Ellis is counting license plates while her family is on a road trip. She has counted 111 plates each from 8 different states. Estimate how many license plates Ellis has counted in all. Round the larger factor to the nearest hundred to estimate.

[tex] {4x}^{2} + 3x - 10[/tex]

1. Use foil method.

[tex] {4x}^{2} 5x + 8x - 10[/tex]

2. Collect like terms.

[tex] {4x}^{2} + ( - 5x + 8x) - 10[/tex]

3. Simplify.

[tex] {4x}^{2} + 3x - 10[/tex]

Therefor, the answer is.

[tex] {4x}^{2} + 3x - 10[/tex]

Answer:

(x+2)(4x−5)=4x2+3x−10.

Step-by-step explanation:

 multiply (x+2)(4x−5)

using FOIL.

((x)+(2))((4x)+((−1)5))=(x)⋅(4x)+(x)⋅((−1)5)+(2)⋅(4x)+(2)⋅((−1)5)=

=(4x2)+(−5x)+(8x)+(−10)=

=4x2+3x−10

Answer:

Look at picture attached

Step-by-step explanation:

I have created the graph on DESMOS. I recommend you use that website as it helps a lot with visualizing graphs :)

Edit: The second attachment shows the point you can plot.

Answer:

x=6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

11=x+5 so 5+ what = 11 so, 6

Answer:

x = -5

Step-by-step explanation:

If g(x) = 22 and g(x) = -4x + 2, then -4x + 2 = 22.

Isolate x.

-4x = 22 - 2

= -4x = 20

= x = 20 ÷ -4

= x = -5

Answer:

The correct options are;

A. [tex]-\dfrac{8}{3} \ miles[/tex]

D.  [tex]2\dfrac{2}{3} \ mile[/tex] below sea level

Step-by-step explanation:

The given parameters are;

The distance Sasha travels down before a stop = -2/3 mile

The level at which Sasha starts to hike into the canyon = Sea level

Therefore, we have;

Her elevation at the fourth rest station = 4 × -2/3 mile = -8/3 miles

Therefore, we have;

-8/3 mile = [tex]2\dfrac{2}{3} \ mile[/tex] below sea level

Therefore, the correct options are;

-8/3 mile and  [tex]2\dfrac{2}{3} \ mile[/tex] below sea level.

Complete question :

Anna has a box of chocolates. In the box there are milk, plain and white chocolates in the ratio 4:3:2. The box contains 72 chocolates altogether. Anna doesn't like white chocolates. Work out the probability that she will pick a chocolate that is not white?

Answer:

7 / 9

Step-by-step explanation:

Calculate the number of each type of chocolate :

Milk : plain : white = 4 : 3 : 2

Total ratio = (4 +3 +2) = 9

Milk = (4/9) * 72 = 32

Plain = (3/9) * 72 = 24

White = (2/9) * 72 = 16

Probability of picking a chocolate that is not white :

Number of non-white :

(plain + milk) = (24 + 32) = 56

Probability = (required outcome / Total possible outcomes)

P(not white chocolate) = (number of non-white / total number of chocolates)

= 56 / 72

= 7 / 9

Answer: x = -0.2651 and y = -0.9759

Step-by-step explanation:

Solution by substitution method

8x+5y= -7

-7x+6y= -4 = 7x-6y=4

Suppose,

8x+5y=-7→(1)

7x-6y=4→(2)

Taking equation (1), we have

8x+5y= -7

⇒8x= -5y -7

⇒x= -5y-7 / 8 →(3)

Putting x= -5y-7 / 8

in equation (2), we get 7x-6y=4

7(-5y-7/8)-6y=4

⇒-35y-49-48y=32

⇒-83y-49=32

⇒-83y=32+49

⇒-83y=81

⇒y= 81 / -83

⇒y= -0.9759→(4)

Now, Putting y= -0.9759 in equation (3), we get

x= -5y-7

x= -5(-0.9759)-7/8

⇒x= 4.8795-7/8

⇒x= -2.1205/8

⇒x= -0.2651

∴x= -0.2651 and y = -0.9759

Answer:

let natural no be x

(x-20)=96/x

x²-20x-96=0

x²-24x+4x-96=0

x(x-24)+4(x-24)=0

(x-24)(x+4)=0

either

x=24

x=-4

Answer:

16

Step-by-step explanation:

18-16÷8

18-2

16

order of operation

power division thn subtraction

Answer:

4

Step-by-step explanation:

you have to solve the power first

18-(4*4)/8

18-16/8

2/8

4

Answer:

m = -5

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

Here, we want to get the value of x

To get the value of x, we need to know the kind of relationship that exists between the two given angles

Both angles lie on a straight line and that means they are supplementary

What this mean is that they add up to 180

(5x-7) + (3x + 27) = 180

5x -7 + 3x + 27 = 180

5x + 3x -7 + 27 = 180

8x + 20 = 180

8x = 180-20

8x = 160

x = 160/8

x = 20

Answer: z = -3

Step-by-step explanation:

2/3z = -2

2z = -6 (Multiply both sides by 3)

z = -3 (Divide both sides by 2)

Answer:

46050

Step-by-step explanation:

75x614

Answer:

$8.20

Step-by-step explanation:

614 divided by 75 is 8.18666666667. Rounded to the nearest tenth is 8.2.

