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bazaltina [42]
3 years ago
12

Is 7x=5x-25+30 no solution,one solution, or all real numbers? Thank you!

Mathematics
1 answer:
viva [34]3 years ago
6 0

One solution let's find that

\\ \rm\hookrightarrow 7x=5x-25+30

\\ \rm\hookrightarrow 7x=5x+5

\\ \rm\hookrightarrow 2x=5

\\ \rm\hookrightarrow x=5/2

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The wait time of a line t hours after a store opens is given by the expression.
ser-zykov [4K]
23 represents the wait time at the time the store opens.
7 0
3 years ago
What is a cubic polynomial function in standard form with zeros 1,1,and -3?
Mekhanik [1.2K]

Answer:

f(x) = x³ + x² - 5x + 3

Step-by-step explanation:

The cubic polynomial has zeros at 1, 1, - 3.

Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.

Hence, we can write the polynomial as a function of x as

f(x) = (x - 1)(x - 1)(x + 3)

⇒ f(x) = (x² - 2x + 1)(x + 3)

⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3

⇒ f(x) = x³ + x² - 5x + 3

So, this is the cubic polynomial function in standard form. (Answer)

8 0
3 years ago
7. If the longer leg of a right triangle is twice as long as the shorter leg, what is the ratio of
kicyunya [14]

Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.

Step-by-step explanation:

I suppose that the "legs" of a triangle rectangle are the cathati.

if L is the length of the shorter leg, 2*L is the length of the longest leg.

Now you can remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

Then there is one acute angle calculated as:

Tan(θ)  =  (shorter leg)/(longer leg)

Tan(φ) = (longer leg)/(shorter leg)

And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.

Then we need to find θ and φ.

Tan(θ) = L/(2*L)

Tan(θ) = 1/2

θ = Atan(1/2) = 26.57°

Tan(φ) = (2*L)/L

Tan(φ) = 2

φ = Atan(2) = 63.43°

Then the ratio between the larger acute angle and the smaller acute angle is:

R = (63.43°)/(26.57°) = 2.39

This means that the larger acute angle is 2.39 times the smaller acute angle.

5 0
3 years ago
Answer ASAP/. What is 2 1/2 and 2.4 and 2.35 and 2 1/8 listed and greatest to least// I need the answer ASAP
crimeas [40]
Since 1/2=0.5 and 1/8=0.125, we have 2.5, 2.4, 2.35, and 2.125. The first number we look for is the one to the left, and they're all the same, so that doesn't necessarily help. Next, we have a 5, 4, 3, and 1. They're already in order from greatest to least, so that's awesome!
8 0
3 years ago
Read 2 more answers
Help me with khan geometry. (Explain or give answer no link to answer thx)
NikAS [45]

Answer:

\boxed{\sf 200\pi}

Step-by-step explanation:

We know that the volume of a cone:-

\boxed{\sf  \pi r^2\cfrac{h}{3}}

(r = 10) (h = 6)

\sf \pi \times 10^2\times\cfrac{6}{3}

<u>Divide numbers:-</u>

\sf \cfrac{6}{3}=\boxed{2}

\sf 10^2\times \:2\pi

\sf 100\times \:2\pi

<u>Multiply numbers:-</u>

\boxed{\sf 200\pi}

Therefore, your answer is 200π³

We could also multiply 200 by 3.14 which will give you 628 units³.

7 0
2 years ago
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