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dsp73
3 years ago
9

What is the y- intercept of the graph of 2x + y = -4?

Mathematics
1 answer:
Brrunno [24]3 years ago
8 0

First write the equation in slope-intercept form which is more commonly known as <em>y = mx + b</em> form where the <em>m </em>or the coefficient of the x term represents the slope of the <em>b</em> or the constant term represents the y-intercept.

Subtract 2x from both sides to get <em>y = -2x - 4</em>.

I put the x term first because that's how it is in y = mx + b form.

Now we can see that the <em>b</em> or the constant term is -4.

We can write this as the ordered pair (0, -4).

Keep in mind when writing a y-intercept as an ordered pair, your x-coordinate will always be 0 in the ordered pair.

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Solve the equation. Check your solution.
Varvara68 [4.7K]

Answer:

17/7

Step-by-step explanation:

2g+2(-8+2g)=1-g

2g-16+4g=1-g

6g-16=1-g

6g-(-g)-16=1

6g+g=1+16

7g=17

g=17/7

8 0
2 years ago
Zebras migrate in a circle with a round trip of about 300 miles. They travel at 64 km/h. How many hours does it take zebra to do
Tresset [83]

Answer:

7.5 hours (7 hours and 30 minutes)

Step-by-step explanation:

ok Let's start with 64km/h.

1.6 km=1 mile,

64÷1.6=40miles

so 64km/h changes into 40miles/hour.

Zebras's round trip =300miles,

300/40=7.5

so answer is 7.5 hours.

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3 years ago
A hiker climbed up from the bottom of a mountain. His elevation increased at a rate of 40 feet each hour. Which equation models
Nimfa-mama [501]

Answer:

I believe it is C

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
−104=4x−4(2x+16)<br> I need a whole number i keep messing up
kotykmax [81]

Answer:

x=10

Step-by-step explanation:

4 0
3 years ago
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Sam Kramer earns an annual salary of $38,900. He is paid semimonthly. His personal exemptions total $4826. The state income tax
Alisiya [41]

Step-by-step explanation:

we pay taxes of the income without the exemptions.

so, the tax-interresting amount is

38,900 - 4826 = $34,074

2% of the first $1000 = $20

$34,074 - 1000 = $33,074

3% of the next $3000 = $90

$33,074 - 3000 = $30,074

3.5% of the next $3000 = $105

$30,074 - 3000 = $27,074

4% of $27,074 = $1,082.96

so, in total he pays state taxes over a year

20+90+105+1082.96 = $1,297.96

now, he gets paid semimonthly, that means twice a month.

his salary but also his deductions (incl. tax deductions) are all split across these 24 paychecks per year.

so, each state income tax deduction is then

$1,297.96 / 24 = $54.08 on every paycheck.

8 0
2 years ago
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