MATHEMATICS HIGH SCHOOL

The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.

Answers

Answer 1

Answer:

Answer:

The remaining solution to the equation is x = 1

Step-by-step explanation:

2x^2 + x - 1 = 2

First set the equation to zero by subtracting 2 from each side:

2x^2 + x - 1 - 2 = 2 - 2

2x^2 + x - 3 = 0

Factor the left side of the equation:

2x^2 + x - 3 = 0

(2x + 3)(x - 1) = 0

Now set each factor to zero and solve:

2x+ 3 = 0

2x+ 3 - 3 = 0 - 3

2x= -3

2x/2= -3/2

x= -3/2 (The given expression)

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Since we already knew x = -3/2, the missing solution is x = 1.

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What is the value of 3.5(11)+1.9(11)+1.6(11)? a.40 b.77 c.4,096 d.9,317

Answers

3.5*11=38.5

1.9*11=20.9

1.6*11=17.6

38.5+20.9+17.6=77

the answer is C) 77

Answer:

Step-by-step explanation:

103 is 20% of what number

Answers

Use property of proportions:

103 ---------- 20%
x ---------- 100%

$x=(103*100)/(20)=(10300)/(20)=515$

So, 103 is 20% of 515

$x \cdot 20 \% =103 \n \n x\cdot (20)/(100)=103 \n \n (1)/(5)x=103 \ \ / \cdot 5\n\nx=515 \n \nAnswer: \ number \ is \ 515$

What is the length of AC ? Round to the nearest tenth.10.5 m
12.3 m
18.3 m
21.4 m

Answers

The length of AC is equal to 10.5m

Data;

AC = ?
BC = 15m
Angle = 55 degrees

Trigonometric Ratio

To solve this problem, we have to apply trigonometric ratioSOHCAHTOA here;

Since we have the value of opposite side, angle and we are looking for the adjacent, we can use tangent of the angle to find AC
$tan\theta = (opposite)/(adjacent)$

Let's substitute the values and solve for AC

$tan 55 = (15)/(AC) \nAC = (`15)/(tan55) \nAC = 10.5m$

From the calculations above, the length of AC is equal to 10.5m

Learn more on trigonometric ratio here;

brainly.com/question/24349828

In this right triangle, side AC is adjacent to the reference angle we were given. That's our unknown. The other side is the side opposite the reference angle, so we need a trig ratio that relates the side adjacent to the side opposite which is tangent. Setting up our ratio we have this: $tan(55)= (15)/(x)$ and $x= (15)/(tan(55))$ . Do that on your calculator to find that side AC (x) = 10.5, first choice above.

A plant for a tea company has bagging machines capable of bagging 1000 bags of tea per minute. If the plant runs 24 hours a day, how many tea bags are produced in one day? The company produces ? Tea bags in one day of operation.

Answers

the company produces 1440000 tea bags in one day

in a circle graph above you can see that 47 percent of the companys monthly income is used to pay the owners personal salary if the amount of the owners personal salary was 2,176.10 this month what was the companys total income this month

Answers

the first thing you have to do is to divide the personal income by the percen it takes up

2,176.10/47=46.3

that means that 46.3 is 1% of the whole, so if we multiply it by 100 you will get the whole

46.3*100=4630

so the answer is

4,630

The lines 3y-x=3 and y+3=3(x-1) are

Answers

lets change the form of the equations to the canonical line equation form:
y = mx + b

3y - x = 3
y = (1/3)x + 1

y + 3 = 3(x - 1)
y = 3x - 6

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