Find the equation of a parabola with focus (2, -3) and directrix x = 5.

For this case we have to:

x: It is the variable that represents the quantity of paint bottles

y: It is the variable that represents the number of boxes of colored pencils

So, we have:

[tex]2x + 3.50y[/tex]

If you can not spend more than $ 42 then we have:

[tex]2x + 3.50y\leq42[/tex]

Then you can buy 10 boxes of colored pencils and 3 of paint bottles at a cost of $ 41

[tex]2 (3) +3.50 (10)\\6 + 35 = 41[/tex]

You can buy 5 boxes of colored pencils and 12 of paint bottles at a cost of $

[tex]2 (12) +3.50 (5)\\24 + 17.5 = 41.5[/tex]

You can buy 7 boxes of colored pencils and 8 of paint bottles at a cost of $

[tex]2 (8) +3.50 (7)\\16 + 24.5 = 40.5[/tex]

Answer:

[tex]2x + 3.50y\leq42[/tex]

Answer:

A dozen chocolate cookies cost $6

and a dozen oatmeal cookies cost $7

Step-by-step explanation:

Let's assume that cost of 1 dozen chocolate cookies = x

Let's assume that cost of 1 dozen oatmeal cookies = y

then we get equations:

9x+8y=110...(i),

and 9x+5y=89...(ii)

Solve equation (i) for x

9x+8y=110

9x=110-8y

[tex]x=\frac{110-8y}{9}[/tex]...(iii)

plug (iii) into (ii)

9x+5y=89

[tex]9\left(\frac{110-8y}{9}\right)+5y=89[/tex]

[tex]110-8y+5y=89[/tex]

[tex]9\left(\frac{110-8y}{9}\right)+5y=89[/tex]

[tex]110-3y=89[/tex]

[tex]-3y=89-110[/tex]

[tex]-3y=-21[/tex]

[tex]y=7[/tex]

plug y=7 into (iii)

[tex]x=\frac{110-8y}{9}=\frac{110-8(7)}{9}=6[/tex]

So the final answer is given by:

A dozen chocolate cookies cost $6

and a dozen oatmeal cookies cost $7

Answer:

No solution

Step-by-step explanation:

The given equation is [tex]3(x-8)=x+2x+7[/tex].

Kamal expanded first  and simplified the RHS to get: [tex]3x-24=3x+7[/tex]

He then subtracted 3x from both sides of the equation to get: -24=7

Since the last statement is false, it means the given equation is inconsistent.

Hence the equation has no solution.

Answer:Its No Solution i just took the Unit Test.

Step-by-step explanation:

Answer:

$12.54

Step-by-step explanation:

First, you have to apply the sale to the original price. In this case, you would have to multiply 22 and 43% to get $9.46. Now, you have to subtract 9.46 from 22 to get 12.54.

Answer: Option B

B. [tex]\frac{9}{26}[/tex]

Step-by-step explanation:

We have the following equations:

[tex]2x + \frac{4}{3}y = 1[/tex]       (1)

[tex]y -\frac{9}{13}x=9[/tex]          (2)

Let us call "a" the coefficient of the variable x in the first equation and call "b" the coefficient of the variable x in the second equation.

Then we must multiply the number "a" by a value z such that when adding [tex]az + b[/tex] the result is zero.[tex]a = 2[/tex]

[tex]b = -\frac{9}{13}[/tex]

So

[tex]2z-\frac{9}{13} = 0[/tex]

We solve the equation for z

[tex]2z=\frac{9}{13}[/tex]

[tex]z=\frac{9}{26}[/tex]

The first equation must be multiplied by a value of [tex]\frac{9}{26}[/tex]

Answer:

[tex]\boxed{27^{\circ}}[/tex]

Step-by-step explanation:

BD is a diameter of the circle, so

mDE + mAE + mAB = 180°

 63° + mAE +  90°  = 180°

          mAE + 153°  = 180°

          mAE            =    27°

The measure of arc AE is [tex]\boxed{27^{\circ}}[/tex]

Answer:

A. They are all congruent

Step-by-step explanation:

I can't seem to remember the name right now, but since X is the incenter and all of the segments are perpendicular, they are a certain kind of line segment whose name I can't remember where they are all congruent.

