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2 years ago

"Four times the difference of a number and seven is at least -52."

1 answer:

7 0

Remember ‘difference’ refers to subtraction, so they are looking for the ‘difference’ of a a number, which is unknown, so we can use the variable ‘x.’ X-7

The term ‘at least’ refers to our greater than, less than, equal to signs

Difference of a number and 7 = x-7
Four times = (4) or •4
At least = <
-52 = Answer negative 52
Plug them all in,

x-7(4)<-52

You might be interested in

Which systems of equations intersect at point A in this graph?

abruzzese [7]

Answer:

The point of intersection of the system of equations is:

(x, y) = (-2, 1)

The correct system of equations intersect at point A in this graph will be:

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Thus, the second option is correct.

Step-by-step explanation:

Given the point

A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Arrange equation variable for elimination

$\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}$

$y+3x=-5$

$-$

$\underline{y-4x=9}$

$7x=-14$

so the system of equations becomes

$\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}$

Solve 7x = -14 for x

$7x=-14$

Divide both sides by 7

$\frac{7x}{7}=\frac{-14}{7}$

Simplify

$x = -2$

For y - 4x = 9 plug in x = 2

$y-4\left(-2\right)=9$

$y+4\cdot \:2=9$

$y+8=9$

Subtract 8 from both sides

$y+8-8=9-8$

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) = (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Thus, the second option is correct.

3 0

2 years ago

Anyone help please....

MissTica

mean= 4.1

median= 1,2,3,4,5,6

mode= 6

Step-by-step explanation:

4 0

3 years ago

Assuming Earth to be a sphere of radius 4000 miles, how many miles north of the Equator is City A, if it is 36° north from the E

vredina [299]

Answer:

2513 miles

Explanation:

$\sf Length \ of \ arc = \dfrac{\theta}{360} * 2\pi r$

Here given:

∅ = 36°

radius = 4000 miles

Insert following:

$\sf \rightarrow \dfrac{36}{360} * 2\pi (4000)$

$\sf \rightarrow 800\pi \ \ \ (in \ terms \ of \ \pi )$

$\sf \rightarrow 2513.3 \ \ (rounded \ to \ nearest \ tenth)$

$\sf \rightarrow 2513 \ \ (rounded \ to \ nearest \ mile)$

5 0

1 year ago

The dry cleaning fee for 3 pairs of pants is 18 what is the equation

lesya692 [45]

Answer:

3x = 18

x = 6

Step-by-step explanation:

Let's assume x is the variable. There are 3 pairs of pants, hence the 3. The total fee is 18, hence the 18.

7 0

2 years ago

22-28d = - 12 ??? geometry is hard

yarga [219]

There's not much you can or should do here other than to "solve for d."

Subtract 22 from both sides. Then 22 - 22 - 28d = -12 - 22 = -34

Then -28d = -34, and d = -28 / (-34) = + 14/17 (answer)

3 0

2 years ago