A cube has side length x. one side of the cube is increased by 4 inches, and another side is doubled. the volume of the new rectangular prism is 450 cubic inches. the equation 2 x cubed 8 x squared = 450 can be used to find x. what was the side length of the original cube? use a graphing calculator and a system of equations to find the answer.

Answer:

21x2 +44x +15

Step-by-step explanation:

20x + 35x2 - 5x + 20 + 35x - 5 - 8x - 14x2 +2x

35x2-14x2 +20x-5x+35x-8x+2x +15

21x2 +44x +15

Answer:

False

Step-by-step explanation:

27+65=92, so false

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: False[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: x + 65 = 87[/tex]

[ subtract 65 on both sides ]

[tex]\qquad \tt \rightarrow \: x + 65 - 65 = 87 - 65[/tex]

[tex]\qquad \tt \rightarrow \: x = 22[/tex]

but according to the statement it says, x = 27

which is proved wrong.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Step-by-step explanation:

please mark me as brainlest

The error that Maria made is that she did not divide correctly.

The simple interest that is paid on an amount of money is a function of the amount deposited, time and interest rate.

Simple interest = principal x time x interest rate

2666 = 4300 x 0.062 x t

2666 = 266.60t

t = 2666 /  266.60

t = 10 years

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The missing words to complete the proof are respectively; Vertical Angles; Corresponding angles; Transitive Property

The image of the transversal line is attached.

1) We know that lines a and b are parallel and that line c is a transversal because that is given.

2) We can tell that angles 2 and 5 are congruent because vertical angles are congruent.

3) Angles 5 and 7 are congruent because corresponding angles by parallel lines cut by a transversal are congruent.

4) Therefore, angles 2 and 7 are congruent based on the transitive property.

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Answer: vertical, corresponding, and transitive property

Step-by-step explanation: I got the correct answer on Edge 2022. The answer is correct trust me! Proof is shown down below.

Answer:

0(x-4)

Step-by-step explanation:

in my working system i mean just when i try on the place of 4 any number can be inserted

$5x-7=13x+17$,here both gives -22 as a result so

$6(x-4)$=6x-24 and to give the same result or 0

$6(x-4)$=0(x-any number )

The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.

A function is a law that relates a dependent variable and an independent variable with each other

It is given that

y = 2tan (x - π/2) +3

To find the zeroes of a function that function has to be equated to zero.

2tan (x - π/2) +3 = 0

2tan (x - π/2)  = -3

tan (x - π/2)  = -3/2

x - 90 = -56.31

x = 33.69 degree

The zero of the function is at 33.69 degree

For finding the maxima /minima

the derivative is

dy/dx = 2 sec² (x - π/2)

the point at which the slope is zero is substituted in the second derivative to find maxima/minima

d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)

if the value is negative then it is a maxima and if it is positive it is a minima.

The vertical asymptote is found by finding the values that make the function undefined

x = 0+ πn

No horizontal or oblique asymptote

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Answer:

$989

Step-by-step explanation:

860*0.15 is = 129

129 + 860 is 989

The arc length of the semicircle is 5π units

From the question, we are to calculate the arc length of the semicircle

Arc length of a semicircle = 1/2 the circumference of the circle

∴ Arc length of a semicircle = 1/2 × 2πr

Arc length of a semicircle = πr

Where r is the radius

From the given information,

r = 5

∴ Arc length of the semicircle = 5 × π

Arc length of the semicircle = 5π units

Hence, the arc length of the semicircle is 5π units

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Answer:

D is correct ...

nind d d find her r d d d f FBI f

7978978

Step-by-step explanation:

We're given [tex]f(x) = 0[/tex] when [tex]x=-2[/tex] and [tex]x=3[/tex], so both [tex]x+2[/tex] and [tex]x-3[/tex] divide [tex]f(x)[/tex]

We're also told [tex]2x^2+3x+2[/tex] divides [tex]f(x)[/tex]. This quadratic does not have roots at -2 or 3, so we can factorize [tex]f(x)[/tex] as

[tex]f(x) = 2 (x + 2) (x - 3) (2x^2 + 3x + 2)[/tex]

where the leading coefficient is 2 because the full expansion should have a leading term of [tex]4x^4[/tex].

