heya, first time asking a question, so this may be awkward, but can someone help me with this?
Answers
Step-by-step explanation:
1. completing the square
x² + 10x + ... = (x + a)² = x² + 2ax + a²
10 = 2a
a = 5
so,
x² + 10x + 10 = -22
is
(x + 5)² - 15 = -22
(x + 5)² = -7
x + 5 = i×sqrt(7)
the solutions are
x = i×sqrt(7) - 5
x = -i×sqrt(7) - 5
2. is easy via factoring
that means there has to be an easy way to define
x² + 3x - 40 = (x + a)(x + b)
remember,
(x + a)(x + b) = x² + (a+b)x + ab
since the constant term is -40, we know either a or b had to be negative (and the other positive).
a × b = -40
so, what factors deliver 40 ?
1×40
2×20
4×10
5×8
the x-term factor is 3.
so,
a + b = 3.
therefore, it must be the combination 8-5.
so, the factoring is
(x + 8)(x - 5) = 0
the solutions are therefore
x = -8
x = 5
3. quadratic formula
x² + 3x + 1 = 0
a = 1
b = 3
c = 1
x = (-b ± sqrt(b² - 4ac))/(2a)
x = (-3 ± sqrt(3² - 4×1×1))/(2×1) = (-3 ± sqrt(9 - 4))/2 =
= (-3 ± sqrt(5))/2
the solutions are
x = (-3 + sqrt(5))/2
x = (-3 - sqrt(5))/2
therefore
4. 2 non-real solutions (called also complex or irregular)
5. 2 rational solutions
6. 2 irrational solutions
Related Questions
Here are the approximate populations of three countries, expressed in scientific notation: Panama: 4 × 10 6 ; Peru: 3.2 × 10 7 ; Thailand: 7 × 10 7.
Decide what power of 10 to put on the label for the rightmost tick mark of this number line so that all three countries’ populations can be distinguished.
Answers
Using scientific notation, the power of 10 that should be put on the label is of [tex]10^7[/tex], hence x = 7.
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
In this problem, we don't want to increase the base values much. Panama's population can be represented as:
[tex]4 \times 10^6 = 0.4 \times 10^7[/tex]
Hence, the power of 10 that should be put on the label is of [tex]10^7[/tex], hence x = 7.
More can be learned about scientific notation at https://brainly.com/question/16394306
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if 60% of a number is 120 and 25% of the same number is 50 find 85% of that number
PLEASE HELP!
CORRECT= BRAINLIEST
Answers
Answer:
85% of 200 = 170
Step-by-step explanation:
Method
Let the number = x
60/100 * x = 120
0.6 x = 120 Divide by 0.6
0.6x/0.6 = 120/0.6
x = 200
25% x = 50 Convert 25% to a fraction
25/100 x = 50
0.25x = 50 Divide by 0.25
0.25x/0.25 = 50/0.25
x = 200
85% 200 = x Change 85% to a fraction
85/100 * 200 = x Multiply 85 and 200 together
17000 /100 = x Divide by 100
170 = x
Answer
85% of 200 = 170
Does anyone know the answer and how to get the answer ?
Answers
Answer:
3. [tex]384\ square\ inches[/tex]
Step-by-step explanation:
To solve this, find the areas of the smaller geometric shapes and add them together.
1. Rectangle (top)
[tex]A_1 = lw = 20 * 5 = 100[/tex]
2. Rectangle (middle)
[tex]A_2 = lw = 20 * 8 = 160[/tex]
3. Rectangle (bottom)
[tex]A_3 = lw = 20 * 5 = 100[/tex]
4. Triangle (left)
[tex]A_4 = \frac{bh}{2} = \frac{8*3}{2} = \frac{24}{2} = 12[/tex]
4. Triangle (right)
[tex]A_5 = \frac{bh}{2} = \frac{8*3}{2} = \frac{24}{2} = 12[/tex]
Add the areas together for the total surface area.
