Solve 7y^2+ 21 = 77, where Y is a real number. Round your answer to the nearest hundredth.​

9514 1404 393

Answer:

  b. intersects x-axis

Step-by-step explanation:

A zero of the polynomial is where y = 0. The equation y = 0 is the equation of the x-axis, so intersections of the graph of the function with the x-axis are places where the function value is zero.

The number of (distinct real) zeros is equal to the number of points where the graph intersects the x-axis.

_____

Additional comment

When (x -p)^n is a factor of the polynomial, the graph will intersect the x-axis at x=p. The zero is said to have "multiplicity n". For odd values of n, the graph will cross the x-axis (change sign) at x=p. For even values of n, the graph will touch the axis at x=p, but will not cross there.

So, the number of intersections with the x-axis tells the number of distinct real zeros, but does not say anything about their multiplicity. Complex zeros will not cause the graph to touch the x-axis.

Let the two whole numbers be 2x and 5x

The difference between 2x and 5x is 99. So,

5x-2x=99

3x=99

x=99/3

x=33

Therefore the two numbers are

5x=5*33=165

2x=2*33=66

Answer:

28:71

Step-by-step explanation:

99/7=14.14285714 (make sure to keep that in the calculator) that equals 1 part.

Therefore,

2×14.14...=28 (round up to nearest whole number)

5×14.14..=71 (round up to nearest whole number)

Answer:

6.4, 17.2, 3.8, 0.5, 6.7, 37.3, 4.9, 0.1, 12.8, 5.0

Step-by-step explanation:

Answer:

285 $

Step-by-step explanation:

350 * [tex]0.95^4[/tex]

0.95 if the amount of money is going down if the amount of money is going up it will be 350 * 1.05^4

If it is decreasing subtract 5% from 100% and if its increasing add 5% to 100%.

Answer:

I around up: the anwer I  got was 425.43

Step-by-step explanation:

Answer: [tex]\dfrac{16d^2}{25}+49e^2-\dfrac{56de}{5}[/tex]

Step-by-step explanation:

Given

The expression is

[tex](\dfrac{4d}{5}-7e)^2[/tex]

Use identity [tex](a-b)^2=a^2+b^2-2ab[/tex]

Apply identity

[tex]\Rightarrow \left( \dfrac{4d}{5}-7e\right)^2=\left( \dfrac{4d}{5}\right)^2+(7e)^2-2\times \left( \dfrac{4d}{5}\right)(7e)\\\\\Rightarrow \left( \dfrac{4d}{5}-7e\right)^2=\dfrac{16d^2}{25}+49e^2-\dfrac{56de}{5}[/tex]

- 8 + 6 = - 2

Step-by-step explanation:

-2 = [-8] + 6

-TheUnknownScientist

Answer:

C) 3x

Step-by-step explanation:

Perimeter can be defined as side a + side b + side c,

since all sides are x we have

x + x + x = 3x

Answer:

The answer should be B bc there is a fraction of 3 over 5

Answer:

0,8 km

Step-by-step explanation:

5cm= 2km

2cm=x

x=2 km × [tex]\frac{2cm}{5cm}[/tex]=0,8 km

Answer:

I don't know but I really need points I'm so sorryyyyy

Answer:

D: $2,000

Step-by-step explanation:

If im wrong contact me at Mousycritter#2842 on discor.d if you seek more help

Answer:

1/1/4<−2/2/4, because 1/1/4 is located to the right of −2/2/4 on the number line.

Step-by-step explanation:

Answer:

75 sq units

Step-by-step explanation:

A = lw

l = OP = distance between (9, 6) and (0, -6)

          = [tex]\sqrt{(9 - 0)^{2} + (6 + 6)^{2} }[/tex]

         = [tex]\sqrt{81 + 144)} = \sqrt{225} = 15[/tex]

w = MP =  distance between (-4, -3) and (0, -6)

            = [tex]\sqrt{(-4 - 0)^{2} + (-3 + 6)^{2} }[/tex]

            = [tex]\sqrt{16 + 9} = \sqrt{25} = 5[/tex]

A = 15(5) = 75 sq units

Answer: Rational

Explanation:

Any number that can be written as a fraction or mixed number is rational.

57.63004 can be written as [tex]57\frac{63004}{100000}[/tex] , therefore it is rational.

Answer:

1261.1 revolutions

Step-by-step explanation:

Given

[tex]d = 16in[/tex] --- the diameter

[tex]Distance = 5280ft[/tex]

Required

The number of revolution completer

First, calculate the circumference (c) of the tire

[tex]c = \pi d[/tex]

[tex]c = 3.14 * 16[/tex]

[tex]c = 50.24[/tex]

Let the number of revolutions be n.

The product of n and the circumference equals to the total distance travelled.

So:

[tex]c * n = 5280 ft[/tex]

[tex]50.24in* n = 5280 ft[/tex]

Make n the subject

[tex]n = \frac{5280 ft}{50.24in}[/tex]

Convert feet to inch

[tex]n = \frac{5280 *12in}{50.24in}[/tex]

[tex]n = \frac{63360in}{50.24in}[/tex]

[tex]n = \frac{63360}{50.24}[/tex]

Solve for n

[tex]n = 1261.14649682[/tex]

Approximate

[tex]n = 1261.1[/tex]

Answer:

[tex]\sqrt{61}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 2,- 4) and (x₂, y₂ ) = (4, 1)

d = [tex]\sqrt{(4-(-2))^2+(1-(-4))^2}[/tex]

   = [tex]\sqrt{(4+2)^2+(1+4)^2}[/tex]

    = [tex]\sqrt{6^2+5^2}[/tex]

    = [tex]\sqrt{36+25}[/tex]

    = [tex]\sqrt{61}[/tex]

Answer:

(1/3)³ = 1/27

Step-by-step explanation:

(3^n / 9^n-1)^3 =

3^3n / 1 x 1 / 9^3n-3 =

(1/3)^3 = 1/27

7

4x1.75 is 7

im not the smartest so wait for more answers just in case

Answer:

x = 28

Step-by-step explanation:

AB= AC

∠B = ∠C    {Angles opposite to equal sides are equal}

∠A + ∠B + ∠C = 180    {angle sum property}

3x + x + 20 + x + 20 = 180 {Combine like terms}

3x +x +x + 20 + 20 = 180

          5x + 40 = 180          {subtract 40 from both sides}

                   5x = 180 - 40

                  5x = 140      {divide both sides by 5}

                    x = 140/5

x = 28

Answer:

? = 7 m

Step-by-step explanation:

6/18= ?/21

18? = 126

? = 7

Answer:

yes

Step-by-step explanation:

yes it is a parallelogram. As we can see it has opposite parallel sides. Opposite angles are equal. If we add another diagonal, the two diagonals will bisect each other.

Answer:

Area is 288.

To find the area of a shape you have to multiply. 18 x 16 = 288.

Answer:

the corect answer for this question is (-x,y)

Answer:

20x +1

Step-by-step explanation:

do the exponite first. 4X4=16. then add on 4x, 16x+4x=20x, then add on 1

Answer:

300

Step-by-step explanation:

Add all outside values (height is irrelevant) to receive the perimeter

You get the answer of 300

Hope this helps