Select all the ordered pairs that are solutions of the equation.

A. (-7 , 1)

B. (-1 , 7)

C. (0 , 5)

D. (2 , 3)

E. (3 , 2)

F. (5 , 0)

Answer:

4x⁴-3x⁴+5x³-3x²+1

Step-by-step explanation:

Given that p (x) = 3x^3+2x^2+4x^4+3 and q (x) = 3x^4-2-x+5x^2

p (x) - q (x)​ = 3x^3+2x^2+4x^4+3 - (3x^4-2-x+5x^2)

p (x) - q (x)​ = 3x^3+2x^2+4x^4+3 - 3x^4 + 2 + x - 5x^2

Collect the like terms

p (x) - q (x)​ = 4x⁴-3x⁴+3x³+2x²-5x²+x+3-2

p (x) - q (x)​  = 4x⁴-3x⁴+5x³-3x²+1

This givess the difference

Answer:

The first one is correct

Step-by-step explanation:

If both sides of the expression are equal, any number given as X would fit, meaning that there are infinitely many solutions.

4,756 rounded to the nearest thousand is 5,000.

Answer:

rounded to the nearest thousands 4,756 is 5,000 since 7 is higher then 4 so it rounds up

Answer:

12.2

Step-by-step explanation:

Answer:

7.6 ft

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

A hemisphere is 1/2 of  a sphere

V = 1/2 (4/3 pi r^3)

V = 2/3 pi r^3

920 = 2/3 pi r^3

Multiply each side by 3/2

920 * 3/2 = 3/2 * 2/3 pi r^3

1380 = pi r^3

Divide each side by pi

1380/pi = pi r^3 / pi

1380/ pi = r^3

Using pi as 3.14

1380/3.14 = r^3

439.4904459= r^3

Taking the cube root of each side

(439.4904459)^(1/3)= r^3^(1/3)

7.602967711=r

To the nearest tenth

7.6 = r

radius=7.6ft

Answer:

Solution given:

radius [r]=?

Volume of hemisphere=920ft³

⅔*πr³=920

r³=920*3/(2π)

r³=439.267

r=[tex]\sqrt[3]{439.267}=7.6ft[/tex]

Answer:

They have no minimum y -value

The minimum value for y belongs to f(x) at x=0 and function f(0)=(-2), Option D is correct.

The given function f(x)= x⁵-2

Differentiating the function we get,

5x⁴=0

x=0

Therefore, f(x)=f(0)=0-2=(-2)

Now function g(x)=3x²+1

Differentiating the function we get,

6x=0

x=0

Therefore, g(x)=g(0)=0+1=1

The minimum value for y belongs to f(x) at x=0 and f(0)=(-2)

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Step-by-step explanation:

a. 726

b. 34

this is thr answer to thr questions a na d to

Answer:

42

Step-by-step explanation:

From the question, we have it that 63 cups were emptied

That means the sum of both cup sizes is 63

Thus;

x + y = 63 ••••••(i)

Since each small cup is of size 8 oz and a total of x was used. The total volume from the small sized cup is 8 * x = 8x oz

similarly for the medium sized, we have 12 * y = 12y oz

The sum of both is 4(147)

8x + 12y = 4(147 )•••••(ii)

We want to get the value of x

from equation i;

y = 63-x

Substitute this into equation ii

8x + 12(63-x) = 4(147)

8x + 756 - 12x = 4(147)

12x-8x = 756-4(147)

4x = 168

x = 168/4

x = 42 small sized cups

2×12=24

24+3= 27

12*12=144

144/24=6

Answer:

a) Price increased by 75%

b) Price decreased by 42.85%  (or 43% approximate)

Step-by-step explanation:

$ 40 increased by ____ % to $70

[tex]Percentage\ increase = \frac{difference}{ original} \times 100[/tex]

                             [tex]= \frac{70 - 40 }{40} \times 100\\\\=\frac{30}{40} \times 100\\\\= 75 \%[/tex]

$70 decreased by ______ % to $40

[tex]Percentage \ decrease = \frac{difference }{ original } \times 100[/tex]

                               [tex]= \frac{70 - 40 }{70} \times 100 \\\\= \frac{30}{70} \times 100\\\\=42.85 \%[/tex]

Answer:

25.5 / 3 = 8.5

Step-by-step explanation:

8.5 times more student prefer basketball over soccer

Answer:

d

Step-by-step explanation:

==================================================

Work Shown:

C = 2*pi*r

C = 2*3.14*9.7

C = 60.916

This value is approximate since pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate circumference. The circumference is the distance around the circle, aka the perimeter.

Answer:

60.916

(rounded to the two nearest decimals = 60.92, and to the first decimal = 60.9)

Step-by-step explanation:

Circumference formula: 2πr  

π being pi and r being radius

Fill in your variables: 2(3.14)(9.7)   or 2 x 3.14 x 9.7

use your calculator or simply solve it and you end up with 60.916.

