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4 years ago

Let g(x)= 2x and h(x)= x*x+4 evaluate the following expression

1 answer:

6 0

2x=x^2 +4. Make it equal to zero. so subtract the 2x from the otherside, making it- 0= -2x +x^2 +4. Then factor. find multiples of 4, that when added equal negative 2. Since there aren't any multiples that work use the quadratic equation.

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A triangle has interior angles equal to 51 and 42 degrees.Find the interior angle x

Taya2010 [7]

Answer:

Angle x would be 87 degrees.

Step-by-step explanation:

Angles inside of a triangle add up to 180 degrees. So 51+42=93 and if you subtract 93 from 180, you get 87.

3 0

3 years ago

At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the g

Galina-37 [17]

Answer: it will take 6 months for both gyms to cost the same.

Step-by-step explanation:

Let m represent the number of months that it will take for the cost of both gyms be the same.

At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. This means that the total cost for m months is

12 + 20m

At another gym, each month at the gym costs $22. This means that the total cost for m months is 22m

For both costs to be the same, the number of months would be

12 + 20m = 22m

22m - 20m = 12

2m = 12

m = 12/2 = 6

3 0

4 years ago

Lila collected the honey from 3 of her beehives. From the first hive she collected 2/3 gallon of honey. The last two hives yield

slamgirl [31]

Answer:

a). Lila collected 7/6 gallon in all.

b). She used for baking 5/12 gallon.

c) was left 1/3 gallon of honey

D) She used 3/8lb flour to make the brownies.

Step-by-step explanation:

a). Lila collected 7/6 gallon in all.

$\frac{2}{3} +\frac{1}{4} +\frac{1}{4} \\$

LCM=3*4=12

$\frac{8+3+3}{12}=14/12=7/6$

b). She used for baking 5/12 gallon.

She had 7/6 gallon of honey. She used 3/4 gallon for baking. To know how much honey was left, you have to substract 3/4 gallon from the total available honey 7/6 gallon.

$\frac{7}{6}-\frac{3}{4}$

You need to find LCM to substract fractions with different denominator:

LCM=12

$\frac{14-9}{12}=\frac{5}{12}$

c) was left 1/3 gallon of honey

To know how much honey was left you need to substract from the initial quantity of honey that is 3/4 gallon, the quantities used for baking, that are 1/6 gallon and 1/4 gallon.

Less common multiple: 12

$\frac{3}{4}-\frac{1}{6} -\frac{1}{4}$

We use LCM 12 to substract:

$\frac{9-2-3}{12}=\frac{4}{12} =\frac{1}{3}$

D) She used 3/8lb flour to make the brownies.

You know she used 1/2 lb flour to make the bread and to make cookies 1/8 more. So you need to do following math:

d) $\frac{1}{2} +\frac{1}{8} =\frac{4+1}{8} =\frac{5}{8}$

She used 5/8 to make cookies and she used 1/4 more to make cookies than brownies, then you have to do following math;

$\frac{5}{8}-\frac{1}{4}=\frac{5-2}{8}=\frac{3}{8}$

5 0

3 years ago

Cathan and Jakove went out to eat, and the bill for their food was $24.50. If theyleft their server a 20% tip, what was the tota

Strike441 [17]

$\begin{gathered} \text{The total cost of the experience is } \\ Bill+(Bill\cdot\frac{20}{100}) \end{gathered}$ $\begin{gathered} \text{Then, the cost of the experience is } \\ 24.50+(24.50\cdot\frac{20}{100})=24.50+(24.50\cdot0.2) \\ =24.50+4.9 \\ =29.4 \end{gathered}$

And the cost is $29,40

6 0

1 year ago

What is the opportunity cost in this scenario? Harry has been very busy at work for the past two weeks. He has been working week

Afina-wow [57]

Everything else besides Harry seeing his parents is the opportunity cost because those things are what he gave up to go see his parents

8 0

3 years ago

Read 2 more answers