The tables show linear functions representing the cost for purchasing different amounts of broccoli and cauliflower. which function has the greater slope and what does it indicate? the broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower. the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.

Answer:

same thing for the rest, you just change the value of the radius according to the question

Step-by-step explanation:

area = pi * radius²

1)

a = pi * 10²

a = ~3.14 * 100

a = 314 mi²

The line passes through the origin and if it has a constant of variation of 3, so it represents a direct variation , Option A is the correct answer.

When a quantity increases and the other quantity also increases , then those two quantities are said to be in direct variation.

It is asked in the question that which option depicts whether On a coordinate plane, a line goes through points (0, 0) and (1, 3) , represents a direct variation

As it is mentioned in the question that the line passes through the origin and if it has a constant of variation of 3, so it represents a direct variation.

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Answer:

a

Step-by-step explanation:

total no of marbles = 10

no. of marbles which are not yellow = 9

9/10

hope it helps...!!!

Answer:

b; [5]

Step-by-step explanation:

i took the quiz

Answer:

Step-by-step explanation:

(-5, 3) and (-5, -3)

(-3 - 3)/(-5 + 5) = -6/0 = UNDEFINED

That is also the CORRECT ANSWER

Answer:

R. 6+100 tan30∘=6+1003√3 feet tall.

Answer:

Hi,

Step-by-step explanation:

directrix: x=-8

focus=(8,0)

[tex]x=\dfrac{(y-0)^2}{2*(8+8)}+\dfrac{8-8}{2}\\\\\boxed{x=\dfrac{y^2}{32}}[/tex]

Answer:

3 Hours

Step-by-step explanation:

Plumber A.

Initial fee: $45

Per Hour: $60

Plumber B.

Full rate: $225

To determine the number of hours it will take for both plumbers to charge the same amount you have to start with $45.

Then add 60$ every hour.

$45 + $60 = $105

$105 + $60 = $165

$165 + $60 = $225

Therefore, it takes 3 hours for them to charge the same rate.

Answer:

i think its just water bro

The solution to this system of equations is infinitely many solutions

The system of equations is given as:

-5.9x  -3.7y = -2.1.

5.9x + 3.7y = 2.1.

Add both equations to eliminate a variable

-5.9x + 5.9x - 3.7y + 3.7y = -2.1 + 2.1

Evaluate

0 +0 = 0

Evaluate the sum of zeros

0 = 0

Both sides of the equations are the same

Hence, the solution to this system of equations is infinitely many solutions

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Answer:

Option C is correct. The system of linear equation -5.9x - 3.7y =  -2.1 and 5.9x +3.7y = 2.1 have infinitely many solutions.

What is system of linear equation?

The system of linear equations is "a set of two or more linear equations or   variables is called system of linear equation".

What is infinitely many solutions?

An equation has infinitely many solutions only if "the two lines are coincident and having the same y-intercept".

According to the question,

The system of linear equation,

-5.9 x - 3.7y = -2.1            →  (1)

5.9 x + 3.7y = 2.1              →  (2)

The equation (1) is same as the equation (2) only the difference equation (1) is multiplied by (-1). Both equation give the same line. To check if above equations have same y-intercept, the equation can be written in slope intercept form y = m x +c where 'm' is the slope of the line, 'c' is the 'y-intercept'.

y = - (5.9/3.7) x + 2.1   [From equation (1)]

y = -(5.9/3.7) x + 2.1      [From equation (2)]

The both equation have same y-intercept. Therefore, the system of linear equations have infinitely many solution.

Hence, the system of linear equation -5.9x - 3.7y =  -2.1 and 5.9x +3.7y = 2.1 have infinitely many solutions.  

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Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

(5x² - 4x - 1) - (- 4x² - 4)

remove first set of parenthesis and distribute second set by - 1

= 5x² - 4x - 1 + 4x² + 4 ← collect like terms

= 9x² - 4x + 3

Answer:

-7/8

Step-by-step explanation:

Quadratic formula is ax^2 + bx + c

In this case, x = -b/2a, which is -7/(2(4)) = -7/8

Answer:

x = - [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

given a quadratic in standard form

f(x) = ax² + bx + c (a ≠ 0 )

then the equation of the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = 4x² + 7x + 6 ← is in standard form

with a = 4 and b = 7

then equation of axis of symmetry is

x = - [tex]\frac{7}{2(4)}[/tex] = - [tex]\frac{7}{8}[/tex]

By definition of inverse function,

[tex]f\left(f^{-1}(x)\right) = x[/tex]

Given that f(x) = 2x + 4, solve for the inverse of f :

[tex]f\left(f^{-1}(x)\right) = 2 f^{-1}(x) + 4 = x \implies f^{-1}(x) = \dfrac{x-4}2[/tex]

(I'm not entirely sure which answer that corresponds to from the choices provided...)

