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mafiozo [28]
3 years ago
6

8= 8 + 4x +5x can anyone help me with this

Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer:

0= x

Step-by-step explanation:

8= 8 + 4x +5x

Combine like terms

8 = 8+9x

Subtract 8 from each side

8-8 =8+9x-8

0 = 9x

Divide by 9

0/9 = 9x/9

0= x

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Equation equivalent to 5x(3x+4)
Vika [28.1K]

use the distributive property

5x(3x+4)

15x^2 +20x

7 0
3 years ago
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HELP PLEASE! Write a quadratic function that passes through the point (-1,9), has an axis of symmetry of x=-3 and a minimum valu
xxTIMURxx [149]

Answer:

y = \frac{1}{2}x^{2} - 3x + 11.5

Step-by-step explanation:

Vertex form of a quadratic equation;

y = a( x - h )^{2} + k

Vertex of the parabolas (h, k)

The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

y = a ( x + 3 ) ^{2} + 7

Now substitute in the given point; ( -1, 9) and solve for a;

9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7           -7\\2 = 4a\\\frac{1}{2} = a\\

Hence the equation in vertex form is;

y = \frac{1}{2}(x - 3)^{2} + 7

In standard form it is;

y = \frac{1}{2}x^{2} - 3x + 11.5

7 0
3 years ago
UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the stati
Arlecino [84]

Answer:

The claim is rejected

Step-by-step explanation:

Claim: UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13).

Null hypothesis: H_0: \mu = 48500

Alternate hypothesis :H_a : \mu \neq 48500

n = 50

Since n is more than 30 .

So we will use Z test

x=43350

Standard deviation = 15000

Z=\frac{x-\mu}{\frac{s}{\sqrt{n}}}\\Z=\frac{43350-48500}{\frac{15000}{\sqrt{50}}}\\Z=-2.42

Refer the z table

p value = 0.00776

\alpha = 0.01

p value < \alpha

So, We are failed to accept null hypothesis

Hence The claim is rejected

5 0
4 years ago
Wendy purchased 9 pizzas for x dollars. She spent a total of $85.50. Find the value of x
disa [49]
X=9.5 all you do is divide the total by the other factor you have
5 0
3 years ago
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Question 1 of 10 Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What
dangina [55]

Hey there!!

The question states that a sum is invested which is $3000 and hence, this would be counted as the principle amount or the principle sum.

The term given is 3 years, which gives us the idea that this interest is being counted or being active for 3 years.

She ( Diana ) earned the sum $450 at the end of three years. This means, the simple interest is $450.

Never get confused with the principle amount, principle sum and interest.

<u><em>Principle amount = Principle sum + The interest. </em></u>

Formula given :

I = prt

'p' is denoted as the principle sum, r is the rate and the t is the term or the number of years.

Now, plugging in all the values :

... <em>450 = 3000×r×3 </em>

... <em>450 = 9000×r </em>

... <em>r = 450 / 9000</em>

... <em>r = 0.05 </em>

... <em>r = 5% </em>

As we need the answer in the decimal form, the answer would be <em><u>0.05</u></em>

Hope my answer helps!!<em> </em>

4 0
3 years ago
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