Answer:
1)
C. − 1
D. 2
2)
A. Distribute 4 to the quantity ( x+1).
B. Add − 8 to each side of the equation.
D. Multiply each side of the equation by 2
E. Subtract 12 from each side of the equation.
3)
[tex]f(x)=(r-x-s)^2+(r+s)[/tex]
4) The population of the city in the year 2000 was 50000. The population is decreases by 0.95 each year
Step-by-step explanation:
a) Given an equation:
ax² + bx + c = 0
The equation would have imaginary solutions if b² - 4ac is negative. That is:
b² - 4ac < 0
Given an equation: 3x²+2kx+2=0
a) If k = -5
a= 3, b = 2k = 2 × -5 = -10, c= 2
b² - 4ac = (-10)² - 4(3)(2) = 76 > 0
It would not produce imaginary solutions
b) If k = -3
a= 3, b = 2k = 2 × -3 = -6, c= 2
b² - 4ac = (-6)² - 4(3)(2) = 12 > 0
It would not produce imaginary solutions
c) If k = -1
a= 3, b = 2k = 2 × -1 = -2, c= 2
b² - 4ac = (-1)² - 4(3)(2) = -23 < 0
It would produce imaginary solutions
d) If k = 2
a= 3, b = 2k = 2 × 2 = 4, c= 2
b² - 4ac = (4)² - 4(3)(2) = -8 <0
It would produce imaginary solutions
e) If k = 3
a= 3, b = 2k = 2 × 3 = 6, c= 2
b² - 4ac = (6)² - 4(3)(2) = 12 > 0
It would not produce imaginary solutions
f) If k = -5
a= 3, b = 2k = 2 × 4 = 8, c= 2
b² - 4ac = (8)² - 4(3)(2) = 40 > 0
It would not produce imaginary solutions
2)
A. Distribute 4 to the quantity ( x+1). to get:
1/2 x+12=8+4x+4
B. Add − 8 to each side of the equation. to get:
1/2 x+4=4( x+1)
C. Distribute 12 to the quantity ( x+1). This is not correct
D. Multiply each side of the equation by 2. to get:
x + 24 = 16 + 8(x +1)
F. Add together the 8 and the 4 on the right side of the equation. This is not correct
G. Multiply the left side of the equation by 2 to eliminate the fraction. This is not correct
3)
[tex]f(x)=x^2-2(r-s)x+(r-s)^2+(r+s)\\f(x)=x^2-2rx+2sx+r^2+s^2-2rs+r+s\\f(x)=x^2+r^2+s^2-2rs-2rx+2sx+r+s=(r-x-s)^2+(r+s)\\f(x)=(r-x-s)^2+(r+s)[/tex]
4) P( x )=50,000 ( 0.95 )^x, where x represents the number of years after the year 2000
At the year 2000, x = 0 therefore
[tex]P(x)=50000(0.95)^x=50000(0.95)^0=50000[/tex]
Since 0.95 is less than 1, it represent a population decay. 0.95 is the common ratio
The population is decreases by 0.95 each year
Please hurry
What is the slope of a line that is perpendicular to the graph of
y = 5/3x +8
Answer:
-3/5
Step-by-step explanation:
The slope of a perpendicular line is always the negative reciprocal of the slope of the original line.
1/(5/3) * - 1 = -3/5
The slope of the line that is perpendicular to the graph of y = 5/3 x + 8 is -3/5.
What is the Equation of line in Slope Intercept form?Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.
Given a line,
y = 5/3 x + 8
Comparing with the slope intercept form,
Slope of the given line = 5/3
Any line perpendicular to the given line has a slope which is the negative reciprocal.
Slope of the perpendicular line = -3/5
Hence the required slope is -3/5.
