The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)
(t − 7)2 = (t + 7)2 − 112

t =

Answer: (-2,0) and (1,0)

Step-by-step explanation:

If y=0, then:

[tex]x+x^2 + 2=4\\\\x^2 + x-2=0\\\\(x+2)(x-1)=0\\\\x=-2, 1[/tex]

So, the points (-2,0) and (1,0) lie on the curve.

The points (-2,0) and (1,0) lie on the curve.

If y=0, then:

[tex]x+(x^2+2)+0=4\\x^2+x+2=4\\[/tex]

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

[tex]x^2+x-2=0[/tex]

[tex]=\left(x^2-x\right)+\left(2x-2\right)[/tex]

[tex]=x\left(x-1\right)+2\left(x-1\right)[/tex]

[tex]=\left(x-1\right)\left(x+2\right)[/tex]

[tex]x=-2,x=1[/tex]

So, the points (-2,0) and (1,0) lie on the curve.

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That's because there's this thing called polite people

Answer:

Because she is nice unlike me

Step-by-step explanation:

give me brainiest pls

see? I am not nice :) But seriously can I get brainliest?

Answer: 18x+24

Step-by-step explanation:

[tex]f(x+3)=3(x+3)^2 + 5\\\\f(x+3)=3(x^2 + 6x+9)+5\\\\f(x+3)=3x^2+18x+27+5\\\\f(x+3)=3x^2 + 18x+32[/tex]

[tex]\therefore f(x+3)-[f(x)+3]=(3x^2 +18x+32)-[3x^2 +5+3]\\ \\=3x^2 +18x+32-3x^2 - 8\\\\=\boxed{18x+24}[/tex]

If function f(x) = 3x² + 5 then the value of f(x + 3) - [f(x) + 3] is 18x + 24.

Given the function f(x) = 3x² + 5.

We have to find the value of f(x + 3) - [f(x) + 3]

First we have to find the value of f(x + 3) - [f(x) + 3]

f(x + 3) = 3  (x + 3) ² + 5f(x + 3)

           = 3(x ² + 6x + 9) + 5f(x + 3)

           = 3x ² + 18x + 27 + 5f(x + 3)

           = 3x ² + 18x + 32

Now substitute these values and find the value of f(x + 3) - [f(x) + 3].

f(x + 3) - [f(x) + 3] = (3x² + 18x + 32) - [3x ^ 2 + 5 + 3]

                           =3x ²  + 18x + 32 - 3x ² - 8

                           =18x + 24

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Answer: 96 degrees

Step-by-step explanation: Assuming that angle ℒ is the third measure, then angle ℒ is 96 degrees as all exterior angle measures of a triangle are 360 degrees.

360-264 = 96 degrees = 

ℒ

Please give brainliest if helpful.

Answer:

y = m(x - 2) - 4

Step-by-step explanation:

Equation of a straight line is given by;

y = mx + c

Take a point on the line (x, y) and the given point (2, -4)

gradient = change x/ change in y

gardient(m) = y +4/ x - 2

m(x-2) = y + 4

y = m(x - 2) - 4

The centre of the circle is (-2,7) and the radius is √7 ,  Option D is the right answer.

The standard equation of a Circle is

(x-h)² +(y-k)² = r²

where h and k is the centre of the circle , r is the radius

The given equation is

x² + y² + 4x – 14y + 46 = 0

x² +4x +4 -4 +y² -2.7y + 49-49+46 = 0

(x + 2)² + (y-7)² -4-49+46 = 0

(x + 2)² + (y-7)²= 7

Therefore the centre of the circle is (-2,7) and the radius is √7 ,

Therefore Option D is the right answer.

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The probability that the sample mean would be less than 40.6 dollars will be 0.534.

The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is given as

z = (x – μ) / σ

The mean cost of a five pound bag of shrimp is 40 dollars, with a standard deviation of 7 dollars.

If a sample of 51 bags of shrimp is randomly selected.

