Solve the quadratic equation by completing the square.
x^2+ 4x -3=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
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Related Questions
1. A bag contains 10 blue marbles, 13 red marbles, and 23 green marbles. If
Carmen randomly selects one marble from the bag, what is the probability that
she will select a green marble?
Answer:
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Answer:
23/46 or 1/2
Step-by-step explanation:
10+23+13 = 46
23/46 = 1/2
Speed 65 kph; Time 4.5 hours; Distance ? ___ km
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Answer:
292.5 km
Step-by-step explanation:
You have to first do 65 x 4 = 260
Then 65/2 = 32.5
260 + 32.5 = 292.5
Answer = 292.5 km
Answer:
292.5 km
Step-by-step explanation:
65 x 4 = 260
65/2 = 32.5
260 + 32.5 = 292.5
Ans = 292.5 km
A graduate student believes that people consider faces with more contrast between eye color and skin tone as more feminine. He identifies the null and alternative hypotheses as:
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So in this case H(0) or null hypothesis is:
No difference in femininity based on contrast between eye color and skin tone.
Alternative hypothesis or H(a) basically contradicts that, so in this case:
There is observed difference in femininity based on contrast between eye color and skin tone.
What is the exact value of tan
(19pie/12)
Answers
Answer:
[tex]\displaystyle -\sqrt{3} - 2[/tex]
Explanation:
If you recall the unit circle [from the polar graph], you would have no trouble at all figuring this out, but sinse you have trouble, do not worry about it. So, here is what you should have realised:
[tex]\displaystyle \boxed{1\frac{1}{2}\pi} = \frac{18}{12}\pi[/tex]
If you did not notise, [tex]\displaystyle 1\frac{7}{12}\pi,[/tex]or [tex]\displaystyle \frac{19}{12}\pi,[/tex]is just [tex]\displaystyle \frac{\pi}{12}[/tex]more than [tex]\displaystyle 1\frac{1}{2}\pi,[/tex]which means the exact value will either be a radical, followed by an integer or just a radical. In this case, accourding to the unit circle, you will have a radical, followed by an integer, and that will be this:
[tex]\displaystyle \frac{sin\:1\frac{7}{12}\pi}{cos\: 1\frac{7}{12}\pi} = tan\:1\frac{7}{12}\pi \\ \\ \boxed{-\sqrt{3} - 2} = \frac{sin\:1\frac{7}{12}\pi}{cos\: 1\frac{7}{12}\pi}[/tex]
It is all about memorisation of the unit circle, which I know is difficult, but you will get used to it soon.
*Now, if you had to find [tex]\displaystyle cos\:\frac{7}{12}\pi,[/tex]then the exact value would be the OPPOCITE of the exact value of [tex]\displaystyle sin\:\frac{7}{12}\pi,[/tex]which is [tex]\displaystyle -\frac{\sqrt{2} + \sqrt{6}}{4},[/tex]because you would be crossing into the second quadrant where the x-coordinates are negative, accourding to both the cartesian and polar graphs. In addition, sinse you ALREADY have both values for sine and cosine [accourding to your PREVIOUS QUESTION ASKED], all you need to do is divide both values in the order given above to arrive at the exact value for [tex]\displaystyle tan\:1\frac{7}{12}\pi.[/tex]
I am joyous to assist you at any time.
please help me please
[tex] \frac{ {5}^{x + 3 } - 50 \times {5}^{x - 2} }{41 \times {5}^{x} } [/tex]
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Answer:
[tex] \frac{ {5}^{x + 3} - 50 \times {5}^{x - 2} }{41 \times {5}^{x} } \\ \\ \frac{ ({5}^{x} \times {5}^{3}) - 50 \times ( {5}^{x} \times {5}^{ - 2} )}{41 \times {5}^{x} } [/tex]
Divide the numerator and denominator ÷ 5^x
[tex] \frac{ {5}^{3} - 50 \times {5}^{ - 2} }{41} \\ \\ \frac{ {5}^{3} - 50 \times \frac{1}{ {5}^{2} } }{41 } \\ \\ \\ \frac{ {5}^{3} - \frac{50}{ {5}^{2} } }{41} \\ \\ \\ \frac{ {5}^{3} - \frac{50}{25} }{41} \\ \\ \\ \frac{ {5}^{3} - 2 }{41} \\ \\ \\ \frac{(5 \times 5 \times 5) - 2}{41} \\ \\ \\ \frac{125 - 2}{41} = \frac{123}{41} = 3[/tex]
What is the common ratio of the geometric sequence 9, 72,576, ...