[tex]A_t = 100 + 160 + 100 + 12 + 12 = 384[/tex]
pls help ill give brainliest and 5 stars
Answers
Answer:
-3.75
-0.55
-0.5
-0.3
-0.2
Step-by-step explanation:
-3% = -0.3
-1/2 = -0.5
-1/5 = -0.2
-3.75
-0.55
i need help for brianliest
Answers
The points M(-7,2), N(-3,4), O(-5,8)M(−7,2),N(−3,4),O(−5,8), and P(-9,6)P(−9,6) form a quadrilateral. Find the desired slopes and lengths, then fill in the words that BEST identifies the type of quadrilateral.
Answers
The slope of line PO and MN is 0.5. And the slope of the line ON and MP is negative 2. Then each length of the quadrilateral is 4.47 units.
What is a quadrilateral?It is a quadrilateral with four sides. The total interior angle is 360 degrees.
The points M(−7,2), N(−3,4), O(−5,8), and P(−9,6) form a quadrilateral.
Then the slope of each line of the quadrilateral will be
The slope of the line PO will be
PO = (8-6)/(-5+9)
PO = 2/4
PO = 0.5
The slope of the line ON will be
ON = (8-4)/(-5+3)
ON = 4/(-2)
ON = -2
The slope of the line MN will be
MN = (4-2)/(-3+7)
MN = 2/4
MN = 0.5
The slope of the line MP will be
MP = (6-2)/(-9+7)
MP = 4/(-2)
MP = -2
Then each length of the quadrilateral will be
The length of PO will be
PO = √[(-9+5)² + (6-8)²]
PO = 4.47
The length of ON will be
ON = √[(-5+3)² + (8-4)²]
ON = 4.47
The length of MN will be
MN = √[(-3+7)² + (4-2)²]
MN = 4.47
The length of MP will be
MP = √[(-9+7)² + (6-2)²]
MP = 4.47
More about the quadrilateral link is given below.
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PLEASE HELP ASAP 100 POINTS BRAINLIST
uppose you toss a coin and then roll a number cube.
What is the sample space for the compound event?
Question 9 options:
H1 T1 H2 T2 H3 T3 H4 T4 H5 T5 H6 T6
TH1 TH2 TH3 TH4 TH5 TH6
H T 1 2 3 4 5 6
H1 T1 H6 T6
Answers
Two at once
So
Sample space for coin
{H,T}Sample space for cube
{1,2,3,4,5,6}Combine sample space
{H1,H2,H3,H4,H5,H6,T1,T2,TE,T4,T5,T6}Option A
Rosa has 15 yards of ribbon. She uses 8 feet of ribbon to tie gift bags. How many feet of ribbon are left?
Answers
The feet of ribbon Rosa left when she has 15 yards of ribbon and used 8 feet of ribbon to tie gift bags, is 7 feet.
What is the subtraction?Subtraction is the resultant number which is obtained by reducing a number with another. Let a number a is subtracted with the another number b. Then the subtraction of these two number will be,
[tex]D=a- b[/tex]
Here, (a, b) are the real numbers.
Rosa has 15 yards of ribbon. She uses 8 feet of ribbon to tie gift bags. Let suppose she has left n feet of ribbon. Thus,
[tex]n=15-8\\n=7[/tex]
Thus, the feet of ribbon Rosa left when she has 15 yards of ribbon and used 8 feet of ribbon to tie gift bags, is 7 feet.
Learn more about the subtraction here;
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Answer: Rosa has 5 feet left of her ribbon
Step-by-step explanation:
Please Help ASAP! What is the amplitude of the function graphed below?
Answers
Answer:
2
Step-by-step explanation:
To find the amplitude, find the distance between the the highest and lowest y value and divide it by 2.
[tex] | \frac{2 - ( - 2)}{2} | = 2[/tex]
The amplitude of the function is 2.
