How do you solve
6⋅1/3x+6⋅1/2=2x+3

Answer:

(-infinity, -2/3)u(-2/3,0)u(0, infinity)

Step-by-step explanation:

since it is asking for f(g(x)) we plug g into x which looks like:

f(2/x)

now we plug that into the f(x) equation for all of the x's because that is what replaced the x so:

1/(2/x)+3

we look at the denominator so we can pull the 2/x+3 out and set it equal to zero, therefore solving for x

this gives us -2/3

and we get the 0 from g(x) 's denominator

that should be correct and hope this helps!

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Work Shown:

(angle HID) + (angle DIJ) = angle HIJ

(100) + (8x+11) = 21x+7

100+8x+11 = 21x+7

8x+111 = 21x+7

111-7 = 21x-8x

104 = 13x

13x = 104

x = 104/13

x = 8

Use this x value to find angle HIJ

angle HIJ = 21x+7

angle HIJ = 21*8+7

angle HIJ = 175 degrees

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Extra info:

You can also use that x value to find angle DIJ

angle DIJ = 8x+11

angle DIJ = 8*8+11

angle DIJ = 75

Then add this to angle HID to get

angle HID + angle DIJ = 100+75 = 175

This matches with angle HIJ = 175

So this confirms angle HID + angle DIJ = angle HIJ which helps confirm our answers.

6, this is because FG + GH = FH, so 8+ GH=14, and 14-8=6

Answer: 6

Step-by-step explanation: Step 1:(G+1)2 Step 2 : (2+1)2 Step 3: (3)2 Step 4: 6

Hope This helps!

Answer:

C

Step-by-step explanation:

first, let's find the midpoint of line TR.

((x1+x2)/2, (y1+y2)/2)

(4+8)/2= x-coordinate= 6

(-4+-4)/2=y-coordinate=-4

(6,-4) is the point of A

now, use the distance formula for U (5,-6) and A (6,-4)

d= sqrt (x2-x1)^2 + (y2-y1)^2

d= sqrt (6-5)^2 + (-4-(-6))^2

d= sqrt (1+4)

d= sqrt 5

C. sqrt 5

Answer: I think the first one is A. and the next one is B

Step-by-step explanation:

Answer:

f(x) = 5x+9

Step-by-step explanation:

This meets the criteria:

function notation - all this means is replace the'y' with 'f(x)

x as the independent variable - basically means don't change the letter for x

Answer:

A +7= F

Step-by-step explanation:

A is his current age, and he gains, or adds seven years he will be F or his future age.

Answer:

7/13 is larger

Step-by-step explanation:

Answer:

Kyla walked 2 miles and jogged 9 miles

Step-by-step explanation:

Let the distance Kyla walked be x

and the distance Kyla jogged be y

Since the trail is 11-mile long, then

x + y = 11

Now, from the question,

Her walking speed is 4 mi/h and her jogging speed is 6 mi/h

Let the time spent to walk be t₁ and the time spent to jog be t₂

From

Distance = Speed × Time

Then, the distance walked x is

x = 4 mi/h × t₁

and the distance jogged y is

y = 6 mi/h × t₂

From the question, Kyla takes 2 hours to go from the beginning to the end of the trail, that is

t₁ + t₂ = 2 hours

∴t₁ = 2 - t₂

Since

x + y = 11, then we can write that

(4 mi/h × t₁) + (6 mi/h × t₂) = 11

But t₁ = 2 - t₂

Then,

(4 mi/h × t₁) + (6 mi/h × t₂) = 11; becomes

(4 mi/h × (2 - t₂)) + (6 mi/h × t₂) = 11

8 - 4t₂ + 6t₂ = 11

2t₂ = 11 - 8

2t₂ = 3

t₂ = 3/2

t₂ = 1.5 hours

This is the time spent to jog

Then, from t₁ = 2 - t₂

t₁ = 2 - 1.5

t₁ = 0.5 hour

This is the time spent to walk

Now, For the distance Kyla walked, x

x = 4 mi/h × t₁

x = 4 mi/h × 0.5

x = 2 miles

Hence, she walked 2 miles

and for the distance Kyla jogged, y

y = 6 mi/h × t₂

y = 6 mi/h × 1.5

y = 9 miles

Hence, she jogged 9 miles

Answer:

4

Step-by-step explanation:

i belive this is the answer becuase 3 divided by (3/4)

Answer: Choice C

We have an x axis reflection

[tex](x,y) \to (x,-y)[/tex]

The x coordinate stays the same while the y coordinate flips from positive to negative, or vice versa.

For example, point L is located at (-4,2) and it moves to L ' (-4, -2). The other points follow this same pattern.

Answer:

The trail on her new map is 8 cm

Step-by-step explanation:

Here, we are interested in knowing the the length of the trail on the new map.

The scale on her old map is 1 cm represents 100 m

While her new map has a scale of 1 cm to 500 m

Now, running a trail of 40 cm on her old map, we need to get the actual distance.

