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Given:

The inequalities are:

[tex]-2<x<3[/tex]

[tex]-2\leq x<2[/tex]

To find:

The integer values that satisfy both inequalities.

Solution:

We have,

[tex]-2<x<3[/tex]

[tex]-2\leq x<2[/tex]

For [tex]-2<x<3[/tex], the possible integer values are

[tex]x=-1,0,1,2[/tex]          ...(i)

For [tex]-2\leq x<2[/tex], the possible integer values are

[tex]x=-2,-1,0,1[/tex]        ...(ii)

The common values of x in (i) and (ii) are

[tex]x=-1,0,1[/tex]

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.

Answer:

63°

Step-by-step explanation:

To get the value of x we will use the Pythagoras theorem

hyp² = opp²+adj²

Given

hyp is the length of the ladder = 22ft

Adjacent is the distance from the base of the ladder to the wall = 10ft

Angle of elevation = x

Using the SOH CAH TOA identity

Cos theta = adjacent/hypotenuse

Cos x = 10/22

Cos x = 5/11

x = arccos(5/11)

x = arccos(0.4545)

x = 62.96°

Hence the best estimate of x is 63°

The graph of the equation is graph (D)

The equation of the graph is given as:

[tex]y- 4 = 3(x - 1)[/tex]

Add 4 to both sides of the equation

[tex]y = 3(x - 1) + 4[/tex]

Apply the distributive property

[tex]y = 3x - 3+ 4[/tex]

Evaluate the sum of -3 and 4

[tex]y = 3x +1[/tex]

The above means that, the graph of [tex]y- 4 = 3(x - 1)[/tex] has a slope of 3 and a y-intercept of 1

Hence, the graph of the equation is graph (D)

Read more about linear functions at:

https://brainly.com/question/15602982

Answer:

the second one ( - 3, -6)

Step-by-step explanation:

I used the method of substitution

Answer:

(-3, -6)

Step-by-step explanation:

Answer:

City B is 4 degrees colder than City A

Step-by-step explanation:

When in degrees negatives a much colder. So if the number is negative the higher the number the colder the tempeture.

Have a great day!

Hope this helps!

PLEASE MARK BRAINLIEST.

Answer:

A

Step-by-step explanation:

Try testing each graph by picking a point on the shaded region or none shaded region.

-1/5 and 6= y-intercept

4/5 and 2= slope

You may notice that it is in y-intercept form. So to find where the shaded region goes, test a coordinate and apply it to the equation, if the answer is false, than half of the line is not where the shaded region goes.

9514 1404 393

Answer:

  u = ±√(-m/(k+r+y))

Step-by-step explanation:

Subtract r, rearrange, then take the square root.

  [tex]\dfrac{m}{u^2}+r=-k-y \qquad\text{given}\\\\ \dfrac{m}{u^2}=-k-y-r\\\\-\dfrac{m}{k+r+y}=u^2\\\\ \boxed{u=\pm\sqrt{-\dfrac{m}{k+r+y}}}[/tex]

Answer: +/- sqrt(m/-k-y-r)

Step-by-step explanation:

Answer: The greatest number of bags Jason can​ fill = 17

Step-by-step explanation:

Given: Jason has 34 raspberry scones and 51 blackberry scones.

To make identical bags of scones as possible.

Each bag should have an equal number of raspberry scones and an equal number of blackberry scones.

The greatest number of bags Jason can​ fill = Greatest common divisor of 3

and 51.

= 17     [Since 34 = 2 x 17 , 51 = 3 x 17]

Hence, the greatest number of bags Jason can​ fill = 17

Answer:

- 2

Step-by-step explanation:

To rationalise multiply by its conjugate.

The conjugate of [tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] is [tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] then

([tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] )([tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] ) ← expand using FOIL

= ([tex]\sqrt{3}[/tex] )² - [tex]\sqrt{15}[/tex] + [tex]\sqrt{15}[/tex] - ([tex]\sqrt{5}[/tex] )²

= 3 - 5

= - 2

Answer:

The perimeter of the triangle is 30 cm.

The perimeter of the rectangle is also 30 cm.

Step-by-step explanation:

The perimeter of the triangle is 30 cm.

The perimeter of the rectangle is also 30 cm.

Answer:

translation left 5 units

Answer:

60.73cm

Step-by-step explanation:

10cm=diameter so raduis of circle=5cm

area of full circle=78.5398...

area of semicircle=39.2699...

area of square=100cm

100-39.26990817=60.73 cm

Answer:

the ratio of black mice*

Step-by-step explanation:

Answer:

160 feet

Step-by-step explanation:

In order to solve this, we need to realize that the mile is being divided into 33 equal parts. Therefore our operation should look like this:

5,280 (the number of feet in 1 mile) / 33

5,280/33=160

The posts are 160 feet apart from each other.

HTH :)

Answer:

b. -

Step-by-step explanation:

Note the rules of multiply/dividing negative numbers:

1) A positive number multiplied/divided by a positive number = a positive answer.

2) A positive number multiplied/divided by a negative number (and vice versa) = a negative answer.

3) A negative number multiplied/divided by a negative number = a positive answer.

~

Note the question.

The first part is multiplying a negative number with a negative number:

(-) * (-) = (+) , based on the rules given above.

Next, multiply the next number. Note that it is also a negative number:

(+) * (-) = (-) , based on the rules given above.

b. - is your answer.

~

Answer:

Tom will be paid $140 in 10 days

Step-by-step explanation:

Answer:

Tom will be paid 960$ is 10 days

Answer:

4x - 13

Step-by-step explanation:

( 6x - 4 ) - ( 2x + 8 )

The "-" sign outside of the parenthesis is equivalent to "-", hence one can distribute the "-" sign

( 6x - 4 ) - ( 2x + 8 )

6x - 4 - 2x - 8

Combine like terms

6x - 5 - 2x - 8

4x - 13

Answer:

Step-by-step explanation:

x+4

Step-by-step explanation:

Answer: the Y-axis

Step-by-step explanation:

y is swapped To negative

Answer:

im not sure how to explain it, but you should look up your workbook on slader then type in the page of the homework you're doing and the answers are right there

Step-by-step explanation:

Answer: It definitely depends  

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

just divid 25 into 1200

Answer:

Their race was 1/4 the length of Alex's 20km = 20 x 1/4 = 5 km

Alex than Deja and Jamie walked together : 20 - 5 = 15 km = 15000 m

Step-by-step explanation:

Answer:

Step-by-step explanation:

5/8

you need to add all numerators, same denominator

5/8 because the denominator is the same, so you can just add 1+1+1+1+1 and put that over 8 (confusing)

Answer:

1 day

Step-by-step explanation:

day if you're like mee because I will buy chips cards for games

Answer:

4

Step-by-step explanation:

Answer:

x=0 and x=5/2

Step-by-step explanation:

Combine like terms.

-2x=0

x=0/-2

x=0

-4x=-10

x=-10/-4

x=5/2

Answer:

x+21 y

Step-by-step explanation: