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lana [24]
3 years ago
6

Factor completely and check your answer: Help!

Mathematics
1 answer:
statuscvo [17]3 years ago
3 0

Answer:

The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).

Step-by-step explanation:

You can see how this factors by looking at the last term, and the coefficient of the second term.  You need to find two numbers that multiply to make seven, and add to make eight.

Because seven is a prime number, this becomes very easy.  If this works at all, the numbers must be seven and one.

And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use.  Let's do it:

x² + 8x + 7

= x² + x + 7x + 7

= x(x + 1) + 7(x + 1)

= (x + 7)(x + 1)

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How many solutions does the system have?
Mrac [35]

Answer:

A Exactly one solution

Step-by-step explanation:

\left \{ {{6x-3y=9} \atop {6x+y=9}} \right.\\\\\left \{ {{6x-3y=9} \atop {-6x-y=-9}} \right\\\\Then, \\\\-4y=0\\\\\\ y=0\\\\

Putting y=0 at second equation, we have

-6x=-9\\\\x=\frac{9}{6} =\frac{3}{2}

The unique solution is (\frac{3}{2} , 0)

3 0
3 years ago
What is 67 x 578 divide by 5?
MA_775_DIABLO [31]

Answer:

7745.2

Step-by-step explanation:

you need to multiply 67 by 578 which is 38726. then you divide it by 5. In short, you can just use calculator or you can use scratch paper.\

3 0
3 years ago
Read 2 more answers
A dog breeder plans to mix two types of food to make a mix of low cost
lys-0071 [83]

Answer:

  • 3.75 bags of ChowChow
  • 0.75 bags of Kibble

Step-by-step explanation:

The constraints on protein, minerals, and vitamins give rise to the inequalities ...

  40c +30k ≥ 150 . . . . . . required protein

  20c +20k ≥ 90 . . . . . . required minerals

  10c +30k ≥ 60 . . . . . . . required vitamins

And we want to minimize 10c +12k.

The graph shows the vertices of the feasible region in (c, k) coordinates. The one that minimizes cost is (c, k) = (3.75, 0.75).

To minimize cost, the daily feed should be ...

  • 3.75 bags of ChowChow
  • 0.75 bags of Kibble

Daily cost will be $46.50.

5 0
4 years ago
Translate each sentence into a formula
Bas_tet [7]
1) Perimeter=2length+2width
This is the formula for finding the perimeter of a rectangle

2) Density=mass/volume
The “Quotient” is the answer to a division problem (like how the “sum” is the answer to an addition problem) which is why we know to divide mass and volume

3) Force = mass*acceleration
The “product” is the answer to a multiplication problem which is why we know to multiply mass and acceleration

4) surface area = 6*L^2
The formula used to calculate the area of a square is L^2. The problem tells us that surface area is the sum of all the faces of a 3D shape. Because there are 6 sides on a cube, we multiply L^2 by 6.

Hope this helps!
6 0
3 years ago
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y =
rosijanka [135]

Answer:

Well ,lets see∉ if you add theose numbers togetherФ it maybe it he answer is 4=67 *64  ---4 67x54 5xe4t4 6x

7 0
3 years ago
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