Answer:
[tex]y=\frac{3}{50} (x-3)^{2}+2[/tex]
Step-by-step explanation:
Vertex: (3,2)
Point: (13,8)
The equation form is [tex]y=a(x-h)^2+k[/tex]
h = 3
k = 2
y = 8
x = 13
Plug in the values into the form..
[tex]8=a(13-3)^{2} +2[/tex]
Simplify and solve for a..
[tex]8=a(10)^{2}+2[/tex]
[tex]8=100a+2[/tex]
[tex]100a=8-2[/tex]
[tex]100a=6[/tex]
[tex]a=\frac{6}{100} or \frac{3}{50}[/tex]
Plug a into the equation..
[tex]y=\frac{3}{50} (x-3)^{2}+2[/tex]
Hope this helped you!
What is the factored form of 3x+24y?
O 3(x+8y)
0 3xy(x+8y)
O 3(3x+24y)
O 3xy(3x+247)
Plzz helpp
Answer:
3(x + 8y)
Step-by-step explanation:
3 is the highest term that can be factored out; there are no other numbers/variables in common.
Factor out 3 from 3x + 24y.
= 3(x+8y)
The factored form of the given expression is 3(x+8y).
What are factors?A factor is a number that divides into another number without a remainder. So, for example, 5 is a factor of 20 because 20/5 = 4. There is no remainder. You can also think of factors as the numbers that you multiply together in order to obtain a product.
Given is an expression 3x+24y, we need to find the factors of the given expression,
3x+24y
Since, 3 is the highest term that can be factored out; there are no other numbers/variables in common.
Factor out 3 from 3x + 24y.
= 3(x+8y)
Hence, the factored form of the given expression is 3(x+8y).
Learn more about factors, click;
https://brainly.com/question/28315959
#SPJ7
What is the equation in slope-intercept form of a line with
а
slope - and y-intercept -2?
3
4
OA) y=_x+2
)
3
4
4.
OB) y=2x +
3
4
OC) y=-x+2
3
v
=x+2
4.
OD) y=-x-2
3
-
Answer:
D
Step-by-step explanation:
sorry about last time 100% sure about this one
Answer: D, because y =mx + b
plz halp muh wit my mathy math
Answer:
( -1/2) ^5
Step-by-step explanation:
We know that a^b* a^c = a^(b+c)
( -1/2) ^ 3 * ( -1/2) ^2
( -1/2) ^ (3+2)
( -1/2) ^5
Answer:
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
[tex] {( \frac{ - 1}{2}) }^{3} × {( \frac{ - 1}{2}) }^{2} \\
=>{( \frac{ - 1}{2}) }^{(3+2)}\\
=>{( \frac{ - 1}{2}) }^{5}\\
=> \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \\
=> \frac{ - 1}{32} [/tex]
[tex]{\huge{\pink{\underline{\underline{Formula\ used:}}}}}[/tex]
[tex]{a}^{x}×{a}^{y}={a}^{x+y}[/tex]Please help this is the 3rd time posting this today. Awarding 30 points.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
−−→
DF
bisects
∠EDG
. Find FG. The diagram is not to scale.
"FG = 14 is the answer
The two angles, <FDG and <DGF, and the non-included side, DF in ∆FDG re equal to the corresponding two angles, <EDF and <DEF, and non-included side, DF in ∆EDF. Therefore, both triangles are congruent by AAS.
This implies that:
n + 9 = 4n - 6
Collect like terms
n - 4n = -9 - 6
-3n = -15
Divide both sides by -3
n = -15/-3
n = 5
✔️FG = 4n - 6
Plug in the value of n
FG = 4(5) - 6
FG = 20 - 6 = 14"
Explain why a + b = d.
Answer:
lets just say a is 1 and b is 2 after adding them 3 which means c will form and after 3 four will come which means d
a + b = c because the sum of the measure of angle a and angle b is equal to the measure of angle c.
What is a triangle?A triangle is a closed plane figure formed by joining three noncolinear points. According to side property, there are three types of triangles isosceles triangles, equilateral triangles, and scalene triangles.
We know the measure of an exterior angle of a triangle is the sum of the two opposite interior angles of the given triangle.
As we can observe from the given diagram that ∠a, ∠b and ∠c are the interior angles of the given triangle ABC, and ∠d is the exterior angle which is opposite to ∠a and ∠b.
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ5
In a recent year, the annual salary of the governor of new York was $179,00. During the same year, the annual salary of the governor of Tennessee was $94,000 less. Write and solve an equation to find the annual salary of the governor of Tennessee (y) in that year.
Answer:
$85,000
Step-by-step explanation:
Given that, the annual salary of the governor of New York was $179,000.
Let $y be the annual salary of the governor of Tennesse during the same year.
As the annual salary of the governor of Tennessee was $94,000 less than the annual salary of the governor of New York.
So, the annual salary of the governor of Tennesse,
[tex]y=179000-94000[/tex]
[tex]\Rightarrow y=85000[/tex]
Hence, the annual salary of the governor of Tennesse during the same year was $85,000.
