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3 years ago

[Algebra 1]

Mathematics

1 answer:

Crazy boy [7]3 years ago

7 0

Slope formula is y=mx+b. m is the slope and b is the y-intercept. You can plug the coordinates that are given, (-3,-3), to find the y-intercept.

y=-3/4x+b is the equation you have so far. Plug in (-3,-3):

-3=-3/4(-3)+b

Multiply -3/4*-3.

-3=9/4+b

Subtract 9/4 from both sides.

-21/4=b

Equation: y=-3/4x-21/4

-21/4 equals -5.25, so your y-intercept would be (0,-5.25). That is the first point that you can plot on your graph.

After this, to graph the rest of the equation, you need to use your slope, -3/4. Every point will be down 3, right 4 from the one before it. In this case, your next point to graph would be (4,-8.25). You can also find what the coordinates would be in the opposite direction by going up 3, and left 4 from the original y-intercept. In this case, the coordinates would be (-4, -2.25)

Graph the points: (0,-5.25), (4,-8.25), and (-4, -2.25). Connect all the points to form your line. Normally, graphing two or three points should be enough!

I hope this helps :)

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What is the value for y? Enter your answer in the box. y=

serious [3.7K]

Answer:

$y =112$

Step-by-step explanation:

Given

The attached triangle

Required

Find y

The attached triangle is isosceles; so:

$x - 5=34$

Also, we have:

$y + x - 5 + 34=180$ --- angles in a triangle

Substitute: $x - 5=34$

$y + 34 + 34=180$

Collect like terms

$y =- 34 - 34+180$

$y =112$

5 0

3 years ago

Which of the following fractions is greater than -4/5 but less than -3/4

choli [55]

Answer:

B. -19/25

Step-by-step explanation:

You are looking for an answer that is greater than -4/5 (which is equal to -0.80) but less than -3/4 (which is equal to -0.75). So, you can easily convert the fractions to decimals by dividing.

-33/50 = -0.66, which is greater than -0.75, so it can be eliminated.

-19/25 = -0.76, which fits our parameters, so it is the answer.

-19/20 = -0.95, which is less than -0.80, so it can be eliminated.

-7/10 = -0.70, which is greater than -0.75, so it can be eliminated.

7 0

3 years ago

Joey sells cars at Orange City Ford. He earns $350 a week plus $200 per car he sells. If he earned $1550 last week, how many car

Vladimir [108]

Answer:

Joey sold 6 cars

Step-by-step explanation:

Joey earns $350 per week + $200 per car he sells

The number of cars that he sold last week is unknown, so represent it with a variable, x.

Write an equation

$350 + $200x = $1,550

Subtract $350 from both sides of this equation

$200x = $1200

Divide both sides of the equation by 200

x = 6

Joey sold 6 cars

Hope this helps :)

7 0

3 years ago

Can someone please help me with all 5 of these questions? You don't have to answer all 5 but I would appreciate it if you answer

cupoosta [38]

12 is a
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7 0

3 years ago

Read 2 more answers

A recent survey by the New Statesman on British social attitudes asked respondents if they believe that inequality is too large.

Reika [66]

Answer:

(a) The probability that in a a sample of six British citizens two believe inequality is too large is 0.0375.

(b) The probability that in a a sample of six British citizens at least two believe inequality is too large is 0.9944.

Step-by-step explanation:

The random variable X can be defined as the number of British citizens who believe that inequality is too large.

The proportion of respondents who believe that inequality is too large is, p = 0.74.

Thus, the random variable X follows a Binomial distribution with parameters n and p = 0.74.

The probability mass function of X is:

$P(X=x)={n\choose x}\ 0.74^{x}(1-0.74)^{n-x};\ x=0,1,2,3...n$

(a)

Compute the probability that in a a sample of six British citizens two believe inequality is too large as follows:

$P(X=2)={6\choose 2}\ 0.74^{2}(1-0.74)^{6-2}\\=15\times 0.5476\times 0.00456976\\=0.03753600864\\\approx 0.0375$

Thus, the probability that in a a sample of six British citizens two believe inequality is too large is 0.0375.

(b)

Compute the probability that in a a sample of six British citizens at least two believe inequality is too large as follows:

P (X ≥ 2) = 1 - P (X < 2)

= 1 - P (X = 0) - P (X = 1)

$=1-[{6\choose 0}\ 0.74^{0}(1-0.74)^{6-0}]-[{6\choose 1}\ 0.74^{1}(1-0.74)^{6-1}]\\\\=1-[1\times 1\times 0.000308915776]-[6\times 0.74\times 0.0011881376]\\\\=1-0.00031-0.0053\\\\=0.99439\\\\\approx 0.9944$

Thus, the probability that in a a sample of six British citizens at least two believe inequality is too large is 0.9944.

(c)

Compute the probability that in a a sample of four British citizens none believe inequality is too large as follows:

$P(X=0)={4\choose 0}\ 0.74^{0}(1-0.74)^{4-0}\\=1\times 1\times 0.00456976\\=0.00456976\\\approx 0.0046$

Thus, the probability that in a a sample of four British citizens none believe inequality is too large is 0.0046.

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3 years ago