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Yakvenalex [24]
3 years ago
9

What is x+0.15x=3.45

Mathematics
2 answers:
Akimi4 [234]3 years ago
6 0

Answer:3.3

Step-by-step explanation:

spayn [35]3 years ago
5 0

Answer:

x is 3

Step-by-step explanation:

connect light terms

x+.15x=3.45

1.50x=3.45

divide both sides by 1.50

which is 3 so three is your answer for x

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Rewrite the function in standard form, intercept form, find the vertex, find the y-intercept, and find the x-intercepts.
jasenka [17]

Answer:

We have the function, f(x)=(x+3)^{2}-4

On simplifying, we get,

f(x)=x^2+6x+9-4

i.e. f(x)=x^2+6x+5

Thus, the standard form of the function is f(x)=x^2+6x+5.

Now, the factors of the given functions are (x+1) and (x+5).

<em>Since, the intercept form of the function is the factored form of the function.</em>

So, we have, intercept form of the function is f(x)=(x+1)(x+5).

Now, we know that,

Value of x-coordinate of the vertex is \frac{-b}{2a} i.e. \frac{-6}{2\times 1} i.e. \frac{-6}{2} i.e. x= -3

Then, f(-3)=(-3)^2+6\times (-3)+5 i.e. f(-3)=9-18+5 i.e. f(-3)=-4

So, the vertex of the function is (-3,-4).

Further, we know that,<em> 'the y-intercept of a function is the point where the function crosses y-axis'.</em>

So, when x=0, we have, f(0)=0^2+6\times 0+5 i.e. f(0) = 5

Thus, the y-intercept is (0,5)

Also, <em>'the x-intercept of a function is the point where the function crossese x-axis'.</em>

Then, for f(x)=0, we have 0=x^2+6x+5 i.e. 0=(x+1)(x+5) i.e. x= -1 and x= -5

Thus, the x-intercept are (-1,0) and (-5,0).

8 0
3 years ago
The period 7 (in seconds) of a pendulum is given by T = 2pi√( L divided by 32) where L stands for the length (in feet) of the pe
oksano4ka [1.4K]

Answer:

128 feet

Step-by-step explanation:

t = 2\pi \sqrt{\frac{l}{32} }

So now we will substitute the values of T and π into the equation.

12.56 = 2 \times 3.14 \sqrt{ \frac{l}{32} }

12.56 = 6.28 \sqrt{ \frac{l}{32} }

Divide both sides by 6.28

2 =  \sqrt{ \frac{l}{32} }

Square both sides.

4 =  \frac{l}{32}

Multiply both sides by 32

l = 4 \times 32 \\ l = 128 \: feets

5 0
1 year ago
True or false;<br> If two planes cross one another, then their intersection is two lines.
Vlad1618 [11]
If they intersect eachother then the answer is true
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In order to determine the average weight of carry-on luggage by passengers in airplanes, a sample of 25 pieces of carry-on lugga
Fynjy0 [20]
To find the standard error, divide the standard deviation by the square root of the sample size

standard deviation = 7.5
sample size = 25......sqrt 25 = 5

standard error = 7.5 / 5 = 1.5 <==
6 0
3 years ago
Ethan decided to give 10% of his monthly income to charity. This month, he wrote the
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put the decimal in the multiplication problem in the exact same point under the line then multiply as normal and you should get 152.6 meaning $152.60

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