Now just expand [tex]f(x)[/tex] :

[tex]f(x) = 2 (x + 2) (x - 3) (2x^2 + 3x + 2)[/tex]

[tex]f(x) = 2 (x^2 - x - 6) (2x^2 + 3x + 2)[/tex]

[tex]f(x) = 2 (2x^4 + x^3 - 13x^2 - 20x - 12)[/tex]

[tex]f(x) = \boxed{4x^4 + 2x^3 - 26x^2 - 40x - 24}[/tex]

Answer:

Step-by-step explanation:

A quadrilateral has angles 60,60,120 and 120

write down the names of three possible quadrilaterals that can have these angles

1) Given

2) Segment addition postulate

3) Substitution property

4) Segment addition postulate

5) Transitive property of equality

Step-by-step explanation:

please mark me as brainlest

Answer:

-0.88

Explanation:

2/3 + 4/5 x 7/5 - 8/3​

2/3 + 28/25 - 8/3

2/3 - 8/3 + 28/25

-6/3 + 28/25

-2 + 28/25

-50/25 + 28/25

-22/25

-0.88

Step-by-step explanation:

Part A:

4x² - 7x - 15

a, b, c = 4, -7, -15

ac = -60

factors that add up to -7 and multiply to -60 are (-12, 5)

rewrite equation

(4x² - 12x) + (5x - 15)

factor out GCF from both groups

4x(x - 3) + 5(x - 3)

(4x+5)(x-3)

Part B:

Using the factored form from the previous part we can set both factors equal to 0 to solve for x.

4x+5 = 0

4x = -5

x = -5/4

x-3 = 0

x = 3

the two x-intercepts are -5/4 and 3

Part C:

Since the leading coefficient is positive, the right side of the function will be going up or to positive infinity as x goes towards positive infinity. Since the degree is even both sides go in the same direction so on the left side it also goes towards positive infinity as x goes towards negative infinity.

The fraction of players who don't stretch and get injured = 4/9.

The frequency tree is shown in the image attached.

The total number of footballers = 45.

The total number of footballers who stretch = 36.

Therefore, the number of footballers who don't stretch = 45 - 36 = 9.

The total number of injured footballers = 10.

The number of injured footballers from the players who stretch = 6.

Therefore, the number of injured footballers from the footballers who don't stretch = 10 - 6 = 4.

The total number of footballers who don't get injured = 45 - 10 = 35.

The number of footballers who stretch and don't get injured = 36 - 6 = 30.

The number of footballers who don't stretch and don't get injured = 9 - 4 = 5.

Therefore, the frequency tree can be shown in the image attached.

The fraction of players who don't stretch and get injured = 4/9.

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Step-by-step explanation:

Let u=x^2.

Notice that

[tex] {x}^{4} - 9 {x}^{2} + 8 = 0[/tex]

[tex]( {x}^{2} ) {}^{2} - 9( {x}^{2} ) + 8 = 0[/tex]

[tex]u {}^{2} - 9u + 8 = 0[/tex]

[tex](u - 8)(u - 1) = 0[/tex]

[tex]u = 8[/tex]

[tex]u = 1[/tex]

Replace x^2= u

[tex] {x}^{2} = 8[/tex]

[tex]x = ±2 \sqrt{2} [/tex]

[tex] {x}^{2} = 1[/tex]

[tex]x = ±1[/tex]

So our answer is

[tex]±1 \: [/tex]

and

[tex]±2 \sqrt{2} [/tex]

Answer:

3/4 = -3* 2*(c-

I hope it helps!

if it does pls mark me brainliest answer

Answer:

m∠1 = 50°

m∠2 = 130°

Step-by-step explanation:

There is a formula:

[tex]\text{angle} = \frac{1}{2} (\text{intercepted arc}_1 + \text{intercepted arc}_2)[/tex]

[tex]\text{m} \angle 1 = \frac{1}{2} (53^\circ + 47^\circ)[/tex]

[tex]\text{m} \angle 1 = \frac{1}{2} (100^\circ)[/tex]

[tex]\text{m} \angle 1 = 50^\circ[/tex]

Angle 1 and angle 2 together form a straight angle, which measures 180°. Angle 1 and angle 2 are suplementary angles.