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1. f(x) = x(x-6)(x+3)
Answer:
x3squared-3x2squared-18x
Step-by-step explanation:
1 Expand by distributing terms.
({x}^{2}-6x)(x+3)(x
2
−6x)(x+3)
2 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
{x}^{3}+3{x}^{2}-6{x}^{2}-18xx
3
+3x
2
−6x
2
−18x
3 Collect like terms.
{x}^{3}+(3{x}^{2}-6{x}^{2})-18xx
3
+(3x
2
−6x
2
)−18x
4 Simplify.
{x}^{3}-3{x}^{2}-18xx
3
−3x
2
−18x
need help with B only
please help I will mark brainliest
A is 375mm
Answer:
7044.5 mm (Please don't be angry on me if I'm wrong, I apologize beforehand)
Step-by-step explanation:
if the upper bound varies from the median by 5, I guess that the lower also varies by 5
thus, 365 * 19.3
7044.5 mm
Please don't be angry on me if I'm wrong, I apologize beforehand
Solve the inequality for w.
49 > 41 +13
Answer:
greater than
Step-by-step explanation:
The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statement can be made from the diagram?
Answer:the third one shows parallel lines cut by a transversal
Step-by-step explanation:
Answer:
B. m Angle A + 60° + 55° = 180°
Step-by-step explanation:
POGGERS
What is the measure of BPU?
os
60
P
40
.
O A. 100
O B. 40
O C. 80°
O D. 60°
Answer:
80°
Step-by-step explanation:
SPO+OPA+APC= 180°
(Angles on a straight line sum up to 180)
60+OPA+40=180
OPA=180-100
=80°
So, BPU is also 80°
(Vertically opposite angles are always equal)
Answer:
80⁰
Step-by-step explanation:
SPU = CPR = 40⁰ ( vertically opposite)
BPU + 40 + 60 = 180⁰ (straight line angle)
BPU = 180 - 100
BPU = 80⁰
does anyone know the answer to this ?
Answer:
1595 ft^2
Step-by-step explanation:
The answer is obtained by adding the areas of sectors of several circles.
1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.
2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.
3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.
The area is the sum of the areas described above in numbers 1., 2., and 3.
total area = area 1 + area 2 + area 3
area of circle = (pi)r^2
total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2
total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2
total area = 1595.34 ft^2
How many square feet of outdoor carpet will we need for this whole?
Answer:
44 ft^2
Step-by-step explanation:
Find the area of the whole rectangle first, and then subtract the area of the small black rectangle:
(12 ft)(4 ft) - (2 ft)(2 ft) =
48 ft^2 - 4 ft^2
44 ft^2 (answer)
A triangle is shown with its exterior angles. Angles 2, 6, and 4 are the interior angles. Angle 1 is the exterior angle at angle 2. Angle 5 is the exterior angle at angle 6. Angle 3 is the exterior angle at angle 4.
Which statements are always true regarding the diagram? Check all that apply.
m∠3 + m∠4 = 180°
m∠2 + m∠4 + m∠6 = 180°
m∠2 + m∠4 = m∠5
m∠1 + m∠2 = 90°
m∠4 + m∠6 = m∠2
m∠2 + m∠6 = m∠5
Answer the first three
Step-by-step explanation:
I Did it
Answer:
a,b,c
Step-by-step explanation:
a) m∠3 + m∠4 = 180°
b) m∠2 + m∠4 + m∠6 = 180°
c) m∠2 + m∠4 = m∠5
these are the correct answers for edge 2020 geometry assignment; Triangle Angle Theorems
hope this helps!
WILL GIVE BRAINLIEST ASAP NEEDED PLS ANSWER HELP
You need to create a fenced Off region of Land for cattle to graze. The grazing area must be a total of 500 square feet surrounded by a fence and in the shape of a regular polygon within this grazing area the length of the apothem must be 10 feet long.
Part. 1 find the total perimeter of the grazing area
Part 2. if the cost of the fence is $7.95 per linear foot how much will it cost to place a fence around the entire grazing area?
Part 3 - suppose this grazing area is 1/60 of an industrial grazing area for major industry farm. What is the total cost to build a fence around the entire land of the large scaled farm
Use property of proportions
show all work
Answer:
$47,520
Step-by-step explanation:
A.
the area of a polygon is/
A= perimeter X apothem /2
A=500
apothem = 10
500 = (P * 10)/2
P =100
B. 100*7.95 = $795
C.
