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RUDIKE [14]
10 months ago
14

Solve for a and graph the solution on the number line below.

Mathematics
1 answer:
oksian1 [2.3K]10 months ago
7 0

Solve for x and graph the solution on the number line below.

$$-x-5 \geq 1 \text { or }-x-5 < -8$$

$$-x-5 \geq 1$$

Add 5 to both sides

$$-x-5+5 \geq 1+5$$

Simplify

$$-x \geq 6$$

Multiply both sides by - 1 (reverse the inequality)$(-x)(-1) \leq 6(-1)$

Simplify

$$x \leq-6$$

$-x-5 < -8$

Add 5 to both sides

$-x-5+5 < -8+5$

Simplify

$-x < -3$

Multiply both sides by $-1$ (reversing the inequality)

$(-x)(-1) > (-3)(-1)$

Simplify

$x > 3$

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different individuals, it is prone to misunderstanding in public discourse. However, certain distinctions are universal.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Learn more about inequalities brainly.com/question/20383699

#SPJ9

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An advertising company is designing a new logo that consists of a shaded triangle inside a parallelogram.What is the area, in sq
tatyana61 [14]
<h2>Explanation:</h2><h2 />

The complete question is shown in the figure below. As you can see one square units is well shown in the graph. So we can conclude that the distance between two consecutive points is 1 unit. If so, then we can calculate the area of the parallelogram as follows:

A=b\times h \\ \\ A:Area \\ \\ b:Base \\ \\ h:Height \\ \\ \\ CB=b \\ \\ AB=h

Then, finding CB by Pythagorean Theorem:

CB=\sqrt{6^2+4^2} \\ \\ CB=2\sqrt{13}

And:

AB=4

Therefore:

A=(2\sqrt{13})(4) \\ \\ \boxed{A=8\sqrt{13} \ units^2}

6 0
3 years ago
Find the number of 4-digit numbers that contain exactly two even and two odd digits.
Dvinal [7]

Answer:

2,435

Step-by-step explanation:

find two even and two odd

7 0
3 years ago
Which ordered pair is not in the solution set of
Fed [463]

Answer:

the pair that is not a solution is d

Step-by-step explanation:

5 > 2(2) + 1

5 > 4 + 1

5 > 5

it is equal to and not greater than

6 0
2 years ago
Read 2 more answers
Please help asap!!!
sp2606 [1]

Answer:

y=\frac{1}{6} (x+5)^2-4.5

y=\frac{-1}{20} (x-10)^2+1

Step-by-step explanation:

focus at (-5, -3), and directrix y = -6

Directrix y=-6 so its  a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

(h,k) is the center

P is the distance between focus and vertex

distance between focus and directrix = 2p

distance between -3  and y=-6 is 3

2p = 3

p = 3/2 or p = 1.5

Focus is (h, k+p)

given focus is (-5, -3) so h= -5  and k+p = -3

k+p=-3, plug in 1.5 for p

k + 1.5 = -3

subtract 1.5 on both sides

k = -4.5

(x-h)^2 = 4p(y-k)

(x+5)^2= 4(1.5) (y+4.5)

(x+5)^2= 6(y+4.5)

divide by 6 on both sides

then subtract 4.5 on both sides

y=\frac{1}{6} (x+5)^2-4.5

focus at (10, -4), and directrix y = 6.

Directrix y=6 so its  a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

distance between focus and directrix = 2p

distance between -4  and y=6 is -4-6=-10

2p = -10

p = -5

Focus is (h, k+p)

given focus is (10, -4) so h= 10  and k+p = -4

k+p=-4, plug in 5 for p

k - 5 = -4

add 5 on both sides

k = 1

(x-h)^2 = 4p(y-k)

(x-10)^2= 4(-5) (y-1)

(x-10)^2= -20(y-1)

divide by -20 on both sides and add 1 on both sides

y=\frac{-1}{20} (x-10)^2+1


8 0
3 years ago
Y = 5x +7<br> y = 2x + 4<br><br> systems of equations
ratelena [41]
I think the answer is 1
7 0
2 years ago
Read 2 more answers
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