Answer:
A
Step-by-step explanation:
Remember that the x-value of the vertex when an equation is given in standard form can be found with the equation [tex]\frac{-b}{2a}[/tex]. So, we can take the coefficients from the equation and plug them in.
[tex]\frac{-b}{2a} \\\frac{-(-16)}{2(1)}\\\\\frac{16}{2}\\\\8[/tex]
Now we know that the x-value of the vertex is 8. Next, the equation for the y-value is [tex]c-ah^2[/tex], where h is the x-value of the vertex (8).
[tex](63)-(1)(8)^2\\63-64\\-1[/tex]
So the vertex is (8,-1).
Finally, the axis of symmetry is the x-value of the vertex, also called h.
Final answer, vertex: (8,-1) and axis of symmetry: x=8
Hope this helps!
Hailey makes and sells scarves next week she will pay a 25$ fee for the use of a booth at a craft fair. She will charge 12$ for each scarf she sells at the fair. Write an expression to determine
Answer:
12x=25
Step-by-step explanation:
There are 4 colors of Starburst flavors: yellow, pink, red, and orange. If the probability of getting an orange is 2 5 2 5 , yellow is 1 10 1 10 , and the probability of getting red is 3 10 3 10 , what is the probability of getting pink?
Answer: 1/5
Step-by-step explanation:
From the question, we are informed that there are 4 colors of Starburst flavors: yellow, pink, red, and orange. We are further told that the probability of getting an orange is 2/5, yellow is 1/10 , and red is 3/10.
The probability of getting pink would be:
= 1 - [P(orange) + P(yellow) + P(red)]
= 1 - (2/5 + 1/10 + 3/10)
= 1 - (4/10 + 1/10 + 3/10)
= 1 - 8/10
= 2/10
= 1/5
Justin is 2 years older
than 1/4 his brothers age.
Brother's age = 12
Justin's age =
A. 10
B. 6
C. 5
100 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! please answer this question question
explains why preparing meals in space is more complicated than preparing meals on Earth. (respond directly )
Answer:
because in space there is something called microgravity. eating in mirco gravity can be very hard. salt and peppers just float away. and that can clog the air vents and go into astronauts nose and eyes.
Step-by-step explanation:
have a wonder ful day
Does anyone know what the answer is
Thanks luvs xx
Justin got a gift card to Cold Stone Creamery. Every time he goes, he gets an ice cream sundae, and it costs $6.75. If he bought 4 ice cream sundaes, what number shows the change in value on his gift card?
Answer:
27
Step-by-step explanation:
27, because 6.75*4=27
Solve the system of linear equations by elimination.
8x - 5y = 11
4x – 3y = 5
whiuch value makes the following equation true 2(x+8)= x+20
Answer:
x = 4
Step-by-step explanation:
2(x + 8) = x + 20
2x + 16 = x + 20
-x -x
x + 16 = 20
-16 -16
x = 4
Answer:
x=4
Step-by-step explanation:
2x + 16 = x + 20
-x -x
1x + 16 = 20
- 16 = -16
1x = 4
1 1 = 4 (x=4)
Colin gets £r wages each week. After he pays his tax of £t, he then pays his rent of £190. He
shares whats eft between himself and his wife. How much do they each get?
Answer:
[tex]\frac{r-t-190}{2}[/tex]
Step-by-step explanation:
Turn it into an equation
[tex]\frac{r - t - 190 }{2}[/tex] = There share
When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally. Estimate the rocket's distance (Find the missing side of triangle).
Answer:
i don t this topic because i am the secundary
Step-by-step explanation:
.
The value of rocket's distance will be 51.66.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally.
Now,
Since, When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally.
And, The figure is shown the right triangle.
So, We can apply the Pythagoras theorem as;
⇒ x² = 50² + 13²
⇒ x² = 2500 + 169
⇒ x² = 2669
⇒ x = √2669
⇒ x = 51.66
Thus, The value of rocket's distance will be 51.66.
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A certain radioactive substance decays from 100000 grams to 1000 grams in 34 days. What's it's half-life ?
Answer:
Half life of the radioactive element is 5 days.
Step-by-step explanation:
Formula to get the final amount after the radioactive decay in 't' days,
[tex]A_t=A_0e^{-\lambda t}[/tex]
Here [tex]A_0[/tex] = Initial amount
λ = Decay constant
t = duration of decay
[tex]A_t[/tex] = Final amount
[tex]1000=100000e^{-\lambda(34)}[/tex]
0.01 = [tex]e^{-34\lambda}[/tex]
ln(0.01) = [tex]\text{ln}(-e^{34\lambda}})[/tex]
-4.6052 = -34λ
λ = 0.13544
Since, λ = [tex]\frac{\text{ln}(2)}{t_{\frac{1}{2}}}[/tex]
[tex]t_{\frac{1}{2}}=\frac{\text{ln}2}{0.13544}[/tex]
= 5.11
≈ 5 days
Therefore, half life of the radioactive element is 5 days.
What is the area of the base of the cone?
A cone with diameter 18 centimeters, height of 12 centimeters, and slant height of 15 centimeters.
B = pi r squared
18 pi centimeters squared
81 pi centimeters squared
225 pi centimeters squared
324 pi centimeters squared
Answer:
81 pi centimeters squared
Step-by-step explanation:
Area of circle = πr²
18/2 = 9
π9²
π(9 x 9)
π81
A group of friends went on a drive. The graph below shows the distance the
friends traveled, in miles, over time, in hours.
Distance Traveled Over Time
Distance Tred
Time (in hours)
Based on the graph, which statement best describes the friends' drive?
A. The friends traveled at a slow pace, sped up, and then traveled at a quick pace.
B. The friends traveled at a slow pace, stopped, and then traveled at a quick pace,
C. The friends traveled at a quick pace, stopped, and then traveled at a slow pace.
D. The friends traveled at a quick pace, slowed down, and then traveled at a quicker pace.
Answer:
i'm not a 100% sure but i think the answer is C.
Does this look correct? Please tell the truth.
Answer:
Yea it does
Step-by-step explanation:
Answer:
it looks right to me
Step-by-step explanation:
mortar is made by mixing water cement and sand in the following ratio 1 : 2 : 3 . how much of each component is needed to make 3kg of mortar
Answer:
To make 3 kg of water, we need
0.5 kg water
1 kg cement
1.5kg sand
Step-by-step explanation:
Here, we want to calculate the mass of each component needed to make 3 kg of mortar
We work with the ratio
Total ratio is:
1 + 2 + 3 = 6
water
1/6 * 3kg = 0.5 kg
cement
2/6 * 3 kg = 1 kg
sand
3/6 * 3 = 1.5 kg
What is the value of x in the solution to this system of equations?
3 x-5 y= 22
y=-5 x + 32
Answer:
6.4
Step-by-step explanation:
The intersection point of 3x-5y=22 and y=-5x+32 is (6.4,0) on a graph, therefore, "x"=6.4
Turn 5-3(x+1)=2y-3x+2 into y=mx+b form
Answer:
Y=0
Step-by-step explanation:
We can write the given equation in the form of y = mx + b as -
y = 0x + 0.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is an expression as -
5 - 3(x + 1) = 2y - 3x + 2
The given expression is -
5 - 3(x + 1) = 2y - 3x + 2
5 - 3x - 3 = 2y - 3x + 2
2 - 3x = 2y - 3x + 2
2 - 3x + 3x - 2 = 2y
2y = 0
y = 0
y = 0x + 0
Therefore, we can write the given equation in the form of y = mx + b as -
y = 0x + 0.
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Someone help pls I'll give BRAINLIEST
Answer:
An obtuse triangle has one angle larger than 90 degrees (deg). Given information, the two base angles EDF and EFD are represented by one variable x, therefore they are equal.
The sum of all angles of any triangle is 180 deg so angles EDF + EFD + DEF = 180 deg
Since the obtuse angle must be larger than 90 deg, the sum of the other two angles must be less than 90.
