f(x) = x ^ 2 + 1

f(3)

y1 x-1. ......

Step-by-step explanation:

Y = 1 X = -1.

Answer:

c).    14 < x < 15

d).    7 < x < 8

Step-by-step explanation:

c).   (x/3)^3 = 124

Take the cube root of both sides

x/3 = 4.986630952238646

multiply both sides by 3

x = 14.959892856715938

14 < x < 15

-----------------------------

d). (x/2 - 1)^3 = 25

Take the cube root of both sides

x/2 - 1 = 2.924017738212866

Add 1 to both sides

x/2 = 3.924017738212866

multiply both sides by 2

x = 7.848035476425732

7 < x < 8

Answer:

isn't it 5?

by counting the lines from C to B

from C to B the length is 5 while the length of D to C is 6

Answer:

k = - 18

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 2

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 12) and (x₂, y₂ ) = (6, k)

m = [tex]\frac{k+12}{6-3}[/tex] = [tex]\frac{k+12}{3}[/tex] = - 2 ( multiply both sides by 3 )

k + 12 = - 6 ( subtract 12 from both sides )

k = - 18

Answer:

The minimum value of the function is 12

Answer:

I think it could be the X-axis

Answer:

1500 ft^3

Step-by-step explaxition

To find the volume of rectangular prism the formual is L*W*H. So you do 5 times 10 times 30 to get 1500 ft^3

Answer:

attached

Step-by-step explanation:

attached

Answer:

D is the answer

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

You will use the 2.5 not the 3 as height.

Area of trapezoid=( A+b/2)*h

(2+4/2)*2.5

(6/2)*2.5

3*2.5

7.5

Answer:

C. 1

Step-by-step explanation:

angle L and angle N are equal so the length of ML and MN should be equal too (isosceles triangle)

4x = x + 3 subtract x from both sides

3x = 3 divide both sides by 3

x = 1

Answer:

x <3

Step-by-step explanation:

–2(5 – 4x) < 6x – 4

Distribute

-10 +8x < 6x-4

Subtract 6x from each side

-10+8x-6x < 6x-6x-4

-10 +2x < -4

Add 10 to each side

-10+2x+10 < -4+10

2x< 6

Divide by 2

2x/2 < 6/2

x <3

Answer:

it will be -3

Step-by-step explanation:

[tex]\green{hello} [/tex]

-3 is the correct option

Answer:

105 miles per hour

Hope this helps! :)

Answer:

Step-by-step explanation:

2x²-3=47

2x²=47+3

x²=50/2=25

x=±√25=±5

Answer:

x = ±5

Step-by-step explanation:

2x^2 - 3 = 47

Add 3 to each side

2x^2 - 3+3 = 47+3

2x^2 = 50

Divide each side by 2

2x^2 = 50/2

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = ±5

Answer:

Step-by-step explanation:

x^2 + 2x - 3 =0

x^2 + 3x - x -3 = 0

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

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

x+3=0

x-1=0

x=-3

x=3

x1 =-3, x2 = 1

Answer:

[tex]x=1,\\x=-3[/tex]

Step-by-step explanation:

The quadratic formula is given by [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex], where [tex]x[/tex] represents both real and nonreal solutions to a quadratic in standard form [tex]ax^2+bx+c[/tex].

Thus, with the given quadratic [tex]x^2+2x-3[/tex], we can assign values:

Substituting in these values to the quadratic formula, we have:

[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(-3)}}{2(1)}, \\\\x=\frac{-2\pm\sqrt{16}}{2},\\\\x=\frac{-2\pm 4}{2},\\\\\begin{cases}x=\frac{-2+4}{2},x=\frac{2}{2}=\boxed{1}\\x=\frac{-2-4}{2},x=\frac{-6}{2}=\boxed{-3}\end{cases}[/tex]

Verify by factoring:

[tex]x^2+2x-3=0,\\(x+3)(x-1)=0,\\\begin{cases}x+3=0,x=\boxed{-3}\:\checkmark\\x-1=0,x=\boxed{1}\:\checkmark\end{cases}[/tex]

Answer:

the value of X is 12 .........

Answer:

3. 4 meters

6. wrong, it should be 7000 meters

7. 2 dm > 10 cm

8. 30 cm = 3 dm

9. 6 km > 5000 m

10. 8 m < 90 dm

Step-by-step explanation:

__________

Answer:

3)40 decimeter = 4 meters

6)Jacob is incorrect because 7 kilometer does not equal 700 meters. The right answer would have been 7000 meters.

7)2 decimeters > 10 centimeters

8) 30 centimeters = 3 decimeters

9) 6 kilometers > 5,000 meters

10)8 meters < 90 decimeters

Hope this helped :)

Answer: x = 8, y = 2, coordinates (8,2)

Step-by-step explanation:

2x = 4y + 8 (divide by 2 to get value of x)

x = 2y + 4

(now substitute x into the second equation to find value of y)

2y + 4 - 2y = 4

2y - 2y = 4 - 4 (divide by 2 to get value of y)

y - y = 2 - 2

y = 2

Now plug in value of "y" to get value of "x".

x - 2(2) = 4

x - 4 = 4

x = 8

Coordinates (8,2)

Answer:

I think the answer is $480

Step-by-step explanation:

(4/5)/100 *$60000

=$480

Answer:

(-3,0)

Step-by-step explanation:

midpoint DF = (-6/2,0) or (-3,0)

midpoint EG = (-6/2,0) or (-3,0)

Answer:

The answer is most likely C.

Step-by-step explanation:

Using the Pythagoras' Theorem, c^2 = a^2 + b^2

I'm not sure if 242 and 262 were 24^2 and 26^2 respectively but I'm using 24^2 and 26^2 for this answer.

The c^2 is in fact x^2 where x is the hypotenuse.

However, the answer could be A if x has to be whole number. In this case, x^2 + 24^2 = 26^2

x^2 = 26^2 - 24^2 = 100

x = sqrt (100) = 10

Answer:

A = 2x²-3x-5

Step-by-step explanation:

Given that,

The length of the bedroom, l = (2x-5)

Width of the bedroom, b = (x+1)

We need to find an equation for the area of the bedroom. We know that,

Area of a rectangle = lb

Put all the values,

A = (2x-5)(x+1)

= 2x²+2x-5x-5

= 2x²-3x-5

Hence, the area of the bedroom is equal to 2x²-3x-5.

Answer:

Step-by-step explanation:

4x^2+120x

4x^2+120x=0

4x^2=-120x

4x^2/x=-120

4x=-120

x=-120/4

x=-30

Answer:

58

Step-by-step explanation:

The median is the middle number

There are 12 data points so we need to average the 6th and 7th numbers

57 is the 6th data point and

59 is the 7th data point

(57+59)/2 = 58