The points plotted below are on the graph of a polynomial. In what range of x- a values must the polynomial have a root? Check all that apply. A. -2 to -1 B. -1 to 0 C. -3 to-2 D. 1 to 2 E. -4 to -3 F. O to 1​

Answer:

Karen= 35 messages

Lamar= 25 messages

John= 100 messages

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]

Let the number of messages Karen, Lamar and John send be K, L and J messages respectively.

[tex]\textcolor{steelblue}{\text{\textcircled{2} Form equations with given information}}[/tex]

K +L +J= 160 -----(1)

J= 4L -----(2)

L= K -10 -----(3)

[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve by substitution}}[/tex]

Substitute (3) into (2):

J= 4(K -10)

J= 4K -40 -----(4)

Substitute (3) and (4) into (1):

K +(K -10) +(4K -40)= 160

Simplify:

6K -50= 160

6K= 160 +50

6K= 210

Divide both sides by 6:

K= 210 ÷6

K= 35

Substitute K= 35 into (3):

L= 35 -10

L= 25

Substitute L= 25 into (2):

J= 4(25)

J= 100

[tex]\textcolor{steelblue}{\text{\textcircled{4} Concluding statement}}[/tex]

Thus Karen, Lamar and John sent 35, 25 and 100 messages respectively.

Answer:

30 pesos

Step-by-step explanation:

Given

Solving

Answer: [tex]\frac{4}{7}[/tex]

Step-by-step explanation:

P(a) or P(b) = P(a) + P(b)

This means that the probability of a or b is the same of the probability of a plus b

So let's see the probability of a, selecting a professor

[tex]\frac{12}{12+6+9+8} \\\\\frac{12}{35}[/tex]

We won't simplify just yet so that addition will be easier later

Now let's see the probability of selecting b, an instructor

[tex]\frac{8}{12+6+9+8} \\\\\frac{8}{35}[/tex]

Now add the 2 probabilities together

[tex]\frac{12}{35} +\frac{8}{35} =\frac{20}{35}[/tex]

Simplify.

[tex]\frac{20}{35} =\frac{4}{7}[/tex]

$. 101.08

[tex]SUPERFACE=(4.5)(3.75)ft^2[/tex]

                        [tex]=16.875ft^2X[/tex]

[tex]Cos:\$5.99\times \frac{1}{At^2}\times16.875{\rm ft}^2[/tex]

[tex]Cost=\$101.08y.[/tex]

I hope this helps you

:)

Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.

In that case we use the concept of area of rectangle.

The area of a rectangle is the measure of the size of the surface enclosed by a rectangle in a two-dimensional plane. It is calculated by multiplying the length of the rectangle by its width.

In mathematical terms, the formula for calculating the area of a rectangle is:

Area = Length x Width

To find the area of the shower floor, we need to convert the blueprint measurements to actual measurements.

1 inch on the blueprint represents 3 feet, so:

Height of shower floor = 1.25 inches * 3 feet/inch

Height of shower floor = 3.75 feet

Width of shower floor = 1.5 inches * 3 feet/inch

Width of shower floor = 4.5 feet

The area of the shower floor is then:

Area = Height * Width

Area = 3.75 feet * 4.5 feet

Area = 16.875 square feet

So the cost of tiling the bathroom would be:

Cost = Area * Cost per square foot

Cost = 16.875 square feet * $5.99/square foot

Cost = $100.86

Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.

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Answer:

Step-by-step explanation:

Scale factor = 4 : 500

                    = 1 : 125

Let the length of hall in her plan = x cm

1 : 125 = x : 1050

[tex]\sf \dfrac{1}{125}=\dfrac{x}{1050}[/tex]

Cross multiply,

1*1050 = x*125

[tex]\sf x =\dfrac{1050}{125}[/tex]

x = 8.4 cm

The length of the hall in her plan = 8.4 cm

Answer:

2/5 :)

Step-by-step explanation:

The weight of the third heaviest among the four dogs is 2 kg.

An equation is an expression that shows the relationship between two or more numbers and variables.

The 4 dogs weight is 60 kg with each dog weight been different. The second heaviest dog weighs 28 kg.

Let the heaviest dog be 29 kg, the third heaviest be 2 kg and the fourth be 1 kg.

