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serg [7]
3 years ago
9

The graph shows the favourite colours chosen by some middle school students. Which statement is supported by the information in

the graph?

Mathematics
1 answer:
ivanzaharov [21]3 years ago
6 0

Answer:

A is incorrect. 34% of the students chose red, yellow, or orange.

Step-by-step explanation:

answer will be updated when more options are given.

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Write the equation of the line with an x-intercept at (0,2) and perpendicular to 3x+4y=12.
juin [17]

First you normalize 3x+4y=12 into y = -3/4 x + 3 (dividing by 4).

Then you observe that the slope of the line is -3/4 (it's always the factor with the x). A perpendicular line has the reciprocal slope. Reciprocal means inverted and negated. So -3/4 becomes +4/3.

The equation will thus look like y = 4/3 x + b. To find b, we fill in the given x intercept (0,2), (we get 2 = 4/3 * 0 + b). With x=0, b must be 2.

So the equation is: y = 4/3 x + 2

6 0
3 years ago
Read 2 more answers
For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.
andriy [413]

Answer:

If k = 1 or k = -\frac{1}{2}, there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

The signal of \bigtriangleup determines how many real roots an equation has:

\bigtriangleup > 0: Two real and different solutions

\bigtriangleup = 0: One real solution

\bigtriangleup < 0: No real solutions

In this problem, we have the following second order polynomial:

(k+1)x^{2} + 4kx + 2 = 0.

This means that a = k+1; b = 4k; c = 2

It has one solution if

\bigtriangleup = 0

b^{2} - 4ac = 0

16k^{2} -8(k+1) = 0

16k^{2} - 8k - 8 = 0

We can simplify by 8

2k^{2} - k - 1 = 0

The solution is:

k = 1 or k = -\frac{1}{2}

So, if k = 1 or k = -\frac{1}{2}, there is only one solution to the given quadratic equation.

4 0
3 years ago
HELPPPPP PLEASEEEEEE !!!!!!!A recipe requires x number of cups of flour to produce y number of servings.
Makovka662 [10]
Looking at 1 1/2 makes 12 cups, you can divide them to see the total of cups it would make with one cup of flower. 1 1/2 is equal to 1.5 , and with that information we do 12 divided by 1.5 which is 8. the answer is 8 per 1 cup of flower.
8 0
3 years ago
Read 2 more answers
Which expression is equivalent to - 1 2/5 + 2 1/3
Ulleksa [173]

Answer:

  • C. 2 1/3 - 1 2/5

Step-by-step explanation:

Let a = - 1 2/5 and b = 2 1/3

<u>We have a + b, lets compare with the options:</u>

  • A) a + (- b) = a - b, no
  • B) a - b, no
  • C) b + a = a + b, yes
  • D) b - a, no
6 0
2 years ago
A document that is 35 in. By 40 in. Is redrawn at 1 1/2 scale and then redrawn at 1/4 scale. What are the final dimensions of th
Andru [333]
The dimension of the document is 35 inches by 40 inches.
It is redrawn at a scale of 1 1/2 or 3/2 or 1.5
The dimension will be:
35 * 1.5 = 52.5 in
40 * 1.5 = 60 in

Then redrawn again at 1/4 or 0.25
52.5 * 0.25 = 13.125 in
60 * 0.25 = 15 in

So the final dimensions of the drawing is 13.125 in by 15 in



5 0
3 years ago
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