I hope this helped :)

Answer:

28/43

Step-by-step explanation:

The question asks what is the probability that Marley picks out a blue or yellow marble.

In total, there are 43 marbles.

In total, there are 28 blue and yellow marbles. (18+10=28)

So, the answer would be 28/43

Hope this helps

Answer:

113mm^2

Step-by-step explanation:

Firstly work out the area of the pink circle using πr^2, which is the area of a process.

So we do πx12^2, which gives us 144π mm we have to divide this by two to get half of a circle hence giving us the area of the semi-circle. 72π mm is the area of the semicircle.

Then we must find the area of the white circle to subtract it from our semicircle. Since we know the radius is 12 from the center to anywhere, we know that the white circles diameter is 12, using our formula for the area all we need to do is πx6^2. This gives us 36π.

72π - 36π = 36π

36π is equal to 113.0973355 and since we need it too 3sf it will be 113mm^2

Answer:

i think . it is c

Step-by-step explanation:

Answer:

4:1

Step-by-step explanation:

We know 1/5 of the marbles are red.

There are 10 marbles.

1/5 is also 2/10, so:

2 of the 10 marbles are red.

To find the blue marbles, lets subtract the red marbles from the total marbles:

10-2=8

So 8 of the marbles are blue.

This is a ratio of 8 blue to 2 red marbles.

Or

4 blue to 1 red marbles.

This can be shown as:

4 : 1

Hope this helps!

Answer:

The distance from the house to the school is 500 units

Step-by-step explanation:

The distance we want to calculate represents the hypotenuse of the right triangle

So, to use the Pythagoras’ theorem, we need the two other side lengths apart from the hypotenuse

The base side measures (350-50 = 300 units)

The measure of the height is (450-50 = 400 units)

Mathematically, the theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have it that;

h^2 = 300^2 + 400^2

h^2 = 90,000 + 160,000

h^2 = 250,000

h = √250,000

h = 500 units

Answer:

I think choose (c)

4x+1/x²-5

Answer:

451.7in^2

Step-by-step explanation:

You first need to determine the radius of the circle. This can be done by taking the circumference and dividing it by 2pi:

[tex]r=\frac{75.36in}{2\pi } = 11.99 in[/tex]

Now that you have the radius, you can plug it into the formula for the area of a circle (this is assuming the pizza is perfectly round):

[tex]A=\pi r^2=\pi (11.99^2)=451.7in^2[/tex]

The area that covers the circular pizza is: 451.64 in.²

Area = πr²

Perimeter = 2πr, where r is the radius of the circle.

Given the following:

Perimeter of the circular pizza = 75.36 in.

Find the radius:

2πr = 75.36

r = 75.36/2π

r = 11.99 in.

Find the area:

Area = π(11.99)²

Area = 451.64 in.²

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Answer:

x + 1 y+1

Step-by-step explanation:

it translated 1 unit up the x axis and 1 unit y axis

Answer:

reflected across the y-axis and translated 1 to the right and 1 up

Step-by-step explanation:

Answer:

m=4

n=3

Step-by-step explanation:

m+2n=10

2n+3m=18

Subtract

-2m=-8

m=4

Solve for n

(4)+2n=10

2n+3(4)=18

2n=10-4

2n=18-12

2n=6

n=3

Answer:

Angle 3 and 4 are supplementary angles.

The equation (3x+4) + (2x+11) = 180 can be used to solve for x.

m 5 = 77

Step-by-step explanation:

Answer:

about 15.328 yrds

Step-by-step explanation:

two sides are 5 yrds, so 5+5= 10yrds. two sides are 8 ft, 8+8=16 ft. there are .3333 yrds in 1 foot so 16*.3333 = about 5.328yrds

10+5.328 = 15.328

Answer:

D : reflection over the y-axis followed by a translation to the right one unit

Answer:

huh

Step-by-step explanation:

?

The exponential function that best describes the total number of artifacts found in archaeological sites in the country after x years = T(x) = [tex]2(1.1)^{6x+2}[/tex]

An exponential function is defined by the formula f(x) = a×, where the input variable x occurs as an exponent.

Time period = x years

The number of archaeological sites discovered in a country  in x years = S(x) = [tex]2(1.1)^{x}[/tex]

The approximate number of artifacts found in each site over time = A(x) = [tex](1.1)^{5x+2}[/tex]

The total number of artifacts found in archaeological sites in the country after x years = T(x) = S(x).A(x) = [tex]2(1.1)^{x}(1.1)^{5x+2} = 2(1.1)^{6x+2}[/tex]

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Answer:

3x-2=25

x=9. .

Answer:

9

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6(1×2) - 3(2)

6×2 - 6

12-6

= 6

here you go

please help with mine

Answer:

y=3x-1

Step-by-step explanation:

Not enough context

Hope this helps!

:)