Which input value produces the same output value for the two functions on the graph?

x = −1
x = 0
x = 1
x = 2

Answer:

13.7

Step-by-step explanation:

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The volume of a given rectangular prism is 100 cubic meter.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.

We know that, a rectangular prism has a length of 10 m, a height of 2 m, and a width of 5 m.

Here, volume = 10×5×2

= 100 cubic meter

Therefore, the volume of a given rectangular prism is 100 cubic meter.

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Answer:

[tex](f-g)(x) =3^x + 5x + 3[/tex]

Step-by-step explanation:

[tex]f(x) = 3^x + 10 x\\g(x) = 5x -3 \\(f-g)(x) = f(x) - g(x)\\[/tex]

              [tex]=(3^x + 10 x) - (5x-3)\\=3^x + 10 x- 5x + 3 \\=3^x + 5x + 3[/tex]

Answer:

B.

right scalene triangle

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

They are completing the square

x^2 +12x +29

Take the coefficient of the x term

12

Divide by 2

12/2 = 6

Square  it

6^2 = 36

Add 36 and subtract 36

(x^2 +12x +36) -36 +29

Inside the parentheses becomes ( x+6)^2

option

(c) is correct

Step-by-step explanation:

jsjsjd

Answer:

A, B, E

Step-by-step explanation:

Answer:

7. MN = 12

8. m<XYZ = 90°

9. m<YXM = 49°

10. m<XWZ = 131°

Step-by-step explanation:

This drawing is messed up.

The perspective is off because <NMW looks to be an obtuse angle because it appears to be greater than a square angle or 90°.

The median should be accurate in perspective even though WZ appears to be greater than MN or XY which is greater than WZ but appears to be smaller than WZ.

Answer:

the answer is 30.96

Step-by-step explanation:

multiply 3.14 times 6×6-12×12

Answer:

Aceleracion = 4 m/s²

Step-by-step explanation:

Dados los siguientes datos;

Velocidad inicial = 10 m/s

Velocidad final = 70 m/s

Tiempo, t = 12 segundos

Para encontrar la aceleración;

Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.

Matemáticamente, la aceleración viene dada por la fórmula;

[tex] Aceleracion = \frac{final \; velocidad - inicial \; velocidad}{tiempo}[/tex]

Sustituyendo en la fórmula, tenemos;

[tex] Aceleracion = \frac{60 - 0}{15}[/tex]

[tex] Aceleracion = \frac{60}{15}[/tex]

Aceleracion = 4 m/s²

Step-by-step explanation:

Tan30=4/adj

adj Tan 30= 4

adj=4/tan30

adj=6.93m

Area=L×b

4×6.93=27.72m

Answer:

C

Step-by-step explanation:

16 - 7 = 9

Answer:

x=70 degree

Step-by-step explanation:

Note : A linear pair is a pair of adjacent angles formed when two lines intersect.

Hope this helps u !!

Answer:

73

Step-by-step explanation:

(9x - 62)

(9(15) - 62) =

(135 - 62) =

(73)

m∠KJL = 73

Answer:

easy it is 100 trust me

Step-by-step explanation:

Using an absolute value inequality, it is found that the range of temperatures is between 70ºF and 74ºF.

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

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

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

[tex]|x - 72| \leq 2[/tex]

Solving the inequality:

[tex]x - 72 \geq >= -2[/tex]

[tex]x \geq 70[/tex]

And

[tex]x - 72 \leq 2[/tex]

[tex]x \leq 74[/tex]

Thus, the range of temperatures is between 70ºF and 74ºF.

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Answer:

x=±2√5

Step-by-step explanation:

x²=20

x²=4×5

x²=(2√5)²

therefore,x= ±2√5

Answer:

no clue.com

Step-by-step explanation:

i have no idea.com

Answer:

banks change people fees to make a profit off of them other wise they would be giving away free money.

Step-by-step explanation:

hope this helps and what you were asking for.

Answers:

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

Explanations:

3. We have negative correlation because the regression line is going downhill (move from left to right). The points are fairly close to the same regression line, so I'd say we have either moderate or fairly strong negative correlation. That means r is fairly close to -1. It's not -1 exactly since that would have to mean all points are on the same line.

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4. Negative correlation goes with negative r values. Refer to problem 3. Positive correlation goes to positive r values. The r value will most likely not equal the slope value, but they share the same sign.

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5. If r is close to +1, then we have fairly strong positive linear correlation. If r is close to -1, then we have fairly strong negative linear correlation. If r = 0 or close to it, then we should use some other kind of regression tool. Or perhaps the data points are simply randomly scattered about and they have no pattern at all.

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6. Refer to problem 5.

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7. Plug in x = 15 and you should find that y = -0.632(15)+27.1 = 17.62, which means that the estimated tip is roughly 17.62% of the bill.

Answer:

1/12

Step-by-step explanation:

multiple of 3 and a multiple of 4 implies it can only be 12.

