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2 years ago

What is the equation of the line that passes through the point (4,7) and has a slope of o?

Mathematics

1 answer:

Svetlanka [38]2 years ago

5 0

Answer:

The equation of the line that passes through the point (4,7) and has a slope of 0 will be:

$y=7$

Step-by-step explanation:

As we know the equation of a line in a slope-intercept form of an equation is

$y = mx + b$

Here,

m is the slop

b is the y-intercept

substituting the point (4,7) and slope m=0

$y = mx + b$

$7=0(4)+b$

$7=0+b$

$b=7$

Therefore, the equation of the line that passes through the point (4,7) and has a slope of 0 will be:

$y = mx + b$

$y=0x+7$

$y=7$

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Three taps can fill a tank in 1.5 hours how many tab can feel it in 45 minutes

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Answer:

30 Tabs?

Step-by-step explanation:

Not so sure on this, I just divided 45/1.5.

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2 years ago

What is the difference between a relation and function? Classify each of the following as a function, or not a function. State t

Levart [38]

Answer:

A relation is a subset of cartesian product of two non empty sets whereas A function is a type of relation in which every element of first set has one and only image in the second set.

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1 year ago

The data set represents a progression of hourly temperature measurements.Use the regression equation to predict the temperature

zimovet [89]

I will attach google sheet that I used to find regression equation.
We can see that linear fit does work, but the polynomial fit is much better.
We can see that R squared for polynomial fit is higher than R squared for the linear fit. This tells us that polynomials fit approximates our dataset better.
This is the polynomial fit equation:
$T(h)=20.2-3.6h-0.875h^2$
I used h to denote hours. Our prediction of temperature for the sixth hour would be:
$T(6)=20.2-3.6(6)-0.875(6)^2=-32.9$
Here is a link to the spreadsheet (<span>https://docs.google.com/spreadsheets/d/17awPz5U8Kr-ZnAAtastV-bnvoKG5zZyL3rRFC9JqVjM/edit?usp=sharing)</span>

4 0

2 years ago

Read 2 more answers

Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)

Alexxandr [17]

Answer:

$\%Percent = 30 \%$

Step-by-step explanation:

Given

$Shaded = 6\ cubes$

$Box = 5\ x\ 4$

Required

Determine the percentage of the shaded cubes

First, we calculate the number of boxes:

$Box = 5\ x\ 4$

Express as multiplication

$Box = 5\ *\ 4$

$Box = 20$

This implies that there are 20 cubes in the box.

The percentage of the shaded cubes is:

$\%Percent = \frac{Shaded}{Box} * 100\%$

$\%Percent = \frac{6}{20} * 100\%$

$\%Percent = \frac{6* 100}{20} \%$

$\%Percent = \frac{600}{20} \%$

$\%Percent = 30 \%$

<em>30% were shaded</em>

5 0

2 years ago

F(x)=8_-4x-x^3. g(x)=x^2+7x-9. Find f(x)+g(x)

11111nata11111 [884]

$(8 - 4x - {x}^{3} ) + ( {x}^{2} + 7x - 9) \\ = - {x}^{3} + {x}^{2} - 4x + 7x + 8 - 9 \\ = - {x}^{3} + {x}^{2} + 3x - 1$
$(8x - 4x - {x}^{3} ) + ( {x}^{2} + 7x - 9) \\ - {x}^{3} + {x}^{2} + 8x - 4x + 7x - 9 \\ - {x}^{3} + {x}^{2} + 11x - 9$
The answer is either B, and you forgot to put in the ^2 in the answer choice, or C, and you forgot to put an x where there is a _ in the question.

Check the actual question (the one you recieved, not the one posted here) and see where the mistakes are. If f(x) = 8x - 4x - x^3, then your answer is C. However, if B is actually -x^3 + x^2 + 3x - 1, then the answer is B.

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3 years ago