Answer:

A

Step-by-step explanation:

Answer:

See the procedure

Step-by-step explanation:

we know that

To find the population density per m² of each of the above species, divide the amount of each species by the total area

so

Ferns

[tex]\frac{30}{15}=2\frac{ferns}{m^{2}}[/tex]

Grass plants

[tex]\frac{150}{15}=10\frac{grass\ plants}{m^{2}}[/tex]

Oaks Trees

[tex]\frac{6}{15}=0.4\frac{oaks\ trees}{m^{2}}[/tex]

For the first one: 8.35, 8.357, 8.36, 8.361

For the second one: 12.013, 12.130, 12.301, 12.310

From least to greatest

ANSWER

[tex] \frac{( {x + 3)}^{2} }{16} - \frac{( {y + 4)}^{2} }{36} > 1[/tex]

EXPLANATION

The given non-linear function is a hyperbola with equation:

[tex] \frac{( {x + 3)}^{2} }{16} - \frac{( {y + 4)}^{2} }{36} = 1[/tex]

Since the boundary lines are dashed lines, the inequality should be either < or >.

Since the outer portion is shaded, the inequality is

[tex] \frac{( {x + 3)}^{2} }{16} - \frac{( {y + 4)}^{2} }{36} > 1[/tex]

Answer:

x = 18

Step-by-step explanation:

The equation to solve is:

[tex]\frac{x}{1.2}=15[/tex]

This basically means, "what number" (x), divided by 1.2 would give us 15??

We can cross multiply and simply solve for x:

[tex]\frac{x}{1.2}=15\\x=1.2*15\\x=18[/tex]

Correct answer x = 18

Answer:

x=18

Step-by-step explanation:

x/1.2=15

Multiply each side by 1.2

x/1.2 * 1.2 =15 * 1.2

x = 18

ANSWER

A.

[tex]\frac{ {x}^{2} - 36}{ {x}^{2} - 9 } [/tex]

EXPLANATION

The rational expression is

[tex] \frac{x + 6}{x + 3} \times \frac{x - 6}{x - 3} [/tex]

Multiply the numerators and the denominators to get:

[tex] \frac{(x + 6)(x - 6)}{(x + 3)(x - 3)} [/tex]

Recall that:

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

We apply this difference of two squares property to get:

[tex] \frac{ {x}^{2} - {6}^{2} }{ {x}^{2} - {3}^{2} } [/tex]

[tex] \frac{ {x}^{2} - 36}{ {x}^{2} - 9 } [/tex]

Answer: Option A

Step-by-step explanation:

You need to multiply the numerator of the first fraction by the numerator of the second fraction and multiply the denominator of the first fraction by de denominator of the second fraction:

[tex]\frac{x+6}{x+3}*\frac{x-6}{x-3}[/tex]

[tex]=\frac{(x+6)(x-6)}{(x+3)(x-3)}[/tex]

By definition we know that:

[tex](a-b)(a+b)=a^2-b^2[/tex]

Therefore, you get:

[tex]=\frac{x^2-6^2}{x^2-3^2}[/tex]

[tex]=\frac{x^2-36}{x^2-9}}[/tex]

Answer:

1. 48.5÷7

Step-by-step explanation:

4.85÷0.7

We can multiply both terms by 10 without changing the division problem

4.85 * 10 = 48.5

.7 * 10 = 7

48.5 ÷ 7 is the same as 4.85 ÷ .7

ANSWER

[tex]y = - \frac{3}{x + 2} [/tex]

EXPLANATION

The given parent function is:

[tex]y = \frac{1}{x} [/tex]

When this function is vertically stretched by a factor of 3, then we have

[tex]y = \frac{3}{x} [/tex]

A reflection across the y-axis transforms the function to;

[tex]y = - \frac{3}{x} [/tex]

When the resulting function is shifted to the left, the transformed function becomes;

[tex]y = - \frac{3}{x + 2} [/tex]

when solving a system of equations the difference between that and elimination is the when you're using the Elimination u have to first multiply the numbers but when substituting it's different unlike the Elimination this is all ik and can u mark me brainliest?

Answer:

x = 40 units.

Step-by-step explanation:

Corresponding sides of the 2 prisms are in the same ratio , so:

x / 20 =  10 / 5

x/ 20 = 2

x = 2 * 20

x = 40 units.

ANSWER

The correct choice is A.

EXPLANATION

If the the two prisms are similar, then their corresponding sides are in the same proportion;

This implies that

[tex] \frac{x}{20} = \frac{6}{3} [/tex]

We simplify to get;

[tex] \frac{x}{20}=2[/tex]

We now multiply both sides by 20 yo obtain;

[tex] \frac{x}{20} \times 20 = 2 \times 20[/tex]

We simplify and multiply out to get:

[tex]x = 40[/tex]

Therefore the value of x is 40 units

whenever you have say a multiplication of a binomial or any polynomial, you can simply multiply each term of one by the other's terms, namely

(a+b)*(c+d+e)  => a(c+d+e) + b(c+d+e), and then add like-terms.

