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dedylja [7]
1 year ago
12

Which of the following inequality should be graphed with a dashed line? Select all that apply.

Mathematics
1 answer:
AURORKA [14]1 year ago
7 0

Answer:

  B, D

Step-by-step explanation:

Any inequality that does not include the "or equal to" case will be graphed with a dashed line.

<h3>Application</h3>

The "or equal to" case is included when the inequality symbol is one of ≤ or ≥. When symbols > or < are used, the boundary line of the solution space is dashed (or the end point on the number line is an open circle).

The inequalities that will be graphed with a dashed line are ...

  • 2x -4y < 12 . . . . choice B
  • x +7 > -1 . . . . . . .choice D

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Write an equation in point-slope form of the line that passes through the given point and has the given slope. (3, 2); m = 2/3
77julia77 [94]

Answer:

y - 2 = \frac{2}{3}(x-3)

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Slope: \frac{2}{3}

Point: (3, 2) = (x1, y1)

To write the equation in point-slope form, we need to know the values of the slope and one point. Since we've already been given those values, all we have to do is input them into the equation:

y - y1 = m(x - x1)

y - 2 = \frac{2}{3}(x-3)

The equation in point-slope form is: y - 2 = \frac{2}{3}(x-3)

4 0
2 years ago
What is the value of h(-7)<br><br> h(x) =|3x| -1
Art [367]

Answer:

20

Step-by-step explanation:

h(-7) just means that inside the x value, you replace the x with a -7.

h(-7) = |3x| - 1

h(-7) = | 3(-7)| - 1

h(-7) = | -21 | - 1

NOTE: -21 is inside |x|, those straight lines mean absolute value. No matter what, any negative number would turn into a positive one. And if it’s posititve, then it stays positive.

h(-7) = 21 - 1

h(-7) = 20

6 0
3 years ago
Marissa wants to babysit to earn some extra money. She already has $250 in her bank account. The equation f(x) = 22x + 250 can b
sineoko [7]

Answer:

22 represents how much she gets paid by the hour

8 0
3 years ago
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What method would you choose to solve the equation 2x2 – 7 = 9? Explain why you chose this method.
Kisachek [45]
<span>This is a quadratic equation . We order to equate to zero

</span>2x²<span> – 7 = 9  
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2x² - 7-9 = 0
2x² - 16 = 0

This equation is a binomial
2* (x² - 8) = 0
<span>We choose the simplest method . The equation with practice it can be calculated in the memory
</span><span>
The product is equal to 0 if one of the factors is zero
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2≠0  ∨     x² - 8 = 0
               x² = √8
               x = √8     ∨  x= - √8

Answer : x = √8 ∨ x = -√8
5 0
3 years ago
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The diameter of a iron sphere is 8 cm. It is beaten and drawn into a wire with a diameter of 2 mm. Find the length of the wire.
djyliett [7]

Answer : The length of the wire is, 8533 cm

Step-by-step explanation :

As the iron sphere is beaten and drawn into a wire. That means, their volume will be equal.

Volume of iron sphere = Volume of cylindrical wire

The formula will be:

\frac{4}{3}\pi r_1^3=\pi r_2^2h

where,

r_1 = radius of sphere = \frac{Diamtere}{2}=\frac{8cm}{2}=4cm

r_2 = radius of cylindrical wire = \frac{Diamtere}{2}=\frac{2mm}{2}=1mm=0.1cm

h = height of cylindrical wire or length of wire

Now put all the given values in the above formula, we get:

\frac{4}{3}\pi r_1^3=\pi r_2^2h

\frac{4}{3}\times r_1^3=r_2^2h

\frac{4}{3}\times (4)^3=(0.1)^2h

h=8533.33cm\approx 8533cm

Therefore, the length of the wire is, 8533 cm

6 0
3 years ago
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