Then the probability that the sample mean would be less than 40.6 dollars will be

z = (40.6 – 40) / 7

z = 0.0857

Then the p-value will be

P(x < 40.6) = P(z < 0.0857)

P(x < 40.6) = 0.534

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Answer:

to solve fractions such as

1 1/3

first multiple the denominator with the whole no.

and then add with the numerator

here 3 * 1 + 1 /3

= 4/3

1 2/3

= 3*1 + 2 /3

5/3

The expression in factored form for the polynomial of least possible degree graphed will be y(x) = (x + 3)(x + 2 )(x - 1 )(x - 3 )

From the graph, the zeros of the polynomial of given graph are:

x = -3

x = -2

x = 1

x = 3

Equate the above equations to zero

x + 3 = 0

x + 2 = 0

x - 1 = 0

x - 3 = 0

Multiply the equations

(x + 3)(x + 2 )(x - 1 )(x - 3 ) = 0

Express as a function gives;

y = (x + 3)(x + 2 )(x - 1 )(x - 3 )

Hence, the factored form of the polynomial will be y = (x + 3)(x + 2 )(x - 1 )(x - 3 )

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Answer: [tex]5x^{2}-4[/tex]

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)=4x^{2}+1+x^{2}-5=\boxed{5x^{2}-4}[/tex]

Step-by-step explanation:

[tex]f(x) = 6 {x}^{2} - 4[/tex]

[tex]g(x) = 2x + 2[/tex]

[tex] \: [/tex]

[tex] = (f - g)(x)[/tex]

[tex] = f(x) - g(x)[/tex]

[tex] = 6 {x}^{2} - 4 - (2x + 2)[/tex]

[tex] = 6 {x}^{2} - 4 - 2x - 2[/tex]

[tex] = 6 {x}^{2} - 2x - 4 - 2[/tex]

[tex] = 6 {x}^{2} - 2x - 6[/tex]

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

185.4m  (rounded to 1dp)

Circumference of a circle is the diameter times by pi. 59×pi=185.4

Answer:

59 meters

or approximately 185.26 ( using 3.14 for pi)

or 185.3539666 meters using the pi button

Step-by-step explanation:

The circumference is given by

C = pi *d where d is the diameter

C = pi * 59 m

C = 59 pi meters

We can approximate pi by 3.14

C =185.26 meters

or by using the pi button the calculator

185.3539666 meter

(a)

421₅ = 4×5² + 2×5¹ + 1×5⁰

… = 100 + 10 + 1

… = 111

(b)

11101₂ = 1×2⁴ + 1×2³ + 1×2² + 0×2¹ + 1×2⁰

… = 16 + 8 + 4 + 0 + 1

… = 29

(c)

13T₁₂ = 1×12² + 3×12¹ + 10×12⁰

… = 144 + 36 + 10

… = 190

We have an odd number of consecutive integers, therefore the middle one is equal to the average of all of them. And since the average is equal to the sum of the numbers divided by their number, the middle integer in this problem is equal to 369 divided by 9, which is equal to 41.

Answer: an asymptote is, essentially, a line that a graph approaches , but     does not intersect.      

Step-by-step explanation:

for example , in the following graph of y =1x y=1x the line approaches the x- axis (y=0) but never touches it

Using a linear function, we have that:

a) The percentage will be 47% during the year of 2001.

b) The predicted percentage in 2005 is of 44.97%.

A linear function is modeled by:

y = mx + b

In which:

The percentage in 1980 is considered as the initial amount, hence b = 58.8. In 15 years, the percentage decreased from 58.8% to 50.5%, hence the slope is given by:

m = (50.5 - 58.8)/15 = 0.5533.

Hence the percentage in t years after 1980 is given by:

P(t) = 58.8 - 0.5533t.

Item a:

This is t + 1980, for which P(t) = 47, hence:

P(t) = 58.8 - 0.5533t

47 = 58.8 - 0.5533t.

0.5533t = 11.8.

t = 11.8/0.5533

t = 21.3.

1980 + 21 = 2001, hence the percentage will be 47% during the year of 2001.

Item b:

2005 is 25 years after 1980, hence the percentage is P(25), given as follows:

P(25) = 58.8 - 0.5533x25 = 44.97%.