60*100= 6,000
6,000 * $7.95=
$47,520
two similar bags contain the same number of red and blue balls
Sammy takes the first bag and he replaces 5 blue balls by 5 red balls. now the number of Red Balls is twice the number of blue balls
Rami holds the second bag and he takes 3 red balls from it now the number of the blue balls is twice the number of the red balls
designate by x the number of Red Ball and y the numbers of Blue Balls
(x and y are positive integers)
the system that models the text given above is:
a. x-2y=5
2x-y=6
b. x-2y=-15
2x-y=6
c. x-2y=-15
2x-y=-3
sove for x: -3x+2z=5
Answer:
x = -(5-2z)/3
Step-by-step explanation:
-3x+2z=5
Subtract 2z from each side
-3x+2z-2z=5-2z
-3x = 5-2z
Divide each side by -3
-3x/-3 = (5-2z)/-3
x = (5-2z)/-3
Answer:
x = 2 / 3z - 1 and 2 / 3
Step-by-step explanation:
Consider the steps below;
[tex]- 3x + 2z = 5 - Subtract 2z From Either Side of Equation,\\- 3x = 5 - 2z - Take - 3 Divided on Either Side,\\\\x = ( - 5 / 3 ) + 2 / 3z - ( Simplify ),\\x = - 1 \frac{ 2 }{ 3 } + 2 / 3z - Re - arrange,\\x = \frac{ 2 }{ 3 } z - 1 \frac{ 2 }{ 3 } \\\\Conclusion ; ( x = \frac{ 2 }{ 3 } z - 1 \frac{ 2 }{ 3 } )[/tex]
Solution ; x = 2 / 3z - 1 and 2 / 3
A prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs. What is the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD? Express your answer in decimal form, rounded to the nearest hundredth.
Answer:
It is actually 0.07 on edge
Step-by-step explanation:
Got it right
The probability of pulling a classic rock CD is 0.71 and then without replacement probability of pulling Country side CD is 4.
What is Probability?Probability is the chance that something will happen, or how likely it is that an event will occur.
Formula for the calculation of probabilityProbability of an event to happen = [tex]\frac{number of favorable outcomes }{total number of outcomes}[/tex]
According to the given question
we have
a bag which contains ,
country music CDs = 4
pop music CDs = 8
classic rock CDs = 5
total number of CDs = 4+8+5 =17
probability of pulling a classic rock CD = [tex]\frac{5}{17}[/tex] =0.71
without replacing
total number of CDs left = 17-1 =16
probability of pulling a country music CD =[tex]\frac{4}{16}[/tex]=4
Hence, the probability of pulling a "classic rock CD" is 0.71 and then without replacing probability of pulling "country music CD" is 4
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Plz help asap, dhdhhsbdhd
Answer: The answer is 10. X = 10.
Step-by-step explanation:
Answer:
[tex]x = 60 \: \: degrees[/tex]
Step-by-step explanation:
[tex]2x + 5 + x - 5 = 180 \\ 3x = 180 \\ \frac{3x}{3} = \frac{180}{3} \\ x = 60 \: \: degrees[/tex]
(sum of the Co- interior angles = 180 degrees)
hope this helps
brainliest appreciated
good luck! have a nice day!
Please help me I don’t understand
Answer:
B
Step-by-step explanation:
LIST ALL THE NUMBER IN THE BOX PLOT
hope this helps:)
Given the equation (x + 3) ^ 2 + y ^ 2 = 81 choose ALL correct answers
1.The center of the circle would lie on the x-axis.
2. The center of the circle would lie on the y-axis.
3.The center of the circle would lie in a quadrant.
4. The radius is 9
5. The radius is 40.5
6.The radius is 81
7. The diameter is 18
8.The diameter is 81
9. The diameter is 162 Help please
Answer:
The equation of a circle having the center (a, b) and radius r could be formulated by:
(x - a)^2 + (y - b)^2 = r^2
A circle, which has equation form: (x + 3) ^ 2 + y ^ 2 = 81, can be turned into:
(x - -3)^2 + (y - 0)^2 = 9^2
=> center (-3, 0)
=> radius = 9
=> Option 1 is correct
=> Option 4 is correct
=> Option 7 is correct
Hope this helps!