Answer:

141/1.95 km/hr, or 72.308 km/hr

Step-by-step explanation:

To find the average speed, we need to know the total distance traveled / time (hours).
The total distance is 72 km + 69 km =  141 km.
The total time is 48 minutes / 60 (because we want this in hours, not minutes) + 69/60 = 1.95 hours
141/1.95 =  72.3 km/hr

Answer:

y=2x-5

explanation

m is gradient so rise over run and b is the y intercept which is -5

Answer: y = 2x - 5

Step-by-step explanation:

Method I:

▪︎ Slope: m = (y2 - y1) / (x2 - x1)

▪︎ b is where the graph crosses the y-axis

▪︎ Points: (1, -3), (2, -1)

▪︎ m = (-1 - (-3)) / (2 - 1) = (3 - 1) / (1) = 2

▪︎ b = -5

▪︎ => y = 2x - 5

Method II:

▪︎ y = mx + b

▪︎ Points: (1, -3), (2, -1)

▪︎ System of equations:

-3 = m*1 + b,

-1 = m*2 + b

-3 = m + b,

-1 = 2m + b

m = -b - 3,

-1 = 2(-b - 3) + b

m = -b - 3,

-1 = -2b - 6 + b

m = -b - 3,

-1 + 6 = -2b + b

m = -b - 3,

5 = -b

m = -(-5) - 3,

b = -5

m = 2,

b = -5

▪︎ => y = 2x - 5

Hi Student!

Looking at the problem, we are given a variable with a coefficient that is to the power of 4.  We are asked to write the same expression but without exponents which means that we need to factor out the exponents to each of the items inside of the parenthesis.

Expand the expression

Simplify the expression

Therefore, the final answer for writing the expression [tex](9m)^4[/tex] without exponents would be [tex]6561m^4[/tex] after expanding the expression.

Using proportions, it is found that 96,734 more obese people were there in evansville than in boulder.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For Evansville, the proportion of obese people is given by:

189/(311+189) = 189/500.

Hence, out of 358,676 people:

oE = 189/500 x 358676 = 135580.

For Boulder, the proportion is given by:

16/(16 + 109) = 16/125

Hence, out of 303,482 people:

oB = 16/125 x 303482 = 38846.

Hence the difference is given by:

135580 - 38846 = 96734

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Answer:

29

Step-by-step explanation:

using Pythagorean theory.

equate it to the hypotenus.

thus- hyp sq=adjacent sq +opposite sq

The ratio of ab to bc to the nearest hundredth is gotten as; 0.84

From the attached image showing the circle geometry, we will first connect point A to point B.

After connecting point A to point B, we will draw a perpendicular line to AB through B to terminate at C.

Thus, we can have the ratio of trigonometry at;

tan ∠ABC = AB/BC

Thus;

AB/BC = tan 40

AB/BC = 0.84

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The correct matching of each amount in the situation with the expression that represents it is:

Given that:

We have the situations and expressions that need to be matched such that:

Therefore, considering the situation,

The correct matching is given as:

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Answer:2x

Step-by-step explanation:

Answer:

Circumference = 2 x pi x r

Radius, r = 7/2

Circumference = 2 x 22/7 x 7/2

                         = 22 cm

Answer:

21.99

Step-by-step explanation:

2 times pi times radius

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y= \stackrel{\stackrel{m}{\downarrow }}{4}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is 4 and passes through (1 , 6)

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{4}(x-\stackrel{x_1}{1})[/tex]

[tex]y-6=4x-4\implies y=4x\underset{\stackrel{\uparrow }{b}}{+2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

probably it

Step-by-step explanation:

First, get the area of the rectangle then subtract the triangle, the result will be the shaded area:

area rec = 18 * 11

area rec = 198 cm²

small side of tri = 11 - 5

small side of tri = 6 cm

area tri = (height * width) / 2

area tri = (6 * 18) / 2

area tri = 108 / 2

area tri = 54 cm²

area shaded = 198 - 54

area shaded = 144 cm²

The number of the blue cubes is 35 and the number of the red cubes is 20.

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times the other number.

Given that:-

The number of the blue cubes are calculated as:-

The two equations will be formed by the given data in the question.

[tex]\dfrac{r}{b}=\dfrac{4}{7}[/tex]

7r = 4b

[tex]\dfrac{r+10}{b}=\dfrac{6}{7}[/tex]

7r + 70 = 6b

Solving the above equation we will get the value of b.

4b + 70 = 6b

6b - 4b = 70

2b = 70

b = 35

7r = 4b

7r = 4 x 35

r = 20

Therefore the number of the blue cubes is 35 and the number of the red cubes is 20.

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