What is the probability of an event that is certain?

Answer:

Step-by-step explanation:

f(x)=a(x+2)(x+7)=a(x²+2x+7x+14)

or f(x)=a(x²+9x+14)

it has zeros as -2 and -7.

[tex]please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps....[/tex]

[tex]2x - z - 5 + {2z}^{2} [/tex]

Step-by-step explanation:

The coefficient of x is 2= 2x

the coefficient of z is -1 which is = (-1)z= -z

the constant term is less than zero which means that the constant term is a negative number.

so the answer becomes

[tex]2x - z - 5 + {2} { (- 1)}^{2} [/tex]

which is =2x-z-3

Answer:

2 x minus z minus 5 + 2 z squared

Step-by-step explanation:

Answer: B

Step-by-step explanation:

just took that

Answer:

the answer is B

Step-by-step explanation:

Answer:

look below

Step-by-step explanation:

first distribute 3/4 into (x-8)= 3/4x-6

3/4x-6=12

then add 6 to both sides to get rid of -6

3/4x=18

Now multiply 4 times 18 to get rid of division (72)

now you are left with 3x=72, so you now divide by 3 and you get x=24

Answer:

The correct answer is C

Answer & Step-by-step explanation:

Answer after you have shown organized work to get to the solution. 4. If you have ... content that you may have trouble with- search under 6th and 7th grade math. If you are ... Olivia has $143 in the bank. She withdraws. $40. Then she deposits $92. Write an addition expression to represent the situation. Then find the sum. 8

Answer:

f(x) = x^2 - 2x + 12

Step-by-step explanation:

the f(x) equation has a y-intercept of 12 because f(x)=x^2 - 2x has a y-intercept of 0 and the + 12 at the end shifts the function up 12 units putting the y-intercept at (0,12) while on the graph of the function g(x) it intercepts the y-axis at (0,1).

Answer:

Scale factor could be calculated by the ratio of a pair of corresponding sides:

Here, select the top sides, scale factor = 44/22 = 2

Hope this helps!

:)

Answer:

Step-by-step explanation:

Let y = -A cos B(t -c) + D

A, amplitude = 20ft

Period = 2π / B ( B = π / 15)

= 30

c = 0

Vertical shift D = 21.5 ft

Equation becomes

[tex]y= -20 \cos \frac{\pi}{15}( t-0)+21.5[/tex]

[tex]\to y=-20\cos \frac{\pi}{15} t+21.5[/tex]

a) Top of the ferris wheel is

t = 15sec, 45sec, height = 41.5ft

b) At the bottom of the ferris wheel

t = 0, 30sec, 60 sec

height = 1.5ft

c) Exact middle of the ferris wheel

t = 15/ 2 = 7.5sec, 22.5sec, 37.5sec, 52.5sec

d) [tex]f(t) or h = -20 \cos (\frac{\pi}{15} t)+21.5[/tex]

Answer:

C. 5

Step-by-step explanation:

Believe in me

Answer:

We know that 2/6 * 48 = 16 books are fantasy and sci-fi. Of those, 16 * 3/8 = 6 books are sci-fi.

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]\frac{2}{6} \times 48[/tex]

[tex]16[/tex]

[tex]16 \times \frac{3}{8}[/tex]

[tex]\frac{48}{8}[/tex]

[tex]=6[/tex]

Answer:

42

Step-by-step explanation:

(7)x6

42

Answer:

42

Step-by-step explanation:

Remember:

P arenthesess

E xponent

M ultiplictaion

D ivision

A ddition

S ubtraction

First,

3 + 4 = 7

Then,

7 x 6 = 42

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:

[tex]a = \frac{5}{2}b[/tex]  

Step-by-step explanation:

6a - 4b = 6b + 2a

Combine like terms:

6a - 2a - 4b = 6b (Subtract '2a' from both sides)

4a = 6b + 4b (Add '4b' to both sides)

4a = 10b

[tex]a = \frac{5}{2}b[/tex]   (Divide both sides by 4)

Therefore, when simplified, [tex]a = \frac{5}{2}b[/tex].

Answer:

1/2x +5

Step-by-step explanation: Right answer

Answer:

[tex]f^{-1} (x)=\frac{x+10}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10[/tex]

[tex]y=2x-10[/tex]

[tex]y+10=2x[/tex]

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

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

[tex]\frac{x+10}{2}=f^{-1} (x)[/tex]

Answer:

45

Step-by-step explanation:

The total amount of oranges and apples in the box are 54.

54/(1+5)

54/6

= 9

Oranges to apples is in the ratio 1:5

1×9 : 5×9

9 : 45

The number of oranges in the box are 9.

The number of apples in the box are 45.

