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Dvinal [7]
2 years ago
10

Please show work and solve using formulas

Mathematics
1 answer:
Gala2k [10]2 years ago
4 0

Answer:

Step-by-step explanation:

well i will try my best with this one. So the formula for volume is length x with x height. So  the answer for #1 would be 3 . 5= 15, 15 + 6 = 21. so your answer for #1 would be 21 i think. I will let someone else do #2

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Show that the function has at least one zero between x=1 and x=2
ANTONII [103]

Answer:

See Below.

Step-by-step explanation:

We are given the function:

\displaystyle f(x) = 7x^5-9x^4-x^2

And we want to show that it has at least one zero between <em>x</em> = 1 and <em>x</em> = 2.

Because the function is a polynomial, it is everywhere continuous.

Evaluate the function at <em>x</em> = 1 and <em>x</em> = 2:

\displaystyle \begin{aligned} f(1) & = 7(1)^5 - 9(1)^4 - (1)^2 \\ \\ & = -3\end{aligned}

And:

\displaystyle \begin{aligned} f(2) & = 7(2)^5 - 9(2)^4 - (2)^2 \\ \\ & = 76 \end{aligned}

Therefore, because the function changes signs from <em>x</em> = 1 to <em>x</em> = 2 and is continuous on the interval [1, 2], by the intermediate value theorem, there must exist at least one zero in the interval.

7 0
2 years ago
Use the quadratic formula to solve the equation. -2x^2-x+7=0.
Furkat [3]
<span>-2x^2-x+7=0  
Variable with the highest degree's (exponent) constant, -2 is a, next variable's constant, -1 is b, the constant or number without a variable, 7 is c

using substitution put the numbers into the formula
</span>(-b±√(b^(2)-4ac))/(a^(2))

(-(-1)±√((-1)^(2)-4(-2)(7))/((-2)^(2)) simplify 

(1±√(1+56))/4

1±√(57)/4 is your answer
8 0
3 years ago
Paul has a number of counters two less than seven
valentinak56 [21]
The answer is 5 cause two less then 7 is 5.

4 0
3 years ago
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MaRussiya [10]

I have solved the answer in the pic below, hope it helpss!!!!

8 0
3 years ago
Select the words that mean the same as the Y-intercept. Select all that apply
d1i1m1o1n [39]

Answer:

i think its slope and initial value, so sorry if its wrong

Step-by-step explanation:

3 0
3 years ago
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