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Elanso [62]
3 years ago
10

Mrs.smith wrote “eight less than three times a number is greater than fifteen” on the board. If x represents the number, which i

nequality is a correct translation of this statement?
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0

3x - 8 > 15
8 less than= -8
3 times a number x= 3x
is GREATER than 15 :)
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Ten thousand times the sum of a number and seven hundred​
Vera_Pavlovna [14]

Let x be the unknown number.

The sum of x and seven hundred is x+700

Ten thousand times this sum is 10000(x+700)

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3 years ago
Write the equation of the line that passes through (−2, 6) and (2, 14) in slope-intercept form.
MakcuM [25]
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

The first step is to find the slope using the provided coordinates (-2, 6) and (2, 14). We can do that using the y1 - y2 / x1 - x2, like so:

6 - 14 / -2 - 2
-8 / -4
2

The slope is two, so we immediately know the answer is either A or B.

Now, plot the two points on graphing paper and determine where the line intersects the y-axis to find the y-intercept...

My graph shows the line intersecting the y-axis at 10, therefore the correct answer is:
y = 2x + 10
5 0
3 years ago
Quadratic shifted left by<br> 1 unit vertical stretch by a<br> factor of 1.
Aleksandr [31]

Answer:

1(x+1)^2

Step-by-step explanation:

8 0
3 years ago
The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60
coldgirl [10]
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000
X=y-15,000/1.5

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:

G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000

dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation
5 0
3 years ago
chef leo will use a total of 6 1/4 cups of sugar to make 3 chocolate cakes. if each cake recipe requires the same amount of suga
Feliz [49]

a. because to divide 6 1/4 and 3 you need to make the improper fraction a mixed number so the equation is 25/4  /  3/1  then you get the recipricol of 3 witch is 1/3 then you multiply 1/3 x 25/4  whitch is 25/12=2 1/12

7 0
3 years ago
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