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Step2247 [10]
3 years ago
15

The solution set x ≤ 2 or x ≥ 4 is consistent with an equation of the form

Mathematics
1 answer:
yawa3891 [41]3 years ago
6 0

Answer:

the answer is choice a your welcome

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Martin have a 32-foot fence around a square garden. There are 4 equal sections.Martin paint 13 of one section of the fence. What
a_sh-v [17]

Answer:

0.01923 foot

Step-by-step explanation:

<em>area painted of one section = 1/13×8 </em>

<em> area painted of one section= 0.6154 foot</em>

<em> f</em>ence  = 32 foot

<em> so, </em>

<em>a</em>rea painted of fence = 0.6154/32


8 0
3 years ago
1. a line with a slope of 1/3 passes through the point (3, 6) . which point also lies on this line?
valentina_108 [34]

1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:

  • y-6 = ⅓x - 1
  • y = ⅓x + 5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

  1. 3 = ⅓(6) + 5 -> 3 = 7, which is false.
  2. 6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
  3. -3 = ⅓(-3) + 5 -> -3 = 4, which is false.
  4. 3 = ⅓(-6) + 5 -> 3 = 3, which is true.

So, the answer is (4) (-6, 3)

2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:

  • y - 5 = 0.75x - 1.5
  • y = 0.75x + 3.5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

  1. 8 = 0.75(6)+3.5 -> 8 = 8, which is true.
  2. 9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
  3. 1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
  4. 2 = 0.75(6) + 3.5 -> 2 = 8, which is false.

So, the answer is (1) (6, 8).

3 0
2 years ago
The percent increase in Americans in prison for drug related offenses from 1980 to 2015 was 1048%. In 1980 the number of America
Natasha2012 [34]

Answer: There were 469,532 American prison for drug related offenses in 2015.

Step-by-step explanation:

Since we have given that

Number of Americans in prison for drug related offenses in 1980 = 40,900

Rate of increment in Americans in prison from 1980 to 2015 = 1048%

So, Number of Americans who were in prison for drug related offenses in 2015 is given by

\dfrac{100+1048}{100}\times 40900\\\\\dfrac{1148}{100}\times 40900\\\\=1148\times 409\\\\=469,532

Hence, there were 469,532 American prison for drug related offenses in 2015.

4 0
3 years ago
If f(x) = 4x + 8 and g(x) = (x+4,<br> what is (fºg)(12)?
svetlana [45]

Answer:

72

Step-by-step explanation:

f(x) = 4x+8\\g(x) = x + 4\\\\1. f(g(x)) = 4(x+4) + 8\\2. f(g(x)) = 4x + 16 + 8\\3. f(g(x))=4x + 24\\\\4. f(g(12)) = 4(12) + 24\\5. f(g(12)) = 48 + 24 = 72\\

To do these, you have to place the entire function inside the parent function's variables.

You are inputting the value of the function g(x) into f(x)

4 0
3 years ago
PLEASE HELP ME I NEED IT RN​
lapo4ka [179]

Answer:

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Step-by-step explanation:

From the given question, the proof can be completed as;

Statement                                          Reason

1. <2 and < 1 are complementary     (47)  c. given

   <3 and <1 are complementary

2. m<2 + m<1 = 90^{o}                             (48) b. definition of complementary angles

   m<3 + m<1 = 90^{o}

3. m<2 + m<1 = m<3 + m<1                 3. Substitution property

4. (49)  a, m<2 = m<3                         4. Subtraction property

5. <2 ≅ <3                                           (50) d. definition of congruent angles

Therefore,

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

5 0
3 years ago
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