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3 years ago

Please help me with this one

Mathematics

1 answer:

mylen [45]3 years ago

3 0

9514 1404 393

Answer:

y < -2x +3
y > 1/2x -2

Step-by-step explanation:

To find the equation of each boundary line, look for the y-intercept. Then find the rise and run to the next grid intersection to the right that is crossed by that line. The equation for the line is ...

y = mx + b . . . . . . m = rise/run = slope; b = y-intercept.

The lines are both dashed, so the inequalities will not include the "or equal to" case. For line (1), the shading is below the line, so the appropriate inequality symbol is <. For line (2), the shading is above the line, so the appropriate inequality symbol is >.

y-intercept = +3. m = -2/1 = -2

y < -2x +3

y-intercept = -2. m = 1/2

y > 1/2x -2

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katen-ka-za [31]

Answer:

Step-by-step explanation:

a² + b² = c²

a² + 9² = 15²

a² + 81 = 225

a² = 225 - 81

a² = 144

$\sqrt{a^2} =\sqrt{144}$

a = 12

8 0

3 years ago

Joey Chestnut is trying to break his own record for eating the most whole hot dogs in 101010 minutes. He needs to eat more than

anygoal [31]

Answer:

$9d+11\frac{1}{4}>72$

Step-by-step explanation:

We are supposed to write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record.

Let d represent the number of hot dogs Joey eats per minute for the next 9 minutes.

We have been given that after 1 minute, Joey has eaten $11\frac{1}{4}$ hot dogs.

Hot dogs eaten in next 9 minutes would be 9 times d that is $9d$ .

Total hot dogs eaten by Joey would be hot dogs eaten in 1 minute plus next 9 minutes: $9d+11\frac{1}{4}$ .

Since to break the record Joey needs to eat more than 72 hot dogs. We can represent this information in an inequality as:

$9d+11\frac{1}{4}>72$

Therefore, our required inequality would be $9d+11\frac{1}{4}>72$ .

3 0

3 years ago

For the diagram below, if < 4 = 4x - 2, and < 6 = 2x + 14, what is the value of x?

RUDIKE [14]

Applying the alternate interior angles theorem, the value of x is: D. 8.

<h3>What is the Alternate Interior Angles Theorem?</h3>

The alternate interior angles theorem states that interior angles that are alternate to each other along a transversal have equal measurement.

∠4 and ∠6 are alternate interior angles, therefore:

m∠4 = m∠6

Substitute

4x - 2 = 2x + 14

4x - 2x = 2 + 14

2x = 16

x = 16/2

x = 8 (option D).

Learn more about the alternate interior angles theorem on:

brainly.com/question/24839702

#SPJ1

3 0

2 years ago

Ratling [72]

Answer:

(-4,6) is the vertex

Step-by-step explanation:

because it's either the lowest or highest point on the graph.

7 0

3 years ago

Graph 24x+25=−6y+7 .

MrRa [10]

Okay, So you have 24x+25=6y+7

Step 1: Pull out like factors : 24x + 18 + 6y = 6 • (4x + y + 3)

Step 2: 4x+y+3 = 0

y-intercept = -3/1 = -3.00000

x-intercept = -3/4 = -0.75000

Slope = -8.000/2.000 = -4.000

And bam, you have a straight line

5 0

4 years ago