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3 years ago

Graph the inequality. -6 ≤y + 2x < 15

Mathematics

1 answer:

omeli [17]3 years ago

6 0

Inequalities help us to compare two unequal expressions. The correct option is B.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality -6 ≤y + 2x < 15 can be broken into two small inequality, as shown below.

-6 ≤y + 2x
y + 2x < 15

Now, if we plot the inequality as shown below, then the area in which both the shaded region overlap is the area of the this inequality.

Hence, the correct option is B.

Learn more about Inequality:

brainly.com/question/19491153

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please help me, I'm stuck on the second one. Also for i) i got angle ABD because angles in a semicircle measures 90 degree and

True [87]

Answer:

DA is diameter and AX is tangent to circle

Your answer is correct

m∠ABD = 90°, m∠DAX = 90°

ii)

Given m∠BAX = 42° and ∠DAB is complementary with BAX ⇒

m∠DAB = 90° - 42° = 48°

DC = BC ⇒ intercepted arcs are same ⇒

∠CDB = ∠BDC

mDC = mCB ⇒ mDCB = ∠DAB = 48° ⇒

m∠CDB = m∠BDC = 1/2*48 = 24°

iii)

∠CBA

∠CBA is supplementary with ∠ADC as opposite angles of cyclic quadrilateral (∠ADB = ∠BAX = 42°)

m∠ADC = m∠ADB + m∠CDB = 42° + 24° = 68°
m∠CBA = 180° - m∠ADC = 180° - 68° = 112°

∠BAE

EA║CB and AB is transversal ⇒ CBA and BAE are supplementary angles:

m∠BAE = 180° - 112° = 68°

∠DCE

∠DCE = ∠DCB - ∠BCE

m∠DCB = 180° - m∠DAB = 180° - 48° = 132°
m∠BCE = 180° - m∠BAE = 180° - 68° = 112°
∠DCE = 132° - 112° = 20°

5 0

3 years ago

Which answers show ways to make 5,036?

DerKrebs [107]

5,035+1=5,036. Idk the question issuing specific enough. There can be millions of ways to get 5,036.

3 0

4 years ago

How much more is 1.8 • 10^11 greater than 7.2 • 10^10

Rasek [7]

Answer:

1.8.10=1.80000000000

7.2.10=7.2000000000

Step-by-step explanation:

6 0

3 years ago

Write the slope-intercept form of the equation of each line given the slope and y-

rewona [7]

Answer:

1x - y + 3 = 0

Step-by-step explanation:

y = 1(x) + 3

y = 1x + 3

1x - y + 3 = 0

3 0

3 years ago

(6(1) = -5 1) Find (4) in the sequence given by (6(n) = b(n − 1) +9

Sloan [31]

Answer:

f(4) = 22

Step-by-step explanation:

I think that you type wrongly.

we have f(1) = -5

and f(n) = f(n-1) + 9

Find f(4)

Then

with n= 2 we have f(2) = f(1) + 9 = - 5+ 9= 4

with n= 3 we have f(3) = f(2) + 9 = 4 + 9= 13

and finally with n= 4 we find f(4) = f(3) + 9 = 13+ 9= 22

So f(4) = 22

Hope you understand.

8 0

3 years ago

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