translate the following phrase into a mathematical expression 12 fewer than triple the value of x ​

Answer:

[tex]\displaystyle [7x + 2][3x - 7][/tex]

Step-by-step explanation:

Find two quantities that when differed to 43, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the plus symbol because the B-value is −43, therefore 49 gets the minus symbol, leaving 6 with the plus symbol. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:

[tex]\displaystyle 21x^2 - 43x - 14 \\ \\ [21x^2 + 6x] - [49x - 14] \\ 3x[7x + 2] - 7[7x + 2] \\ \\ \boxed{[7x + 2][3x - 7]}[/tex]

I am joyous to assist you at any time.

Answer:

The answer is zero(0) because x is the same and -8 + 8 would equal 0

Step-by-step explanation:

Answer:

distribute the 2 to the 3 and 4 so you get 6+8  which is 14

Step-by-step explanation:

24+2x=3x+14

-14

10+2x=3x

-2x

10=x

Answer:

10=x

Step-by-step explanation:

24+2x=3x+14

-14

10+2x=3x

-2x

10=x

Answer:

6(6x^2-4x-3)

Step-by-step explanation:

pull out the gcf which is 6 and it is complete because it is impossible to factor 6x^2-4x-3

Answer:

[tex]6 (6x^{2} - 4x - 3)[/tex]

Step-by-step explanation:

[tex]36x^{2} - 24x - 18[/tex]

[tex]= 6 (6x^{2}) - 6 (4x) - 6(3)[/tex]

[tex]= 6 (6x^{2} - 4x - 3)[/tex]

Answer:

The median is the same for both car types, but Bandit have lower mean.

Step-by-step explanation:

complementary angles is when the sum of two angles is equal to 90 degrees.

∠A +  ∠B = 90°

21° + ∠B = 90°

∠B = 90° - 21°

∠B = 69°

Answer:

∠B = 69°

Step-by-step explanation:

Complementary angles are such pairs of angles that sum up to 90°. In this case, we are given that ∠A and ∠B are a pair of complementary angles. This means that ∠A and ∠B sum up to 90°.

⇒ [tex]\angle A + \angle B = 90\°[/tex]

⇒ [tex]21\° + \angle B = 90\°[/tex]                                                                                    [∠A = 21°]

⇒ [tex]\angle B = 90 - 21[/tex]

⇒ [tex]\angle B = 69\°[/tex]

Answer:

312,000,000

Step-by-step explanation:

Standard notation is when you move the decimal however many times the 10 is being squared by. In this case, it is 8.

Since the 8 is not negative, we move it 8 times to the right.

Since there are only 2 digits, we add 6 more zeros because 2+6=8

that is how you get 312,000,000

Answer:

1/10+1/10=2/10

Step-by-step explanation:

we first need to add all marbles and make a fraction of white and red marble

Answer:

D. Congruent

Step-by-step explanation:

Answer:

a &b

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

3/20= 0.15

15/100= 0.15

Answer:20

Step-by-step explanation: Add all the marbles up = 100 divided by 2 = 50 so then divide the purple marble by 2 =20.

Tanya should expect to pull a purple marble for 8 times.

The experimental probability of an event is based on the number of times the event has occurred during the experiment and the total number of times the experiment was conducted.

Given that, Tanya performed an experiment in which she randomly pulled a marble from a bag,

Out of the experiment that Tanya performed, we can get an experimental probability.

This experimental probability is given by the quotient between the frequency for each color, and the total number of trials.

The total number of trials is:

N = 25 + 35 + 40 = 100

And on 40 of these, she got a purple marble, then the experimental probability of getting a purple marble is:

p = 40/100 = 0.4

Now, if she draws 50 marbles more, she should expect to get:

0.4×50 = 8

Hence, Tanya should expect to pull a purple marble for 8 times.

Learn more about experimental probability click;

https://brainly.com/question/30694293

#SPJ2

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x + 4y = - 40 ( subtract 5x from both sides )

4y = - 5x - 40 ( divide all terms by 4 )

y = - [tex]\frac{5}{4}[/tex] x - 10 ← in slope- intercept form

with y- intercept c = - 10 ⇒ (0, - 10 ) → B

Step-by-step explanation:

To find the y intercept of the line we must first write the equation in standard form which is

y = mx + c

where

m is the slope

c is the y intercept

So we have

5x + 4y = - 40

4y = -5x - 40

Divide both sides by 4

We have the equation as

[tex]y = - \frac{5}{4} x - 10[/tex]

From the question the y intercept is - 10

We have the final answer as

Hope this helps you

After 8 seconds the ball height was 42 units.

It is given that on a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time.

It is required to find how high was the ball after 8 seconds.

It is defined as the graph of a quadratic function that has something bowl-shaped.

The orbit of the ball will be a parabola.

We know the standard form of a quadratic function:

[tex]\rm y=ax^2+bx+c[/tex]      where [tex]\rm \\a\neq 0[/tex]

At x = 0 and y = 10, we get:

[tex]\rm 10 =a(0)^2+b(0)+c\\\rm 10= c\\\rm c=10[/tex]

At x = 2 and y=24, we get:

[tex]\rm 24= a(2)^2+b(2)+c\\\rm 24=4a+2b+10\\\rm 4a+2b=14[/tex]....(1)

At x = 16 and y = 10, we get:

[tex]\rm 10= a(16)^2+b(16)+c\\\rm 10=256a+16b+10\\\rm 256a+16b=0 \\[/tex]....(2)

By solving equations (1) and (2), we get;

a = - 1/2, b = 8 and c = 10

Putting these values in the standard form of a quadratic function, we get:

[tex]\rm y = - \frac{1}{2} x^2+8x+10\\[/tex]

Now, after 8 seconds means when x = 8, we get:

[tex]\rm y=-\frac{1}{2}\times 8^2 +8\times8+10\\\rm y = -32+64+10\\\rm y= 42[/tex]

Thus, after 8 seconds the ball height was 42 units.

