The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum. 8(x − 11)2 − 56 8(x − 11)2 + 56 8(x2 − 22x + 128) 8(x2 − 22x) + 128

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Answer:

There are 2 chickens and 14 cows.

Equations:

2x + 4y = 60

x + y = 16

Step-by-step explanation:

2x + 2y = 32

Substituting now:

32 + 2y = 60

2y = 28

y = 14

x = 16 - 14 = 2

Answer:

16 chickens 7 pigs

Step-by-step explanation:

Explanation:

The left-most point is at (-3,-2). The x coordinate is all we're concerned with here. The x coordinate for this point is x = -3. This is the smallest x value possible as an input. We cannot have x = -4 as that is nowhere on the blue curve.

So the domain is the set of real numbers x such that x is -4 or larger

In set builder notation, that would look like [tex]\{x|x\in\mathbb{R}, \ x \ge -3\}[/tex]

In interval notation, we would say [tex][-3, \infty)[/tex] to indicate to the reader "have an interval from -3 to positive infinity; include the endpoint -3"

Answer:

the answer will be

all real numbers greater than or equal to -3

which is d

Step-by-step explanation:

plz give me a Brainliest

thank you

hope it helped:)

Answer:

0

Step-by-step explanation:

Reciprocal of -9/2 = -2/9

Reciprocal of 5/18 = 18/5

Multiplying both:

=> [tex]\frac{-2}{9}*\frac{18}{5}[/tex]

=> [tex]\frac{-2*2}{5}[/tex]

=> -4/5

Additive Inverse of -4/5 = 4/5

So, Adding both of them:

=> [tex]-\frac{4}{5} + \frac{4}{5}[/tex]

=> 0

Answer:

45

Step-by-step explanation:

-2/9 x 18/5 + 4/5 = 45

hope I'm right

Answer:

<1 = <3 = 141

<4 = <2 = 39

Step-by-step explanation:

Angle 2 and angle 4 are vertical angles and vertical angles are equal

<4 = <2 = 39

<4 + <1 = 180 since they form a straight line

39+ <1 = 180

<1 = 141

<1 and <3 are vertical angles so they measure the same

<1 = <3 = 141

Answer:

this is answer

you are welcome

Answer:

Step-by-step explanation:

Since the drawing is in millimeters (mm), and the scale is 1 cm to 1 m, then, considering that 10 mm equal 1 cm, we can easily convert the given values to cm by simply dividing the numbers by ten, and then use those numbers as real meters based on the

Answer:

y2 = m(x2-x1)+y1

Step-by-step explanation:

Given the formula for finding the slope of a linear equation to be;

m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)

To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:

m = y2-y1/x2-x1

Cross multiplying

m(x2-x1) = y2-y1

mx2-mx1 = y2-y1

Adding y1 to both sides of the equation we have;

mx2-mx1 + y1= y2-y1+y1

y2 = mx2-mx1 + y1

y2 = m(x2-x1)+y1

This gives the resulting equation to solve for y2

Answer:

c

Step-by-step explanation:

edg

Answer:

64 mph

Step-by-step explanation:

80 divided by 1.25 equals 64

1.25 is the decimal version of 1 and 1/4

Answer:

80/ 1 1/4

Step-by-step explanation:

Also CALM DOWN JAMAL DONT PULL OUT THE 9

Answer:

-9 degrees

Step-by-step explanation:

According to integer rules, the question involving subtraction. We form the statement: 3 - 12

Here, to make it simply, we do normal subtraction (12 - 3) and we add a negative sign.

Hope it helps and please mark as the brainliest

Answer:

720 cherries

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

Cherries Cherie pie

240 = 3

X = 9

The known number of cherries will be given as x then u cross multiply

3×X=240×9

3X=2,160

Divide both sides by 3

3/3X=2,160/3

X=2,160/3

X=720

This implies that the number of cherries needed to make 9 cherry pie is 720

I hope this help

Answer:

It is proved that 2PQ + 2SR + 2QR + 2 PS = 4(2(OP)+2(OQ))

Step-by-step explanation:

In a rhombus, all sides are equal.

Thus, in this question;

PQ = SR = QR = PS

By inspection, QS is the same dimension as the four sides. So, QS = PQ

Thus, OQ = PQ/2

For OP, we can find it using Pythagoreas theorem since the angle that divides the diagonals is 90°

Thus;

|OP|² + |OQ|² = |PQ|²

Earlier, we saw that;OQ = PQ/2

Thus;

|OP|² + |PQ/2|² = |PQ|²

|OP|² = |PQ|² - |PQ/2|²

|OP|² = |PQ/2|²

Taking square root of both sides, we have;

OP = PQ/2

So,going back to the question, on the right hand side, we have;

4(2(OP) + 2(OQ))

Let's put,

PQ/2 for OQ and OP as gotten earlier

So,

4(2(PQ/2) + 2(PQ/2)) = 4(PQ + PQ)

Since PQ = SR = QR = PS, we can rewrite as;

4PQ + 4PQ = (PQ + SR + QR + PS) + (PQ + SR + QR + PS) = 2PQ + 2SR + 2QR + 2 PS

This is equal to the left hand side, so the equation is proved correct.

