Which expressions are equivalent to the expression 4a – 6b + 3c?
a + 3(a − 2b + 3c)
4a + 3(2b + c)
2(2a − 3b + c) + c
2(2a − 3b) + 3c

Answer:

Step-by-step explanation:

The prime factor of the product 75:

Factors of 75

1,3, 5, 15, 25, 75

or for the prime factorization of 75

3 x 5 x 5, which can also be written 75 = 3 x 5².

Hope this help :)

Answer:

3 × 5 × 5

I hope this helps!

Answer:

[tex]f\left(2,3,1\right)=\bold{14}[/tex]

Step-by-step explanation:

Given the function:

[tex]f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}[/tex]

To find:

The value of [tex]f(2, 3, 1)[/tex] = ?

Solution:

[tex]f(2, 3, 1)[/tex] means the values of [tex]x, y\ and\ z[/tex] as:

[tex]x=2\\y=3\\z=1[/tex]

Let us put the given values in the given function and let us solve for it:

[tex]\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}[/tex]

Therefore, the answer is:

[tex]f\left(2,3,1\right)=\bold{14}[/tex]

Answer:

f(-1) = -6

Step-by-step explanation:

[tex]f(x) = (x+2)^{2}-6[/tex] for [tex]x\neq -1[/tex]

[tex]f(x) = -6[/tex] for x = -1

f(-1) means x=-1, so we can't use the first expression.

Answer:

Used for Linear Graphs

Step-by-step explanation:

Y=mx = b

m represents the slope/gradient of the graph

b represents the y intercept

Answer:

I believe it would be 16

Step-by-step explanation:

8 is half of 16 and if she had 8 dollars after spending half her allowance, she would've had 16 as her allowance

Final answer: Her allowance would be 16 dollars

Answer:

y = P • (1+r)^t

Balance after 2 years: $3307.5

Step-by-step explanation:

To answer this question, we will use standard equation that calculates bank interests:

A = P(1+(r/n))^(n•t)

It might seem complicated, but let's explain:

A - amount of money after the time period

P - principal amount, the amount of money you started with

r - interest rate, in decimal numbers

n - number of times interest is being calculated per year

t - number of years

Since here, interest is annual, n = 1, so our equation is:

A = P(1+r)^t

P = $3000

r = 5% = 0.05

t = 2 years

A = 3000(1+0.05)^2

A = 3000•(1.05)^2

A = $3307.5

I hope it is helpful for you ....

Answer:

-12

Step-by-step explanation:

h/6 -1 = -3

h - 6 = - 18

h = -18 + 6

h = -12

Answer:

h= -12

Step-by-step explanation:

-12/6= -2

-2- 1 = -3

-3= -3

Answer:

Step-by-step explanation:

y-2=3(x-5)

y-2=3x-15

Slope intercept form is y=3x-13

y-12= -2(x-3)

y-12= -2x+6

Slope intercept form is y= -2x+18

Answer:

y=5/2+3

Step-by-step explanation:

Answer:

Y = -3/4  + 7

Step-by-step explanation:

7 is the y intercept

-3/4 is the slope

Answer:

48

Step-by-step explanation:

It's given that Ava takes 4 breaths every 10 seconds.

4 breaths : 10 seconds. ...(1)

To solve this, first we need to calculate how many seconds there are in two minutes.

As 60 seconds make up one minute, 120 seconds make up two.

Now, to solve for the number of breaths (x), we just multiply (1) by 12. We do this so that we get 120 seconds on the right side, so the left side will give us the answer we need.

4 × 12 breaths : 10 × 12 seconds

48 breaths : 120 seconds.

So, the final answer would be 48 breaths.

Hope this helps! :D

Answer:

-5

Step-by-step explanation:

m = y2 - y1

      x2 - x1

-19 - 1 = -20

4 - 0 = 4

-20/4 = -5

Answer:

The slope is -5x

Step-by-step explanation:

Use this formula [tex]\frac{y2-y1}{x2-x2}[/tex]

Now plug in your numbers.

[tex]\frac{-19 - 1}{4 - 0} \\\frac{-20}{4} \\[/tex]

-20 ÷ 4 = -5

Hope this helps ya!!

Answer:

x=3

Step-by-step explanation:

15-7x=5x-21

12x=36

x=3

Answer:

a=5

Step-by-step explanation:

18-2a=8

-18     -18

-2a=-10

/-2  /-2

a=5

Answer:

false

Step-by-step explanation:

Answer:

[tex]P(64<x<76)=0.68[/tex]

Step-by-step explanation:

Given that, the mean, [tex]\mu[/tex], and the standard deviation, [tex]\sigma[/tex], of normally distributed exam score are :

[tex]\mu=70[/tex]

[tex]\sigma=6[/tex]

Let [tex]x[/tex] represent the score on a randomly selected exam from this set

The z-score, for the randomly selected exam score x:

For 64<x<76, the range of z-score is

[tex]\frac{64-70}{6}<z<\frac{76-70}{6}= -1<z<1[/tex]

Now, from the z-score table, the value for z=-1 is the probability for x<64.

