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3 years ago

Find two consecutive integers whose sum is 67.

1 answer:

3 0

Let the smaller integer be x.
The next larger consecutive integer is 1 more than x, so it's x + 1.

x + x + 1 = 67

2x + 1 = 67

Answer is option B.

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What is the price of 0.75 m of fabric if the meter costs 31,500

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Look up what is 75% of 31,500

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3 years ago

If x+1 and x-1 are the factors of the polynomial ax^3 + x^2 - 2x +b,find the values of a and b

Nadusha1986 [10]

The polynomial remainder theorem says that dividing a polynomial $p(x)$ by $x-c$ leaves a remainder of $p(c)=0$ if $x-c$ is a factor of $p(x)$ . In this case, check $c=-1$ and $c=1$ .

$a(-1)^3+(-1)^2-2(-1)+b=-a+b+3=0$

$a(1)^3+(1)^2-2(1)+b=a+b-1=0$

From the first equation,

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and substituting into the second gives

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3 0

3 years ago

Could someone please help me?

elena-14-01-66 [18.8K]

Answer:

(-6,0),(-5,-1),(-1,-2)

6 0

3 years ago

6x + 5y = 147 8x + 4y = 156

satela [25.4K]

Answer:

[12, 15]

Step-by-step explanation:

{6x + 5y = 147

{8x + 4y = 156

-¾[8x + 4y = 156]

{6x + 5y = 147

{-6x - 3y = -117 ← New Equation

________________

2y = 30

___ ___

2 2

y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x

So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all x-terms. It does not matter which variable you choose to eliminate, as long as you know what you are doing.

I am joyous to assist you anytime.

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3 years ago

Please help! factorise 3e^2 + 5e

Oksana_A [137]

3e^2 + 5e = e(3e +5)

............................

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3 years ago