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Maslowich
3 years ago
14

Kelsey is solving the inequality 17+4<9 17 + 4 x < 9 . To solve the inequality, she begins by solving the equation as show

n. Which number line represents the solution to the inequality? 17 + 4 x = 9. Subtract 17 from both sides. 4 x = negative 8. Divide both sides by 4. X = negative 2. CLEAR CHECK A number line going from negative 10 to positive 10. A closed circle is at negative 2. A number line going from negative 10 to positive 10. Closed circles are at negative 4, negative 3, negative 2, negative 1, 0. A number line going from negative 10 to positive 10. An open circle is at negative 2. The line is shaded to the right of the circle. A number line going from negative 10 to positive 10. An open circle is at negative 2. The line is shaded to the left of the circle.
Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle (since the sign is "left than")

Step-by-step explanation:

Given the inequalities

17+4x < 9

Subtract 17 from both sides

17+4x -19 < 9 - 17

4x < -8

Divide both sides by 4

4x/4 < -8/4

x < -2

To represent the solution on a number line, an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle.

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Evaluate the expression.<br><br> -2 + 49 divided (-7)
Ann [662]

Answer:

-9

Step-by-step explanation:

+49/-7=-7

-2-7=-9

3 0
3 years ago
A store allows customers to fill their own bags of candy. Terri decides she only wants jelly beans and chocolate drops. Jelly be
NISA [10]
Jelly beans - $0.98 per pound
chocolate drops - $0.67 per pounds
Terri's bag = 2.1 pounds and $1.56

p = represents the pounds jelly beans.
c = represents the pounds in chocolate drops

p + c  = 2.1
0.98p + 0.67c = 1.56

c = 2.1 - p  ; number of pounds of chocolate drops

0.98p + 0.67(2.1 - p) = 1.56
0.98p + 1.41 - 0.67p = 1.56
0.98p - 0.67p = 1.56 - 1.41
0.31p = 0.15
p = 0.15/0.31
p = 0.48 pounds of jelly beans

c = 2.1 - 0.48
c = 1.62 pounds of chocolate drops.
6 0
3 years ago
Read 2 more answers
11 more than five if a certain number is twenty more than 2 times of that number. what is the number?
Thepotemich [5.8K]
11 more than five of a certain number would be written as 5x+11 and it is (means equal to) twenty more than two times that number, which would be 2x+20. So the equation would be
5x+11=2x+20
-2x -2x (get the x's on one side)
3x+11=20
-11 -11 (get the numbers on one side)
3x=9
/3 /3 (divide by 3, so you can get the x by itself)
X=3 (the number is 3)
4 0
3 years ago
Help i need an answrrrrrrr please asap
Elanso [62]

Answer:

y=\frac{5}{6}x-2

Step-by-step explanation:

Using the formula rise/run I calculated the slope. Then I saw the line passes through the point in the y axis -2. So the equation would be y=5/6x-2

6 0
3 years ago
The focal length, F, in a camera is given by the following function, where d is the distance from the lens in the camera to the
maria [59]
You are asked to solve the equation given for d. As it is a proportion you can cross multiply and then isolate the d.

F= \frac{2.24d}{d+2.24}
F(d+2.24)=2.24d
Fd+2.24F=2.24d

Next factor out d to obtain

2.24F=d(2.24-F)
d= \frac{2.24F}{2.24-F}

Using function notation: G(d)= \frac{2.24F}{2.24-F}

3 0
3 years ago
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