The actual distance will be 40 * 100 = 4,000 m

Now, we shall convert this to the new map scale

We simply convert this to cm in the new map scale by dividing the 4,000 m by 500 m

That would be 4,000/500 = 8 cm

So the trail on her new map is 8 cm

Answer:

The actual distance will be 40 * 100 = 4,000 m

Step-by-step explanation: Now we have to convert the new scale map by dividing the 4,000 m by 500 m so that would be 4,000/500 = 8 cm

Answer:

so am i

Step-by-step explanation:

Answer:

The most common measure of an angle is in degrees. Here is a brief introduction to the four types of angles: Right angle. With this angle, you can never go wrong. The right angle is one of the most easily recognizable angles. It’s in the form of the letter L, and it makes a square corner (see Figure 2). It has a measure of 90 degrees.

Step-by-step explanation:

Answer:

Alex = 19 years

Bart's = 15 years

Carl = 8 years

Step-by-step explanation:

Let us represent their ages as

Alex = x

Bart's = y

Carl = z

the sum of the ages of the three brothers is 42

x + y + z = 42

Alex his age is three more than twice Carl's age

x = 2z + 3

The difference between Barts in Carl's ages is seven years

y - z = 7

y = 7 + z

Hence: we Substitute

x + y + z = 42

2z + 3 + 7 + z + z = 42

Collect like terms

2z + z + z + 10 = 42

4z = 42 - 10

4z = 32

z = 32/4

z = 8 years

Hence, Carl = 8 years old

a) y = 7 + z

y = 7 + 8

y = 15 years.

Hence, Bart's is 15 years old

b)x = 2z + 3

x = 2(8) + 3

= 16 + 3

= 19 years

Therefore, Alex is 19 years old.

Answer:

Not sure on this but I'm pretty sure its 12i√11 since you have to use an imaginary number in order for the equation to work.

By simplifying the expression 4√−99, we have; 12i√11.

To simplify 4√−99, we first need to simplify the number present within the square root.

To do this, the factors are determined as follows;

We can therefore find the square root of 9 so that we have;

Furthermore, √-11 can be rewritten as;

However, in complex numbers, √-1 = i.

Ultimately, we have 12i√11 as the simplification of 4√−99.

Read more:

https://brainly.com/question/12375854

Answer: D

Step-by-step explanation:

The slope of a linear equation is the m value in the linear equation y=mx+b, in this case m=-3. The y-intercept is the b value in the linear equation y=mx+b, in this case b=-2.

Answer:

Use slope intercept form to find your y intercept and slope. Once you plot your y intercept (0,1), use your slope (3) to go up three units and to the right one unit.

Step-by-step explanation:

hope this helps *_*

Answer:

The second number is 40, because the first number is 5 times 2, so the second number is 20 times 2. Each ratio simplifies to be 1:4.

Step-by-step explanation:

It was on edg it told me the answer

                                                 hope it helps :]

Answer:150p + 300 = x

Step-by-step explanation: Cost $450

For making a phone a day

150p + 300 = x

The required expression representing the total cost in dollars of producing p phones in a given day is C = 150P + 300.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Josiah is in the business of manufacturing phones. He pays a cost of $150 per phone produced for materials and labor and also must pay a daily fixed cost of $300 to rent the building and equipment.

Let, p number of phone manufactured in given day,
According to the quesiton,
C = 150P + 300

Thus, the required expression representing the total cost in dollars of producing p phones in a given day is C = 150P + 300.

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Answer:

0>3 i hope it helps

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2(x−3)−4>3x−5(x−1)

Step 1: Simplify both sides of the inequality.

−2x+2>−2x+5

Step 2: Add 2x to both sides.

−2x+2+2x>−2x+5+2x

2>5

Step 3: Subtract 2 from both sides.

2−2>5−2

0>3

Answer:5

Step-by-step explanation:

2x=10

10÷2= 5

x=5

Answer:

X = 5

Step-by-step explanation:

2x means x plus itself. if x + x is 10, what number fits that description?

5!

2.5 = 10, so X = 5

If Grayson begins saving $1,000 per month and makes 9% a year, compounded monthly, he will have $667,887 in retirement. Therefore, $667,887 is the correct number.

A financial notion known as future value (FV) gives a worth to an asset based on anticipated factors like future interest rates and cashflows. Knowing how much their money might be in five years, given an anticipated rate of return, may be helpful for an investor. Future value is the idea of taking the investment's current worth, adding anticipated development, and estimating what the investment is going to cost in the future.

To calculate the amount of money Grayson will have at retirement, we can use the formula for the future value of an annuity:

FV = Pmt x (((1 + r/n)^(n*t)) - 1) / (r/n)

where:

FV is the future value of the annuity (i.e., the amount Grayson will have at retirement)

Pmt is the monthly payment ($1,000 in this case)

r is the annual interest rate (9% in this case)

The number of annual increasing times is n. (12 for monthly compounding)

t is the number of years (20 in this case)

Plugging in the numbers, we get:

FV = 1000 x (((1 + 0.09/12)⁽¹²*²⁰⁾) - 1) / (0.09/12)

FV = $667,887.20

Therefore, Grayson will have $667,887 at retirement if he starts saving $1,000 per month and earns 9% a year, compounded monthly. Therefore, the answer is $667,887.

To know more about Future value visit:

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Answer: Yes, it is linear. The slope is -2

Step-by-step explanation:

move the 2x over to the other side and get y=-2x+4, the slope in a linear equation is m in the formula y=mx+b, in this case, m=-2