range values y=3x+1 if the domain is -1,0,1,4​

Answer:

0.5x + 7.5 / (x + 6)

Step-by-step explanation:

Let x be the number of wooden beads

wooden bead = $0.50 each

glass bead = $1.25 each

since average cost of bead = (cost of wooden bead + cost of glass bead)/ total number of beads

equation is (0.5x + (6*1.25))/(x + 6)

The model equation is therefore 0.5x + 7.5 / (x + 6)

Answer:

x=110

Step-by-step explanation:

66*20=6*2*x

1320=12x

x=1320/12

x=110

A(-2,-4), B(-4,-2), C(-6,-4)

Translating by (2,3) adds 2 to the x and 3 to the y so gives

A'(0,-1), B'(-2,1), C'(-4, -1)

Reflecting in x=0 (the y axis) keeps the ys the same but negates the xs

A''(0,-1), B''(2,1), C''(4,-1)

I'll leave the drawing to you.

Answer: 24/55

Step-by-step explanation:

multiply both numerators and denominators

6/11 × 4/5 = 24/55

Answer:

6

Step-by-step explanation:

you take 18 and divide it by 3

Answer:

8 liters of 15% solution and 72 liters of 65% solution

Step-by-step explanation:

If x is the liters of 15% solution, and y is the liters of 65% solution, then:

x + y = 80

0.15x + 0.65y = 0.60(80)

Solve the system of equations with substitution or elimination.  Using substitution:

0.15x + 0.65(80 − x) = 0.60(80)

0.15x + 52 − 0.65x = 48

4 = 0.5x

x = 8

y = 72

You need 8 liters of 15% solution and 72 liters of 65% solution.

8 liters of the 15% solution and 72 liters of the 65% solution are required.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

If x is the liters of 15% solution, and y is the liters of 65% solution, then:

x + y = 80

0.15x + 0.65y = 0.60(80)

Use substitution or elimination to solve the mathematical model. Using a substitute

0.15x + 0.65(80 − x) = 0.60(80)

0.15x + 52 − 0.65x = 48

4 = 0.5x

x = 8

y = 72

8 liters of the 15% solution and 72 liters of the 65% solution are required.

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Answer:

11.39

Step-by-step explanation:

-3.86+6.82=2.96

abs(2.96)=2.96

----------------------

4.02-12.45=-8.43

abs(-8.43)=8.43

-----------------------

1(2.96)+8.43=2.96+8.43=11.39

Answer:

[tex]\frac{72}{q}[/tex] number of cheerleaders, she would expect to forget their bows.

Step-by-step explanation:

Kaley estimates that 2 out of every q cheerleaders will forget to bring their bows for practice.

So, if there are q cheerleaders then 2 of them will forget to bring their bows.

Then if there are 1 cheerleader then [tex]\frac{2}{q}[/tex] of them will forget to bring their bows.

Finally,  if there are 36 cheerleaders then [tex]\frac{2 \times 36}{q} = \frac{72}{q} [/tex] of them will forget to bring their bows.

Therefore, [tex]\frac{72}{q}[/tex] number of cheerleaders, she would expect to forget their bows. (Answer)

Answer:

7960

Step-by-step explanation:

4000+99*40

4000+3960

7960

Answer:

$343

Step-by-step explanation:

To get 30% of 490 we divide 30% by 1

30% ÷ 1 = 147

Now, we subtract 490 by 147

490 - 147 = 343

Let the number of rectangles = R

Perimeter is 2(L) + 2(W)

The length remains the same when you add more triangles ( 6).

The width changes by multiplying the width by the number of rectangles.

Since the width of the rectangles are 1, multiply the number of rectangles R by 1 to get R.

Now replace W in the perimeter frmula with R:

Now the perimetr would be: P = 2L + 2R

Step-by-step explanation: In algebra, we use the word slope to describe how steep a line is. Slope can be found using the ratio [tex]\frac{rise}{run}[/tex] between any two points that are on that line.

To get from one point on the graph to another point, we would rise 2 units which means go up to units and run -1 unit or go across 1 unit to the left.

The variable that is used to represent slope is m. So for this line we would say that m = -2

The base b represents the y-intercept of the line. The of the base as how far we are going up or down on the y-axis. Since we go up 5 units on the y-axis, we have a base of 5 so b = 5.

