Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number.


The difference between three times a number and one more than two times the number.


What is the algebraic expression?


(Do not simplify)

Answer:

874

Step-by-step explanation:

The length of j from the given triangle JKL is 550 cm.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°.

Using cosine rule

j²=k²+l²-2kl.cosJ

j²=430²+590²-2×430×590·cos117°

j²=184900+348100-507400×0.4539

j²=533000-230308.86

j²=302691.14

j=√302691.14

j=550 cm

Therefore, the length of j from the given triangle JKL is 550 cm.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ2

Answer:

4.0 atm

Step-by-step explanation:

it looks to be a proportional ratio so for every meter pressure increases by .1 atm so if you add .8 to 3.2 you get 4 atm

Answer:

4

Step-by-step explanation:

To solve this you need the find the GCF or the greatest common factor.

To do this just look through the numbers to find the highest factor for all three.

For 8, 12, and 16 it would be 4.

4 goes into all of them and no number higher can do this

So your answer would be 4.

Answer:

1009

Step-by-step explanation:

0,25 x 2018 = 504,5

20,18 x 25 = 504,5

504,5 + 504,5 = 1009

Answer:

1,009

Step-by-step explanation:

[tex] \frac{25}{100} \times 2018 = 504.5[/tex]

[tex] \frac{2018}{100} \times 25 = 504.5[/tex]

[tex]504.5 + 504.5 = 1009[/tex]

hope it helps you ☺️

Answer:

C

Step-by-step explanation:

We want the equation of the line that passes through (3, 6) and is perpendicular to:

[tex]3x-4y=-2[/tex]

First, convert the second equation into slope-intercept form:

[tex]-4y=-3x-2\Rightarrow \displaystyle y=\frac{3}{4}x+\frac{1}{2}[/tex]

So, we can see that the slope of the line is 3/4.

The slopes of perpendicular lines are negative reciprocals of each other.

Therefore, the slope of the new line is -4/3.

It passes through the point (3, 6).

We can use the point-slope form:

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

Substitute:

[tex]\displaystyle y-(6)=-\frac{4}{3}(x-3)[/tex]

Distribute:

[tex]\displaystyle y-6=-\frac{4}{3}x+4[/tex]

Therefore:

[tex]\displaystyle y=-\frac{4}{3}x+10[/tex]

The answer is C.

The graph of a translated exponential function is shown below. Its parent function is y = 4x.?

The function has been translated down 3 units and right 2 units. The equation of the graphed function is

.. y = -3 +4^(x -2)

If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?

i don`t know the answer to this one tho,very sorry

Answer:

y = [tex]4^{x - 2}[/tex] - 3

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

In mathematics rational means "ratio like." so a rational number is one that can be written as the ratio of two integers. 1 3/23 can be converted into 26/23, which is a ratio, therefore, 1 3/23 is a rational number.

Hope this helps!

Answer: .81

Step-by-step explanation: divide 9 and 11

Answer:

The coefficient is -5, and the base is 12.

Step-by-step explanation:

The coefficient is the number that the variable is being multiplied by in an expression, so -5 would be the coefficient in the expression [tex]-5g_{12}[/tex]. The base would be the little subscript number that is next to the variable, so the base in the expression [tex]-5g_{12}[/tex] is 12.

Answer:

0.88 (I think this is how Mrs. Futch wants it to be written)

Step-by-step explanation:

h=-16t^2+14t

(Substitute h with 0)

0=-16t^2+14t

(Factor)

0=2t(-8t+7)

2t=0               -8t+7=0

t=0                  t=0.88

{0, 0.88}

Answer:

So everyone here in Mrs. Futch?

Step-by-step explanation:

Answer:

12m+8

12m+36-28

Answer:

41 ft 2 in

Step-by-step explanation:

Since the two triangles in question, that means that the triangles have the same proportions. We know that GH = 16 ft 7 in = 199 in (16x12+7) and HN = 6 ft 3 in = 75 in (6x12+3). GH/HN is 199/75. This is the same ratio that GO/AN will have as well. GO is unknown so we will denote it as x and AN = 15 ft 6 in = 186 in (15x12+6). We know that these two fractions are equal. 199/75 = x/186 solving for x, we get x = 493.52 in and converting that into feet we get 41 ft 1.52 in which rounds to 41 ft 2 in.

Answer:

y=-3x+7 i hope this helped

Answer: The correct answer is B.

Step-by-step explanation:

Answer:

(5,2)

Step-by-step explanation:

The midpoint of a line segment is calculated by finding the average of the x values and the average of the y values of the endpoints.

[tex]midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex] when the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug points F(2,2) and G(8,2) into the equation

[tex]midpoint=(\frac{2+8}{2},\frac{2+2}{2} )\\midpoint=(\frac{10}{2},\frac{4}{2} )\\midpoint=(5,2)[/tex]

Therefore, the midpoint of the line segment with endpoints F and G is (5,2).

I hope this helps!

Answer:

34.1546, 34.248, 39.637, 44.3421, 44.351

Step-by-step explanation:

Answer:  I'm doing this problem too, so the equation I used was y=4x+20.  Now we need to find how many minutes can Lexus skateboard in 2 1/2 miles.

Answer:

d

Step-by-step explanation:

Answer:

1.333

Step-by-step explanation:

if rounded then it's 0.333

if wrong I apologize

Answer:

25x-5

Step-by-step explanation:

Answer:

Hola

Step-by-step explanation:

Answer:

7.8

Step-by-step explanation:

Answer:

Leanne's hourly rate is $15 per hour

Step-by-step explanation:

Assuming a year is 52 weeks, divide $15,600/52 to find the $/week ($300). Then, divide $300/20 to find the $/hrs ($15)