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andreyandreev [35.5K]
4 years ago
6

How to solve (including answer) x^2+8x+7=0 by factoring

Mathematics
1 answer:
sesenic [268]4 years ago
3 0
Since the first term in the equation is x^{2}, you know that each group you make will have to have an x in it. Now, you need to figure out what times what equals 7 and adds up to 8. You can list all of the numbers that multiply to seven until you find the right numbers.

-1 x -7
1 x 7

1 and 7 add to eight and multiply to seven, so those will be the numbers in your groups. This makes your factored groups (x + 1)(x + 7).
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A new law requires that 5% of an individual's income to be invested in the stock market. Your accounts show that you need to put
Kaylis [27]

Divide the amount you need to invest by the percentage.

430/0.05 = 8,600

You earned $8,600

4 0
3 years ago
Please answer quickly
notka56 [123]

Answer:

\frac{16}{3}

Step-by-step explanation:

To evaluate substitute x = - \frac{1}{2} into f(x)

f( - \frac{1}{2})

= - \frac{2}{3} × - \frac{1}{2} + 5

= \frac{1}{3} + 5

= \frac{1}{3} + \frac{15}{3} = \frac{16}{3}


4 0
3 years ago
The optimal height h of the letters of a message printed on pavement is given by the formula <img src="https://tex.z-dn.net/?f=h
choli [55]

Answer:

The value of h is 42.956 approximately.

Step-by-step explanation:

Consider the provided formula h=\dfrac{0.00252 d^{2.27}}{e}.

Here d is the distance of the driver from the letters and e is the height of the​ driver's eye above the pavement. All of the distances are in meters.

We need to find the value of h where the value of d = 92.4 m, e = 1.7 m.

Substitute d = 92.4 m, e = 1.7 m in above formula and solve for h.

h=\dfrac{0.00252\left(92.4\right)^{2.27}}{1.7}

h\approx\dfrac{0.00252\left(28978.4648\right)}{1.7}

h\approx\dfrac{73.0257}{1.7}

h\approx42.956

Hence, the value of h is 42.956 approximately.

8 0
3 years ago
Sin^2 (theta)-cos^2 (theta)=0
yanalaym [24]
Hope this helps you.

8 0
3 years ago
Find the equation of the line that passes through the points (3,-2) and (6,-8)
Karolina [17]

Answer:

2x + y = 4

Step-by-step explanation:

The two-point form of the equation of a line is:

y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)

We have:

x1 = 3

y1 = -2

x2 = 6

y2 = -8

Plug in all the values where they belong in the equation above.

y - (-2) = \dfrac{-8 - (-2)}{6 - 3}(x - 3)

Simplify.

y + 2 = \dfrac{-6}{3}(x - 3)

y + 2 = -2(x - 3)

y + 2 = -2x + 6

2x + y = 4

3 0
3 years ago
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