Answer:

65 mph

Step-by-step explanation:

divide

ex: 195 ÷ 3 = 65mph

260 ÷ 4 = 65mph

Answer:

c

Step-by-step explanation:

i would answer you're question. i'm trying to work it out but i'm not really understanding it. :(

Answer:

48 + 12√3 units

Step-by-step explanation:

ALL LENGTHS MUST BE POSITIVE (I did this to avoid writing ± and showing that only + works)

1. Find AD (you'll find why later): 15² = 9² + AD² --> AD² = 144 --> AD =  12

2. 30-60-90: 12-DC-AC --> AC = 24, DC = 12√3 (side opposite of 90 is double side opposite of 30, side opposite of 60 is √3 times the opposite of 30)

P = AB + BD + DC + AC = 15 + 9 + 12√3 + 24 = 48 + 12√3 units

The perimeter of the given triangle ABC will be 59 units.

The space covered by the triangle in the two-dimensional plane will be the area of the triangle. The sum of all the sides of the triangle is called the perimeter of the triangle.

The perimeter of the triangle will be calculated as:-

First, we will calculate the perpendicular AD by using the Pythagorean theorem:-

AD  = √( 15²  -  9² )

AD  = √144

AD  =   12 units

Now we will calculate the Side AC by angle property:-

Sin 30  =  12  /  AC

AC  =  12   /  Sin 30

AC  =  12 / 0.5  =  26

The perimeter will be the sum of the all the sides of the triangle:-

P  =  AB  +  BC  +   AC

P  =  15  +  18  +  26

P   =  59 units.

Therefore the perimeter of the given triangle ABC will be 59 units.

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Answer:

y ≥6

Step-by-step explanation:

Answer:

x = 6.5

Step-by-step explanation:

2x - 3 = 10

2x = 10 + 3

2x = 13

x = 6.5

Answer:

Small piece is 4.3

Large piece is 5.7

Step-by-step explanation:

Let small piece be x

Large piece will be 2x-3

x + 2x - 3 = 10

3x -3 = 10

x = 13/3

Large piece will be 2*13/3 -3 = 17/3

Answer:

Option (3)

Step-by-step explanation:

There are two inequalities graphed in the figure attached.

1). Solid line having shaded above the solid line (passing through origin) will be represented by the equation,

[tex]y\geq -\frac{1}{2}x[/tex]

2). Another dotted line having shaded area below the line will be represented by the inequality,

[tex]y<\frac{1}{2}x+1[/tex]

Common shaded area of these inequalities will be the solution area.

All the ordered pairs lying in this area will be the answer.

In the given options,

Ordered pairs given in Option (3) lie in the common shaded area.

Answer:

C

Step-by-step explanation:

got it right

Answer:

They are placed in right order (quite interesting).

Step-by-step explanation:

Just drag each answer choice as they are placed.

Best Regards!

Answer:

Angle 1 = 110 degrees

Angle 2 = 70 degrees

Angle 3 = 100 degrees

Angle 4 = 80 degrees

Step-by-step explanation:

We will first of all search for the pieces of information given in the question that can help us to solve the problem.

From the diagram, we can see that angle 3 and angle 4 are already given as

Angle 3 = 100 degrees

Angle 4 = 80 degrees

The value of angle 1 has already been supplied as 110 degrees. This leaves us with angle 2 to find.

Recall that the angles in a straight line all sum up to 180 degrees. angle 1 and 2 are on the same straight line, hence angle 2 can be found by solving 180 - 110 = 70 degrees

Angle 2 = 70 degrees

Answer:

r = 6.69 inches

Step-by-step explanation:

We have,

Marcus is building a model of Earth using a sphere with a surface area of [tex]400\pi\ \text{inch}^2[/tex].

It is required to find the radius of the sphere Marcus is using for his model.

The surface area of a circular shaped object is given by :

[tex]A=\dfrac{4}{3}\pi r^3[/tex]

r is radius

[tex]r=(\dfrac{3A}{4\pi})^{1/3}\\\\r=(\dfrac{3\times 400\pi}{4\pi})^{1/3}\\\\r=6.69\ \text{inch}[/tex]

So, the radius of the sphere is 6.69 inches.

Answer:

- 8

Step-by-step explanation:

Note that [tex]\frac{dy}{dx}[/tex] is the slope of the tangent at x = a

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

y = 3x² - 2x + 5, then

[tex]\frac{dy}{dx}[/tex] = 6x - 2

x = - 1 : [tex]\frac{dy}{dx}[/tex] = 6(- 1) - 2 = - 6 - 2 = - 8

Answer:

Correct option: c) infinitely many solutions

Step-by-step explanation:

We have an equation with two variables, so as we have a system with less equations (just one) than variables (two), we have an infinite number of solutions.