Remember, slope = rise/run.

We can use the points (-1, 7) and (3, -1) to solve.

_______

Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

= -1-7/3-(-1)

= -8/4

= -2

_______

The y-intercept is given in the line but let's solve just to check.

y = mx + b

7 = -2(-1) + b

7 = 2 + b

7 - 2 = 2 + b - 2

5 = b

Now, we can see that y-intercept is 5.

_______

After solving for both the slope and y-intercept we can put this into slope-intercept form.

y = mx + b

y = -2x + 5

_______

m = -2

b = 5

_______

Best Regards,

Wolfyy :)

Answer:

A

Step-by-step explanation:

I just did it

Based on the above description, the areas of triangle ABC and DEF  is compared to The area of △ABC is equal to the area of △DEF.

Looking at the image show:

The area of  △ABC

= 4 x 3 x 1/2

=6

The  area of  △DEF

= 6 x 2 x 1/2

= 6

Therefore, from the above, the areas of triangle ABC and DEF  is compared to The area of △ABC is equal to the area of △DEF.

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Answer:

[tex]\large\boxed{0.00003400=3.4\cdot10^{-4}}[/tex]

Step-by-step explanation:

The scientific notation:

[tex]a\cdot 10^k[/tex]

where

[tex]1\leq a<10,\ k\in\mathbb{Z}[/tex]

[tex]0.0003400=0\underbrace{.0003}_{4\to}4=3.4\cdot10^{-4}\\\\0.00034=3.4:10000=3.4:10^4=3.4\cdot\dfrac{1}{10^4}=3.4\cdot10^{-4}\\\\\text{used}\ a^{-n}=\dfrac{1}{a^n}[/tex]

Answer:

C

Step-by-step explanation:

Given the two functions, we need to find

(g ° f)(4)

This means, we need to put the function f(x) INTO the function g(x) and then evaluate that new function at x = 4.

We put the whole expression of f(x) into "x" of g(x). Shown below:

[tex]f(x)=x^2-3\\g(x)=\frac{x+2}{x}\\(gof)(x)=\frac{x^2-3+2}{x^2-3}\\(gof)(x)=\frac{x^2-1}{x^2-3}[/tex]

Now we plug in 4 into x and evaluate:

[tex](gof)(x)=\frac{x^2-1}{x^2-3}\\(gof)(4)=\frac{4^2-1}{4^2-3}\\(gof)(4)=\frac{15}{13}[/tex]

Thus,

correct answer is C

Answer:

ivan will

Step-by-step explanation:

16mph

16/3=5.333

60/3=20minutes

so instead of 5 miles in 20 minutes like pedro ivan did 5.333 repeating

He is correct.

The further away ( to the left) from 0 a negative number is the smaller it is.

Billy correctly determined that −3/4 is smaller than −1/4 by plotting them on a number line. Numbers further to the left on the number line are smaller, and thus −3/4 is less because its absolute value is greater than that of −1/4 when both are negative.

Billy is correct in determining that −3/4 is smaller than −1/4. On a number line, negative numbers to the left are smaller than those to the right. Since −3/4 is further to the left than −1/4, it is indeed the smaller number. Comparing fractions with negative signs can initially be challenging, but remembering that the further left a number is on the number line, the smaller it is, can help clarify comparisons.

When plotting fractions on a number line, it is helpful to consider the absolute value of those fractions. The absolute value of −3/4 is 3/4, and the absolute value of −1/4 is 1/4. Since 3/4 is greater than 1/4, the negative version, −3/4, will be further to the left than −1/4 and therefore less than −1/4.

Answer:

If the company produce and sell 'x' no. of thing-a-ma-bob , then

C(x) = $ (8809 + 2.05x)

R(x) = $ 4.92x

To make a profit the company must produce and sell at least 3070 thing-a-ma-bobs.

Step-by-step explanation:

If the company produces and sells "x" no. of thing-a-ma-bob, then,

the cost function is given by,

C(x) = $ (8809 + 2.05x) ------------------------(1)

The revenue function is given by,

R(x) = $ 4.92x -------------------------------------(2)

If C(x) = R(x), then,

4.92x = 8809 + 2.05x

⇒ 2.87x = 8809

⇒ x = [tex]\frac {8809}{2.87}[/tex]

⇒ x [tex]\simeq [/tex] 3069.34

So, to make a profit the company must produce and sell at least 3070 thing-a-ma-bobs.

