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Darina [25.2K]
3 years ago
12

Which factorization is equivalent to 6x squared + 7x - 10?

Mathematics
1 answer:
love history [14]3 years ago
5 0
We want to factorize 6x² + 7x - 10

Note that
6x² = x * 6x  or 3x * 2x
10 = 2 * 5     or  1 * 10
We can obtain 7x as (6x)*(2) - (x)*(5) = 12x - 5x = 7x.

Therefore
6x² + 7x - 10 = (6x - 5)(x + 2)

Answer: (6x - 5)(x + 2)

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Nancy and Kevin collect coins. Nancy has x coins. Kevin has 9 coins fewer than five times the number of coins Nancy has. Write a
Alexus [3.1K]

Answer:

x + (5x-9)

Step-by-step explanation:

x stands for the number of coins Nancy has

Kevin has 9 less than 5 times what Nancy has, so his part of the expression is 5x-9

To find the total number of coins they have, you have to add Nancy's number of coins x plus Kevin's number of coins 5x-9

x + (5x-9)

But you have to put parentheses around Kevin's 5x-9 so that part of the expression is calculated first, as per order of operations

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2 years ago
What is the answer to 6(-3-4y) simplifying algebraic expressions
alukav5142 [94]
6(-3-4y)
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(Multiply 6 by both numbers)
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3 years ago
Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is t
Ksju [112]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The equation representing the given statement is ~

  • 50x + 330 \geqslant 820

The least number of lawns that he can cut and buy the computer is 10 lawns ~

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

  • total number of lawns cut × $50

  • 50x

total savings is equal to ~

  • 330 + 50x

hence,

  • 50x + 330 \geqslant 820

by solving for " x (number of lawns cut) " we get ~

  • 50x  \geqslant 820 - 330

  • 50x \geqslant 490

  • x  \geqslant 490 \div 50

  • x \geqslant 9.8

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

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2 years ago
Can anyone do these two<br> a)√3(√3-1)<br> b)√5(√10+√2)
gogolik [260]
A 1.267949192
b 10.23334547
7 0
3 years ago
The equation for a circle with center (h, k) is (x - h)^2 + (y - k)^2 = r^2. If a circle is modeled by the equation x^2 + (y + 6
Ronch [10]

(x - h)^2 + (y - k)^2 = r^2

x^2 + (y + 6)^2 = 100

we can rewrite this as

(x-0)^2 + (y - -6)^2 = 10^2

the center is (0,-6) and the radius is 10

5 0
3 years ago
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