One group of friends, Lamoie, Shawn, and Colin, are all one year apart. Another group of friends, Conor
Jakeem, and Caleb, are two years apart. Conor is two years younger than Lamoie. Lamoie is the oldest of his
group. Caleb is the youngest of his group. Jakeem is older than Colin. Which boys are the same age? Explain
your thinking.
Answers
EXPLANATION:
Lamoie(oldest), shawn, colin
Conor(2 years younger), jakeem, caleb (youngest)
from here i gave them random ages starting at 12(age doesn’t matter because they would be the same age either way just because of the years apart). lamoie is the oldest, so going down from his group is 12,11,10.
conor is 2 years younger than him, so that makes him 10. and we know caleb is the youngest of his group, so going down my two is 10,8,6. conor is 10 and colin is 10.
The spinner below is spun 60 times.
Results are shown in the table
below.
Answers
Answer:
Step-by-step explanation:
Theortical probability
A = 1/4
B = 1/3
C = 5/12
Experamental probability
A = 18/60 = 3/10
B = 20/60 = 1/3
C = 22/60 = 11/30
help me please
Trina invests $ 16000 at a rate of 5% per year interest. Work out the value of her investment at the end of a year.
Answers
Answer:
16820.16 dollar.
Step-by-step explanation:
future =present value *(1+i)^n
n=1 year.
eight hundred sixty four minus three hundred three
Answers
I hope this helped
561+303=864
The probability that it will snow tomorrow is 20%. What are the odds in favour of snowing tomorrow?
A) 4 to 1
B) 1 to 5
C) 1 to 4
D) 5 to 1
Answers
please help me with this i’m lost
Answers
Answer:
2 is fuction
3 fuction
4 is not a fuction
5 not a fuction
6 is fuction
7 fuction
8 not a fuction
9 fuction
10 fuction
Step-by-step explanation:
the x's should not be repeated
What is the distance between (-13, 9) and (11, 2) on a coordinate grid?
Answers
Answer:
25Step-by-step explanation:
[tex]\text{distance} =\sqrt{\left( 11--13\right)^{2} +\left( 2-9\right)^{2} }[/tex]
[tex]=\sqrt{\left( 24\right)^{2} +\left( -7\right)^{2} }[/tex]
[tex]=\sqrt{576 +49 }[/tex]
[tex]=\sqrt{625 }[/tex]
[tex]=25[/tex]
Answer:
25
Step-by-step explanation:
A scale drawing for a rectangular parking lot measures 7 cm by 13. 3 cm. The scale is 1 cm : 25 m. Find the area of the parking lot
Answers
Answer:
58,187.5 m²
Step-by-step explanation:
1 cm : 25 m
7 cm = 25 × 7 m
7 × 25 = 175 m
13.3 × 25 = 332.5 m
area = 332.5 m × 175 m
sarah burned 280 calories running 20 minutes the next day sarah burned 490 calories for running 35 minutes write an equation that represents this relationship
Answers
Explanation:
The first day:
280/20= 14
Second day:
490/35= 14
That is how it does not change from day to day, the average is 14 calories per minute,therefore, the equation would be:
c= 14 * t
On a standardized exam, the scores are normally distributed with a mean of 21 and a
standard deviation of 4. find the z-score of a person who scored 13 on the exam.
Answers
The Z score is -2 if the standardized exam, the scores are normally distributed with a mean of 21 and a standard deviation of 4.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have:
u = 21
SD = 4
X = 13
[tex]\rm Z = \dfrac{13-21}{4}[/tex]
Z = -2
Thus, the Z score is -2 if the standardized exam, the scores are normally distributed with a mean of 21 and a standard deviation of 4.
Learn more about the normal distribution here:
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simplify........
[tex] {4x}^{2} {y}^{3} \times 3x {y}^{2} [/tex]
Answers
Answer:
12x^3y^5
Step-by-step explanation:
4x^2y^3 × 3xy^2 = 12x^3y^5
NEED THIS QUICK Karen earns $28,000 per year as a fashion consultant. She has personal exemptions that total $2,100. Use the table below to determine how much will be withheld annually for state income taxes.
