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asambeis [7]
3 years ago
7

Which values from the given replacement set make up the solution set of the inequality? 2b–4≥2 ; {1,2,3,4} {1,2} {3,4} {1,2,3} {

2,3,4}
Mathematics
2 answers:
Ksenya-84 [330]3 years ago
8 0
Simply sub in the points from each set and solve to see if they are greater than or equal to 2
2*1-4=-2 NO
2*2-4=0 NO
2*3-4=2 YES

Therefore, any numbers 3 or above make up the solution; the answer is {3, 4}

Hope this helps!
mote1985 [20]3 years ago
8 0

Answer: {3,4} good luck!! :^)

Which values from the given replacement set make up the solution set of the inequality?

2b–4≥2 ; {1,2,3,4}  

{1,2} No.

{3,4} Yes!

{1,2,3} No.

{2,3,4} No.

Your answer should be 3,4 hope it helps and good luck!

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In the figure points A B C D and E are collinear. If AE = 38 and BD = 15
fredd [130]

Answer:

D. 30.5

Step-by-step explanation:

Given that A, B, C, D, and E are collinear,

AE = 38,

BD = 15, since segment BC = CD = DE, therefore

BD = ⅔ of BE

15 = ⅔*BE (substitution)

Solve for BE

Multiply each side by 3

15*3 = ⅔*BE*3

45 = 2*BE

Divide both sides by 2

45/2 = BE

22.5 = BE

BE = 22.5

Find AB:

AB + BE = AE (segment addition postulate)

AB + 22.5 = 38 (Substitution)

AB = 38 - 22.5 (Subtracting 22.5 from each side)

AB = 15.5

Find length of segment AD:

AB + BD = AD (segment addition postulate)

15.5 + 15 = AD (Substitution)

30.5 = AD

AD = 30.5

6 0
3 years ago
Compared to its 'parent' function f(x)=x^2, describe the changes if f(x)=-x^2-3
Morgarella [4.7K]

Answer:

It is inverted and shifted down 3 units.

Red is f(x) = x^2

Purple is f(x) = -x^2 -3

Step-by-step explanation:

5 0
3 years ago
Which of the following is an equation of the line that passes through the point (−2, 3) and is perpendicular to the graph of the
Ludmilka [50]

The equation of the line is y=-\frac{1}{3}+\frac{7}{3}

Explanation:

The given equation is y=3 x-2

<u>Slope:</u>

Since, the equation of the line is perpendicular to the equation y=3 x-2, then, the slope is given by

m=-\frac{1}{3}

Hence, the slope is m=-\frac{1}{3}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the point (-2,3) and the slope m=-\frac{1}{3}, in the above formula, we get,

y-3=-\frac{1}{3}(x+2)

Simplifying, we get,

y-3=-\frac{1}{3}x-\frac{2}{3}

     y=-\frac{1}{3}x-\frac{2}{3}+3

     y=-\frac{1}{3}+\frac{7}{3}

Therefore, the equation of the line is y=-\frac{1}{3}+\frac{7}{3}

8 0
3 years ago
£864.00 to be accrued<br> after £800 is invested with<br> 2% pa simple interest.
Vsevolod [243]

Answer: 4 years

Step-by-step explanation:

Your question isn't complete but I believe that you want to calculate the number of years. This will be:

Simple Interest = PRT/100

where,

Interest = 864 - 800 = 64

Principal = 800

Rate = 2%

Therefore, 64 = 800 × 2 × T /100

Cross multiply

64 × 100 = 1600T

6400 = 1600T

T = 6400/1600

T = 4

Therefore, time will be 4 years

6 0
2 years ago
ben walks at a rate of3 miles per hour. he runs at a rate of 6 miles per hour. in one week, the combined distance that he walks
Ainat [17]
3W+6R=210

For R:25
3W+6(25)=210
3W=150=210
3W=60
W=30
8 0
3 years ago
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