Rewrite the equation by completing the square

Answer:

f(6) = 64

Step-by-step explanation:

f(x) = 2^x

Let x = 6

f(6) = 2^6

     = 2*2*2*2*2*2

    = 64

Answer:

B. 64

Step-by-step explanation:

[tex]f(x)=2^x[/tex]

Plug x as 6 and solve.

[tex]f(6)=2^{(6)}[/tex]

[tex]f(6)=2^6[/tex]

[tex]f(6)=2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]

[tex]f(6)=64[/tex]

Answer:

1 hour and 6 minutes

Step-by-step explanation:

The next proportion must be satisfied:

18 °F / 28 °F = 2 hours / x hours

x = 2*28/18

x = 3.1 hours in total

Given that she has already waited 2 hours, she must wait 3.1 - 2 = 1.1 extra hours. 1 hour is equivalent to 60 minutes, then 0.1 hours is equivalent to 0.1*60 = 6 minutes.

Answer: 0.000000002

Step-by-step explanation:

Evaluation of (2x10^-3)^3 will be achieved by using the law of indices or exponent.

(A^x)^y = A^xy

Therefore,

(2x10^-3)^3= 2x10^-9

Convert the number in standard form back to normal number form

2×10^-9 = 0.000000002

Therefore,

(2x10^-3)^3 = 0.000000002

Answer:

36

Step-by-step explanation:

In the above question, we have been given a rule to follow

Given a * b = ba−ba+ab

We are to find (2*3)×(3*2)

Let simplify each bracket first

a * b = ba−ba+ab

2*3, a = 2, b = 3

2*3 = 3×2 - 3×2 + 2×3

= 6 - 6 + 6

= 6

a * b = ba−ba+ab

3*2, a = 3, b = 2

3*2 = 2×3 - 2×3 + 3×2

= 6 - 6 + 6

= 6

(2*3)×(3*2)

= 6 × 6

= 36

The answer is 36

Answer:

x = 1.125

Step-by-step explanation:

6x – 5 = (2/3)x + 1

6x - (2/3)x = 1 + 5

(16/3)x = 6

x = 9/8

x = 1.125

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~~

Your answer would be (D) 25–40

Step-by-step explanation: The largest amount od people is 40 the lowest amount is 35 so to maximize the bars you would want the smallest range.

Thus, (D) is the correct answer.

Answer:

Its D

Step-by-step explanation:

for all the ppl who don't care how they got it

Answer:

2.88 kilometers

Step-by-step explanation:

8. If the round trip took 17/20 of an hour.

How long does it take in minutes?

1 hour=60 minutes

17/20*60

=17*3

=51 minutes

9. Calculate the distance between the supermarket and Hilary's house

Speed=distance/time

Distance=speed × time

Total speed=30km/h+12km/h

=42km/h

Total time=17/20 hour

Time spent for 30km/h=30/42*17/20

=510/840

=0.61h

Time spent for 12km/h=12/42*17/20

=204/840

=0.24h

Supermarket to Hilary's house=12km/h

Distance=speed × time

=12×0.24

=2.88 kilometers

Answer:

75

Step-by-step explanation:

200 ÷ 8 = 25

25 x 3 = 75

The number of times 2 coins will turn heads up is 75, the correct option is D.

Probability is the measure of the likeliness of an event to happen.

The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.

When 3 coins are flipped, there is two probabilities,

The probability of getting a head or a tail is 1/2.

The probability that there will be 2 coins that will turn up heads is 3/8

Probability is defined as the ratio of favorable outcomes to total outcomes.

If Evelyn flips the three coins simultaneously 200 times, the number of times she can expect only two heads to turn up is given by,

= (3/8) * 200

= 75

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Answer:

m<1= 50 degrees

m<2= 130 degrees

m<3= 50 degrees

m<4= 130 degrees

m<5= 40 degrees

m<6= 30 degrees

Step-by-step explanation:

All of the angles of triangles equal to 180 degrees, so you can solve all of the angles based on that info :)

Answer: In the top box:   S ≥ 2000 - (S + 178)    

S ≥ 2000 - A      A = S + 178  substituted for  A in the first  equation

The solution is S ≥ 911    and  A ≥ 1089

Step-by-step explanation:

S ≥ 2000 - (S + 178)

S ≥ 2000 - S -178    Add S to both sides,

S + S ≥ 2000 -178

2S ≥ 1822

S ≥ 911     so  A ≥ 911 + 178   A≥ 1089  (but the question shown doesn't ask that)

This means that if Shane collected at least 911 cans and Abha collected at least 1089, their total was at least 2000.