Annual Gross Pay Tax Rate
First $1,000 1.5%
Next $2,000 3%
Next $2,000 4.5%
Over $5,000 5%
Karen earns $28,000 per year as a fashion consultant. She has personal exemptions that total $2,100. Use the table below to determine how much will be withheld annually for state income taxes.
Annual Gross Pay Tax Rate
First $1,000 1.5%
Next $2,000 3%
Next $2,000 4.5%
Over $5,000 5%
$1,460.00
$3,626.00
$1,210.00
$1,315.00
Answers
Answer:
$1,210
Step-by-step explanation:
$28,000 - $2,100 = $25,900
$25,900 - $5,000 = $20,900
1.5% × $1,000 = $15
3% × $2,000 = $60
4.5% × $2,000 = $90
5% × $20,900 = $1,045
$15 + $60 + $90 + $1,045 = $1,210
I really need help please
Answers
Answer:
what?
Step-by-step explanation:
The surn of the lengths of any two sides of a triangle is greater than the lengt of the third side what triangle inequality is being describre in the given statement?
Answers
Answer:
triangle inequality theorem
Step-by-step explanation:
the triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the third side
Tell whether the figure is a polygon. If it is a polygon,
classify it and tell whether it is convex or concave.
Answers
Answers:
Polygon? YesClassify: PentagonThe polygon is concave===================================================
Explanation:
The figure is a polygon because it's composed of straight lines only, and we have a closed loop (or enclosed area).
This is a pentagon since it has 5 sides
The pentagon is concave because of the angle kicked in up top that caves in, so to speak. This interior angle exceeds 180 degrees and is known as a reflex angle.
Here's another way to determine the figure is concave: It's possible to pick two points inside the polygon such that the segment formed between them crosses outside the boundaries. See the diagram below.
need help on this please
Answers
Step-by-step explanation:
the slope-intercept form is
y = ax + b
"a" is the slope (the slope is in all forms the factor of x). and "b" is the y-intercept (the y value when x = 0).
so the first equation is
y = -5x + b
b we get by using the point coordinates :
-22 = -5×5 + b = -25 + b
b = 3
so, the full equation is
y = -5x + 3
for the second equation we need to calculate the slope first. remember, it is the ratio "y coordinate change / x coordinate change" :
x changes by +1 (from -4 to -3).
y changes by +7 (from -2 to 5).
the slope is +7/+1 = 7/1 = 7.
the equation looks like
y = 7x + b
again, we use the coordinates of a point to get b. I picked (-4, -2) :
-2 = 7×-4 + b = -28 + b
b = 26
and the full equation is
y = 7x + 26
8) A rubber bouncy ball is dropped from a
height of 115.00 inches onto a hard flat
floor. After each bounce, the ball returns
to a height that is a constant percentage
less than the previous maximum height.
After the 19th bounce, the ball reaches a
maximum height of 3.34 inches. At what
percentage does the maximum ball height
reduce per bounce?
Answers
Answer: 1.8 or 180%
Step-by-step explanation:
The company plans to give away 750 hats. If you buy a ticket to the game, what is the probability that you
will receive a hat?
Answers
Answer: 750/500,000
Step-by-step explanation:
you get this because:
the company is giving out 750 hats and there are 500,000 people so you divided those numbers
Angle 1 is 127 degrees, what is the measure of angle 8?
Answers
Answer: imagine your teacher figuered out
Step-by-step explanation:
(PLEASE HELP)What is the surface area?
Answers
Answer:
it would be six square yards or add all the numbers and your total will be it
Step-by-step explanation:
HELP NEED NOWWWWW I WILL GIVE U BRAINLIEST
Answers
Heyo!
idqfxemo iis here to help!
The answer is...
A.
Hopefully, this helps you!!
idqfxemo~