To find some solutions, we can choose values for x and then just calculate the value of y:

x = 0:

-11y = 10 -> y = -10/11

x = 1:

3 - 11y = 10 -> y = -7/11

x = 2:

6 - 11y = 10 -> y = -4/11

And so on.

So the correct option is c): infinitely many solutions

A linear equation is something of the form:

y = a*x + b

Where the solutions are the pairs (x, y) such that the equality is true.

Here we will find that the correct option is c: infinitely many solutions.

In this case, we have the equation:

3x - 11y = 10

We can rewrite this as:

3x = 10 + 11*y

x = 10/3 + (11/3)*y

Ok, now we have one variable on each side, now let's see the number of solutions.

As you can see, we have one equation with two variables.

So if for example we take y = 0, we get:

x = 10/3 + (11/3)*0 = 10/3

So one solution is (10/3, 0)

If we take y = 1, we get:

x = 10/3 + (11/3)*1 = 22/3

Then another solution is (22/3, 1)

And as you can see, y can take any real value. So we have infinite values of y.

This also means that we have infinite values of x (as we have one value of x for each value of y). Then we will have infinite solutions for the linear equation.

The correct option is c.

If you want to learn more, you can read:

https://brainly.com/question/16843611

Answer:

-17/14

Step-by-step explanation:

To subtract fractions, you must have a common denominator. If that is not given, you make it.

You do so buy finding the LCM of denominators:

LCM of 7 and 2 = 14

Now, here you have multiplied the denominators either by 7 or 2. You do the same for the respective numerators:

2x2/14 - 3x7/14 = 4/14 - 21/14.

Now that you have the same denominator, subtract the numerators:

4-21 = - 17

Put it back as a fraction : -17/14

hope this helps.

Answer: 6 biscuits each

Step-by-step explanation:

biscuits: 12

ratio shared 1:2 (in fraction form : 1/2)

one half of 12 is 6 therefore they each get 6:12 biscuits

If you simplify 6:12 you will get 1:2

Gemma and Zak receive 6 biscuits.

Hope that helped!

Answer:

Step-by-step explanation:

If the ratio between Gemma and Zak is 1:2, then Gemma gets 1 biscuit for every 2 Zak gets. If the total number of biscuits is 12, then 1x + 2x = 12 and

3x = 12 and

x = 4. That means that Gemma gets 4 biscuits and Zak gets twice that many, which is 8.

Answer :

By using EDL

a=bq+r

where a is > b

so a =867 and b=255

867=255×3+102

here r≠0 so a=255 and b=102

255=102×2+51

here r≠0 so a=102 and b=51

102=51×2+0

here r=0

so, Hcf of (867,255) is =51

Step-by-step explanation:

Hope it works out!!

Answer:

[tex]51[/tex]

Step-by-step explanation:

[tex]a=bq+r[/tex]

Where [tex]a > b[/tex]

[tex]867=255 \times 3+102[/tex]

[tex]255=102 \times 2+51[/tex]

[tex]102=51 \times 2+0[/tex]

Hcf of 867,255 is 51

The selling price of the game is (d) $111.80

The given parameters are:

Discount = 30%

Selling price = $86.00

Since the item is sold less, then the original price would be more.

So, we have:

Price = Selling price * (1 + Discount)

This gives

Price = $86.00 * (1 + 30%)

Evaluate

Price = $111.80

Hence, the selling price is (d) $111.80

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Answer:

32 seconds

Step-by-step explanation:

Answer:

2.5 meters in a second.

Step-by-step explanation:

I'm assuming it's how many meters per second.

meters : seconds

  40     :      16

  10      :       4

  2.5    :     1

Answer:

x = -3, x = 0 is a extraneous solution

Step-by-step explanation:

Step 1: Cross-multiply

3x² = 4x² + 3x

Step 2: Isolate x's

0 = x² + 3x

Step 3: Factor

0 = x(x + 3)

Step 4: Find roots

x = 0, -3

Step 5: Double check work

Plug in both to see if they both work. Only x = 0 should be extraneous. We now have our answer!

Answer:

x = -3, x = 0 is a extraneous solution

Step-by-step explanation:

the person above is correct

Answer:

about 128 inches

Step-by-step explanation:

Since it's talking about how much the container is holding, this means we have to use the formula for the volume of a cone, which is  [tex]V=\pi r^{2} \frac{h}{3}[/tex]

Plug in the given values into the formula and solve for h:

[tex]340.2=\pi (5)^{2} \frac{h}{3}[/tex]

[tex]340.2=\pi (25)\frac{h}{3}[/tex]

[tex]\frac{340.2}{25\pi } = \frac{25\pi\frac{h}{3} }{25\pi }[/tex]

[tex]42.75=\frac{h}{3}[/tex]

[tex]42.75(3)=\frac{h}{3} (3)[/tex]

[tex]128=h[/tex]

Answer:

Answer is 25°

Step-by-step explanation:

let me know if you got it correct