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3 years ago

Match the inequality to the graph of its solution.

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

7 0

case a) $c+7 \leq 3$

$c+7 \leq 3\\ c\leq3-7\\c\leq -4$

the solution is the interval-------> (-∞,-4]

the answer case a) in the attached figure

case b) $c-3 > 1$

$c-3 > 1\\c > 1+3\\c> 4$

the solution is the interval-------> (4,∞)

the answer case b) in the attached figure

case c) $c-7< 3$

$c-7< 3\\ c$

the solution is the interval-------> (-∞,10)

the answer case c) in the attached figure

Tema [17]3 years ago

3 0

The first graph is c. c - 7 < 3.
The second graph is a. c + 7 ≤ 3.
The third graph is b. c - 3 > 1.

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identify the equation that does not belong with the other three. explain your reasoning. 6+x=9 | 15= x+12 | x+9 =11 | 7+x=10

Katena32 [7]

Answer is x+9=11

6+x=9
x=3

15=x+12
x=3

7+x=10
x=3

x+9=11
x=2

So x+9=11 has a different x value than the rest of the equations. So it doesn't belong with the other three.

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3 years ago

Which equation is the equivalent form of 20(3)^5x = 820?

makvit [3.9K]

Answer:

x=ln(41)/ln(243)

Step-by-step explanation:

20(3)^5x=820

3^5x=820/20

3^5x=41

5x=ln(41)/ln(3)

x=(1/5)[ln(41)/ln(3)]

x=ln(41)/ln(3^5)

x=ln(41)/ln(243)

8 0

3 years ago

Three landmarks of baseballachievement are Ty Cobb’s batting average of 0.420 in 1911,Ted Williams’s 0.406 in 1941, and George B

harina [27]

Answer:

Ted Williams has the highest standardized score, hence Williams is the best of the three

Cobb is the second highest and hence, the better player

George Brett is third

Step-by-step explanation:

Given the data:

Decade : 1910 __ 1940 ____ 1970

Mean, μ: 0.266 __0.267 ___ 0.261

S/dev, σ : 0.0371 _ 0.0326 __ 0.0317

To compute the standard unit for batting averages, we obtain the standardized score for each of Cobb,Williams, and Brett.

Standardized score (Zscore) : (x - μ) / σ

Cobb, x = 0.420

Ted Williams, x = 0.406

George Brett, x = 0.390

COBB:

Zscore = (0.420 - 0.266) / 0.0371 = 4.1509

Ted Williams :

Zscore = (0.406 - 0.267) / 0.0326 = 4.2638

George, Brett = (0.390 - 0.261) / 0.0317 = 4.0694

Ted Williams has the highest standardized score, hence Williams is the best of the three

Cobb is the second highest and hence, the better player

George Brett is third

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

- Let y represent the width of a rectangle and let x represent the rectangle's lengu.

valentina_108 [34]

Answer:

Length: 21 cm and Width: 6cm

Step-by-step explanation:

Let $y$ be the width and $x$ length of the rectangle. We know:

$x = 4y -3$ -------- eq. 1

$54 = 2x + 2y$ (Perimeter of the rectangle) ------- eq. 2

Substitute equation 1 in equation 2:

$54 = 2(4y-3) + 2y\\54 = 8y - 6 + 2y\\54 + 6 = 8y + 2y\\60 = 10 y\\\\\frac{60}{10}= y\\y = 6$

Using the value of y, we find x.

$x = 4y - 3\\x = 4(6) -3\\x= 24 - 3\\x = 21$

4 0

3 years ago