Answer:
4. (x+3)^2 =16
Step-by-step explanation:
Rewrite x^2 +6x -7 = 0 in quadratic form by compliting the square
x^2 +6x = 7 divide 6 by 2 ans square so 6/2 = 3, [tex]3^{2} = 9[/tex] add 9 on each side
x^2 +6x +9 = 7+9 =16 remember that [tex](a + b)^{2} = a^{2} +2ab + b^{2}[/tex]
[tex](x +3)^{2} = 16[/tex]
use this site if it helps for your question desmos.com
8. Find the volume of the cylinder. Round to the
nearest tenth.
6 cm
3 cm
Answer:
339.3 cm^3
Step-by-step explanation:
V=πr2h=π·62·3≈339.29201
which statements are true fir the following expression (10-2)×(8+7)
Answer:
(8)x(15)= 120
Step-by-step explanation:
Answer:
Step-by-step explanation:
(10-2)×(8+7) can be simplified to (8) × (15) = 120.
Another way of doing this problem is to apply the distributive property:
(10-2)×(8+7) = 80 + 70 - 16 - 14 = 150 - 30 = 120
Which equation has a constant of proportionality equally to 2? PLS HELP I WILL MARK AS BRAINLIEST
Hello there!
A would be the correct answer since 10 divided by 5 equals 2 and so it would be 2x.
B is wrong since it has a constant of proportionality equal to 1.
C is wrong since it has a constant of proportionality equal to 1/2.
D is wrong since it has a constant of proportionality equal to 11.
Answer:
A
Step-by-step explanation:
The equation of proportional quantities is
y = kx ← k is the constant of proportionality
A
y = [tex]\frac{10}{5}[/tex] x = 2x ← with k = 2
B
y = [tex]\frac{2}{2}[/tex] x = x ← with k = 1
C
y = [tex]\frac{2}{4}[/tex] x = [tex]\frac{1}{2}[/tex] x ← with k = [tex]\frac{1}{2}[/tex]
D
y = [tex]\frac{22}{2}[/tex] x = 11x ← with k = 11
Thus A is the required equation
Tom found out that 3 L of fruit punch serves 8 people. He wants to make enough for 48 people. How many liters of punch does he need
Answer:
18
Step-by-step explanation:
Use a proportion
[tex]\frac{3}{8}[/tex]=[tex]\frac{x}{48}[/tex]
8*6=48
So if we multiply 3*6, we get how many liters it takes to serve 48 people
3*6=18
The answer would be 18 L
You do this by doing 48/8= 6
The reason you do 48 / 8 is because you you want to find out how many liters you need so if a 3L serves 8 people you would have to divid 48 into 8. (hope that makes since)
6 x 3 = 18L
Then take the 6 and times that by the 3 getting a total of 18 liters
(Hope this makes since :D)
Solve for x.
x² = 36
A)+36
B)+6
C)+3
D)36
Answer:
B
Step-by-step explanation:
Square root both sides and you get x = plus or minus 6, because 6*6 = 36 or -6*-6 = 36.
Please give me the answer
Answer:
52
Step-by-step explanation:
sorry if it's wrong
What is the value of y?
Answer:
2nd answer : 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
144-36=108
[tex]\sqrt{108)=[/tex] 6[tex]\sqrt{3}[/tex]
Hi!
Got a question!
The question is: Find the volume of the shape above(if youre using the app) or below ( if you are using the website ).
Thanks !!
Answer:
404.09x cm³ (to 5 s.f.),
where x is the unknown height of the shape.
Step-by-step explanation:
Volume of the shape
= base area × height
= (large semicircle- small semicircle) × thickness of shape
Area of circle= [tex]\pi {r}^{2} [/tex]
Area of semicircle= [tex] \frac{1}{2} (\pi)( {r}^{2} )[/tex]
Diameter of small circle= 14
Radius= diameter ÷2
radius= 14 ÷2
radius = 7 cm
Area of small semicircle
[tex] = \frac{1}{2} (\pi)( {7}^{2} ) \\ = \frac{49}{2} \pi[/tex]
Radius of large semicircle
= 35 ÷2
= 17.5 cm
Area of large semicircle
[tex] = \frac{1}{2} (\pi)( {17.5}^{2} ) \\ = \frac{1225}{8} \pi[/tex]
Base area of shape
[tex] = \frac{1225}{8}\pi - \frac{49}{2} \pi \\ = \frac{1029}{8} \pi[/tex]
Since the height if the shape is not given, I'm afraid I cant help you find the volume.