Answer: f(-4) = 17

Step-by-step explanation: Substitute (-4) for x.

9 feet hope this helps!!! :D may i have brainliest?

Answer: REMEMBER (X, Y)

x(4 1/4, 0)

y(0, -5 2)

Step-by-step explanation:

Find the x-intercept

To find x intercept subtract y equals 0

4 x - 3 × 0 = 17

Any equation multiplied by  0 equals 0

4x - 0 = 17

When adding or subtracting zero quality does not change

4x = 17

Divide both sides of the equation by 4

x = 17/4

Solution

X = 17/4

Alternate form

X = 4 1 / 4, x = 4.25

Find y-intercept

To find y intercepts subtract x equals 0

4 × 0 - 3y = 17

Solve the equation for y

Y = -17 / 3

Solution

y = -17 / 3

Alternate form

y = -5 2 / 3, y = -5.6

Answer:

Step-by-step explanation:

8p < -3

You must isolate P

In order to do this, you need to get rid of anything on that side.

P is being multiplied by 8, so you must do the inverse in order to get rid of it.

The opposite of multiplying is dividing, so divide BOTH sides by 8.

8p / 8 < -3 / 8

You are left with:

p < -3 / 8

That is the answer

Answer:

b. 144 degrees

Step-by-step explanation:

(n-2)(180)

10-2=8

8*180=1440

The polygon has 10 sides so divide by 10

1440/10= 144

Answer:

6

Step-by-step explanation:

I think this is the answer but I'm not sure

Answer:

[tex]2cos120°-x sin120°. cos180°= x tan150° \\ 2( - \frac{1}{2} ) - x( \frac{ \sqrt{3} }{2} ) \times ( - 1) = x{\frac{ \sin( 150°)}{ \cos(150°)}} \\ ( - \frac{2}{2} ) - \frac{ \sqrt{3} }{2}x \times ( - 1) = x \frac{ \frac{1}{2} }{ - \frac{ \sqrt{3} }{2} } \\ - 1 - ( - \frac{ \sqrt{3} }{2}x) = x( \frac{1}{2} \times ( - \frac{2}{ \sqrt{3} } )) \\ - 1 + \frac{ \sqrt{3} }{2} x = ( - \frac{2}{2 \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x = ( - \frac{1}{ \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x =( \frac{ \sqrt{3} }{ \sqrt{3} } )( - \frac{1}{ \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x = - \frac{ \sqrt{3} }{3} x \\ 6( - 1 + \frac{ \sqrt{3} }{2} x) = 6( - \frac{ \sqrt{3} }{3} x) \\ - 6 + \frac{6 \sqrt{3} }{2} x = - \frac{6 \sqrt{3} }{3} x \\ - 6 = \frac{ - 6 \sqrt{3} }{3}x - \frac{6 \sqrt{3} }{2} x \\ - 6 = (- 2 \sqrt{3})x - (3 \sqrt{3})x \\ - 6 = - 5 \sqrt{3} x \\ x = \frac{ - 6}{ - 5 \sqrt{3} } \\ x = \frac{ 6}{5 \sqrt{3} } \\ x = \frac{6}{5 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ x = \frac{6 \sqrt{3} }{5 \times 3} \\ x = \frac{2\sqrt{3} }{5} [/tex]

Answer:

(2√3 )/5is he value of x.thank you.

Answer:

The giraffe will be 2 inches

Step-by-step explanation:

If we know that if the scale is 1/2 inch to 5 feet we simply just have to divide the height of the giraffe by 5 feet and then multiply it by 1/2 inches. So we do...

20feet / 5 feet x 1/2 inches = 4 x 1/2inches = 2 inches

Answer:

Let H be height of a cliff

h depth of the pond

Total distance traveled (S)= H+h

S=20+13

S=33m

Step-by-step explanation:

Answer:

33 meters is the total distance

Step-by-step explanation:

the distance between the two points is 33 it does not matter if the distance is off the cliff or underwater it's still 20+13=33

Answer:

25xwith an exponent of 2 minus 16y with an exponent of 2

Answer: 140

Step-by-step explanation: since 4 = 40 then 2 would also be 40 because they are the same angle (Keep in mind that a line is 180 degrees) 180-40=140! Good luck! :D

Answer:8/9

Hope this helps!!!!!!!

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Answer:

A-Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B

Step-by-step explanation:

The person who is correct is Tomas.

A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle. The opposite side is the side that faces an angle. The adjacent side is the third side.

Using angle B:

Please find attached the required diagram. To learn more about right triangles, please check: https://brainly.com/question/3197230

meh not good at this

Answer:

WHAT IS HE SAYING?!

SOMEONE TELL ME WHAT HE'S SAYING, I DON'T SPEAK TACO BELL.

Explanation:

978/33