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vaieri [72.5K]
2 years ago
5

Rewrite in simplest terms: -2(5d-9f)+7f-10(-9f-7d)

Mathematics
1 answer:
Afina-wow [57]2 years ago
4 0

Answer:

= 5 ( 12d + 23f )

Step-by-step explanation:

-2(5d-9f)+7f-10(-9f-7d

Open parenthesis

= -10d + 18f + 7f + 90f + 70d

Collect like terms

= -10d + 70d + 18f + 7f + 90f

= 60d + 115f

Factorise

= 5 ( 12d + 23f )

Therefore,

-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )

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ella [17]

Answer:

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Step-by-step explanation:

A negative slope makes the line face leftward so that leaves a and b.

4 0
3 years ago
Read 2 more answers
The expression 9x2 - 5x - 7 has ___ terms and a constant of ___.
elena55 [62]
Answer: first option 3, - 7

Justification:

1) Given expression:9x² - 5x - 7

2) Each monomial is a term.

The monomials are each  combination of numbers and letters (coefficient, letters and exponents) separated of other monomials (terms) with a + or - operator.

3) Therefore, there are 3 terms which are:

9x²,
-5x, and
-7.

The polynomials with 3 terms are called monomials.

4) The monomial (term) withoud letter is the constant. In this case that is  -7.
4 0
3 years ago
The nth term of a sequence is 2n2 + 1 The nth term of a different sequence is 65 - 2n2. Show that there is only 1 number that is
HACTEHA [7]

Answer:

The only common term is 33.

Step-by-step explanation:

We are given the following in the question:

Sequence 1:

n^{th}\text{ term: } 2n^2 + 1

Sequence 2:

n^{th}\text{ term: } 65 - 2n^2

Equating the two terms, we get,

2n^2 + 1 = 65 - 2n^2\\4n^2 = 64\\\\n^2 = \dfrac{64}{4}\\\\n^2 = 16\\n = \pm 4

Since, n cannot take a negative value, we get n = 4.

Thus, there is only 1 common term both the series have for n = 4.

Common term:

2(4)^2+ 1 - 65-2(4)^2 = 33

Thus, the only common term is 33.

8 0
3 years ago
How many solutions does 5x-y=2 5x-y=-2 have?
alekssr [168]

Answer:

No Solution.

Step-by-step explanation:

5x-y=2

5x-y=-2

-------------

-(5x-y)=-2

5x-y=-2

----------------

-5x+y=-2

5x-y=-2

-------------

0=-4

no solution

7 0
3 years ago
the ratio of keiths age to Jared's ages 3 to 5 if Keith is 24 years old how old is Jared please show how many you got this answe
pishuonlain [190]
Comment
You need to set up a direct proportion. You have to relate Keith and Jared's ages to the ratio you were given.

Givens
Keith is 24
Keith / Jared = 3/5
J = Jared 

Solution
3/5 = 24 / J Cross multiply
3*J = 5 * 24 Combine factors on the right.
3J = 120     Divide by 3
J = 120 / 3
J = 40

Conclusion
Jared is 40 years old.
4 0
2 years ago
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