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3 years ago

Solve for x: 6 + 3x = x - 8

Mathematics

1 answer:

djyliett [7]3 years ago

7 0

Answer:

x = 1 + i √ 2 , 1 − i √ 2

Step-by-step explanation:

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$10,000 is invested at two different rates. $2,500 is invested at 4%, and the rest is invested at 5%. How much interest is earne

worty [1.4K]

I'm assuming this is a yearly interest.

2500*.04=100
7500*.05=375

so that would be $475 earned from interest

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3 years ago

A(x+1)(x-1)+b(x-2)(x+1)+(x+1)^2=9x-x-10 What is a+b?

igor_vitrenko [27]

a(x+1)(x-1)+b(x-2)(x+1)+(x+1)^2=9x^2-x-10

(x+1)(a(x-1)+b(x-2)+(x+1))=(x+1)(9x-10)

a(x-1)+b(x-2)+x+1=9x-10

Now this equation is much simpler!

(a+b)x-a-2b+x+1=9x-10

(a+b)x-a-2b=8x-11

(a+b-8)x-a-2b-11=0

a+b-8=(a+2b-11)/x

I can't solve it 3 variables and 1 equations means infinite answers so yea.

4 0

3 years ago

Which rational number is positive

victus00 [196]

Answer: d

Step-by-step explanation:

6 0

3 years ago

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In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B

Step2247 [10]

Answer:

The coordinates of P are (-2,0)

The radius of the circle is 5.

Step-by-step explanation:

Analytic geometry

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

Substituting x1=-6, x2=2, y1=3, y2=-3:

$\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2$

$\displaystyle y_m=\frac{3-3}{2}=0$

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substituting x1=-6, x2=-2, y1=3, y2=0:

$r=\sqrt{(-2+6)^2+(0-3)^2}$

$r=\sqrt{4^2+(-3)^2}$

$r=\sqrt{16+9}=\sqrt{25}=5$

The radius of the circle is 5.

4 0

3 years ago

Mrs.Henderson had 7/12dozen eggs in her refrigerator.Then she used 1/6 dozen eggs to make a cake.What fraction of a dozen is lef

zhuklara [117]

Ok so to find the eggs left we need to subtract but with fractions, you need a common denominator. You can multiply 1/6 by 2 because 6·2=12 which will be the same denominator as 7/12. You must multiply the numerator by 2 as well so 1/6· 2/2= 2/12. Now subtract 7/12 - 2/12 and you have 5/12 eggs left. :)

5 0

3 years ago

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