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4 years ago

Circle the ordered pairs that are solutions to the inequality y - 2x < - 1.

1 answer:

5 0

All we have to do, is plug in the ordered pairs, and see which ones are true to the equation. (x,y)

(1,0) After plugging those into the equation we get: 2<-1. this is not true, so this answer is false.

I continued this all the way down the line:

(0,1)= 1<-1 = false
(0,-1)=-1<-1=false
(-1,0)= -2<-1=true
(3,2)=-1<-1=false
(-2,-4)=2<-1=false
(2,4)=2<-1=false
(-4,2)=8<-1=false
(0,0)=0<-1=false

There is only one true ordered pair for this equation:

(-1,0)

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In a survey of 3400 people asked about their ice cream preference, 1600 enjoyed chocolate, 1250 enjoyedvanilla, 1700 enjoyed min

velikii [3]

Answer:

Step-by-step explanation:

To understand the situations we must do a Venn diagram:

The total of people asked is 3400. Then,

a) For People who enjoyed vanilla but not chocolate or mint, seeing the diagram of Venn, we can deduce the equations:

$undefined$

b) For people who did not enjoy chocolate, vanilla or mint:

$undefined$

4 0

1 year ago

A triangle has vertices A(1, 1), B(2, 4), and C(4, 2). Line p is parallel to side AB and contains point C.

kenny6666 [7]

Answer:

$p:y = 3x-10$

Step-by-step explanation:

We are given the following in the question:

A(1, 1), B(2, 4), C(4, 2)

i) Slope of AB

$A(1, 1), B(2, 4)\\\\m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{4-1}{2-1}=3$

Thus, slope of AB is 3.

ii) Point slope form

The point slope form of a line can be written as:

$y - y_1 = m(x - x_1)$

The point intercept form of line can be written as:

$y = mx + c$

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB

Putting values, we get,

$y - 2 = 3(x-4)\\y = 3x-12+2\\y = 3x-10$

which is the required slope intercept equation of line p.

4 0

3 years ago

(0,65-3,21)por(-8,12)=?

PIT_PIT [208]

Answer: $=20,7872$

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs. Notice that:

$(+)(+)=+\\\\(-)(-)=+\\\\(-)(+)=-\\\\(+)(-)=-$

In this case you have the following expression given in the exercise:

$(0,65-3,21)(-8,12)$

Then you can follow the steps shown below in order to solve it:

Step 1: You must solve the subtraction of the numbers 0,65 and 3,21. Then:

$=(-2,56)(-8,12)$

Step 2: Now you must find the product of the decimal numbers above. In order to do that you must multiply the numbers.

(As you can notice, both are negative, therefore you know that the product will be positive).

Then, you get that the result is the following:

$=20,7872$

5 0

3 years ago

The world's biggest rubber band ball has a surface area of 27648. Using 3 as pi for both surface area and volume, estimate the v

jeyben [28]

We know that
surface area of sphere=4*pi*r²
r=√[surface area/(4*pi)]
for surface area=27648
r=√[27648/(4*3)]-------> r=√2304-----> r=48 units

volume of a sphere=(4/3)*pi*r³-----> (4/3)*3*48³---> 442638 units³

the answer is
<span>442368</span>

5 0

3 years ago

Evaluate the following:81¾

Olin [163]

Answer:

81 $\frac{3}{4}$

Step-by-step explanation:

Sorry this question does not sense..... 81 $\frac{3}{4}$ is evaluated

maybe I don't understand the terminology

5 0

3 years ago