All categories

3 years ago

the difference of two positive numbers is 8. the larger is twice the smaller decreased by 7. find the two numbers

1 answer:

8 0

Find the two numbers. Algebra -> Customizable Word Problem Solvers -> Numbers -> SOLUTION: The difference of two positive numbers is 8. The larger is twice the smaller decreased by 7.

You might be interested in

A lawyer drives from her home, located 2 miles east and 3 miles north of the town courthouse, to her office, located 5 miles

LekaFEV [45]

Let the town courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).

Use the distance formula $d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ to get the distance between lawyer's home and office:

 $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}=\sqrt{(-2-5)^2+(3-(-21))^2}=$
$=\sqrt{7^2+24^2} = \sqrt{49+576} = \sqrt{625} =25$ .
Answer: 25 miles.

7 0

3 years ago

Gabrielle drilled a hole 5/9 inch wide. She has a screw that is 5/6 inch wide. Is the hole wide enough to fit the screw? Explain

zlopas [31]

5/9 times 2 = 10/18

AND

5/6 times 3 = 15/18

15/18 is bigger SO

THE HOLE IS TO NOT BIG ENOUGH FOR THE SCREW.

4 0

3 years ago

Choose the graph which matches the function. (2 points) f(x) = 3x-4

vovangra [49]

The last image is the graph of $y = 3^x$

In fact, it is an increasing exponential function, and it passes through the points $(0,1)$ , which reflects the fact that $3^0=1$ and $(1,3)$ , which reflects the fact that $3^1=3$ .

Now, $y = 3^{x-4}$ is a child of the parent function we just described. Precisely, it is the result of the transformation $f(x) \to f(x-4)$

In general, every time you perform a transformation like $f(x) \to f(x+k)$ , you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.

Since in this case $k = - 4$ , we have a horizontal translation of 4 units to the right.

So, the correct option is the third one, because:

The first graph is the parent function translated 4 units to the left
The second graph is the parent function translated 4 units down
The third graph is the parent function translated 4 units to the right
The fourth graph is the parent function

5 0

2 years ago

How do you write in slope intercept with only the rate of change and one point. Like rate of change is -5 and the point is (3,0)

Simora [160]

Answer:

A linear equation in the slope-intercept form is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Now, we know that the rate of change (the slope) is -5

Then we just replace a by -5

y = -5*x + b

Now we also know that this line passes through a point, and the point is (3, 0)

This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.

Replacing these values in our equation we get:

0 = -5*3 + b

0 = -15 + b

15 = b

Now we know the value of b, so we can replace it in the line equation to get:

y = -5*a + 15

Which is the complete equation of the line.

5 0

2 years ago

What is the answer to 3/5 x 10/21 in simplest form???

jeka94

6/21 I think cause you can't go down any more

3 0

3 years ago

Read 2 more answers