Answer:

Left, Up

Step-by-step explanation:

Since -2 is to the left of 0 on the x-axis, we are moving left 2 units.

Since 7 is above 0 on the y-axis, we are moving up 7 units.

Answer:

The point (-2, 7) is graphed on a coordinate plane. The point is located 2 units left of the origin and 7 units up the origin 1st Blank

Answer:

A: the graph is decreasing

The graph is decreasing because the slope is negative. Then the correct option is A.

If the value of y increases as the value of x increases, then increasing function.

And if the value of y decreases as the value of x increases, then decreasing function.

In the graph, as the value of x increases, the value of y decreases.

The graph is decreasing because the slope is negative.

Then the correct option is A.

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Answer:

y > -2/3x + 3

Step-by-step explanation:

Well lets first start with the beginning and look at its features.

                                                          Features                                                          

- Dashed line

- Shaded up

- negative slope

- y intercept at 3

____________________________________________________________

So if the line is dashed with the shade going up that means the inequality starts like this,

y >

We can tell that the y intercept is at 3 because that the point the line touches the y axis.

So we got y > 3,

To find slope we use the following formula,

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

So we can use points (0,3) and (3,1).

1 is y2 and 3 is y1 so 1 - 3 = -2

3 - 0 = 3

Slope: -2/3x

Thus,

the inequality is y > -2/3x + 3.

Hope this helps :)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

According to the figure, we have an inequation of the form [tex]y > f(x)[/tex], where [tex]f(x)[/tex] is a linear function.

The linear function can be found by using the point-slope formula:

[tex]y-y_{1} = \left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\cdot (x-x_{1})[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (0, 3)[/tex] and [tex](x_{2}, y_{2}) = (3, 1)[/tex], then the linear function is:

[tex]y -3 = \left(\frac{1-3}{3-0} \right)\cdot x[/tex]

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

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

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Answer:

Step-by-step explanation: the discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.

We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.

0.2x = 3

Divide both sides by 0.2.

x = 3/0.2

x = 15

The regular price is $15.

Answer:

12

Step-by-step explanation:

x = original price

x* 20% = 3

Change to decimal form

x*.2 = 3

Divide each side by .2

x*.2 /.2 = 3/.2

x =15

The original price is 15

Selling price is 15-3 = 12

Answer:

47.13 for 17 melons

Step-by-step explanation:

We can use a ratio to solve

24.95               x dollars

---------------- = ----------------

9 melons          17 melons

Using cross products

24.95 * 17 = 9x

Divide by 9

24.95 * 17/9 = x

47.127777777 = x

Rounding to the nearest cent

47.13 for 17 melons

Answer:

$47.12

Step-by-step explanation:

We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.  

Answer:

x = 0, x = 4, x = -3

Step-by-step explanation:

Factor out the x, which makes it x(x^2-x-12)

Then it will be x(x-4)(x+3)

x = 0

x - 4 = 0, x = 4

x + 3 = 0, x = -3

Answer:

Step-by-step explanation;

1. 41%=0.41=K

2. 23%=0.23=F

3. 98%=0.98=D

4. 67%=0.67=E

5. 34%=0.34=A

6. 12%=0.12=G

7. 48%=0.48=B

8. 76%=0.76=J

A. 3/10=0.3

B. 1/2=0.5

C. 1/4=0.25

D. 5/5=1

E. 2/3=0.67

F. 1/3=0.33

G. 1/10=0.1

H. 3/4=0.75

I. 9/10=0.9

J. 4/5=0.8

K. 2/5=0.4

Answer:

Solution,

[tex]6.2(a + 5) - 2a + 1.2 \\ = 6.2 \times a + 6.2 \times 5 - 2a + 1.2 \\ = 6.2a + 31 - 2a + 1.2 \\ = 6.2a - 2a + 31 + 1.2 \\ = 4.2a + 32.2[/tex]

Hope this helps.

Good luck on your assignment...

