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larisa86 [58]
3 years ago
7

SERIOUS MATH HELP PLEAZE SHOW WORK OR AN EXPLANATION HELPPPPPPPPPPPP

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0

Answer:

(X+8)(x-10

Step-by-step explanation:

The middle number is -2 and the last number is -80.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -2

Multiply together to get -80Try 8 and -10:

8+-10 = -2

8*-10 = -80

Fill in the blanks in

(x+_)(x+_)

with 8 and -10 to get...

(x+8)(x-10)

You might be interested in
State the restrictions on the range for y=x^4+8x^3+k
sveticcg [70]
Answer: The range is y \ge k-432

The way to get this answer isn't completely obvious. What I did first was graph the function using GeoGebra allowing k to be a parameter. With k as a sliding parameter, the graph was able to be slid up and down the screen. The basic shape of the curve is a distorted W shape. The lowest point being the local minimum. Which is where the lower endpoint of the range would be.

Using the derivative, we can get
y = x^4 + 8x^3 + k
dy/dx = 4x^3 + 24x^2
set dy/dx equal to zero and solve for x
dy/dx = 0
4x^3 + 24x^2 = 0
4x^2(x + 6) = 0
4x^2 = 0 or x+6 = 0
x = 0 or x = -6

It turns out that x = 0 is a saddle point so we can ignore this value. Only x = -6 is where the local min is at. Plug this back into the original function

y = x^4+8x^3+k
y = (-6)^4+8(-6)^3+k
y = -432+k
y = k - 432

So when the input is x = -6, the output is k - 432 for some value k
In other words, the smallest y can get is k - 432. Otherwise it will be larger than this value

So that's why the range is y \ge k - 432

Note: if this calculus approach doesn't make much sense, then you can try various k values and use a calculator to find the lowest point. Making a table of k values with the corresponding lowest point would hopefully point you in the right direction. 
3 0
3 years ago
0.25k+1.5-k-3.50.25k+1.5−k−3.5
BARSIC [14]

Answer:

-0.75k - 2.0

Step-by-step explanation:

0.25k + 1.5 − k − 3.5

Combining like terms with rational coefficients

0.25k + 1.5 - k - 3.5

Collect like terms with rational coefficients

=0.25k - k + 1.5 - 3.5

= -0.75k - 2.0

Answer equals negative zero Point seven five k minus two point zero

7 0
3 years ago
What is the height of this triangle between C and D
Rom4ik [11]

Answer:

12 units

Step-by-step explanation:

To find any side length of a right triangle given two side lengths, you would use the pythagorean theorem which is a² + b² = c². In this equation, a and b represents either the height of base of the triangle, and c represents the  hypotenuse of the triangle (the diagonal line - in your question it is 13). By plugging in the base and  hypotenuse, you get the equation of 5² + b² = 13². 5² is equal to 25 and 13² is equal to 169, so the equation is 25 + b² = 169. Subtract 25 for both sides of the equation and you find that b² = 144. Square both sides and the missing length is 12 because √144 = 12.

8 0
3 years ago
in a classroom 5/8 of the students are wearing blue shirts and 1/4 for wearing white shirts there are 24 students in the classro
Oliga [24]

Answer:

  3

Step-by-step explanation:

Those wearing a shirt of another color are ...

  1 - 5/8 -1/4 = 8/8 -5/8 -2/8 = 1/8

of the total number of students in the classroom

  (1/8)×(24 students) = 3 students . . . . wearing another color

_____

<em>Alternate solution</em>

With the given information, you know ...

  (5/8)(24) = 15 . . . students wear blue

  (1/4)(24) = 6 . . . . students wear white

  24 -15 -6 = 3 . . . students wear another color

6 0
3 years ago
A baseball player made six hits in nine innings. What is the ratio of hits to innings?
UNO [17]
A baseball player made six hits in nine innings.

Therefore, his ratio of hits to innings, which means his number of hits relative to the number of innings, is 6:9.

However, this isn't simplified.  To simplify a ratio, we must find the GCF (Greatest Common Factor) of the two terms.

The GCF of 6 and 9 is 3, thus, we divide both of the terms by 3 to get our simplified answer.

6:9 = 6/3 : 9/3 = 2:3

Your answer is that the ratio of hits to innings for the baseball player is 2:3.  (This can also be expressed as 2/3 or 2 to 3.)

Hope this helps! :)

4 0
3 years ago
Read 2 more answers
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