A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.

x =

Answer:

16

Step-by-step explanation:

there are 4 1/4 servings in one cup

there are 4 cups so 4×4

Answer:

The answer of this would be 4.

Step-by-step explanation:

1/4 + 1/4 + 1/4 + 1/4 = 4

Answer:

13 dollars an hour.

Step-by-step explanation:

65/5 = 13

total/time = constant of variation

Smallest 2-digit number: 23

3-digit number closest to 300: 276

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[tex]ANSWERED:\\GraceRosalia[/tex]

Answer:7/9

Step-by-step explanation:

Answer:

7/9

Step-by-step explanation:

I hope this helps you.

The expression for the number of painted turtles in the pond will be 1/3f - 10.

Let the number of bullfrogs be represented by f.

From the given information, the number of painted turtles in a pond is ten less than one-third of the number of frogs, the expression for this will be:

= (1/3 × f) - 10

= 1/3f - 10

Therefore, the expression for the number of painted turtles in the pond will be 1/3f - 10. This implies that we have to multiply the fraction by f and then subtract 10 from the value.

In conclusion, the correct option is 1/3f - 10.

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Answer:

cc

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

-7/3

Step-by-step explanation:

6d + 8 = 3d + 1 (subtract 3d from both sides)

3d + 8 = 1 (now subtract 8 from both sides)

3d = -7 (divide both sides by 3)

d = -7/3

Answer:

Step-by-step explanation:

6d+8=3d+1

3d+8=1

3d=-7

D=-7/3

Answer:

The 2nd answer is the correct

Step-by-step explanation:

Hope this helps:)

Answer: The converse is that if a point is on the interior of an angle and is equidistant from both sides of the angle, then the point lies on the angle bisector. This makes sense since the distance from a point and a side of the angle is a perpendicular line connecting the point to a side. And since it is equidistant from both sides, the perpendicular lines have to be congruent, it make sense if the point is on the angle bisector, the traingles would be congruent.

Step-by-step explanation: The explanation is in the answer.

Answer:  Let the 2 numbers be x and  

sum of two numbers is 28....Eq 1:  x + y = 28

sum of 6 times the 1st number and 3 times the 2nd number is 105....Eq 2:  6x + 3y = 105

Rearrange Eq 1 to solve for x.

x + y = 28

x = 28 - y  --> Substitute into Eq 2, you get

6(28 - y) + 3y = 105

168 - 6y + 3y = 105

-3y = -63

y = -63 / -3 = 21

Now solve for x using Eq 1.

x = 28 - y = 28 - 21 = 7

hope  it helped

Step-by-step explanation:

Answer:

im not very good at that but my best problematic ratio is deviding the x ponet by the ^ and then using your y ponet multiplyed by your first couple of numbers which are "x^2"

Answer:

tạo độ của anh ấy dừng là:

Step-by-step explanat ion(:-2,2.5)

Answer:

It will result if you have advanced classes or get an Ap class

Step-by-step explanation:

It will not affect your 9th grade..

Yet, you should work hard to achieve your aim and gain knowledge not for getting better marks.

Amy because Ben spend the less money then

amy get more money

Amy has more money than her brother after all transactions.

An equation is a statement that the depicts the values of two mathematical expressions as equal using an (=) sign. Example -

2x = 5

An expression is written using individual terms (either constant or variable) separated by mathematical operations. Example -

3x + 5y + 3

We have Amy who has $1275 less than her brother ben. Ben spends $550 and Amy gets $750.

Assume that the money with Ben and Amy after transactions is $x and $y respectively. Let Ben has a initial amount of $m and Amy has of $n.

n = m - 1275

After transactions -

x = m - 550

y = m - 1275 + 750 = m - 525

Now -

m - 525 > m - 550  for every value of [m].

So, now Amy has more money.

Therefore, Amy has more money than her brother after all transactions.

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Answer:

x=6

Step-by-step explanation:

5x-7=23

5x-7 +7=23+7

5x=30

30/5=6

x=6

Answer:

40

Step-by-step explanation:

Step-by-step explanation:

(1 - cos²A) (1 + tan²A) = tan²A

(sin²A)(sec²A) = tan²A

(sin²A)(1/cos²A) = tan²A

(sin²A)/(cos²A) = tan²A

tan²A = tan²A → Proved

Step-by-step explanation:

So, this way we can do. Thank you!

Answer:

water, food, toliet paper, toothpaste

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

1st is (D.) 2nd is (C.) 3rd is (D.) 4th is (A.) 5th is (C.)

Answer:

32,000 or 32 thousand

Step-by-step explanation:

When looking at thousands, we must determine if the hundreds place has more than 5 which would be half of a thousand. So... if there would have been 32500, then the answer would have been 33,000 because there were 500.

Since there are only 450, we are going to have to round back to 32,000 since the number isn't large enough.

-kiniwih426

Answer:

15.125

hope it helps-

Answer:

fraction form: 121/8

decimal form: 15.125

Step-by-step explanation:

The value of the function g(h(10)) will be 2√2.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that g(x) is √(x-4) and h(x) is 2x - 8. The value of the function g(h(10)) will be calculated as:-

h(x) = 2x - 8

At x = 10 the value of the function h(x) will be:-

h(10) = ( 2 x 10 ) - 8

h(10) = 20 - 8

h(10 ) = 12

Calculate the value of the function g(h(10)):-

g(h(10)) = √(x-4)

g(h(10)) = √(h(10)-4)

g(h(10)) = √( 12 -4 )

g(h(10)) = √( 8 )

g(h(10)) =  2√2.

Therefore, the value of the function g(h(10)) will be 2√2.

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Step-by-step explanation:

Given the function, f(x) = -3x + 4, you basically need to choose any input (x-value) and substitute those values into the function.

       f(0) = -3(0) + 4

       f(0) = 0 + 4

       f(0) =  4 [this is the value of your final column, in the f(x)].

   2. f( 1 ) = -3( 1 ) + 4, where the input is x = 1.

       f( 1 ) = -3( 1 ) + 4

       f( 1 ) = -3 + 4

       f( 1 ) =  1 [this is the value of your final column, in the f(x)].

   3. f(2) = -3(2) + 4, where the input is x = 2.

       f(2) = -6 + 4

       f(2) = -2 [this is the value of your final column, in the f(x)].

All you need to do is plot the following points on your graph:

{(0, 4), (1, 1), (2, -2)}  

Answer:

6x(3x + 1)(x - 7)

Step-by-step explanation:

First look for the greatest common factor of the 3 terms.

The GCF is 6x, so

18x^3 – 120x^2 – 42x

= 6x(3x^2 - 20x - 7)

Now we look to factor the quadratic expression in the parentheses:

The first and last coefficients are multiplied

3 * -7 = -21.

We look for 2 numbers whose product is -21 and whose sum is -20:

They are -21 and + 1 , so we write:

6x(3x^2 - 21x + 1x - 7)

= 6x [ (3x(x - 7) + 1(x - 7)]    Note that x - 7 is common, so:

= 6x(3x + 1)(x - 7)  Answer

Answer:

Step-by-step explanation:

The question is an illustration of related rates.

The rate of change between you and the ball is 0.01 rad per second

I added an attachment to illustrate the given parameters.

The representations on the attachment are:

[tex]\mathbf{x = 100\ m}[/tex]

[tex]\mathbf{\frac{dy}{dt} = 2\ ms^{-1}}[/tex] ---- the rate

[tex]\mathbf{\theta = \frac{\pi}{4}}[/tex]

First, we calculate the vertical distance (y) using tangent ratio

[tex]\mathbf{\tan(\theta) = \frac{y}{x}}[/tex]

Substitute 100 for x

[tex]\mathbf{y = 100\tan(\theta) }[/tex]

[tex]\mathbf{\tan(\theta) = \frac{y}{100}}[/tex]

Differentiate both sides with respect to time (t)

[tex]\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}[/tex]

Substitute values for the rates and [tex]\mathbf{\theta }[/tex]

[tex]\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}[/tex]

This gives

[tex]\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}[/tex]

[tex]\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}[/tex]

Divide both sides by 2

[tex]\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }[/tex]

[tex]\mathbf{ \frac{d\theta}{dt} = 0.01 }[/tex]

Hence, the rate of change between you and the ball is 0.01 rad per second

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Answer:

Step-by-step explanation:

(6,-1) and (3,4)