Answer:

45 apples and 9 oranges

Step-by-step explanation:

Total = 54

Ratio = 1:5

Total Parts = 1+5 = 6

Oranges:

=> [tex]\frac{1}{6} * 54[/tex]

=> 1*9

=> 9 oranges

Apples:

=> [tex]\frac{5}{6} * 54[/tex]

=> 5*9

=> 45 apples

Answer:

(7 a - 8y^2) x (3-y)

Step-by-step explanation:

21a+8xy^3 −24y^2−7axy

factor out 3 from the expression

3( 7 a - 8 y^2) + 8y^3 - 7 a y

3(7 a - 8 y^2) - y x (-8y^2 + 7 a)

Factor out 7 a - 8y^2 from the expression

(7 a - 8y^2) x (3-y)

= (7 a - 8y^2) x (3-y)

Answer:

The exponential function represents growth, the percentage rate of increase is 7.8 %

Step-by-step explanation:

Please see the attachment.

The exponential function represents growth, the percentage rate of increase is 7.8 %

Answer:

See explanation.

Step-by-step explanation:

The question is not very clear, but I am assuming that you are asking how to get from 30/8 to 3 6/8

This is a mere simplification problem. We have simplified 30/8 into 3 6/8.

To start, let's check out the multiples of 8 that are less than 30

8, 16, 24. We want the largest multiple, 24. here we have

[tex]\frac{24}{8} + \frac{6}{8}[/tex]

Simplify 24/8 into 3.

Now you're done!

3 6/8!

Answer:

r = 5/3

Step-by-step explanation:

Answer:No change

Step-by-step explanation:

3*17=51 + 5*12=60

So 51+60=111. So in reality you would still need to pay $1.

Answer:

you still owe 1 dollar to the store

Answer:

True

Step-by-step explanation:

Answer:

3.5°/hour

Step-by-step explanation:

Rate of change of temperature=change in temperature/Change in time

Change in temperature

=82° - 54°

=28°

Change in time=3:00pm - 7:00am

=8:00 hours

Rate of change of temperature=28°/8 hours

=3.5°/hour

Answer:

The rate of temperature change is 3.5 degree celcius per hour

Step-by-step explanation:

Here, we want to calculate the rate of change of temperature

Firstly, we calculate the number of hours it took the temperature to change

that mathematically = 15:00(3pm) - 7:00(7 am) = 8 hours

now let’s calculate the temperature rise = 82-54 = 28

The rate of temperature change is thus = change in temperature/ number of hours taken

= 28/8 = 3.5 degree celcius per hour

Answer: x = 2

Step-by-step explanation:

Answer:

x = ± 2

Step-by-step explanation:

Given

(x² + 4)² - 11(x² + 4) + 24 = 0

Use the substitution

u = x² + 4, then

u² - 11u + 24 = 0 ← in standard form

(u - 3)(u - 8) = 0

Equate each factor to zero and solve for u

u - 3 = 0 ⇒ u = 3

u - 8 = 0 ⇒ u = 8

Change u back into terms of x

x² + 4 = 8 ( subtract 4 from both sides )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

One value of x tat is a solution is x = 2

Answer:

not sure if that is the Answers

The equation of a line is y = mx where m is the slope. That line passes through the origin. If you want it to pass through some point (a, b) you subtract the coordinates like this: y - b = m (x - a). That is the point-slope form, and you can rewrite it in other forms if it is convenient. You may do this with any point on the line.

Step-by-Answers

Answer:

1 : 9

Step-by-step explanation:

Given 2 similar figures with sides in ratio a : b , then

ratio of areas = a² : b²

Here the ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

The ratio of the areas of the similar triangles is 1 : 9

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔDEF

And , they are similar triangles

Now , the sides of one are three times as long as the sides of the other

Let's call the sides of the smaller triangle a, b, and c, and the sides of the larger triangle 3a, 3b, and 3c. Then we know that:

a : 3a = b : 3b = c : 3c

Simplifying this, we get:

1 : 3 = 1 : 3 = 1 : 3

This means that the corresponding sides of the two triangles are in a ratio of 1:3

Now, let's use the formula for the area of a triangle:

A = ( 1/2 ) x base x height

The base and height of the two triangles are also in a ratio of 1:3, so the ratio of their areas is:

(1/2) x 1 x 1 : (1/2) x 3 x 3

So , the ratio is 1 : 9

Hence , the ratio of the areas of the smaller triangle to the larger triangle is given by 1 : 9

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2

Answer:

[tex] 155 = {2}^{7} + {3}^{3} [/tex]

Step-by-step explanation:

[tex] \because \: 155 = 128 + 27 \\ 128 = {2}^{7} \: \: and \: \: {3}^{3} \\ \\ \huge \red{ \boxed{ \therefore \: 155 = {2}^{7} + {3}^{3} }}[/tex]

Answer:

the altitudes of a triangle intersect at the "orthocenter".

Step-by-step explanation:

The orthocenter is the point where the three altitudes of a triangle meet if the triangle is acute.

Answer:

The digits go on for infinity (3.14159. . .), but the simplified version is equal to 3.14.  

Step-by-step explanation: