Properties of a quadratic when b = 0

Answer:

[tex] \displaystyle b)y = { 3}^{ - x} + 1[/tex]

Step-by-step explanation:

we are given a exponential function

[tex] \displaystyle y = {3}^{x} + 1[/tex]

we want to figure out the equation of the new graph reflected across the y-axis

remember that,

[tex] \rm\displaystyle (x,y) \xrightarrow{ \text{ reflection over y - axis}}( - x,y)[/tex]

let y be [tex]3^x+1[/tex] so,

[tex] \rm\displaystyle (x,y) \xrightarrow{ \text{ reflection over y - axis}}( - x, {3}^{ - x} + 1 )[/tex]

hence,

the equation of the new graph

[tex] \displaystyle y = { 3}^{ - x} + 1[/tex]

Answer:5

Step-by-step explanation:

Answer:

arc XY = 15 units

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Length of arc of the sector = [tex]\frac{\theta}{360} \times (Circumference \: of \: the \: circle)[/tex] where θ is the angle subtended by arc of the sector at the center of the circle.

SOLUTION :-

[tex]XY = \frac{60}{360} \times 90 = \frac{90}{6} = 15[/tex]

Answer: it would be  P=4n

Answer:

obtuse

Step-by-step explanation:

The angle on the protractor is 113 degrees, which makes it an obtuse angle.

Obtuse angle is any angle greater than 90° and the angle shown is 133°

Answer:

A: 46 meters at 3 seconds

B: 0 meters at 6.033 seconds

C. It depends where the tree is

D. 6.033 seconds

Step-by-step explanation:

A. To find max height, we need to find the vertex.

We can do this by using vertex from y=a(x-h)+k for y=a^2+b^2+c^2

h(t) = -5t^2+30t+1

h(t)+45 = - 5x^2+30x+45+1

h(t)+45= -5(x^2-6x-9)+1

h(t)+45 = -5(x-3)^2+1

h(t) = -5(x-3)^2+46

Hence, the max height is 46 at 3 seconds

B. The minimum height is 0 meters because of the problem

C. It depends because the parabola intersects x=10 in 2 places meaning that you need the tree to be in either of these two places to intercept the horseshoe

D. -5x^2+30x+1=0

     5x^2-30x-1=0

     x=  (30+-sqrt(30^2-4*5*-1))/2*5

     x=(30+-sqrt920)/10

     x=3+-2sqrt230/10

     x=3+-sqrt230/5

      This means that x =  -0.033  or 6.033. Negative value doesn't make sense so it's 6.033 seconds  

Answer: Answer

4.0/5

37

jdoe0001

Genius

13.9K answers

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check the picture below.

notice, the cross-section is just a 6x36 rectangle, and its area is, well just 6*36.

Step-by-step explanation: hope this helped

c = 22.3 km

Step-by-step explanation:

You can solve this problem using cosine law:

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) [/tex]

where a and b are the legs of the triangle, c is the unknown length and the angle gamma is the angle opposite length c. We know that

a = 50 km

b= 52.4 km

gamma = 25°

c^2 = (50 km)^2 + (52.4 km)^2 -2(50)(52.4)cos25°

= 496.707 km^2

or

c = 22.3 km

Answer:

22 times

Step-by-step explanation:

C

Answer:

Angle 5 = 35 degrees

Step-by-step explanation:

A straight line is equal to 180 degrees, meaning 1 + 2 + 5 = 180 degrees because they make up a straight line.

Angle 2 = 55 degrees

Angle 1 = 90 degrees (because it is a right angle)

Angle 5 = ?

Set up an equation:

90 + 55 + angle 5 = 180

145 + angle 5 = 180

Angle 5 = 35

Answer: 7 games

Step-by-step explanation:

First remove the cost of the shoe rental as this is a fixed cost:

= 20 - 1.75

= $18.25

This means that Ian had only $18.25 to spend on bowling. If each game cost $2.50, the number of games he could bowl are:

= Amount available / Amount per game

= 18.25 / 2.50

= 7.3

= 7 games

Answer:

The surface area of the cuboid is 648 m^2

Step-by-step explanation:

What we have here is cuboidal in outlook

By using the formula for the surface area of a cuboid, we can get the surface area of the shape

mathematically, we have the surface area of a cuboid as follows;

2(lb + lh + bh)

where l is the length, b is the breadth (width) and h is the height

We can have the length as 9 m, the width as 9 m and the height as 13.5 m

Substituting these values, we have the surface area of the cuboid as;

A = 2(9(9) + 9(13.5) + 9(13.5))

A = 2(81 + 243)

A= 2(324)

A = 648 m^2

Answer:

C

Step-by-step explanation:

The height of the door is given as 10 feet. The bottom 1/2 has a height of 5 feet.

The width of one door = 12/2 = 6 feet.

