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3 years ago

Help ill give you brainliest

Mathematics

1 answer:

serg [7]3 years ago

5 0

16x^0=16(1)=16
2(2)^2=8
(4)^-1=1/4
8•1/4=2
16+2=18
The answer will be 18.
USE PEMDAS!

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in a parking garage, the number of SUV's is 40 percent of the non SUV's. Gina counted 98 suv's in the parking garage. How many v

kondor19780726 [428]

You can find this answer multiple ways.

One way is to represent it as an equation and solve for x, The total number of vehicles.

0.4x = 98
x = 245 vehicles

Or write a proportion using the fraction for 40%.

2/5 = 98/x

5 x 49 = 245

There are 245 vehicles in the garage.

8 0

2 years ago

Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

4 0

2 years ago

Tell whether the ratios form a proportion.

hoa [83]

Yes
9:3- 3:1
45:15 - 3:1

3 0

2 years ago

Find the equation of the line passing through points (-4,2) and (1,-6)

anzhelika [568]

Answer:

y + 6 = (-8/5)(x - 1) in point-slope form

Step-by-step explanation:

Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8. Thus, the slope of the line through these two points is m = rise / run = -8/5

Now we have two points on the line, plus the slope. Let's write out the point-slope formula for the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

Here, using the point (1, -6), we obtain:

y + 6 = (-8/5)(x - 1) in point-slope form

8 0

2 years ago

Sabrina is building three identical table tops. The table top measures 8 feet by 3 feet. How many square feet of wood will Sabri

polet [3.4K]

I think sabrina would need 24 table tops

3 0

2 years ago