Since you only have the numbers from 1 to 12,

the prob(the 12) = 1/12

Answer:

153.1 square unit

Step-by-step explanation:

for rectangle

length = 16

breadth = 8

area of rectangle = l*b

=16*8

=128 square unit

semicircle

diameter =8

area of semicircle =πd^2/8

=3.14 * 8^2 /8

=3.14 *64/8

=200.96/8

=25.12 square unit

area of the givem figure = area of rectangle + area of semicircle

=128 + 25.12

=153.12

=153.1 square unit

Answer:

?=5

Step-by-step explanation:

So let's do 16-6 (3*2)

10/2=5

Answer: ?=5

Step-by-step explanation:

In a rectangle the opposite sides are congruent (same length).

So we have ?+?+3+3=16

Let's use a variable for ?

x+x+3+3=16

Since there are 2 of the variable x we can write it as 2x since 2 of something means it's doubled. We can also combine 3 and 3.

2x+6=16

Let's subtract 6 from both sides.

[tex]2x+6-6=16-6\\2x=10[/tex]

Now let's divide both sides by 2 to find the value of x (which is ?)

[tex]\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]

The value of x/? is 5.

Answer:

x=-6 and x=1

Step-by-step explanation:

Given that:

[tex]3x^2+15x-18[/tex]

Now,

[tex]3x^2+15x-18=0\\[/tex]

Using the quadratic formula where a=3, b=15, and C=-18

x=-b±[tex]\sqrt{b^2-4ac} /2a[/tex]

x=-15±[tex]{\sqrt{15^2-4(3)(-18} } /2(3)[/tex]

x=-15±[tex]\sqrt{441} /6[/tex]

the discriminant [tex]b^2-4ac>0[/tex]

So, there are two real roots

x=-15±21/6

[tex]x=\frac{6}{6} \\x=1\\x=\frac{-36}{6} \\x=-6[/tex]

Therefore, x=-6 and x=1

Answer:

it will be 12 your welcome :)

Step-by-step explanation:

Answer:

We have 28 bags of butter cookies and 12 bags of chocolate chip cookies

Step-by-step explanation:

Let b be the number of butter cookies and c the number of chocolate chips.

Since we have them in the ratio 7:3, b/c = 7/3   (1)

Also, when Mrs Benjamin gives away 24 butter cookies, the ratio becomes 11:6. So, the remaining number of butter cookies are b - 24. So, the ratio of remaining butter cookies to chocolate chips is (b - 24)/c = 11/6   (2)

From (1) b = 7c/3 and from (2) 6(b - 24)  = 11c  ⇒  6b - 144 = 11c  (3)

Substituting b into (3), we have

6b - 144 = 11c

6(7c/3) - 144 = 11c

2 × 7c - 144 = 11c

14c - 144 = 11c

subtracting 11c from both sides, we have

14c - 11c - 144 = 11c - 11c

14c - 11c - 144 = 0

adding 144 to both sides, we have

14c - 11c -144 + 144 = 144

14c - 11c = 144

3c = 144

c = 144/3

c = 48

So, b = 7c/3 = 7(48)/3 = 7 × 16 = 112

Since each cookie is packed into bags of 4, we divide the number of each cookie by 4 to find the number of bags of cookies.

So, number of bags of butter cookies = b/4 = 112/4 = 28 bags of butter cookies

number of bags of chocolate chip cookies = c/4 = 48/4 = 12 bags of chocolate chip cookies

So, we have 28 bags of butter cookies and 12 bags of chocolate chip cookies

Answer:

pls dont kill me for wacky lines. this shall just give you a basic idea. the important part is the 90° angle

Step-by-step explanation:

Objective: Solving Piecewise Functions

Analyze the info in the graph.

We know that if x=1, the graph will coincide at 5.

If x is greater than 1, the answer will be x squared it answer so any positve interger greater than 1 the answer is that squared.

If x is less than 1, the answer will be double that x.

Let check the answer choices.

A is wrong because x is less than 1 so the answer should be 2(-2)=-4 not 4.

C is Wrong, since 5 is greater than 1, it must be 25 so 5^2=25

D and B are both right, 2 is greater than 1 so 2 squared =4 and Whenever x=1, it will equal 5.

Based on the results of the simulation, the probability that Michaela will walk animals on:

a. both days = 1/6

b. one day only = 2/3

c. at least one day = 5/6

Probability is simply how likely something is to happen.

Grooming = 0, 1, 2

Walking = 3, 4, 5, 6, 7

Cleaning = 8, 9

Based on the data generated in simulation, categorizing it into "Michael will walk animals zero days/ one day only/ both days based on the digit categorization given above.

(2,9) - zero days

(5,2) - one day

(3,9) - one day

(0,1) - zero days

(8,3) -one day

(0,5) - one day

(8,3) - one day

(6,8) - one day

(4,7) - two days

(7,4) - two days

(1,5) - one day

Probability that Michaela will walk animals both days = [tex]\frac{2}{12} = \frac{1}{6}[/tex]

Probability that Michaela will walk animals one day only = [tex]\frac{8}{12} = \frac{2}{3}[/tex]

Probability that Michaela will walk animals at least one day = Probability that Michaela will walk animals one day only + Probability that Michaela will walk animals two days only  = [tex]\frac{8}{12}+ \frac{2}{12} = \frac{10}{12} = \frac{5}{6}[/tex]

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