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1 year ago

Simplify the following expression by combining like terms.

Mathematics

1 answer:

Nikitich [7]1 year ago

4 0

Answer:

5d² - 3d

Step-by-step explanation:

Given

4d² + d² - 2d - d ← collect like terms

= (4 + 1)d² + (- 2 - 1)d

= 5d² + (- 3)d

= 5d² - 3d

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Which answer is the best estimate of g based on rounding the constants and coefficients in the equation to the nearest integer?

vfiekz [6]

Best estimate when rounding...
4(g - 8) = 24
4g - 32 = 24
4g = 24 + 32
4g = 56
g = 56/4
g = 14 <===

3 0

2 years ago

The depth of a lake, dd, varies directly with rr, the amount of rainfall last month. if kk is the constant of variation, which e

Murrr4er [49]

Given that the depth varies directly with amount of rainfall, then we shall have:
let d be the depth and r be the rainfall amount
dαr
thus
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2 years ago

Solve the nonlinear system of equations. State the number of solutions.

WITCHER [35]

Answer:

Step-by-step explanation:

Hello,

Question 15

We can search x such that:

$x^2-4x+4=2x-5\\\\\text{*** subtract 2x-5 from both sides ***}\\ \\x^2-4x-2x+4+5=0\\ \\\text{*** simplify ***}\\ \\x^2-6x+9=0 \\ \\\text{*** we can notice a perfect square ***}\\ \\x^2 -2\cdot x \cdot 3 + 3^2=(x-3)^2=0\\\\\text{*** taking the root ***}\\\\x-3=0\\\\\large \boxed{\sf \ \ x=3 \ \ }$

There is 1 solution.

Question 16

Again, we search x such that:

$x^2-8x+15=2x-6\\\\\text{*** subtract 2x-6 from both sides ***}\\\\x^2-8x-2x+15+6=0\\\\\text{*** simplify ***}\\\\x^2-10x+21=0 \\ \\\text{*** we are looking for two roots where the sum is 10 and the product is 21 = 7 x 3 ***} \\\\x^2-7x-3x+21=x(x-7)-3(x-7)=(x-3)(x-7)=0\\\\\large \boxed{\sf \ \ x= 3 \ or \ x =7 \ \ }$ There are two solutions.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0

2 years ago

I really need help with number 1

Sedaia [141]

3/4 / 2/1
Keep, Change, Flip
3/4 * 1/2 = 3/8

5/4 / 2/1
Keep, Change, Flip

5/4 * 1/2 = 5/8

Answer: 3/8 and 5/8

6 0

2 years ago

Apply the distributive property to factor out the greatest common factor.<br> 35 + 14 =

natka813 [3]

Answer:

2(5+2)

Step-by-step explanation:

The greatest common factor would be 7. So now 35/7 is 5 and 14/7 is 2. Now put it in distributive property! GCF on the outside and the new numbers we just got in the inside. There's your answer! Have a great day! :)

3 0

2 years ago