MATHEMATICS HIGH SCHOOL

Solve the equation: 9x − 2 = 4(x + 3)14

13


14

9


10

5


14

5

Answers

Answer 1
Answer: 9x − 2 = 4(x + 3)
Use PEMDAS
9x - 2 = 4(x + 3)
9x - 2 = 4x + 12
add 2 to both sides
9x = 4x + 14
subtract 4x from both sides
5x = 14
divide both sides by 5
x = 14/5
x = 2  4/5

Hope this helps!

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Jenny is on the local swim team for the summer and has swim practice four days per week. The schedule is the same each day. The team swims in the morning and then again for 2 hours in the evening. If she swims 20 hours per week, how long does she swim each morning?

Answers

Answer:

Number of hours Jenny swims each morning = 3 hours

Step-by-step explanation:

Let Jenny swims 'x' hours in the morning each day.

She swims 2 hours in the evening too.

Total hours she swims each day = (x + 2) hours

If her team swims 4 hours per week then number of hours she swims = 4(x + 2)

If she swims 20 hours in a week then,

4(x + 2) = 20

(x + 2) = 5

x = 5 - 2

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Therefore, Jenny swims 3 hours each morning.

Is 1/3 closer to 0 or 0.5

Answers

Answer:

its closer to 0.5

Step-by-step explanation:

if you change 1/3 to a decimal its going to be 0.333333

0.33333 is closer to 0.5

Answer:

0

Step-by-step explanation:

1/3 is 1 part of 3.

0.5 is half of 1.

1/3 is closer to 0.

-1 1/5 + -3/5 in simplest form

Answers

Answer:

-1 4/5

Step-by-step explanation:

In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction 3  5, the numerator is 3, and the denominator is 5. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5  8 as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.

Write the vertex form equation for this parabola: Focus (3,-9), Directrix X=-3

Answers

Y=KX+M
-9=(-3/9)*-3+m
-9=1+M
M=-10

Y=(-3/9)-10 is the answer

The seventh term of an arithmetic sequence is 21, the tenth term is 126. The first term is

Answers

Hi,
a_(10)=a_0+10*r\na_7=a_0+7*r\na_(10)-a_7=3\ \Rightarrow 126-21=3r\ \Rightarrow r=35\na_7=a_0+7*r\ \Rightarrow 21=a_0+7*35\n\Rightarrow a_0=-224\n\Rightarrow a_1=-224+35\n\boxed{a_1=-189}

Which shows the factored form of x2 – 12x – 45?(x + 3)(x – 15)
(x – 3)(x – 15)
(x + 3)(x + 15)
(x – 3)(x + 15)

Answers

Hi!

(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45

x² = x²
xa+xb = (a+b)x = -12x ⇒ (a+b) = -12
ab = -45

When (a+b) = -12 and ab = -45?

+3-15 = -12 and (+3)(-15) = -45 
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45

Answer:

(x+3)(x-15) 
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