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mafiozo [28]
3 years ago
7

T takes tristan 30 minutes to read 20 pages of her book. if she continues to read at this rate, how long will it take her to rea

d 160 pages?
Mathematics
2 answers:
myrzilka [38]3 years ago
8 0
It would take 240 minutes
pogonyaev3 years ago
4 0
It will take Tristan 240 minutes to read the 160 pages. You have to figure this out by dividing 30 by 20 which is 1.5. Then you multiply 1.5 by 160 and that gives you 240.<span />
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Graph the line and the parabola and find the points of intersection: y= 3-x ; y=x(squared)+x-12
melomori [17]

Answer:

Step-by-step explanation:

We have to graph a line y = 3 - x which has the slope = -1 and y intercept 3.

We will select two points where line intersects at x = 0 and y = 0

The given line will intersect x-axis at (3, 0) and at y- axis (0, 3).

Joining these two points we can draw a straight line showing y = -x + 3

Now we will draw the parabola given by equation y = x² + x - 12

We will convert this equation in vertex form first to get the vertex and line of symmetry.

Standard equation of a parabola in vertex form is

y = (x - h)² + k

Where (h, k) is the vertex and x = h is the line of symmetry.

y = x² + x - 12

y = x² + 2(0.5)x + (0.5)²- (0.5)²-12

y = (x + 0.5)² - 12.25

Therefore, vertex will be (-0.5, -12.25) and line of symmetry will be x = 0.5

For x intercept,

0 = (x + 0.5)² - 12.25

x + 0.5 = ±√12.25

x = -0.5 ± 3.5

x = -4, 3

For y- intercept,

y = (0+0.5)² - 12.25

 = 0.25 - 12.25

y = -12

So the parabola has vertex (-0.5, - 12.25), line of symmetry x = 0.5, x intercept (4, 0), (and y-intercept (0, -12).

Now we have to find the points of intersection of the given line and parabola.

For this we will replace the values of y

3 - x = x² + x - 12

x² + 2x - 15 = 0

x² + 5x - 3x - 15 = 0

x(x + 5) - 3(x + 5) = 0

(x - 3)(x + 5) = 0

x = 3, -5

For x = 3

y = 3- 3 = 0

For x = -5

y = 3 + 5 = 8

Therefore, points of intersection will be (3, 0) and (-5, 8)

 

4 0
3 years ago
Dot got a 75% on her test. She missed 12 questions. how many questions were on the test
AleksAgata [21]
Well, if it was out of 50, it would be 76%.

So the answer might be 50 questions total, but maybe there was 49 questions total.

I would probably go with 50 questions total.
7 0
3 years ago
What is 12 divided by 2/3<br><br><br><br> What is 2/3 divided by 12
Alex777 [14]
12 divided by 2/3 = 18
2/3 divided by 12 = 0.5
8 0
3 years ago
I need help with question 15
Nadusha1986 [10]

A rational number is a number that can be written in the form:

\frac{p}{q}

Where p and q are coprimes. We are asked for finite sets, we can rule out options 3 and 4. In the set in option 2 the first element is:

\sqrt{3}

This number cannot be written a ratio. We can rule out option 2.

All the elements in the set from option 1 can be written in the form p/q.Thus, the answer is the first option.

3 0
1 year ago
What is X if
umka2103 [35]

Answer:

X = \begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}

Step-by-step explanation:

\begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix} +X = \begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}

X = \begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}-\begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix}

X = \begin{bmatrix} - 5-(-1) & - 1-(-2)\\ 2-4 & 1-8\end{bmatrix}

X = \begin{bmatrix} - 5+1 & - 1+2\\ 2-4 & 1-8\end{bmatrix}

X = \begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}

7 0
3 years ago
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