Angles EDF + EFD < 90 and 90 < DEF can be re written
An inequality of angles EDF + EFD < DEF
Since angles EDF and EFD are equal to x their sum is (x + x) or 2x, so we can write
2x < 90 divide both sides by 2
{0 < x < 45} is all possible values of x.
A function can be written to represent this. The function will accept input of the obtuse angle and output the two equal acute angles.
F(x) = (180 - x) / 2
where x is the measure of the obtuse angle. Only works for symmetric triangle. F(x) is the measure of each of the other two angles.
This, I need the answer to this
Answer:
Cos60=x/11
X=5.5cmmmmmmmmmmmm
The area of a triangle is 10 square cm. The base is LaTeX: 2\:\frac{1}{2}2 1 2 cm. Find the height.
Answer:
[tex]Height = 40[/tex]
Step-by-step explanation:
Given
Shape: Triangle
[tex]Area = 10cm^2[/tex]
[tex]Base = \frac{1}{2}cm[/tex]
Required
Determine the height
Area of a triangle is calculated as:
[tex]Area = \frac{1}{2} * Base * Height[/tex]
Substitute values for Area and Base
[tex]10= \frac{1}{2} * \frac{1}{2}* Height[/tex]
[tex]10= \frac{1}{4}* Height[/tex]
Multiply both sides by 4
[tex]4 * 10= 4 * \frac{1}{4}* Height[/tex]
[tex]4 * 10= Height[/tex]
[tex]40= Height[/tex]
[tex]Height = 40[/tex]
Hence, the height is 40cm
Which of the following is the correct factorization of the polynomial below?
2x2. 12x + 18
A. 2(x-3)2
B. 2(x + 6)(x+3)
C. (2x + 6)(x+3)
D. The polynomial is irreducible.
Answer:2(x-3)2
Step-by-step explanation:
9+9y=
9y-9=
9(y-1)=
9(y+1)=
9y+1=
1+9y=
Answer:
Step-by-step explanation:
9+9y=18y
9y-9= y
9(y-1)=9y−9 simplifed
9(y+1)=9*1y
9y+1=10y
1+9y=10y
sorry if I got some wrong I tried my best.
WILL GIVE BRAINLIEST!!!!!!!!!!!
Answer:
hey i am
please mark me as brainlist
1. 8 feet to 10 feet *
Answer:
ratio 8:10
Step-by-step explanation:
the ratio is 8:10
Answer:
as a ratio 8:10
Step-by-step explanation:
20% of the girls in class have blonde hair. 16 girls do not have blonde hair. How many total students
The sum of two numbers is 85. The second number is 4 more than 2 times the first number. Let x represent the first number and let y represent the second number. What are the two numbers? Use the table to guess and check.
Step-by-step explanation:
x+y=85
y=4+2x
[tex]x = 85 - y \\ y = 4 + 2(85 - y) \\ y = 4 + 170 - 2y \\ 3y = 174 \\ y = 58 \\ x = 85 - y \\ x = 27[/tex]
For each set of points below, determine the distance between them
using the distance formula. Each answer in this problem will be an integer.
(10,-5) and (-6, 7)
Answer:
I need Help on this one too.
Step-by-step explanation:
please help
Answer: The answer is 20
Step-by-step explanation: You use the distance forumula to find the distance between two points
3x + 6 < 2x - 5
How to solve
Answer:
x<-11
Step-by-step explanation:
3x+6<2x-5
subtract the far x to gather
1x+6<-5
subtract singles
1x<-11
simplify
x<-11
A crew is made up of 12 men the rest are women. 40% of the crew are men. How many women are in the crew.
Answer:
Step-by-step explanation:
let nr of women be x
12 men represents 40%
?women represents 100%
12*100/40=30
30 women and 12 men are in the crew
6/100 equals what as a decimal?
Answer:
0.06
Step-by-step explanation:
hope this helps
6 divide by 100= 0.06
Answer:
Step-by-step explanation:0.06