[tex]\bf \stackrel{length}{(6x+1)}\stackrel{width}{(3x+1)}\implies 6x(3x+1)+1(3x+1)\implies (18x^2+6x)~~+~~(3x+1) \\\\\\ 18x^2+6x+3x+1\implies \stackrel{\textit{adding like-terms}}{18x^2+9x+1}[/tex]

Answer:60

Step-by-step explanation:40/8 =5 so that means he can walk 5 dogs per hour and if you times 5 by 12 you get 60 as your answer.

Answer:

Ken can walk 60 dogs in 12 hours.

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other, the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

So, [tex]x=\frac{c*b}{a}[/tex]

In this case it is direct magnitudes, so that the three direct rule can be applied as follows: if Ken can walk 40 dogs in 8 hours, how many Ken dogs can he walk in 12 hours?

[tex]number of dogs=\frac{12 hours*40 dogs}{8 hours}[/tex]

number of dogs= 60

So, Ken can walk 60 dogs in 12 hours.

Answer:

[tex]\frac{35}{2}[/tex]

Step-by-step explanation:

To solve this problem we need to write the mixed fraction as a fractional number, as follows:

[tex]3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}[/tex]

[tex]5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]

Then, evaluating the expression:

[tex]\frac{10}{3}[/tex]×[tex]\frac{21}{4}[/tex] = [tex]\frac{210}{12}[/tex] =  [tex]\frac{35}{2}[/tex]

Answer:

y= 4x -2

y= x + 4

Step-by-step explanation:

To find equation for Data set A  and B , pick any two points from the table

(-1,-6)  and (1,2)

To find equation use y=mx+b

where m is the slope and b is the y intercept

[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{2+6}{1+1} = 4[/tex]

Use point slope formula, use (1,2)

y-y1=m(x-x1)

y - 2= 4(x-1)

y-2= 4x-4 (add 2 on both sides)

y= 4x -2

(-2,2) and (0,4)

To find equation use y=mx+b

where m is the slope and b is the y intercept

[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{0+2} = 1[/tex]

Use point slope formula, use (0,4)

y-y1=m(x-x1)

y - 4= 1(x-0)

y - 4=x (add 4 on both sides)

y= x + 4

Answer:

d = 576

Step-by-step explanation

Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.

Let the time traveled by the fast car = t

Let the time traveled by the slower car = t+4

Let the rate of travel of the slow car = 36 mph

Let the rate of travel of the fast car = 48 mph

===========

d = 36*(t + 4)

d = 48 * t

Since the distance is the same, they can be equated.

48t = 36(t + 4)           Remove the brackets.

48t = 36t + 144          Subtract 36t from both sides.

48t - 36t = 144           Combine

12t = 144                     Divide by 12

t = 144/12

t = 12

Therefore the faster car takes 12 hours to get where it is going.

d = 48 * t

d = 48 * 12

d = 576

Answer:

28

Step-by-step explanation:

3+5^2

3+25

28

Answer:

28

Step-by-step explanation:

5^2=5*5

5*5=25

25+3=28

Answer:

The answer is 40(1.25 – t) C.

Step-by-step explanation:

That's the answer for e2020 students!!

Answer:

c

Step-by-step explanation:

big brain

Let y equal to

the total fare and x is the mile of taxi ride. So the equation is

Y = 0.55x + 1.75

Since Susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

X = 15 miles of

taxi ride

So the system of

inequality is

10 < 0.55x +

1.75

X > 2

Answer:

NO

Step-by-step explanation:

No, it's not a function

One input has more than one output.

Answer:

Step-by-step explanation:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

From the graph for values of -4 < x < 4 we have two values.

Examples:

for x = 0 we have two values -4 and 4

Answer: Anything greater than 4. (5, 6, 7, etc.) Which can be represented as x>4

Step-by-step explanation: Solve this as an equation. Draw a line through the inequality line. Add 4 to the 0, so it's now x>4. The x must be greater than 4.

Answer:

for four copies the cost is $72

Step-by-step explanation:

52 + 5a = 24 + 12a

28 + 5a = 12a

28 = 7a

a = 4

52 + 20 = 72

for four copies the cost is $72

If the probability of even is 1/4 that is a quarter. A quarter of 120 is 120/4= 30 times

Answer:

Step-by-step explanation:

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

r - radius

We have r = 11. Substitute:

[tex]C=2\pi(11)=22\pi[/tex]

[tex]\pi\approx3.14\to C\approx(22)(3.14)=69.08[/tex]

The answer is B.

Hope this helps :)

Answer:

[tex]r=\frac{7}{3}[/tex]

Step-by-step explanation:

When given the equation

[tex]\frac{r}{72} =\frac{3}{9}[/tex]

We must multiply each side by 72 in order to isolate r.

[tex]r =\frac{3}{9}*\frac{7}{1} \\\\r=\frac{21}{9} \\\\r=\frac{7}{3}[/tex]