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2 years ago

Factor. 7f ^3–14f^2–8f+16

Mathematics

1 answer:

dsp732 years ago

3 0

Answer:

(−2)(7^2−8)

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

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5/8y-12= -7 im stuck 9th grade math

Galina-37 [17]

Answer:

Step-by-step explanation:

$\frac{5}{8}y-12=-7 \\ \\ \frac{5}{8}y=5 \\ \\ y=8$

3 0

1 year ago

A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making

Archy [21]

Answer:

The equation to find the profit made by business combined is $x+4x = 10$ .

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by business A be 'x'.

Let the profit (in millions) made by business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

so we can say that;

$y =4x$

Now we know that;

Profit made in previous financial year is equal to sum of profit (in millions) made by business A and profit (in millions) made by business B.

framing in equation form we get;

$x+y =10\ million$

Substituting the value of y in above equation we get;

$x+4x = 10$

Hence The equation to find the profit made by business combined is $x+4x = 10$ .

On Solving above equation we get;

$5x =10\\\\x =\frac{10}{5} = \$2 \ million$

profit (in millions) made by business A = $\$2 \ million$

profit (in millions) made by business B = $4x =4\times 2 =\$8 \ million$

Hence Business A made $2 million profit and Business B made $8 million profit.

8 0

3 years ago

Jim began a 165 mile bicycle trip to build up stamina for a triathlete competition unfortunately his bike chain broke so he fini

denpristay [2]

Answer: Approximately 4.7 hours.

Step-by-step explanation:

He rode the bicycle for some time before it broke down and he walked the remaining distance. This means that Jim covered a total of 165 miles by riding at a speed of 35 miles per hour and walking at a speed of 3 miles per hour.

Let x = the distance covered by riding the bicycle.

Let y = the distance covered by walking.

Time = distance /speed

Time he used in riding would be x/35

Time he used in walking would be y/3

Since the entire trip took 7 hours,

x/35 + y/3 = 7

3x + 35y = 735 - - - - - - - - 1

Total miles covered is 165. Therefore,

x + y = 165 - - - - - - - - -- - -2

Substituting x = 165-y into equation 1, it becomes

3(165-y) + 35y = 735

495-3y + 35y = 735

-3y + 135y = 735-495

132y = 240

y = 240/132

y = 1.81m

x = 165 - 1.81 = 163.19

Amount of time that he spent on the bicycle will be

x/35 = 163.19/35

= 4.66

Approximately 4.7 hours.

7 0

3 years ago

Can someone please help me? I don't understand how to solve this.

Scilla [17]

Answer:

(5, 15)

Step-by-step explanation:

The problem statement tells you how to solve it. You are expected to know what the midpoint formula is.

You are given that (x, y) is the unknown end point. If (Mx, My) is the midpoint, and (x1, y1) is one end point, the midpoint formula tells you ...

Mx = (x1 +x)/2

My = (y1 +y)/2

Solving these equations for x and y, you get ...

2Mx = x1 +x

x = 2Mx -x1

Similarly, ...

2My = y1 +y

y = 2My -y1

Filling in the given coordinates, this becomes ...

x = 2(-2) -(-9) = -4 +9 = 5

y = 2(7) -(-1) = 14 +1 = 15

The other endpoint is (5, 15).

_____

Additional comment

I like to write the midpoint formula for points A and B as ...

M = (A +B)/2

where A and B each represent an ordered pair (or triple, in 3 dimensions). The arithmetic is done element-by-element on the ordered pairs, so this formula is equivalent to the one above.

If you solve it for B, you get ...

B = 2M - A . . . . the other endpoint given the midpoint and one endpoint

This might be a formula you want to add to your list of useful formulas in Algebra.

3 0

2 years ago

Find the area of the figure.

konstantin123 [22]

Answer:

132

Explanation:

All you need to do is separately find the area of the shapes that are part of the figure (in this case the trapezoid and rectangle), and then add them all up.

1.(7x4) + (1/2x8[7+19])

2. 28 + 104

3. 132

~Hope this helps you~

4 0

3 years ago