Answer:

120 Grams.

Step-by-step explanation:

In the illustration, the dial is on 30 grams as the increments increase by 5 grams per tick mark. Taking this info, we can say that since the eggs have the same mass then 30 × 4 is equal to 120 grams.

Answer: x=-1,-2

Step-by-step explanation:

X^2+3x+2=0

(x+1)(x+2)=0

x=-1,-2

Answer:

[tex]\sqrt{85}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)

d = [tex]\sqrt{(6+1)^2+(-2-4)^2}[/tex]

  = [tex]\sqrt{7^2+(-6)^2}[/tex]

  = [tex]\sqrt{49+36}[/tex]

  = [tex]\sqrt{85}[/tex] ← exact distance

Answer:

he other guy is wrong there is no 85

Step-by-step explanation:

The completed table shows that the product of wavelength and frequency (k) is approximately constant for X-rays, radio waves, green light, and UV rays. Here are the final values for a, b, c, and d: [tex]a = \frac{1}{3} \times 10^{8} \, \text{m/s} , \ b = \frac{1}{3} \times 10^{8} \, \text{m/s} , \ c = \frac{1}{3} \times 10^{8} \, \text{m/s} , \ d = \frac{2}{15} \times 10^{-8} \, \text{m/s}.[/tex]

To determine if wavelength varies inversely with frequency, we can use the formula [tex]\(k = \text{wavelength} \times \text{frequency}\).[/tex]. Rearranging this formula to solve for k, we get [tex]\(k = \frac{1}{\text{frequency}} \times \text{wavelength}\)[/tex].

Now, we can calculate the values of k for each type of radiation:

[tex]\[a = \frac{1}{3 \times 10^{18}} \times (1 \times 10^{-10}) = \frac{1}{3} \times 10^{-28} \, \text{m/s}.\]\[b = \frac{1}{3 \times 10^9} \times (1 \times 10^{-1}) = \frac{1}{3} \times 10^{-10} \, \text{m/s}.\]\[c = \frac{1}{5 \times 10^{11}} \times (600 \times 10^{-6}) = \frac{1}{3} \times 10^{-8} \, \text{m/s}.\]\[d = \frac{1}{7.5 \times 10^{14}} \times (4 \times 10^{-7}) = \frac{4}{30} \times 10^{-21} \, \text{m/s}.\][/tex]

Now we express the values in terms of [tex]\(10^8\)[/tex]:

[tex]\[a = \frac{1}{3} \times 10^{-20} \, \text{m/s} = \frac{1}{3} \times 10^{8} \, \text{m/s}.\]\[b = \frac{1}{3} \times 10^{-2} \, \text{m/s} = \frac{1}{3} \times 10^{8} \, \text{m/s}.\]\[c = \frac{1}{3} \times 10^{0} \, \text{m/s} = \frac{1}{3} \times 10^{8} \, \text{m/s}.\]\[d = \frac{4}{30} \times 10^{-13} \, \text{m/s} = \frac{2}{15} \times 10^{-8} \, \text{m/s}.\][/tex]

So, the completed table is as follows:

[tex]\[a = \frac{1}{3} \times 10^{8} \, \text{m/s}.\]\[b = \frac{1}{3} \times 10^{8} \, \text{m/s}.\]\[c = \frac{1}{3} \times 10^{8} \, \text{m/s}.\]\[d = \frac{2}{15} \times 10^{-8} \, \text{m/s}.\][/tex]

If Jerri decides to make four small cakes out of a large cake recipe, she should divide the quantity of the required ingredient (in this case, cinnamon) by 4. Hence, for each small cake, she should use 1/12 of a tablespoon of cinnamon.

The recipe Jerri is working with requires one-third of a tablespoon of cinnamon for a large cake. If she decides to use the same recipe to make four small cakes, she should divide the quantity of the cinnamon by 4, as the four smaller cakes together will make up the same quantity/volume as the one large cake.

The calculation can be done as follows: (1/3) tablespoon of cinnamon divided by 4 equals 1/12 tablespoon. Therefore, for each smaller cake, Jerri should use 1/12 of a tablespoon of cinnamon.

The correct answer is (A) 1/12 of a tablespoon.