The value for x^2 = 5^2 + 6^2

x^2 = 25 + 36

x^2 = 61

sqrt(x^2) = sqrt(61)

x = 7.81

The closest value = 8

Answer:

3x2−7x−6=0

x=−7±(−7)2−4(3)(−6)√2(3) =−7±121√6 x=23 and x=−3 x = − 7 ± ( − 7 ) 2 − 4 ( 3 ) ( − 6 ) 2 ( 3 )   = − 7 ± 121 6   x = 2 3  and  x = − 3    

Step-by-step explanation:

Answer:

648

Step-by-step explanation:

bases of 3 and 2 are not the same so cannot multiply them and add exponents

3^4 = 81

2^3 = 8

81 x 8 = 648

Answer:

269.46

Step-by-step explanation:

sin(theta) = opposite / adjacent

adjacent = opposite / sin(theta)

adjacent = 1425*sin(10.9)

adjacent = 269.4610063

Answer:

I think Its D I'm not sure though because when it comes to maths I'm not smart

Answer:

the correct answer is A x<-2

Step-by-step explanation:

2x<1/2x-3

4x<x-6

4x-x<-6

3x<-6

x<-2

Answer:

6-----7{8}9-----10

Step-by-step explanation:

I can't upload a photo but the lower extreme is 6, the lower quartile is 7, the median is 8, the upper quartile is 9, and the upper extreme is 10

Hope this helped :)

Answer:

2 3/4

Step-by-step explanation:

Answer:

x ≤ 205.05

Step-by-step explanation:

x = dollar amt remaining for other books

30 + 14.95 + x ≤ 250

44.95 + x ≤ 250

x ≤ 205.05

x ≤ $205.05 is an inequality that correctly describes this situation.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Let's use x to represent the amount of money Ms. Edwards can spend on other books.

We know that Ms. Edwards can spend at most $250 in total and that she will already spend $30 + $14.95 = $44.95 on the reference books on birds and planets.

Therefore, the amount she has left to spend on other books is:

x = $250 - $44.95

x = $205.05

Ms. Edwards can spend up to $205.05 on other books.

To write this as an inequality, we can use the less than or equal symbol since Ms. Edwards cannot spend more than $205.05:

x ≤ $205.05

Therefore, the inequality that correctly describes this situation is:

x ≤ $205.05

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ2

Answer:

a) 84π b) 109.2π

Step-by-step explanation:

The formula to find this is v=πr^2h/3

r=d/2. so the radius (r) is 6 because you have to divide the diameter (12) by 2. and the height is 7. so, 6^2=36 and 36x7=252.

252/3=84

and because the question is asking for the EXACT value, you need to just put the pi symbol next to it. Final answer for a is 84π

B) you need to find 30% of 84, which is 25.2 and add it to 84, and you will get 109.2! Final answer is 109.2π.

Answer: do 8-10 = 2 the do 8+10= 18 then 18+2=20 so your answer is 20

Step-by-step explanation:

Answer:

See attachment for drawing

Step-by-step explanation:

Given

[tex]Volume = 1000[/tex]

[tex]Height = 10[/tex]

Required

Drawing that proves Mateyo wrong

First, calculate the base area

[tex]Volume = Base\ Area * Height[/tex]

This gives:

[tex]1000= Base\ Area * 10[/tex]

Divide both sides by 10

[tex]100= Base\ Area[/tex]

Rewrite as:

[tex]Base\ Area = 100[/tex]

The base area is calculated as:

[tex]Base\ Area = Length * Width[/tex]

So, we have:

[tex]Length * Width = 100[/tex]

Mateyo's claim can be interpreted as:

[tex]Length = Width = 10[/tex]

However, there are other possible cases such that:

[tex]Length \ne Width[/tex]

For instance:

[tex]Length = 20[/tex]

[tex]Width = 5[/tex]

See attachment for drawing

Answer:

45 square inches

Step-by-step explanation:

[tex]\frac{1}{20} = \frac{x}{900}[/tex]

to find x you need to divide 900 by 20

[tex]\frac{1}{20} = \frac{45}{900}[/tex]

Answer:

The answer is 0.42

Step-by-step explanation:

First we add all the item counts

9 + 12 + 7 = 28

then we divide the number of spoons by 28

12/28 = 0.42

Hope this helps :)

The probability that the selected silverware from the drawer is a spoon is 12/28 or 0.42.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A silverware drawer contains 9 forks, 12 spoons, and 7 knives. The total number of items present in the drawer is,

[tex]n=9+12+7\\n=28[/tex]

One piece of silverware is selected at random from the drawer. The drawer contains 12 spoons.

Thus, the probability that a spoon is selected from the drawer which contains 28 silverware is,

[tex]P=\dfrac{12}{28}\\P=0.42[/tex]

Hence, the probability that the selected silverware from the drawer is a spoon is 12/28 or 0.42.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer:

The answer is b 2/5 times 1/4

Step-by-step explanation:

Answer:

The answer should be 10c - 4d

Step-by-step explanation:

3c + 7c - 9d + 5d = 10c - 4d

Step-by-step explanation:

First you add up 3c and 7c as they have the same parameter. That makes 10c. Then calculate 5d-9d which equals -4d. You can change the order of 5d-9d in a way that you would reduce the larger number from the smaller number so that you could calculate it easily like that. The final Ander 2ould be 10c-4d

Answer:

Sequence 1 is arithmetic, sequence 2 is geometric.

Step-by-step explanation:

Sequence 1 is being subtracted by 16 each time, so it is arithmetic.

Sequence 2 is being divided by 2 each time, so it is geometric.

Both, sequence 1 and 2, have terms 32 and 16.

Step-by-step explanation:

area of a circle

A = pi x r^2

r = 3/2in

r= diameter / 2

Answer:

-2

Step-by-step explanation:

Answer:

its -8

Step-by-step explanation:

i got it rigth on edge