Answer:

30

Step-by-step explanation:

We know that BD = 20 + 5 = 25. Let's call the point where BD and CE intersect point A. Therefore, ΔBAC ≅ ΔBAE by HL (BC = BE = 25 because they are radii, BA and AB are congruent because of the reflexive property). We can use Pythagorean Theorem to find CA. We can write CA² + 20² = 25² so CA = 15 and since CA = AE = 15 and CE = CA + CE, CE = 15 + 15 = 30.

Answer:

Step-by-step explanation:

BE=BC=25 in

trg BCE isosceles so CE=2✓25^2-20^2

=2"✓625-400=2*✓225=2*15

CE=30

I'd have to say it Has Reflectional Symmetry.

Answer:

i think it's 100

Step-by-step explanation:

100 is the interval which would not be used for the stems of a stem-and-leaf plot.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

In a stem-and-leaf plot, the stem is typically the leftmost digits of a number and the leaf is the rightmost digit.

The stem represents the largest common place value of the numbers being plotted.

If the data set is {12, 15, 21, 26, 30, 31, 35, 38}, the stem would be the tens place and the leaf would be the ones place.

The stem values would be 1, 2, 3, and 4.

Therefore, the interval for the stems should be determined by the range of the data set.

Hence, 100 is the interval which would not be used for the stems of a stem-and-leaf plot.

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Answer:

Add 7 to each side

Step-by-step explanation:

y−7=38

Add 7 to each side

y−7+7=38+7

y = 45

Answer: add 7

Step-by-step explanation: To solve for y, we need to isolate y and we do that by using inverse operations.

Since we have -7 on the left side, the opposite of subtracting is adding.

So we add 7 to both sides to get y = 45.

Answer: (L. W)(x) = 16x^3 - 8x^2 + 2x

Step-by-step explanation:

The Area of a rectangle is calculated thus:

Area (A) = Width(W) × Length(L)

Given that:

Length = L(x) = 2x

Width = W(x) = 8x2 − 4x + 1

A = L(x) * W(x) = (2x) * (8x2 − 4x + 1)

Factorizing L(x) * W(x)

L(x) * W(x) = (L . W)(x)

(L . W)(x) = (2x) * (8x2 − 4x + 1)

(L . W)(x) = 16x^3 - 8x^2 + 2x

Answer:

4,480

Step-by-step explanation:

In the above question, we are told that the measurements of the stained glass windows Maria intends to make is 14 inches wide by 20 inches long.

Step 1

We find the area of the window

Length × Width ( Breadth)

= 20 × 14 = 280 square inches

Step 2

The tiles that she intends to use has the following measurements

1/4 inch by 1/4 inch

The Area of these glass tiles = 1/4 × 1/4 = 1/16 square inches.

Step 3

Finally to calculate the number of tiles that she would required to make the stained glass window =

Area of the window ÷ Area of the glass tiles

= 280 square inches ÷ 1/16 square inches

= 4,480

Therefore, Maria would be needing 4,480 glass tiles to make her stained glass window.

Hello there! :)

Answer:

D. [tex](\frac{3 }{2}, 2)[/tex]

Step-by-step explanation:

Use the midpoint formula to solve:

[tex](x_{m}, y_{m} ) = (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2}}{2})[/tex]

Plug in the points shown:

[tex](\frac{0+3 }{2}, \frac{4+0}{2})[/tex]

Simplify:

Midpoint coordinates at [tex](\frac{3 }{2}, 2)[/tex]

Answer:

As x —> infinity, g(x)—> infinity, and as x —> Negative infinity, g(x) —> Infinity

Step-by-step explanation:

Because

The end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.

A quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions. We can define a polynomial's degree and provide a generic definition for it.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The given function is g(x)=5x ⁶+x⁵+9x³-12x-125 will have the end behavior of the graph as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.

Therefore, the end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.

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The value of y will be 90°. The sum of angle of the two right angle is 180°. The property of the adjacent angle is used.

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are an infinite number of solutions.

The angles subtended by a circle is 360°, then;

The equation is found as;

[tex]\rm 40^0+50^0+x+y+z=360^0 \\\\ x+y+z=270^0[/tex]

The sum of angle of the two right angle is 180°;

x°+40°+50°=180°

x=90°

y+50°+40°=180°

Y=90°

Hence, the value of y will be 90°.

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