29 + 28 + 2 + 1 = 60 kg

The weight of the third heaviest among the four dogs is 2 kg.

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It will be around 1.6metres

hope it helps

Answer:

1.65 meters

Step-by-step explanation:

1 ft = 0.3048 meters

just multiply

Answer:   1/2 x 1 = 1/2

                 1/3 x 3 = 1  

Step-by-step explanation: 100% Sure! :D

Answer:

150 miles

Step-by-step explanation:

speed = 120 km per hour

1 mile = 1.6 km

speed = 120 km per hr

divide 120 with 1.6 to get in miles=120/1.6

= 75 miles per hour

speed = 75 miles per hour

So, in 1 hr, it can travel 75 miles

the distance traveled by car in 2 hours = 75 * 2 = 150

Result : Speed = 75 miles per hour , distance = 150 miles

The expression that can be used to show the relationship between the number of days and the total dollars (t) he spends is t = 30d

The equation:

Total = cost per day × number of days

t = 30 × d

t = 30d

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Since the price of the ribbon is 17 cents per yards, the number of yards of ribbon Ann bought is 27 yards.

She has 15 dollars in her debit card.

She bought bulk ribbons at a craft store.

The price of the ribbon is 17 cents per yards. Therefore,

17 cents = 0.17 dollars

Hence,

Amount debited from her account  = 15  - 10.41 = $4.59

Therefore, she spent a total of $4.59 .

The yards of ribbon bought = 4.59 / 0.17

The yards of ribbon bought = 27

Therefore, Ann bought 27 yards of bulk ribbon.

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Answer:

The first x=4       y=8

Step-by-step explanation:

2x-5 = y-5

x+1 = y-3

  Multiply the second by -2(to eliminate x)

  2x-5 =y-5

 -2x-2= -2y+6

      ADD BOTH

-7 = -y+1

y=8

            PLUG y

x+1 =y-3

x+1 =8-3

x+1=5

x=4

Answer:

Below in bold.

Step-by-step explanation:

y = -4x2 + 8x - 13

Divide first 2 terms by -4:-

y = -4(x^2 - 2x) - 13

Convert to vertex form by completing the square:

y = -4[(x - 1)^2 - 1] - 13

y = -4(x - 1)^2 + 4 - 13

y = -4(x - 1)^2 - 9     <---------- Vertex form

y =  a(x -  j)^2 + k       <---------- General form with vertex = (j, k).

So comparing, we see that the vertex is   (1, -9).

Answer:The probability as a decimal to the nearest hundredth is 0.89

Step-by-step explanation:

i just did it and got it right

The probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89

"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are."

"A decimal is a fraction written in a special form. Instead of writing [tex]\frac{1}{2}[/tex], for example, you can express the fraction as the decimal 0.5, where the zero is in the ones place and the five is in the tenths place."

We have

Customers paid cash = 93

Customers used debit card = 7

Customers used credit card = 5

Number of favorable outcomes n(S)

= 93

Total number of outcomes n(E)

= 93+7+5

= 105

The probability that the next customer will pay with cash

= [tex]\frac{n(S)}{n(E)}[/tex]

= [tex]\frac{93}{105}[/tex]

= [tex]0.885[/tex]

= 0.89 (nearest hundredth)

Hence, the probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89.

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7) 7bc cubed

8) 6x to the power 8

With the frequecy distribution shown in the 50 cities of pakistan,

= highest value - lowest value

= 26.5 - 8.5

= 18

= ∑ f x / ∑ f

= ∑ f x / N

= 905 / 50

= 18.1

median

= lower limit + ( N/2 - C ) * h / ( frequency of the class interval )

C = cumulative frequency preceeding to the median class frequency

h = class interval

= 18.5 + ( 50 / 2 - ( 5 + 12 ) ) * 3 / 18

= 18.5 + 1.3333

= 19.8333

The mode is the value with the highest frequency occurence. This is under class 18 - 20

mode = lower limit + ( ( f1 - f0 ) / (2*f1 - f0 - f2 ) ) * h

f1 = fequency of the modal class

f0 = freqency of the preceeding modal class

f2 = frequency of the next modal class

h = class interval

= 18.5 + ( ( 18 - 12 ) / (2 * 18 - 12 - 8 )  ) * 3

= 18 + ( 0.375 ) * 3

= 19.125

= sqrt ( 1 / N ∑ f ( x - x' )^2 )