As the value for z=-1 is 0.15866, so

P(x<64)=0.15866.

Similarly, the value for z=0.67 is 0.84134, so

P(x<76)=0.84134

So, [tex]P(64<x<76)= P(x<76)-P(x<64) \\\\[/tex]

[tex]\Rightarrow P(64<x<76)=0.84134-0.15866=0.68268.[/tex]

Hence, [tex]P(64<x<76)=0.68[/tex]

Answer:

0.68

Step-by-step explanation:

khan

Answer:

niwebfasfbjsdfb

Step-by-step explanation:

jsdfhsdbfjhadsjbdsfhb

Answer:

the answer Is 277.2

Step-by-step explanation:

V=277.2

Answer:

t=−7

Step-by-step explanation:

FIRST

Given:

Total number of cars = 36

Each car has 2 red stickers and one blue sticker.

To find:

The expression that represents the total number of stickers on the 36 cars.

Solution:

Total number of cars = 36

Each car has 2 red stickers and one blue sticker. So,

Total number of stickers on each car = (2+1)

Total number of stickers on 36 car = 36(2+1)

                                                           = 36(3)

                                                           = 108

Therefore, the required expression for the total number of stickers on the 36 cars is 36(2+1) and the total number of stickers is 108.

The correct equation of the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9) is y = (-5/2)x - 4.

Here,

Let's go through the steps again and find the correct equation for the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9).

Step 1: Convert the given equation into slope-intercept form.

2x - 5y = 5

Subtract 2x from both sides:

-5y = -2x + 5

Now, divide everything by -5 to isolate y:

y = (2/5)x - 1

So, the slope of the given line is 2/5.

Step 2: Find the slope of the line perpendicular to the given line.

For two lines to be perpendicular, their slopes must be negative reciprocals of each other.

The negative reciprocal of 2/5 is -5/2.

Step 3: Write the equation of the line using the point-slope form.

Now that we have the slope (-5/2) and a point (2, -9), we can use the point-slope form of the linear equation:

[tex]y - y_1 = m(x - x_1)[/tex]

where m is the slope, and [tex](x_1, y_1)[/tex]is the given point.

Substitute m = -5/2 and [tex](x_1, y_1)[/tex] = (2, -9):

y - (-9) = (-5/2)(x - 2)

Simplify:

y + 9 = (-5/2)x + 5

Now, isolate y by subtracting 9 from both sides:

y = (-5/2)x + 5 - 9

y = (-5/2)x - 4

So, the correct equation of the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9) is y = (-5/2)x - 4.

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Answer:

For 20 hours it would be $1,500.

Step-by-step explanation:

The equation for this problem would be Y = 50x + 500.

Y is the total charge and x is the number of hours.

Hope this helps! Sorry if it was not what you were looking for!

Answer: 1500

Step-by-step explanation: 50x20=1,000 plus the addition price of the supplies 1,000+500= $1500

Answer:

59

Step-by-step explanation:

The total amount of angles in a triangle with equal 180 degress

Answer:

Step-by-step explanation:

83° + 38° + x° = 180°

121 + x = 180

x = 59

Answer:16

Step-by-step explanation:if he scores 2 goals a game then all you have to do is minus 60 from 92 and divide it by two

92-60= 32goals needed

32/ 2 goals a game = 16 games

Answer:

K=3

Step-by-step explanation:

I think so, if I’m wrong I’m sorry

Answer:

Step-by-step explanation:

[tex]\frac{9}{12}[/tex] = [tex]\frac{k}{k+4}[/tex]

12k = 9(k + 4)

12k - 9k = 36

3k = 36

k = 12

1.0915 x 10{9} <----Exponet

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

The given inequality is |y – 3| − 4 ≤ −3.

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements. “Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements.

Now, solve inequality |y – 3| − 4 ≤ −3.

Add 4 on both sides of the inequality.

That is, |y – 3| − 4+4 ≤ −3+4

y-3≤1 OR -1≤y-3

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

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9514 1404 393

Answer:

  16b = 96

Step-by-step explanation:

There are many aspects of "this situation" for which we could write equations. Perhaps the one that is of interest is ...

  b bags of 16 treats each will total 96 treats

  16b = 96