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Answer:

B

Step-by-step explanation:

A.) If you plug in 5 for t, you'd get -5 squared + 10(5) - 16

Which would equal 25 + 50 - 16 = 59

Answer a says t is less than 5, so for example let's plug in 4. You'd get a lower number, which means its decreasing. A is wrong

B.) Now let's plug in 8 for t.

-8 squared = 64.

64 + 10(8) - 16 = 144 - 16 = 128

Your answer here is positive, and B states is t > 8. Any number above 8 is going to give you a positive number and it is increasing

Answer:

B. t>8

Step-by-step explanation:

The system of equations -3x + 3y = 9 and 2x - 7y = -14 belongs to the branch of math called Algebra. You can solve the system using methods like substitution or elimination. The solution for the system is x = -2, y = 1.6.

The given equations are part of the math branch known as Algebra, specifically a system of linear equations. The system consists of the following equations:

-3x + 3y = 9 and 2x - 7y = -14

To solve for x and y, you use the method of substitution or elimination. Let's use the method of elimination:

Multiply the first equation by 2 and the second equation by 3:

-6x + 6y = 18 and 6x - 21y = -42

Then, sum both equations (this will cancel the x variable, leading to a single equation with y):

-15y = -24

Finally, divide by -15 to solve for y, which gives y = 24/15 or 1.6. Substituting y into the first equation gives x = -2.

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Answer:

8,16,24,32,48

Step-by-step explanation:

When dividing a number by 7, only 7 different remainders are possible.

The remainders when dividing by 7 can not exceed 6, so the numbers in which we are interested can be represented as 7k+k or just 8k, where k=1, 2, ... , 6.

Answer:

8, 16, 24, 32, 40, 48

Step-by-step explanation:

Answer:

x = 26    m∠DAB =  80°      m∠ADC = 100°

Step-by-step explanation:

Given,

ABCD is a parallelogram in which AB ║ DC and AD║ BC.

m∠DAB = 4x-24  

m∠ADC = 2x+48

Solution,

Since ABCD is a parallelogram so sum of two consecutive angle is 180°.

[tex]m\angle DAB+m\angle ADC=180\°\\4x-24+2x+48=180\°\\6x+24=180\°\\6x=180-24\\6x=156\\x=\frac{156}{6}=26[/tex]

Now substituting the value of x we get the value of ∠DAB and ∠ADC .

[tex]m\angle DAB=4x-24=4\times26-24=104-24=80\°[/tex]

[tex]m\angle ADC=2x+48=2\times26+48=52+48=100\°[/tex]

Thus the value of x is 26 and m∠DAB is 80° and m∠ADC is 100°

Answer:

y= 1/2x-1

Step-by-step explanation:

The equation of a line is y= mx+c

m represents the slope of the line

c represents the y-intercept

So we plug in our information into the equation.

The slope is 1/2 so y= 1/2x + c

The line crosses at (0,-1) which makes -1 the y-intercept as the line crosses at this point on the y-axis.

Therefore, y= 1/2x-1

To write an equation for a line with a slope of 1/2 that crosses the y-axis at the point (0,-1), we can use the slope-intercept form of a linear equation, y = mx + b. Substitute the given values into the equation to get y = (1/2)x - 1.

To write an equation for a line with a slope of 1/2 that crosses the y-axis at the point (0,-1), we can use the slope-intercept form of a linear equation, which is y = mx + b.

Here, 'm' represents the slope and 'b' represents the y-intercept.

Since the slope is 1/2 and the y-intercept is at (0,-1), we can substitute these values into the equation to get y = (1/2)x + (-1) or y = (1/2)x - 1.

This equation represents a line with a slope of 1/2 and crosses the y-axis at the point (0,-1).

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Answer:

B

Step-by-step explanation:

You could plug in the point given with another point but for simplicity, you can count how far away you are from the vertex. (Since the y intercept is at 0,0)

Go up 3 spots from the vertex, and then go one spot to the right. Ay now you're at (1,3)

You went up 3 and right 1, which translates to simply 3

Answer:

120.

Step-by-step explanation:

If you're asking for LCM the answer is 120.

Answer:

Step-by-step explanation:

3, 5 and 8 are Relatively prime numbers (LCD(3, 5, 8) = 1).

Therefore LCM(3, 5, 8) = 3 · 5 · 8 = 120