= sqrt (1  / 50 * 706.5

= 3.7589

=  standard deviation / mean

= 3.7589 / 3

= 1.2530

= ( standard deviation )^2

= ( 3.7589 )^2

= 14.1293

=  ∑ f ( x - x' )^4 / ( N * ( standard deviation )^4 )

= 27459.405 / ( 50 * 3.7589^4 )

= 2.7509

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The figure given in the image is a cuboid which have 3 sides, with Length, breadth and height, it's basically a 3-D shape, so here for volume of the cuboid, we can just multiply all the sides and we will be just done then after writing the SI unit of volume against it

[tex]{:\implies \quad \sf So,\:\: Volume=4\dfrac{2}{5}\times 10\times 3}[/tex]

[tex]{:\implies \quad \sf Volume=\bigg(\dfrac{20+2}{5}\bigg)\times 10\times 3}[/tex]

[tex]{:\implies \quad \sf Volume=\dfrac{22}{5}\times 10\times 3}[/tex]

[tex]{:\implies \quad \sf Volume=22\times 2\times 3}[/tex]

[tex]{:\implies \quad \sf Volume=44\times 3=\boxed{\bf{132\:\: m^{3}}}}[/tex]

Answer:

40 eggs

Step-by-step explanation:

(12 x 3) + 4 = x

36 + 4 = x

40 = x

40 eggs total

Answer:

a) 37º

b) 143º

c) 2x - 5 = 143

Step-by-step explanation:

a) Angles 5 and 7 are vertical angles and therefore have the same measurements.

b) Angles 5 and 6 form a straight line and are therefore supplementary (add up to 180º). 180 - 37 = 143.

c) We found the measure of angle 6 is 143º in part b. We can set that equal to 2x - 5. Therefore the equation is 2x - 5 = 143.

Answer:B

Step-by-step explanation:the slope is 1/4, and it crosses the y axis at -2.

Answer:

Step-by-step explanation:

1.  If y =2x

solve for y in (6x +3y) = 12

6x + 3(2x) = 12,   6x + 6x =12

12x = 12 ,  x= 1

to find y ,   from y =2x

y = 2(1)  , ( x = 1 and y = 2)

2.  y = -4x + 2

    y = 6x -8

y = (-4x + 2)(6x-8)

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

-24[tex]x^{2}[/tex] + 32x + 2(6x-8)

-24x2 + 44x - 16

3.  y = x -4

  -4x -6y = -16

  -4x - 6(x - 4) = -16

 -4x - 6x - 24 = -16

-10x - 24 = -16

-10x = -16 + 24,   -10x = -8

x = 0.8 , to get y , we input x value into eqn(y = x-4)

y = 0.8 -4,   y = -3.2

x = 0.8,   y = -3.2.

4.  x = 3y + 1

 2x + 4y =12

2(3y + 1)  + 4y = 12

6y + 2 + 4y = 12

10y + 2 = 12

10y = 12 -2

10y = 10

y = 1,  to get x

x = 3y + 1

x = 3(1) + 1 ,  x = 4

( x = 4 and y = 1).

Answer:

The answer to the problem is 4 1/2

Answer:

9/2

Step-by-step explanation:

the answer is 9/2 or 4.5,

the solution for that I have attached below

Answer: 5a+23

Step-by-step explanation: Let us combine like terms. -7a + 12a = 5a, and 17 + 6 = 23, thus it is 5a + 23.

Answer:

slay

Step-by-step explanation:

slay

Rewrite 2 1/8 as 17/8

Now subtract:

17/8 - 6/8 = 11/8 = 1 3/8

answer : 1 3/8 miles left

C. How much of the first payment on the mortgage is applied to the principle

Answer:

it’s 3 x 2x 5 = 30

Then use that product and times it by 10. ( 10 x 30 )

Ans = 300 cubic centimeters

Step-by-step explanation:

3 x 5 x 2 = 30

30 x 10 = 300

Ans = 300 cubic centimeters

Answer:

The probability is probably about 55%

Step-by-step explanation: