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Misha Larkins [42]
2 years ago
15

2x^2+8x-3=-1 Solve by completing the square.

Mathematics
1 answer:
algol132 years ago
8 0

Answer:

step 1. Halve everything

x^2+ 4x - 0.5 = 0

step 2. Halve the coefficient of x so you can write down an equivalent for x² + 4 (that is, (x + 2)^2 - 4 )

(x + 2)² - 4.5 = 0

step 3. Isolate the squared term:

(x + 2)^2 = 4.5

step 4. Take square roots of both sides, recognising that a square root can be positive or negative:

x + 2 = ±√4.5

step 5. Make x explicitly

x = -2 ±√4.5

And there you are with two solutions.

Step-by-step explanation:

hope this helps if not let me know have a great day

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170 students or 85% of the students went to attend college what are the total number of students?
Westkost [7]

Answer:

200

Step-by-step explanation:

I think sorry if I am wrong

8 0
3 years ago
If A completes a particular work in 8 days and B the same work in 24 days. How many days will it take if they work together?
Oliga [24]
A:
1 day = 1/8 of work

B:
1 day = 1/24 of the work

Together:
 1 day = A + B = 1/8 + 1/24 = 4/24 = 1/6

1 day = 1/6 of work
1/6 x 6 of work = 1 x 6 days
work =  6 days 

7 0
4 years ago
According to the graph, what is the value of f (-1). Please respond answer with a numerical value.
Ivahew [28]

Answer: f(-1)=12

Step-by-step explanation:

By definition, a relation is a function if and only if each input value have only one output value.

It is important to remember that the input values are the values of "x" and the output values are the values of "y".

Observe in the graph given in the exercise that the function f(x) is linear.

So, f(-1) indicates that the input value (x-value) is:

x=-1

In order to find its output value you can draw a vertical line from  x=-1 to the line and, when it touches the line, you must draw an horizontal line to the y-axis (Observe the picture attached).

Therefore, you can identify that the output value for  x=-1 is:

y=12

Then:

f(-1)=12

8 0
4 years ago
( Fulcrum )
True [87]

Answer: distance 2 = 5 ft

<u>Step-by-step explanation:</u>

weight₁ x distance₁ = weight₂ x distance₂

  150    ×     15         =    450    ×    d₂

        2250              =           450d

                          5   =   d₂

3 0
3 years ago
Suppose you roll a fair, six-sided number cube.
Serga [27]

Answer:

Sample space= S= {1, 2, 3, 4, 5, 6}

One possible event is rolling an even number

probability (even number)=P\{2, 4, 6\} =\frac{3}{6}=\frac{1}{2}

Step-by-step explanation:

Sample Space

The simple space is the combination of all possible outcomes

so,

Sample space= S= {1, 2, 3, 4, 5, 6}

One possible event

One possible event is rolling an even number

Probability of that event

to find the probability of the event i.e. rolling an even number, we first find the sample for the event i.e. event space

event space={2, 4, 6}

Now,

probability (even number)=P\{2, 4, 6\} =\frac{3}{6}=\frac{1}{2}

5 0
4 years ago
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