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Answer: A

Step-by-step explanation:

[tex]V=\frac{1}{3}Bh\\\\V=\frac{1}[3}(6.3)(2.4)(3.6)=\boxed{18.144}[/tex]

Answer:

[tex](a) \: 3.1563 \times {10}^{6} = 31563 \times {10}^{6} \times {10}^{ - 4} = 31563 \times {10}^{6 - 4} = 31563 \times {10}^{2} = 3156300[/tex]

__o__o__

[tex](b) \: 5.65 \times {10}^{ - 4} = 565 \times {10}^{ - 4} \times {10}^{ - 2} = 565 \times {10}^{ - 4 - 2} = 565 \times {10}^{ - 6} = 0.000565[/tex]

Using a calculator, the equation of the trend line that can be generated by using the data from years 1 and 5 is:

y = 6.75x + 81.25.

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, the points, in the format (x,y), are given as follows:

(1,88), (2,95), (3,100), (4,108), (5,115).

Hence, using a calculator, the regression line is:

y = 6.75x + 81.25.

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Answer:

AC = 2x - 13 Cm

BC = 3x + 4 Cm

AB = 36 Cm

AB = AC + BC

BC = AB - AC

= 36 - (2x - 13)

= 36 - 2x + 13

= 49 - 2x

but, BC = 3x + 4

so equating both the equation we get

3x + 4 = 49 - 2x

3x + 2x = 49 + 4

5x = 53

x = 53/5

x = 10.6

BC = 49- 10.6*2

= 49- 21.2

= 27.8 CM

Answer:

BC = 31 cm

Step-by-step explanation:

from the diagram

AC + CB = AB ( substitute values )

2x - 13 + 3x + 4 = 36

5x - 9 = 36 ( add 9 to both sides )

5x = 45 ( divide both sides by 5 )

x = 9

then

BC = 3x + 4 = 3(9) + 4 = 27 + 4 = 31 cm

Answer:

a probation violation occurs when someone who has already been sentenced for a crime breaks the terms or conditions of that probation

Answer:

[tex]1.9 \times {10}^{7} meters[/tex]

is the right answer

Answer:

d.

Step-by-step explanation:

Left line is defined when x < 1 (x is less than 1). The point is not full and that means that x = 1 is not included.

Right line is defined when x is greater or equal to one x ≥ 1.

Options that have x < 1 and x ≥ 1 are b and d, so the answer is one of those.

Equations of the lines are in slope-intercept form y = mx + b, where m is slope and b is y-intercept.

Right line has steeper slope than left line, so the slope of right line will have bigger absolute value. That is the case with option d. (Left line has slope -1 and right one has slope -2, absolute value of right slope is bigger.)

You could also check with y-intercepts. Left line has y-intercept at y = 2 and left line is defined when x < 1. Only option d meets these conditions.

Using a linear function, we have that:

The percentage will be 47% during the year 2001.

The predicted percentage in 2005 is of 44.97%.

Given that, the percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.

Linear functions are those whose graph is a straight line. The standard form of the linear function is f(x)=y= mx + b. A linear function has one independent variable and one dependent variable.

Where, m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0 and can also be interpreted as the initial value of the function.

The percentage in 1980 is considered as the initial amount, so b = 58.8. In 15 years, the percentage decreased from 58.8% to 50.5%, hence the slope is given by: m = (50.5 - 58.8)/15 = 0.5533.

Thus, the percentage in t years after 1980 is P(t) = 58.8 - 0.5533t.

Now, t + 1980, for which P(t) = 47.

So, P(t) = 58.8 - 0.5533t

47 = 58.8 - 0.5533t.

0.5533t = 11.8.

t = 11.8/0.5533

t = 21.3.

1980 + 21 = 2001, so the percentage will be 47% during the year 2001.

Now, 2005 is 25 years after 1980, so the percentage is P(25), given as follows: P(25) = 58.8 - 0.5533x25 = 44.97%.

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No solution since absolute value can't be equal to negative numbers

PLEASE GIVE BRAINLIEST

Answer:

A. 15

Step-by-step explanation:

9 12 15 is a

3 4 5 right triangle

Pythagorean Theorem

9^2+12^2=c^2

81+144=c^2

225

√225=√c^2

15=c

Answer:

= B

Step-by-step explanation:

Answer:

0.76

Step-by-step explanation:

-8+3=-6x^(2/3)

-5=-6 x^(2/3)

-5/-6=x^(2/3)

(2/3)√{5/6}=x

0.76=x

x=0.76

Answer:

no lo sé no lo sé

Step-by-step explanation:

solo se que nada se