 × 0.34= 0.20

P(D=3) = 55!/(3!(55-3)!) 0.02³(1-0.02)⁵² = 25740× 0.0000008 × 0.35= 0.07

Then,

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P( D ≤ 3) = 0.32 + 0.35 + 0.20 + 0.07

P( D ≤ 3) = 0.98

Hence, the probability of accepting this shipment is 98%.

To learn more about the probability from the given link

brainly.com/question/24756209

#SPJ1

4 0

1 year ago

Graph the line y+3x=-3​

Graph the line y+3x=-3