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mezya [45]
3 years ago
8

Help with 7 & 8 please

Mathematics
1 answer:
NISA [10]3 years ago
6 0
8 continuous? Or a straight line
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Is 1 2/6 an irrational number
FrozenT [24]

Answer:yes

Step-by-step explanation:

7 0
3 years ago
Write a polynomial function, p(x) with degree 3 that has p(7)=0
MArishka [77]

Answer:

p (x) = x^{3} - 21x^{2}+ 147x - 343

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}

Take a = x

        b = 7

Substitute in the identity we get

(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.

p ( 7 ) = 7³ - 21×7² + 147×7 - 7³

p ( 7 ) = 0

p (x) = x^{3} - 21x^{2}+ 147x - 343

4 0
4 years ago
Write an expression that is the product of TWO factors and is EQUIVALENT to<br>-2x - 10.​
katrin [286]

Answer:

-2(x+5) is equivalent to -2x-10

7 0
3 years ago
Evan enjoys eating fresh fruits and vegetables. This
Arlecino [84]

Answer:

2304 \ in^3

Step-by-step explanation:

Given the surface dimensions of the garden as 24 inches by 48 inches:

#Calculate surface area of the garden's top:

A=lw\\\\=48\times 24\\\\=1152 in^2

Given the soil's thickness is 2 Inches, we multiply this thickness by the garden's surface area to get volume of soil used:

V=tA, t-thickness, A=Area=1152 \ in^2\\\\=2 \ in \times 1152\ in^2\\\\=2304 \ in^3

Hence, the amount of soil used is 2304 cubic inches.

4 0
3 years ago
Todd has 2 frogs. This is 1/3 the number of frogs that Heather has. How many frogs does Heather have?
Murljashka [212]
2=1/3H
H=2*3
Heather has 6 frogs
5 0
4 years ago
Read 2 more answers
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