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Answer:
Hello! The answer is 8 : 1
Step-by-step explanation:
9 x 8 = 72
72 x 8 = 576
There is a pattern here.
_AnnieTheDreamGirl, 3/9/2022
Because it is three-dimensional, a form has these three spatial measurements: height, width, and ________.
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Considering that it is a three-dimensional form, it's spatial measurements are height, width and length.
What are the measurements of a three-dimensional form?A two-dimensional form has two dimensions, width and length. When there are three dimensions, the height is added.
In this case, height and width are already listed, hence the length is missing.
More can be learned about three dimensional forms at https://brainly.com/question/17223528
Can someone who is good at math help me to do this
10 point
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Step-by-step explanation:
Range = Highest Value - Lowest Value
Range = 3686 - 31 = 3650 million
Mean = (803 + 487 + 348 + 3686 + 730 + 31) / 6 = 1,014.17
Median = 608.5
No mode
O 20 40 60 80100 5.) Jo-Bob took a math quiz and got 17 out of 25 questions correct. What percent of the questions did he answer correctly? What percent di he answer incorrectly?
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please help me i don’t understand this
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Answer:
[tex] \sin(47) = \frac{y}{5} \\ 0.7 \times 5 = y \\ y = 3.5[/tex]
[tex] {5}^{2} = {3.5}^{2} + y {}^{2} \\ \\ {x }^{2} = 25 - 12.25 \\ 12.75 \\ = 3.5[/tex]
Find the quotient. Write the answer in the simplest form (reduce)
36) 3/8 ÷ 3 /4 =
37) 3 /4 ÷ 12 =
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Keep the first fraction, change the sign (from divide to x) and flip the second fraction.
And then multiply across (the numerator x numerator and the denominator x denominator)
So
36) 3/8 x 4/3 = 12/24 = 1/2
37) 3/4 x 1/12 = 3/48 = 1/16
Hope this helps!!
Brainliest would be appreciated!!
What is the Value of f(6) if f(x)=2x-11
a. -3
b. -1
c. 1
d. 23
Ill give brainiest to anyone who can explain this to me. I have a test tomorrow and don't understand this specific type of problem
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f
o
g
(
x
)
=
−
2
x
+
23
and
g
o
f
(
x
)
=
−
2
x
+
5
Explanation:
f
(
x
)
=
−
2
x
+
11
g
(
x
)
=
x
−
6
f
o
g
(
x
)
=
f
(
g
(
x
)
)
=
f
(
x
−
6
)
=
−
2
(
x
−
6
)
+
11
=
−
2
x
+
12
+
11
=
−
2
x
+
23
g
o
f
(
x
)
=
g
(
f
(
x
)
)
=
g
(
−
2
x
+
11
)
=
−
2
x
+
11
−
6
=
−
2
x
+
5
I think that the equations speak by themselves.
Of course,
f
o
g
(
x
)
≠
g
o
f
(
x
)
Answer:
f(x)=2x-11
f(6)=2(6)-11
=12-11
=1
and the answer is c.
Explanation:
f(6) means you have to replace all x's in the function with 6.
For example, if the problem was asking you what is the value of f(10) you would have to replace all the x's in the respective function with 10 and so on.
Find the area of the figure.
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Answer:
Step-by-step explanation:
part one is -3 and 7
part two is -3
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Answer:
Given equation:
[tex]\sqrt{30-2x} =x-3[/tex]
Square both sides:
[tex]\implies (\sqrt{30-2x})^2 =(x-3)^2[/tex]
[tex]\implies 30-2x =(x-3)^2[/tex]
Expand the right side:
[tex]\implies 30-2x =x^2-6x+9[/tex]
Add [tex]2x[/tex] to both sides:
[tex]\implies 30 =x^2-4x+9[/tex]
Subtract 30 from both sides:
[tex]\implies x^2-4x-21=0[/tex]
Factor:
[tex]\implies (x-7)(x+3)=0[/tex]
Therefore,
[tex]x-7=0 \implies x =7[/tex]
[tex]x+3=0 \implies x=-3[/tex]
Substitute both values of [tex]x[/tex] into the original equation to check:
[tex]x=7 :[/tex]
[tex]\implies\sqrt{30-2(7)} =7-3[/tex]
[tex]\implies 4=4[/tex]
correct!