Let the height of the shape be x cm.
Volume of shape= [tex] \frac{1029x}{8} \pi \: cm^{3} [/tex]
The answer in the pic is what I got... Is it right?
Answer:
Yep!
Step-by-step explanation:
Help me with part B and C appease!! No clowning around whoever help me, will get 30 points and I will brainliest you!!! <3 please help!!
Answer:
Step-by-step explanation:
a.
y=0.75x
y-y1=(y2-y1)/(x2-x1)×(x-x1)
y-3=(6-3)/(8-4) (x-4)
y-3=3/4(x-4)
y-3=3/4 x-3
y=3/4 x-3+3
y=3/4 x
if y=f(x)
f(x)=0.75x
c.
f(12)=0.75×12=9$
Monte's Autorana is having an end-of-year clearance in which the TV ads proclaim that
all cars are sold at 5% markup over the dealer's cost. Monte has a new Exfinity for sale
for $18,970. On the Internet, you find out that this particular model has a dealer cost of
$17,500. Is Monte being honest in his advertising?
Answer:
No
Step-by-step explanation:
We first write out $17,500 as a multiplication to 5%
New price = 17500 x 1.05 = 18375 = $18,375
18375-17500 = 875
We then work out the tax on just the mark up of $875 increase
20% mark up = 875 x 0.20 = 175
18.375+175 = 18550
= $18,550 charge to be considered for 5%
However Monte would argue that tax on tax also applies to 875 x 1.20 = 1050
=$1050 and he is just asking to meet half tax costs an extra 10% of his own tax back of 17.500 x 20% that he paid = 17500 x 0.20 = 3500
tax he paid inclusive or non inclusive would be the same.
= $3500
10% of this = 3500 x 0.10 = 350
18550+350 = 18,900
Therefore it is not dishonest if mentioned in the terms and conditions.
We also universally can round 5% up by applying other charges to include promotion costs and even apply more for administration costs.
The 7 dwarves only have 4 beds, so 3 dwarves sleep on the floor. How many different ways can 4 dwarves be chosen to sleep on the beds?
Answer:
whoever the smallest dwarves are
Step-by-step explanation:
the smaller you are, the more of a dwarf you are
Answer: I'm not positive but the answer may be 28
Step-by-step explanation: 7 dwarves x 4 beds = 28 possibilities
Need some help please :)
Simone claims the initial value and y-intercept are the same thing on a graph. Is she correct?
Answer:
yeah she is
in y = m*x + b
b is the initial value or the y-intercept.
Step-by-step explanation:
I need help very bad please!!!!!
Answer:
It is also B again. Your welcome
Answer:
It is B
Step-by-step explanation:
find the vertical asymptote(s) of the function
Answer:
x = -1 and x = 4
Step-by-step explanation:
Find the area and circumference of the circle shown
on the right. The radius is measured in inches.
Area =
Circumference =
Use the quadratic formula to find the solutions to the quadratic equation
below
3x2 - 5x + 4 = 0
Answer:
[tex]x \in \varnothing[/tex]
Step-by-step explanation:
[tex]3x^{2} -5x+4=0\\ \Delta = \frac{-5^{2\pm \sqrt{5x^{2} -48} } }{6} =\frac{25\pm \sqrt{-23}}{6} \\ \Rightarrow x \in \varnothing \:(can't\: take\: square\: root\: of\: negative\: number)[/tex]
please help ASAP will give brainiest :)
find the third angle of a triangle it two of the angles measure 29 degrees and 87 degrees? A) 58 B)64 C) 93 D)116
Answer:
64 degrees
Step-by-step explanation:
Angles in a triangle add up to 180
87 + 29 = 116
Final angle must be 180 - 116 = 64
Answer:
Hello,
B) 64
Step-by-step explanation:
29 + 87 + X = 180
X = 180 - 29 - 87 = 180 - 116 = 64
What is the y-value when x equals - 13?
y = - 160 - 9(x)
You're studying different function tools
and begin working with this function:
y = -160 - 9(x)
Enter the correct answer.