[tex]\text{m} \angle 1 + \text{m} \angle 2 = 180^\circ[/tex]

[tex]50^\circ + \text{m} \angle 2 = 180^\circ[/tex]

[tex]\text{m} \angle 2 = 180^\circ - 50^\circ[/tex]

[tex]\text{m} \angle 2 = 130^\circ[/tex]

Answer:

[tex]\sqrt{69}[/tex]

Step-by-step explanation:

from the pythagorean theorem:

[tex]a^2 + b^2 = c^2\\10^2 + b^2 = 13^2\\100 + b^2 = 169\\b^2 = 69\\b = \sqrt{69}[/tex]

[tex] |y + 2| > 6 \\ y + 2 > 6 \: \: \: or \: \: \: y + 2 < - 6 \\ y > 6 - 2 \: \: \: or \: \: \: y < - 6 - 2 \\ y > 4 \: \: \: or \: \: \: y < - 8[/tex]

Solution : ] -♾️ , -8 [ U ] 4, + ♾️ [

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Answer:

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.

No we cannot conclude that there is a difference between the population proportion of adults between the ages of 27 and 35 in the two cities.

For Seattle

66/200 = 0.33

For Minneapolis

63/180

= 0.35

We have to form our hypothesis

H0: p1 = p2

H1: p1 ≠ p2

We solve for the test statistic

z = (p1-p2)/√(p1*(1-p1)/n1+p2x(1-p2)/n2)

The calculation is given as -0.41

The excel output is given in the attachment

=-0.41

At a significance level of 0.1, the level of acceptance is at -1.645 and 1.645. The value of the test stat can be found here.

Since Z=-0.41 is between -2.58 and 2.58, we do not reject H0.

Hence we fail to reject the null hypothesis.

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First we must solve the bottom situations.

___________________________________________ (2A and 2B)

First expression (2A): 2v+8.3+2v-6.1

⇒  Collect like terms

(2v + 2v)  + (8.3 - 6.1)

⇒ Simplify

4b + 2.2

Second expression (2B): 3v+14.4-v

⇒ Collect like terms

(3v - v) + 14.4

⇒ Simplify

2v + 14.4

They are not equivalent because when simplified they both have different coefficients and constants each of different values.

_____________________________________________ (4A and 4B)

First expression (4A): 10 + 3 (1/3x + 2)

⇒ Simplify 1/3x to x/3.

10 + 3(x/3 + 2)

⇒  Expand by distributing terms.

10 + x + 6

⇒ Collect like terms.

x + (10 + 6)

⇒ Simplify.

x + 16

Second expression: x + 16

This expression can not be simplified any further. This is because it is a simplified version of another expression.

These expressions are equivalent because expression 4B is the simplified version of expression 4A.

______________________________________

Level: 7th Grade

Unit: Distributing and Combing Like Terms

Answer:

6

Step-by-step explanation:

f(6) is the y-value when x = 6

From inspection of the graph, f(6) = -6

g(5) is the y-value when x = 5

From inspection of the graph, g(5) = -5

Substitute the found values into the given equation:

  4 · f(6) - 6 · g(5)

= 4 · (-6) - 6 · (-5)

= -24 - (-30)

= -24 + 30

= 6

(12x +15)°=75° .…(शिर्षभिमुख कोण भएर)

or, 12x+15=75

or, 12x=75-15

or, 12x=60

or, x=60÷12

or, x=5

(6y-27)°=105° .…(शिर्षभिमुख कोण भएर)

or, 6y-27=105

or, 6y=105+27

or, 6y=132

or, y=132÷6

or, y=22

Answer:

no comprendo nada de esto lo siento

Step-by-step explanation:

no comprendo