:)
what us the length of AC?
PLEASE HELP?
Suppose the sphere below with radius r has a surface area equal to 50 units². find the surface area of the sphere with twice the radius.
Answer:
[tex]200$ unit^2[/tex]
Step-by-step explanation:
Surface Area of a Sphere[tex]=4\pi r^2[/tex]
Given that the surface area of a sphere is 50 units².
Then:
[tex]4\pi r^2 =50\\r^2=\dfrac{50}{4\pi}\\ r=\sqrt{\dfrac{50}{4\pi}}[/tex]
If a sphere has twice the radius of the sphere above
Its radius, [tex]r=2\sqrt{\dfrac{50}{4\pi}}[/tex]
Therefore its Surface Area
[tex]=4\pi\left(2\sqrt{\dfrac{50}{4\pi}}\right)^2\\=4\pi*4*\dfrac{50}{4\pi}}\\\\=200 unit^2[/tex]
Yolanda participated in a walkathon in which each kilometer walked raised $10 for charity. Her goal was to raise more than $300 on Saturday and Sunday. She raised $50 on Saturday. Which graph show all the distances, in kilometers, that Yolanda could have waled on Sunday to reach her goal?
Answer:
Step-by-step explanation:
C
Nico and Albert are finishing up a science project. They measured the length in inches of three insects. They also found the average measurement of two more insects from a website.
Answer:
FIRST COMPLETE THE QUESTION
Nico and Albert are finishing up a science project. Tjeu measured the length in inches of three insects. They also found the average measurement of two more insects from a website. CONSIDERING THE DATA GIVEN (SEE ATTACHMENT BELOW), DETERMINE THE LISTS OF LENGTHS FROM SHORTEST TO LONGEST.
The list of lengths from shortest to longest is:
0.2 , 1/4 , 3/8 , 0.8 , 7/8
Step-by-step explanation:
Nico and Albert measures the length in inches of 3 insects i.
They also found the averages measurement of length of 2 more insects.
Now they have a total data which shows the data of 5 insects.
The data of 5 insects is given below:
3/8 = 0.375
1/4 = 0.25
7/8 = 0.875
0.8
0.2
The list is formed as follows:
0.2 , 0.25 , 0.375 , 0.8 , 0.875
or
0.2 , 1/4 , 3/8 , 0.8 , 7/8
Answer:
A
Step-by-step explanation:
A parabola, with a vertex at (−4, 32), is defined by f(x)=−x2+bx+c (where b and c are some numbers). f(x) and g(x) - its reflection about the origin, are defined for values of x such that f(x)≥0 and g(x)≤0. Find the intersection of the domains of the two functions.
Answer:
2 and 16
Step-by-step explanation:
Jacob's little brother thinks that he could design a better lion enclosure than the one he sees at the zoo. He makes a drawing of his new and improved enclosure where every inch represents 25 feet. In his drawing the length of the rectangle is 7 ¼ inches. What is the actual length of the lion enclosure? The diagonal of the rectangle in his drawing is 10 ½ inches. What is the width of the enclosure in feet? What is the area of the enclosure in square feet?
Answer:
Step-by-step explanation:
Length
1 inch = 25 feet
7 1/4 inches = x feet
1 * x = 25 * 7 1/4
x = 25 * 7.25
Length = 181.25 feet
The length is 181.25
hypotenuse length
The diagonal = 10 1/2 inches
The diagonal = 10.5 inches
hypotenuse = 10.5 * 25 = 262.5 feet
Width
L^2 + W^2 = Diagonal^2
181.25² + W² = 262.5²
32851.5625 + W² = 68906.25 Subtract 32851.5625 from both sides
W² = 68906.25 - 32851.5625
W^2 = 36054.6875 Take the square root of both sides
W = 189.88
Area
Area = L * W
Area = 181.25 * 189.88
Area = 34415.88 square feet.
814 g O 8.14 kg
compare! PLS HELP BEST GETS BRAINLESST AND FOLLOW
Parallelogram EFGH has vertices at E(1,3), F(0,2), G(4,0), and H(5,1). How many units is the perimeter of parallelogram EFGH?
