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koban [17]
3 years ago
12

What is the y-intercept of the function below? 2x - 3y = 12

Mathematics
2 answers:
AURORKA [14]3 years ago
4 0

Answer:

The slope is −23

Step-by-step explanation:

You can use the intercepts to graph the line. The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.

klio [65]3 years ago
4 0
(0,-4) is the y-intercept
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Jose can paint an entire house in seven hours and brandon can paint the same house in eight hours. Write an equation that can be
guajiro [1.7K]

Answer:

t/8 + t/7 = 1

Step-by-step explanation:

Given in the question that,

time require for Jose to paint the house = 7 hours

time require for Brandon to paint the house = 8 hours

Suppose t means Full house painted.

<h3>To solve the question we have to figure out how much each of them can paint in ONE hour.</h3>

7 hours----t

1 hour ---- t/7

8 hours----t

1 hour ---- t/8

<h3>Equation</h3>

t/8 + t/7 = 1 (in one hour)

(7t + 8t)/8(7) = 1

15t/56 = 1

15t = 56

t = 56/15

t = 3.73 hours

5 0
3 years ago
If (x + 1)(x-3) = 5, then which of the following statements is true?
bixtya [17]

Answer:

x=−2 or x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x2−2x−3=5

Step 2: Subtract 5 from both sides.

x2−2x−3−5=5−5

x2−2x−8=0

Step 3: Factor left side of equation.

(x+2)(x−4)=0

Step 4: Set factors equal to 0.

x+2=0 or x−4=0

x=−2 or x=4

5 0
4 years ago
Suppose triangle ABC will be dilated using the rule . What will be the distance from the center of dilation, Q, to the image of
Blababa [14]

Answer:

4

Step-by-step explanation:

The rule of dilation is D_{Q,\frac{2}{3}}. This means that each distance QX' is equal to \dfrac{2}{3}QX, where X is initial point and X' is its image after dilation.

Since QA=6, then

QA'=\dfrac{2}{3}\cdot 6=4.

6 0
3 years ago
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A trap to catch fruit flies uses a cone in a jar. The cone is shown with a height of 10 centimeters (cm) and a radius of 6 centi
Tresset [83]

Answer:

120 pi

Step-by-step explanation:

a. 1/3pi(6)^2(10)

just plug them into the calculator using pi.

b. pi is more accurate because you aren't round to 3.14. If you use 3.14 your answer will be rounded and not an exact number.

5 0
3 years ago
Choose the missing step in the given solution to the inequality −x − 10 &gt; 14 + 2x. −x − 10 &gt; 14 + 2x −3x − 10 &gt; 14 ____
Tresset [83]

Answer:

  −3x > 24

Step-by-step explanation:

Adding 10 to both sides of the inequality will give the missing step:

  -3x -10 +10 > 14 +10

  -3x > 24

8 0
3 years ago
Read 2 more answers
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