All categories

3 years ago

Can someone explain how these equal 5 and -5 please

Mathematics

1 answer:

uysha [10]3 years ago

6 0

I'm not sure how you obtained -5 as your answer but this is the mathematical explanation. hope this helps!
${x}^{2} + 3x = 40 \\ {x}^{2} + 3x - 40 = 0 \\(x + 8)(x - 5) = 0 \\ x = - 8 \\ x = 5$

You might be interested in

At a perfume factory, fragrance designers are making Green Blossom perfume by mixing New Grass fragrance with 3/4 times as much

sveta [45]

You would have to find this out by multiplying the reciprocal of 3/4 which is 4/3 to 3/4 and one to get your answer that is 1

7 0

2 years ago

Andrea Is selling candles as a fundraiser she spent $50 on supplies for making the candles she plans to sell candles for $10 eac

dalvyx [7]

COMPLETE QUESTION:

Andrea is selling candles as a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the candles for $10 each. Her profit can be modeled by C(x) = 10x - 50.

What type of function is this?

What is the domain and range of the function?

Answer:

- This function is one-to-one

- Domain D = {x: x is a whole number ≤ Z}

- Range R = {y: y is in -50, ..., (10Z - 50)}

Where Z is the number of candles she could produce with $50.

Step-by-step explanation:

Given that her profit is modeled by C(x) = 10x - 50

- This function is one-to-one, because it is in the form f(x) = y.

Let the number of candles she could make with $50 be Z.

Then the domain is the set of all whole numbers less or equal to Z.

D = {x: x is a whole number ≤ Z}

If there are infinite number of candles she could make with that money, then

D = (-infinity, infinity)

When x = 0, we have C = -50

When x = Z, we have C = 10Z - 50

The range is then given as

R = whole numbers from -50 up to (10Z - 50)

R = {y: y is in (50 -Z), ..., (10Z - 50)}

If there are infinite number of candles she could make with that money, then

R = (-infinity, infinity)

6 0

2 years ago

8(1/2n+3/4)=70 solve for n

nasty-shy [4]

Answer:

n = 16

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the power of x? <br> A) 2 <br> B) 3 <br> C) 6 <br> D) 7

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

They are basically wanting the value of x.

These are 2 secant lines drawn. Secant Line is a line that intersects the circle at 2 points.

To solve this, we have to use secant-secant theorem.

Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.

In algebra, that is:

$(x+1)(x+1+11)=(x+4)(x+4+1)$

Let's multiply and find the value of x:

$(x+1)(x+1+11)=(x+4)(x+4+1)\\(x+1)(x+12)=(x+4)(x+5)\\x^2 + 13x + 12=x^2+9x+20\\13x+12=9x+20\\13x - 9x = 20 - 12\\4x = 8\\x = 2$

Hence, the correct answer choice is A

8 0

3 years ago

The circumference of super eight is four times the conference at Circle B which statement about the areas of the circle is true

ICE Princess25 [194]

When you have factors in shapes you must remember:
circumference and perimeter are in one unit measures
area is in squared units
volume is in cubed units

So, when the circumference of A is 4 times that of C there is a factor of 4.
Since we need to know the area the factor 4 will change to a factor of 4² since area is a squared unit.

The solution is 4²=16, the are of circle A is sixteen times the area of circle B.

4 0

2 years ago