Know more about the parabola here:

https://brainly.com/question/8708520

Answer:

b

Step-by-step explanation:

Answer:

[tex]\frac{17}{30}[/tex]

Step-by-step explanation:

→ Substitute in the numbers

[tex]1\frac{2}{5} -\frac{5}{6}[/tex]

→ Simplify

[tex]1\frac{2}{5} -\frac{5}{6}=\frac{7}{5} -\frac{5}{6}=\frac{42}{30} -\frac{25}{30} =\frac{17}{30}[/tex]

Answer:

6000

hope this helps =3

Answer:

Above is the solution to the question

Answer:you got all of them right good job

Step-by-step explanation:

Answer:

You did a good job

Step-by-step explanation:

keep it up

7.5 × 10¹⁸

Count the zeros in a number.

thus in scientific notation: 7.5 × 10¹⁸

another example:

Answer:

1808.64

Step-by-step explanation:

Given parameters:

Height of  cylinder = 9 meters

Radius = 8 meters

To Find:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

Volume  = π r ² h

9(3.14)8^2=1808.64

[RevyBreeze]

Solution:

Given:

Recall that the volume of the cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.

[tex]\bullet \rightarrow \pi r^{2} h = \text{Volume of cylinder}[/tex]

[tex]\bullet \rightarrow (\pi)(r^{2})( h) = \text{Volume of cylinder}[/tex]

[tex]\bullet \rightarrow (3.14)(8^{2})( 9) = \text{Volume of cylinder}[/tex]

[tex]\bullet \rightarrow (3.14)(64)( 9) = \text{Volume of cylinder}[/tex]

[tex]\bullet \rightarrow \boxed{1808.64 \ m^{2} = \text{Volume of cylinder}}[/tex]

Answer:

91931 blue marker are made more than red

63012 blue marker are made more than green

Answer:

1.186836*10^12 burger

Step-by-step explanation:

first, there is not even 1billion cows on earth, according to statista.com, there are 989.03 million billion cows on earth in 2019. according to the genus on the quora, you can make 1200 burger from 1 cow, so 989,030,000*1200

sign, 1.186836e+12.

Answer:

a) 8 apples

b) 5 oranges

c) 2 oranges and 6 apples

Step-by-step explanation:

a) 8 apples × 1$ = 8$ < 10$

b) 5 oranges × 2$ = 10$

c) 2 oranges × 2$ = 4$

6 apples × 1$ = 6$ (4+6=10)

Answer:

Step-by-step explanation:

The problem scenario gives rise to two equations. One describes the total number of fruit. It is plotted in blue. The other describes the total cost. It is plotted in red.

The total number of fruit will be 8 at any blue dot. (It will not cost $10 if that dot is not also red.) One such total is (4 apples, 4 oranges)

__

The total cost will be $10 at any red dot. (The fruit count will not be 8 if that dot is not also blue.) One such cost is (4 apples, 3 oranges)

__

The cost for 8 pieces of fruit will be $10 where the blue and red dots are plotted at the same point: (6 apples, 2 oranges)

Answer:

yes the ratio is the same

Step-by-step explanation:

12/8 = 3/2 (divided the top and bottom by 4)

6/4 = 3/2 (divided the top and bottom by 2)

yes the ratio is the same

Answer:

To compare, first find out what the ratio of boys to students is at the beginning of the school year: 12/8 or, in the simplest form, 3/2.Once school resumes in January, that ratio becomes 18/12 - (12 + 6)/(8 + 4) - or 3/2 in simplest form.Therefore, the ratio is still the same.

Step-by-step explanation:

Note:-

Graph must not be drawn to scale so taken imaginary coordinates most near to accurate

So the cordinates are

Mark the change between x and y

So

the relationship is

Option C

Answer:

C.  [tex]y=x+200[/tex]

Step-by-step explanation:

Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.

All the given options for the line of best fit are linear equations.

Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above as below the line.

Linear equation:  [tex]y=mx+b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 200.  So this suggests that either option C or option D is the solution.

We can also see that slope (gradient) is approximately 1, as for every +100 increase in x, y increases by +100.

[tex]\textsf{slope = rate of change}=\sf\dfrac{change \ in \ y}{change \ in \ x}=\dfrac{100}{100}=1[/tex]

Therefore, this suggests that C is the solution and that the closest approximation to the line of best fit is [tex]y=x+200[/tex]

Answer:

Manny's Music Rental:  y = 40 + 25x

Sid's Saxophones:   y = 25 + 30x

Step-by-step explanation:

Let x = number of months

Let y = total cost of renting a saxophone

Manny's Music Rental:  y = 40 + 25x

Sid's Saxophones:   y = 25 + 30x

Answer:

You didnt show the table, not sure how to answer

Step-by-step explanation:

Answer:

3,500=3.5

500=0.5

75=0.075

1=0.001

x=x÷1000

Answer:

A

Step-by-step explanation:

W (- 4, 7 ) → W' (- 2, 4 )

- 4 → - 2 in the x- directions is a shift of + 2

7 → 4 in the y- direction is a shift of - 3

then translation rule should be

(x, y ) → (x + 2, y - 3 )