MATHEMATICS HIGH SCHOOL

What is the y-intercept of the line described by the equation below?

y = 7x + 4

Answers

Answer 1
Answer:

The y-intercept is 4.

What is linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

GIven equation,

y = 7x+4  

Comparing to the equation of Line y=mx+b,

Whereas the y-intercept is the b.

So, 7 is the slope and 4 is the y-intercept

Hence the y-intercept is 4.

Learn more about linear equation

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Answer 2
Answer: The y-intercept is where the graph crosses the y-axis. In the equation y=mx+b, the y-intercept is the b. So in y=7x+4, the y-intercept would be positive 4, or the ordered pair (0,4).

Related Questions

Jael has a monthly budget of x dollars. She spends $1,500 on her mortgage every month. One-fourth of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?A. y=1500+x/4B. y=(x-1500)/4C. y=1500-x/4D.y=(x+1500)/4And show work so I could understand!
A pink crayon is made with 12 mL of red wax for every 5 mL of white wax.Which of the following wax mixtures will create the same shade of pink?(A) 10 mL of red wax mixed wit 24 mL of white wax(B) 48 mL of red mixed with 12 of white wax(C) 13 mL of red mixed with 6 mL of white wax(D) 36 mL of red mixed with 15 mL of white wax(E) 60 mL of red mixed with 24 mL of white wax
Can you express 9/9 as a mixed number
Sqrt 10 times sqrt 20
What is the slope of this graph?

The sum of 3 consecutive even numbers is 42. The sum can be respresented by n+(n+2)+(n+4)=42. What does n represent?

Answers

Answer:

13

Step-by-step explanation:

n+(n+2)+(n+4)=42

3n+6=42

3n=42-6=36

3n=36

n=13

13+14+15=42

What are the solutions to the quadratic equation 4x^2 = 64? A. x = −16 and x = 16
B. x = −8 and x = 8
C. x = −4 and x = 4
D. x = −2 and x = 2

Answers

Answer:

C

Step-by-step explanation:

Given

4x² = 64 ( divide both sides by 4 )

x² = 16 ( take the square root of both sides )

x = ± √(16) = ± 4

Solutions are x = - 4 and x = 4 → C

Which type of triangle is formed with the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices?

Answers

We will have to use the distance formula in order to determine the lengths of each side of the triangle.

Distance formula: \sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2) }

Let's calculate AB first:
A (1, 7) and B (-2, 2)
A: x1 = 1 and y1 = 7
B: x2 = -2 and y2 = 2

so
\sqrt{(-2 - 1)^(2) + (2 - 7)^(2) }
\sqrt{(-3)^(2) + (-5)^(2) }
√(9 + 25 )
AB = √(34) or (rounded to the nearest tenth) ≈ 5.8

Now let's do BC:
B: x1 = -2 and y1 = 2
C: x2 = 4 and y2 = 2

So
\sqrt{(4 - -2)^(2) + (2 - 2)^(2) }
\sqrt{(6)^(2) + (0)^(2) }
BC = √(36 ) or 6

Now let's do CA
C: x1 = 4 and y1 = 2
A: x2 = 1 and y2 = 7

So
\sqrt{(1 - 4)^(2) + (7 - 2)^(2) }
\sqrt{(-3)^(2) + (5)^(2) }
√(9 + 25)
CA = √(34) or (rounded to the nearest tenth) ≈ 5.8

So let's recap:

AB ≈ 5.8
BC = 6
CA ≈ 5.8

So AB and AC are the same length while BC is .2 units longer which means this is an isosceles triangle.

At a restaurant, you eat 2 taco salads and drink two glasses of ice tea. Your friend eats 1 taco salad and drinks 1 glass of ice tea. The restaurant charges you $11 and your friend $6.50. Can you determine the prices of taco salads and ice tea? Explain.

Answers

Set up a system of equations that represent x as taco salads and y as iced tea:
2x + 2y = 11 (you)
x + y = 6.50 (your friend)
Solve the system of equations by solving one of the equations for a variable:
x+y = 6.50 (I solved for y):
y = 6.50 - x.
Plug this equation into the y of the first equation:
2x + 2(6.50 - x) = 11
Solve for x:
2x + 13 - 2x = 11
2x cancels out:
13 = 11
No solution, so it is not possible to determine the prices of the items.

In circle F, the measure of ∠AFE is equal to 120° and the measure of arc BD is equal to 20°.What is the measure of ∠C?



100°

40°

60°

50°

Answers

Answer:

40

Step-by-step explanation:

AFE=120 so arc AE is also 120

those 3 angles add up to 180 and 180-120-20=40

The measure of ∠C is 40°.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Angle measure of central angle is equals to measure of intercepted arc.

External angle formed outside a circle,

= Half the difference of the major and minor arc =

Angle measure of AFE

= arc AE = 120°

Thus:

m∠C = 1/2(120 - 40)

m∠C = 40°

So, the angle measure of C is 40°

Therefore, 40° is the measure of ∠C.

To learn more about the angle measure;

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HELLLPPP!y = -1/2x^2 + 2
y = -2x^2 + 3
y = -3/4x^2
y = -4/5x^2 - 5

For the quadratic equations shown here, which statement is true?

A) The graphs open upward.
B) The graphs open downward.
C) The graphs are symmetric about the x-axis.
D) The graphs are listed from narrowest to widest.

Answers

The correct answer is this one: "B) The graphs open downward. " Negative quadratic functions will give you a downward graph.

The equations 
y = -1/2x^2 + 2
y = -2x^2 + 3
y = -3/4x^2
y = -4/5x^2 - 5

are all negative. So they are facing downward.
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