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sineoko [7]
3 years ago
10

Which is the constant term of the algebraic expression -2x^2+17-15x+7xy?

Mathematics
2 answers:
bulgar [2K]3 years ago
3 0
17 because a constant term a quantity having a fixed value that does not. change or vary, such as a number.
yarga [219]3 years ago
3 0
Yes it’s 17 because the rest have x, or y
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A gardener wants to create a rectangular vegetable garden in a backyard. She wants it to have a total area of 120 square feet, a
erastova [34]
Comment
This is an area problem. The key words are 120 square feet and 12 feet longer.
And of course width is a key word when you are reading this.

Formula
Area = L * W

Givens
W = W
L = W + 12

Substitute and Solve
Area = L* W
120 = W*(W + 12)
W^2 + 12W = 120 square feet
w^2 + 12w - 120 = 0

This does not factor easily. I would have thought that a graph might help but not if the dimension has to be to the nearest 1/100 of a foot. The only thing we can do is use the quadratic formula.

a = 1
b = 12
c = - 120

w = [ -b +/- sqrt(b^2 - 4ac) ]/(2a)
w = [-12 +/- sqrt(12^2 - 4*(1)(-120)] / 2*1
w = [-12 +/- sqrt(144 - (-480)]/2
w = [-12 +/- sqrt(624)] / 2
w = [- 12 +/- 24.979992] / 2 The minus root has no meaning whatever.
w = (12.979992) / 2
w = 6.489995 I'll round all this when I get done

L = w + 12
L = 6.489995 + 12
L = 18.489995

check
Area = L * W
Area = 6.489995*18.489995
Area = 119.999935 The difference is a rounding error

Answer
L = 18.489995 = 18.49 feet
W = 6.489995 = 6.49 feet

Note: in the check if you round first to the answer, LW = 120.0001 when you find the area for the check. Kind of strange how that nearest 1/100th makes a difference.
5 0
3 years ago
Please help me<br> How many solutions does the equation<br> 1-(6x - 4) = 3(1 – x) have?
AnnZ [28]

Answer: one solution

this is all i know

3 0
3 years ago
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Elodia [21]
a_1=891\\&#10;a_n=\dfrac{a_{n-1}}{3}
7 0
3 years ago
How do I answer this Question? It’s phythagoras theorem!
zhuklara [117]

Answer:

C = 11.18       D= 20

Step-by-step explanation:

Let's start with C

Square root both areas of the squares

\sqrt{25} =5

\sqrt{100}=10

Then use the Pythagoras Theorem: a^{2} +b^{2} =c^{2}

10^{2} +5^{2} =125

\sqrt{125} =11.18033989 = C

Moving on to D

Square root both areas of the squares

\sqrt{841} =29

\sqrt{441} =21

29 is the hypotenuse, we are trying to find the other leg, so:

29^{2} -21^{2} =400

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8 0
3 years ago
Katie has a collection of nickels dimes and quarters with a total value of $4.20 there are 7 more dimes than nickels and six mor
Aneli [31]
Katie, Let the number of nickles = N Since there are 7 more dimes than nickles, the number of dimes D = N + 7 Since there are 4 more quarters than nickles, the number of quarters Q = N + 4 Since quarters = $0.25, dimes = $0.10, and nickles = $0.05 and all added together = $4.90 ⇒  0.25·Q + 0.10·D + 0.05·N = 4.90 Now multiply through by 100 to eliminate the decimal: 25Q + 10D + 5N = 490 Substitute for Q and D 25(N+4) + 10(N+7) + 5N = 490 25N + 10N + 5N +100 +70 = 490 40N + 170 = 490 ⇒ 40N = 320 ⇒ N = 320/40 N = 8, D = N+7 = 15 Q = N+4 = 12 Check: 25(12) + 10(15) + 5(8) = 300 + 150 + 40 = 490
7 0
3 years ago
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