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Arada [10]
3 years ago
5

The common factor of 6x 66xy​

Mathematics
1 answer:
Bess [88]3 years ago
4 0

Answer:

6x and 1x or x

Step-by-step explanation:

the highest common factor of 6x and 66xy in 6x

6x ÷ 6x = 1

66xy ÷ 6x = 11y

the lowest common factor of 6x and 66xy is 1x or x

6x÷ 1x =6

66xy÷ 1x = 66y

6x÷ x = 6

66xy ÷ x = 66y

NOTE

1x and x is the same

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Using f(x)= log x, what is the x intercept of g(x)=log (x+4). use reasoning ​
lyudmila [28]

The x-intercept of a function is the point where it crosses the x-axis.

The x-intercept of g(x)=log(x + 4) is -3

<h3>How to determine the x-intercept</h3>

We have:

f(x) = log(x)

Rewrite as:

y = log(x)

Apply  the exponent rule

x = 10^y

Set y to 0

x = 1

Given that f(x) is shifted 4 units left to get g(x).

The x-intercept of g(x) is then calculated as:

x = 1  -4

x = -3

Hence, the x-intercept of g(x)=log(x + 4) is -3

Read more about intercepts at:

brainly.com/question/570062

3 0
3 years ago
3) A tour trolley covers a distance of 8.5 miles in of an hour.
sp2606 [1]

Answer:

a) Ans: 8.5 miles per hour

b) Ans: 46.75 miles

Step-by-step explanation:

a) Speed = Distance/Time

8.5/1h = 8.5 miles per hour

b) Distance = Speed x Time

8.5 miles per hour x 5.5h = 46.75 miles

5 0
3 years ago
A fourth grade class of 28 students is given a standardized math test. The mean score of the 12 boys is 25 with a standard devia
Mashcka [7]

Answer:

The standard error for the sampling distribution is 1.323.

Step-by-step explanation:

Let <em>X</em> = scores of girls and <em>Y</em> = scores of boys.

The information provided is:

\bar x=24\\s_{x}=4\\n_{x}=16\\\bar y=25\\s_{y}=3\\n_{y}=12

As the population standard deviations are not known, use a pooled standard deviation to estimate the standard error of the sampling distribution.

The formula of pooled standard deviation is:

S_{p}=\sqrt{\frac{s_{x}^{2}}{n_{x}^{2}}+\frac{s_{y}^{2}}{n_{y}^{2}}}

Compute the standard error for the sampling distribution as follows:

SE=\sqrt{\frac{s_{x}^{2}}{n_{x}^{2}}+\frac{s_{y}^{2}}{n_{y}^{2}}}=\sqrt{\frac{4^{2}}{16}+\frac{3^{2}}{12}}=\sqrt{1+\frac{9}{12}}=\sqrt{\frac{21}{12}}=1.323

Thus, the standard error for the sampling distribution is 1.323.

7 0
3 years ago
A car is driving 45 mi/h. What is the speed of the car in feet per minute
katovenus [111]
.75 mi/minute

45/60=.75
.75 miles every minute

there are 3960 feet per minute.

You could also times 45 by 5280, since there are 5280 feet in a mile, and you would get 237,600. You would then divide it by 60, and still end up with 3960 feet per minute.

Tell me if this helps
4 0
3 years ago
If f(x)= 2x^3-12x^2+20x-16 and f(4)= 0, then find all the zeros of f(x) algebraically
Sonja [21]

Answer:

  • x = 4 is the only real zero

Step-by-step explanation:

<u>Find the zero's of f(x)</u>

  • 2x³ - 12x² + 20x - 16 = 0
  • x³ - 6x² + 10x  - 8 = 0
  • x³ - 4x² - 2x² + 8x + 2x - 8 = 0
  • x²(x - 4) - 2x(x - 4) + 2(x - 4) = 0
  • (x - 4)(x² - 2x + 2) = 0
  • (x - 4)(x² - 2x + 1 + 1) = 0
  • (x - 4)[(x - 1)² + 1] = 0
  • x - 4 = 0 ⇒ x = 4, we already know this
  • (x - 1)² + 1 = 0 ⇒ (x - 1)² = - 1, no real solution as the square is never negative
8 0
2 years ago
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