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3 years ago

(Fifty points.)

Mathematics

2 answers:

stich3 [128]3 years ago

7 0

the equation of a line in ' slope-intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

y = 5x + 3 is in this form with slope m = 5

function Q has equation y = 2x + 4

the slope of function P is 3 more than function Q

MArishka [77]3 years ago

3 0

The answer is A. 3 because 5 is the slope in the first minus 2 the slope in the second which equals 3.

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Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.

musickatia [10]

Answer:

d. c = 100; (x – 10)²

Step-by-step explanation:

Note that (x+a)²=x²+2ax+a².

In our case, 2a=-20, so 'a' must be -10.

Since c=a², and a=-10, c=(-10²)=100.

Since a=-10, the perfect square is (x – 10)²

3 0

3 years ago

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ehidna [41]

Answer:

x=13

Step-by-step explanation:

Switch sides:

2x−9=17

Add 9 to both sides:

2x−9+9=17+9

Simplify

2x=26

Divide both sides by 2:

2x/2 =26/2

Simplify to get the result.

x=13

8 0

3 years ago

From an industrial area 70 companies were selected at random and 45 of them were panning for expansion next year. Find 95% confi

Lana71 [14]

Answer:

Confidence limit = [52.8%, 75.2%]

Step-by-step explanation:

$P=\frac{45}{70}= 0.64$

$(1-P)=1-0.64=0.36$

$n= 70$

$P$ ± $z$ $\sqrt{\frac{P(1-P)}{n} }$

where the value $z$ will be taken from the z-table for 95% confidence interval

1-0.95= 0.05/2= 0.025

0.95+0.025= 0.0975

From the z-table the value of $z$ corresponding to 0.0975 is 1.96

$0.64$ ± $1.96$ $\sqrt{\frac{0.64*0.36}{70} }$

$0.64$ ± $1.96$ $(0.057)$

$0.64$ ± $0.112$

$64%$ % ± $11.2$ %

so the confidence interval is

$64+11.2=75.2$ %

$64-11.2=52.8$ %

$[52.8, 75.2]$

8 0

3 years ago

Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?

Mrrafil [7]

Answer:

x>-3

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Jimmy's costume requires ⅞ + ½ + 1 3/4 yards of fabric. His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric tha

liq [111]

Answer:

The correct answer is fabric Jimmy's sister needs = $\frac{73}{8}$ × fabric Jimmy needs = $\frac{73}{8}$ × $\frac{25}{8}$ yards of fabric.

Step-by-step explanation:

Jimmy's costume requires ⅞ + ½ + 1 $\frac{3}{4}$ yards of fabric = $\frac{7}{8} +\frac{4}{8} + \frac{14}{8} = \frac{25}{8}$ yards.

His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs = 3× ( $\frac{21}{24} + \frac{12}{24} + \frac{40}{24}$ ) yards of what Jimmy needs = $\frac{73}{8}$ yards of what Jimmy needs.

The relationship between how much fabric Jimmy needs and how much fabric his sister needs is given by

Fabric Jimmy's sister needs = $\frac{73}{8}$ × fabric Jimmy needs = $\frac{73}{8}$ × $\frac{25}{8}$ yards of fabric.

7 0

3 years ago