[tex]x=-3[/tex]
[tex]\implies\sqrt{30-2(-3)} =-3-3[/tex]
[tex]\implies 6 \neq =-6[/tex]
incorrect!
Therefore, [tex]x=7[/tex] is the only correct solution, and [tex]x=-3[/tex] is the extraneous solution
**Extraneous solution: a root of a transformed equation that is not a root of the original equation**
help me please.............
Answers
Answer:
Answers 1 and 3
Step-by-step explanation:
Substitute 10 for x and 5 for y in both equations and solve.
First equation:
2x - 5y = -5
2(10) - 5(5) = -5
20 - 25 = -5
-5 = -5
True statement
Second equation:
x + 2y = 10
10 + 2(5) = 10
10 + 10 = 10
20 = 10
Not a true statement
Find the height of a rectangle with an Area of 60 inches squared and a base of 12 inches
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Step-by-step explanation:
Area =L×B
when a=60 inches ^2
b- 12 inches
L =?
60= L× 12
L= 60/12
L= 5
What is Lashandra’s error?
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After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra's error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared.!!
1 + 1+ 1 + 1 + 2+ 3+3+4+4+4+5+5+5. What is the mode
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Answer:
1
Explanation:
1 is the mode due to the fact that it is repeated the most times out of all of the numbers in the expression that you gave (1 appears four times, whereas 2 only appears once, 3 only appears twice, 4 appears three times, and 5 also appears three times).
Two ordered pairs in the scatter plot are (10,50) and (25, 20). What is
the slope of the line through those two points?
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(y2-y1)/(x2-x1)
(20-50)/(25-10) = -30/15 = -2
Therefore, the slope would be -2.
One farmer has 119 sheep and another has 73. After they each sell the same number of sheep, one is left with three times as many sheep as the other. How many sheep did each sell?
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Answer:
119×3= 357
73×3= 219
357-219 =138
138÷3 =46.
please double check your answer if you're confused
Draw an example of line with a y-intercept of (0, 3).
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Answer:
You can draw any line basically as long as it hits the point (0,3) once and only once.
So linear line.
Draw a straight line from point (0,3) on a coordinate plane from any two points, as long as it hits (0,3)
For example yuou can graph (0,3) {must} and then you can graph like 1,2 or something and then you got a line that passes throguh (0,3) unless specified slope or otherwise
Answer:
y= 1x + 3
Picture as an example:
The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3. 14 for Pie
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Answer:
1436.03 cm^3
Step-by-step explanation:
Equation: V = 4/3(3.14)r^3
V=4/3(3.14)(7^3)
V=4/3(1077.02)
V=1436.03
Convert 8/20
to a decimal.
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40/100 = 0.4
What is the solution of x+4/2x-1 <0
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Answer:
Last one
Step-by-step explanation:
The average distance of the planet Neptune from the Sun is 3,000,000 % times the average distance of the Earth from the Sun.
What is this as a decimal?
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Answer:
3 x 10⁴ or 30,000
Step-by-step explanation:
Percentage to decimal conversion.
=> % / 100 = decimal
=> 3 x 10⁶ / 10²
=> 3 x 10⁴ or 30,000
Ms. Denson ordered a large pizza with a diameter of 12 inches. She shared half of the pizza with another teacher. How many square
inches did she keep? Leave in terms of Pi.
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Area of a circle = pi x r^2
Area of the pizza = pi x 6 ^2 = 36pi
half the pizza = 36pi/2 = 18 pi
answer: 18pi
Find the area of this figure
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Answer:
the answer is i dont know
Step-by-step explanation:
just pretend that this is answer
l//m idenify the angles that are congruent to 1
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100 POINTS!
Which of the following points is on the the line given by the equation
-2x + y = 7
A. (-2,11)
B. (2.11)
C. (7,0)
D. (1.5)
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Answer:
B
Step-by-step explanation:
Plug in coordinates to see if they match the answer.
It's easier in slope-intercept form, so lets change it first.
-2x+y=7
+2x +2x
y=2x+7
Now we can plug in the coordinates to see if they match.
Lets try A.
11=2(-2)+7
11=-4+7
11=3
A is incorrect.
Lets try B.
11=2(2)+7
11=4+7
11=11
B is a solution, therefore is on the graph.
A frozen yogurt shop typically sells the same number of kid cones as waffle cones. What is the probability that the next 6
customers order 2 kid cones and 4 waffle cones?
Round to the nearest whole