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Serggg [28]
3 years ago
5

Consider the tables.

Mathematics
1 answer:
777dan777 [17]3 years ago
5 0

Answer:

Table C

Step-by-step explanation:

The input and output values represent a cubic function because you find the 3rd differences between the outputs and they are both -640

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The base of a triangle is 3 more than 2 times of height. Determine the dimensions that give total area of 10 square feet.
Alona [7]

Answer:

height = 2.5 ft , base = 8 ft

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

height = h then base = 2h + 3 and A = 10 , then

\frac{1}{2} h(h + 3) = 10 ( multiply both sides by 2 to clear the fraction )

h(h + 3) = 20 , that is

h² + 3h = 20 ( subtract 20 from both sides )

h² + 3h - 20 = 0 ← in standard form

(h + 4)(2h - 5) = 0 ← in factored form

equate each factor to zero and solve for h

h + 4 = 0 ⇒ h = - 4

2h - 5 = 0 ⇒ 2h = 5 ⇒ h = 2.5

but h > 0 , then h = 2.5

and 2h + 3 = 2(2.5) + 3 = 5 + 3 = 8

that is height = 2.5 ft and base = 8 ft

3 0
1 year ago
Explain, using complete sentences, the Transitive Property of Equality in geometric terms.
MariettaO [177]

Answer:

Transitive Property of Equality. The following property: If a = b and b = c, then a = c. One of the equivalence properties of equality. Note: This is a property of equality and inequalities. (Click here for the full version of the transitive property of inequalities.)

<h2>Please mark me as brainlyist quick</h2>

6 0
3 years ago
The gradiant y=2x³-5x+1 at point (2,7)​
olga2289 [7]

Given:

The equation of the curve is:

y=2x^3-5x+1

To find:

The gradient (slope) of the given curve at point (2,7).

Solution:

We have,

y=2x^3-5x+1

Differentiate the given equation with respect to x.

y=2(3x^2)-5(1)+(0)

y'=6x^2-5

Now we need to find the value of this derivative at (2,7).

y'_{(2,7)}=6(2)^2-5

y'_{(2,7)}=6(4)-5

y'_{(2,7)}=24-5

y'_{(2,7)}=19

Therefore, the gradient (slope) of the given curve at point (2,7) is 19.

8 0
2 years ago
A prism is completely filled with 2304 cubes that have edge length of 14 cm
boyakko [2]
2304cubes(14^3 cm^3/cube)=6322176 cm^3
4 0
3 years ago
Read 2 more answers
One-fifth of a number x is less than 8. Find the greatest possible prime number x.
GuDViN [60]
Hello there, I am unable to use the “less than” symbol. Sorry :( .

1/5x "less than" 8
x “Less than” 40

Prime number is 37,41.
Therefore x is 37.
8 0
2 years ago
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