Which is the correct solution set for 4x^2 +4x -3 = 0?
(1) {2,-3}
(2) {1/2, -3}
(3) {1,2}
(4) {1/2, -3/2}

Answers

Answer 1

Answer: 4x^2 + 4x - 3 = 0
(2x + 3)(2x - 1) = 0

2x + 3 = 0
2x = -3
x = -3/2

2x - 1 = 0
2x = 1
x = 1/2

Answer: (4) {1/2, -3/2}

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If the circle in the diagram revolves about the vertical dashed line, which type of geometrical shape will it generate?

Answers

Answer: A solid ring

Step-by-step explanation:

From the given diagram, if the circle revolves about the vertical dashed line.

We can see that there is some distance between the circle and the vertical line, which is represented by horizontal dashed line.

So, when it revolves about the vertical dashed line, it will form a torus (donut shape).

A torus is nothing but the solid ring .

A torus is a surface of revolution generated by revolving a circle in three-dimensional space about an axis with the circle such that the axis of revolution does not touch the circle.

Hello,

If a solid ring is a TOR (tore in french , a room air )

then answer D

Out of the 180 students at a summer camp, 72 signed up for canoeing. There were 23 students who signed up for trekking, and 13 of those students also signed up for canoeing.Use a two-way table to organize the information and answer the following question:

Approximately what percentage of students signed up for neither canoeing nor trekking?

72%
40%
54%
98%

Answers

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Total number of students = 180

Number of students who signed for canoeing (C) = 72

Number of students who signed for trekking (T) = 23

Number of student who signed for trekking is also signed for canoeing = 13

Number of students who only signed for canoeing (C) = 72-13=59

Number of students who only signed for trekking (T) = 23-13=10

So, Number of students who signed up either for canoeing or trekking is given by

$n(C\cup T)=n(C)+n(T)-n(C\cap T)\n\nn(C\cup T)=72+23-13\n\nn(C\cup T)=95-13\n\nn(C\cup T)=82$

So, Number of students who signed up neither for canoeing not trekking is given by

$n(C\cup T)'=n(U)-n(C\cup T)\n\nn(C\cup T)'=180-82\n\nn(C\cup T)'=98$

So, Percentage of students signed up for neither canoeing nor trekking is given by

$(98)/(180)* 100\n\n=54.4\%\n\n\approx 54\%$

Hence, Third option is correct.

that is 72%of the kids

The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count for a serving of food can be computed using the formula C=4h+9f+4p, where his theof grams of carbohydrate contained in the serving, is the number of grams of fat contained in the serving, and is the number of grams of protein contained in the serving

A serving of a certain type of but contains 12 grams of fat, 6 grams of carbohydrate, and 5 grams of protein. How many calones are in this serving of ruts?

There are calories [___] in this serving of nuts

Answers

Answer:

152 calories

Step-by-step explanation:

The calories count, composition of carbohydrates, fat and protein are related by;

C = 4h + 9f + 4p

where C, h, f, and p have there given meaning.

Given that the serving of a type of nut contains; f = 12 grams, h = 6 grams and p = 5 grams, then;

C = 4(6) + 9(12) + 4(5)

= 24 + 108 + 20

= 152

C = 152 calories

Therefore, there are 152 calories in the serving of the certain type of nut.

Final answer:

The serving of nuts contains 152 calories.

Explanation:

To compute the calorie count for a serving of food, you can use the formula C = 4h + 9f + 4p, where C is the calorie count, h is the grams of carbohydrate, f is the grams of fat, and p is the grams of protein. In this case, the serving of nuts contains 12 grams of fat, 6 grams of carbohydrate, and 5 grams of protein. Plugging these values into the formula gives:

C = 4(6) + 9(12) + 4(5)

C = 24 + 108 + 20

C = 152

Therefore, there are 152 calories in this serving of nuts.

Learn more about Calorie count here:

brainly.com/question/34871431

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What is the solution to the system of equations? y=2/3x+3 x=-2

Answers

Answer:

$x=-2,y=(5)/(3)$

Step-by-step explanation:

The given system of equations is

$y=(2)/(3)x+3...(i)\n\nx=-2...(ii)$

Plugging the value of x from (ii) in equation (i) and find the value of y

$y=(2)/(3)*(-2)+3\n\ny=(-4)/(3)+3\n\ny=(5)/(3)$

Therefore, the solution of the system of equations is

$x=-2,y=(5)/(3)$

We are going to solve for x=-2, y=2/3x+3, y=2/3(-2)+3, y=5/3. Therefore, x=-2 and y=5/3

Mrs. Konings likes to eat Nerds (the candy, not her people). There are 1,000 Nerds in the box. The amount of Nerds left in the box decreases by a third each time she dumps out a portion. Let x represent the number of portions Mrs. Konings has taken and y represent the number of Nerds left in the box. Write an equation that represents the solution.

Answers

Answer:

$y-(1)/(3)+y=1000$

x=499.83

y=500.16

Step-by-step explanation:

We can solve this problem with a system of equations:

The total quantity of Nerds in the box:

$x+y=1000$ (1)

The amount of Nerds left in the box: $y$

The number of portions Mrs. Konings has taken: $x$

The amount of Nerds left in the box decreases by a third each time she dumps out a portion:

$x=y-(1)/(3)$ (2)

Substituting (2) in (1):

$y-(1)/(3)+y=1000$ (3) This is the equation

Let's find $y$ :

$y=(3001)/(6)=500.16$ (4)

Now let's find $x$ by substituting (4) in (2):

$x=500.16-(1)/(3)=499.83$ (5)

Answer:

she's my math teacher haha

Step-by-step explanation: :)

On the xy-plane, the graph of function f has x-intercepts at -3, -1, and 1. which of the following could define f?A) f(x)= (x-3)(x-1)(x+1)
B) f(x)=(x-3)(x-1)^2
C) f(x)=(x-1)(x+1)(x+3)
D) f(x)=(x+1)^2(x+3)

Answers

x intercept is when y=0
or f(x) = 0
set the f(x)'s to 0
your answer is C
x-1=0 x+1=0 x+3=0
so x= -3, -1, and 1

Final answer:

The function that defines f on the xy-plane with x-intercepts at -3, -1, and 1 is f(x)=(x+1)(x-1)(x+3), which is option C in the given options.

Explanation:

The question asks about a function on the xy-plane that has x-intercepts at -3, -1, and 1. The function's x-intercepts are the values of x where the function crosses or touches the x-axis, which means the function's value at that point (y) is zero. The general form of a polynomial that has roots (x-intercepts) at a, b, and c is given by f(x) = k(x - a)(x - b)(x - c) where k is a constant.

In this case the x-intercepts given are -3, -1, and 1, so we need to replace a with -3, b with -1 and c with 1 in the equation. so the correct function could be f(x) = k(x - (-3))(x - (-1))(x - 1). Simplifying this further gives f(x) = k(x + 3)(x + 1)(x - 1), which matches option C. Hence, option C is the equation that defines f.