Answer:
the answer wold be 10.129
Step-by-step explanation:
Perimeter of the parallelogram EFGH is 11.76 units
What is Perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
What is Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides.
Given,
The coordinates of the parallelogram = E(1,3), F(0,2), G(4,0) and H(5,1)
We know that,
In parallelogram EF=HG and EH=FG
Perimeter of the Parallelogram = 2(a + b)
Distance between EF = a = [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]
[tex]=\sqrt{(0-1)^{2} +(2-3)^{2} }\\=\sqrt{1+1} \\=\sqrt{2}[/tex]
a =1.41 units
Distance between EH = b =[tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]
[tex]=\sqrt{(5-1)^{2} +(1-3)^{2} }\\=\sqrt{16+4} \\=\sqrt{20}[/tex]
b =4.47 units
Perimeter of the Parallelogram = 2(a + b)
=2(1.41+4.47)
=11.76 units
Hence, the Perimeter of the Parallelogram EFGH is 11.76 units
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Determine if sides of length 5 mm, 14 mm and 19 mm can form a triangle.
Answer:
no
Step-by-step explanation:
The third side has to be shorter than the sum of the other two sides
5+14 = 19
It is equal so they cannot form a triangle
Mom and her siblings have inherited a 30000 (Square miles) of land. She has 9 sisters and 3 brothers. Each brother has inherited double what each sister has inherited. How many (Square miles) of land mom has inherited?
Answer:
1875 square miles
Step-by-step explanation:
There are a total of 10 women and 3 men. Let's define two variables:
w: land inherited by a womanm: land inherited by a manGiven that they inherited a 30000 (square miles) of land and that each brother has inherited double what each sister has inherited, we can establish the next equations:
2*w = m
10*w + 3*m = 30000
Replacing the first equation into the second one, and solving for w:
10*w + 3*2*w = 30000
16*w = 30000
w = 30000/16
w = 1875 square miles
Your mom, and all of her sisters, inherited 1875 square miles each
Choose the slope and y intercept that correspond with the graph
Answer:
slope=2/3 y-intercept is 1
Answer:
Slope: 2/3 y-intercept: 1
Step-by-step explanation:
The graph crosses the y-axis at 1 and goes right 3 and up 2. slope is rise over run so it rises 2 and runs 3.
Please I need help with this ASAp...Thanks and will give you brainlist...
Answer:
Supplier A.
The mean is 67.28
A slide that Baker Park has a height of 10 feet and is 15 feet long. How high are you off the ground when you are 6 feet down the slide
Answer:
4 ft
Step-by-step explanation:
just look at the length of the slide and substract it.
10-6=4
Answer:
4ft would be the answer to your question.
Q10 A student wants to raise £100 for charity.
He will sell hot dogs at a disco.
The Supermarket
He will make 150 hot dogs.
Hot dog sausages tin of 8 50p
Hot dog buns packet of 6 90p
He buys ingredients at The Supermarket
If he sells all the hot dogs, what is the minimum price he must charge to make a profit of £100?
Show all your working
Answer:
He must charge minimum £0.84 for one hot dog.
Step-by-step explanation:
Ingredients cost for hot dogs at the supermarket,
Price of dog sausages tin of 8 = 50p ≈ £0.5
Price of dog bun packs of 6 = 90p ≈ £0.90
Number of tins required for 150 hot dogs = [tex]\frac{150}{8}[/tex] = 6.25
So student will purchase 7 tins.
Cost of 7 tins = 7 × 0.5
= £3.5
Number of dog buns packets required = [tex]\frac{150}{6}[/tex] = 25
Cost of 25 packs = 25 × 0.9
= £22.5
Total cost of the material used for 150 buns = 22.5 + 3.5
= £26.0
Let the selling price of each hot dog = £x
Then selling price of 150 hot dogs = £150x
Students wants the profit = £100
So, Selling price - Cost price = profit
150x - 26 = 100
150x = 126
x = [tex]\frac{126}{150}[/tex]
x = £0.84
Therefore, he must charge minimum £0.84 for one hot dog.