DONE
Use the equation to answer the question.
y = -160 - 9(x)
ĐOO
Answer: y= -277
Step-by-step explanation:
First substitute x for 13
y= -160- 9(13)
Then multiply -9 and 13
y= -160 -117
y= -277
Answer:
-43
Step-by-step explanation:
-160-9(-13)
-160-(-117)
-160+117
-43
Can someone help me with this?
Answer:
7
Step-by-step explanation:
Calculate and sum up the first three terms.
We get:
4[ (1/2)^(1-1) + (1/2)^(2-1) + (1/2)^(3 - 1) ], OR
4[ 1 + (1/2) + (1/2)^2 ], or
4[1 + 1/2 + 1/4} = 4[7/4] = 7
Please answer quickly. I really need help!!!
Answer:
1/8
Step-by-step explanation:
3/8-1/4
1/4= 2/8 ( multiply numerator and denominator by 2)
3/8-2/8
3-2= 1
1/8
Nevaeh's coffee shop starts the day with $50 in the cash register. The shop earns $25 each hour for the 8 hours it is open. Using a linear model, Nevaeh records the total amount of money, y, in dollars, in theregister xhours after the shop opens. Use this information to answer any questions that follow. What does the y-intercept of Nevaeh's model represent?
A. The amount of money in the register at the start of the day.
B. The total amount of money in the register at the end of the day.
C. The amount of money the shop earns each hour it is open.
D. The total amount of money in the register 1 hour after the shop opens.
Answer:
b
Step-by-step explanation:
I need help for a project! What would the variables be defined as!?
Marvin burned 8 calories per minute on a treadmill and 10 calories
per minute on an elliptical trainer for a total of 560 calories in 60
minutes. Write and solve a system of linear equations to determine
how many minutes he spent on each machine.
2 1/5x * 1 7/10 y * 4 3/5 x 1 7/10 (* 7 4/50)
Finds the answer
10 6/50x * 7 41/50y (* 7/4/50) = 56
79 13/100 (* 7 4/50) = 56
560 = 56 (10x)
x = 5 6/10
7 (y) = 56 (7y)
8 = 56/7 (y)
y = 8
x = 5 6/10
6/10 of 560 = 336
336/60 = x
336/60 = 5 6/10
Which curve shows an exponential function of the form y-ab^x?
A)
B)
C)
D)
Answer: A
Step-by-step explanation:
Help please this is due in 3 hours
Answer:
B. (1,0) (2,0) (3,0)
C. (0,4) (0,-4) (6,0)
Step-by-step explanation:
Letter b is asking for points inside of the shaded portion, and letter c is asking for the points that make up the triangle.
Somebody help #9 geometry
Answer:
[tex]41.1units^2[/tex]
Step-by-step explanation:
[tex]A=\frac{h_{b}b }{2} \\=\frac{8*4}{2} \\=16units^2[/tex](triangle)
[tex]A=\frac{\pi r^2}{2}\\\frac{\pi 4^2}{2}\\=25.13units^2[/tex](semicircle)
Add both together
[tex]16+25.13\\=41.13units^2[/tex]
someone please help me!!!!
Answer:
Choice 3
Step-by-step explanation:
it’s the one that makes more sense!
Answer:
5m=3890
Step-by-step explanation:
5/3890 = 778
then check if its right
5*778 = 3890
(m=778)
Find the y-intercept of the function represented by the graph.
Answer:
sqroot(9) - 7 = -4
sqroot(10) - 7 = -3.838
sqroot(11) - 7 = -3.683
sqroot(12) - 7 = -3.536
It isd not equal to -4 but pretty close so I am thinking that B is the right choice.
Answer is B
Step-by-step explanation:
Estimate 782 divided by 50.
Answer: 15.64 in exact form, and 16 as an estimate.
Work out the simultaneous equation. Work out the value of x and y
6x+5y=4.5
3x-2y=9
Answer: (x,y) = (2, -1.5)
Step-by-step explanation:
6x + 5y = 4.5
y = 3+2/3y
= 6 (3+2/3y) +5y = 4.5
y = -1.5
For x, x = 3 + 2/3 (-1.5)
x = 2