Write 5/2 as a mixed number
5/2 can be written as 2 1/2
2*2 = 4 + 1 = 5
Answer:
2 1/2
Step-by-step explanation:
you divide 5 into 2, to get 2 and 1 left over
The temperature on Monday was 64.8 degrees and the temperature on Tuesday was 7.65 degrees warmer. What was the temperature on tuesday?
Answer:
72.45°
Step-by-step explanation:
Add 7.65° to 64.8°
The temperature is 72.45° on Tuesday.
Hope I helped :)
Please consider Brainliest :)
Answer:
Step-by-step explanation:
Monday=64.8
Tuesday= 64.8+7.65
=72.45
James was making cupcakes for a bake sale. The recipe he had uses 2 eggs for every dozen cupcakes. If James needed to make 18 cupcakes, how many eggs would he use?
Answer:
3 eggs
Step-by-step explanation:
For 12 cupcakes, 2eggs are required.
For 18 cupcakes, 3 eggs are required.
[Use multiplication table of 6, 6*2=12 and 6*3=18]
THIS ID DUE TODAY! MATH.
Answer: Inverse
Explanation: Any conditions that doesn't fit the requirement of the conditional statement would make the statement false, therefore it is inverse.
The medium sushee has 17 more ounces than the small slushee
The large slushee has 6 times as many ounces than the small slushee
The Slushee Company says there are 113 ounces total in the small, medium, and large drinks
How many ounces are in cach size slushee?
Answer:
A small slushee has 12 ounces.
A medium 29 ounces.
And a large 72 ounces.
Step-by-step explanation:
Let s represent the size of the small slushee, m the medium slushee, and l the large slushee.
We know that the medium slushee has 17 more ounces than the small slushee. So:
[tex]m=s+17[/tex]
We also know that the large slushee l has 6 times as many ounces than the small slushee. Therefore:
[tex]l=6s[/tex]
Finally, we know that there are a total of 113 ounces in the small, medium, and large drinks combined. So:
[tex]s+m+l=113[/tex]
We can solve this triple system of equations using substitution. Let's substitute l for 6s and m for (s+17). This yields:
[tex]s+(s+17)+(6s)=113[/tex]
Combine like terms:
[tex]8s+17=113[/tex]
Subtract 17 from both sides:
[tex]8s=96[/tex]
Divide both sides by 8:
[tex]s=12\text{ oz}[/tex]
So, the small slushee is 12 ounces.
So, the medium slushee is [tex]12+17=29\text{ oz}[/tex]
And the large slushee is [tex]6(12)=72\text{ oz}[/tex]
And we're done!
PLEASE HELP! I WILL MAKE BRAINLIST!
Answer:
the answer is b because that's the slope
Answer:
B
Step-by-step explanation:
you can try each answer or you can just use number of plants and divide it by number of seed packets which is 10 so B
When soling a system of liner equations, try to algebraically form one equation that has only one variable
Answer:
Yes
Step-by-step explanation:
It helps you to understand the equation easily
HOPE IT HELPED
Find the magnitude of the vector <5, −3>.
1. 5.8
2. 6.1
3. 5.2
4. 4
Answer:
5.8
Step-by-step explanation:
[tex]\sqrt{5^{2} + (-3)^{2} } \\\sqrt{25 + 9} \\\sqrt{34}[/tex]
5.83
hope it helps
Answer:
5.8
Step-by-step explanation:
well, you use the distance formula to find the magnitude of this vector.
Hope this helps!
WILL GIVE BRAINLIEST!!!!
What is the best fit line? How do you draw it?
Answer:
the line of best fit is the line that you would draw in the middle of a scatter plot to try and have the line best represent the scatter plot with the scatter plots angle and direction. this image is an example of one: (ignore the numbers) the line is a best fit line.
Step-by-step explanation:
mr clean
Which point has the coordinates (-2.5, 5.5)?
A.
point E
B.
point F
C.
point G
D.
point H
80 is M% of 25. What is M? Explain your answer
Help the possible answers for the picture are 25, 49, 175, or 196
Answer:
175[tex]mm^{2}[/tex]
Step-by-step explanation:
Just divide the larger one by 7 because the scaled one is 1/7 the size of the larger one:
1225 ÷ 7 = 175
Pls consider giving me Brainliest! It would mean and help a lot! ; )
Answer:
175
Step-by-step explanation:
2. Find f(2) for
the function
below.
f(x) = 1/8•5^x
Answer:
f(2) = [tex]\frac{25}{8}[/tex]
Step-by-step explanation:
To evaluate f(2) substitute x = 2 into f(x) , that is
f(2) = [tex]\frac{1}{8}[/tex] × 5² = [tex]\frac{1}{8}[/tex] × 25 = [tex]\frac{25}{8}[/tex]
Answer:
24/8
Step-by-step explanation:
BIG BRAIN
X + 2x - 9 + xy - 2 - 3x + 2xy - 4
Answer:
3xy-15 thats the simplified form
Question 7 (1 point)
Problem 7, part b:
Two angles are similar.
A.
must be true
B.
could possibly be true
C.
definitely can't be true
B. Could possibly be true
Because, who knows? They could be, but they may not be.
Out of 28 people, 12 adults attended a play. What is the ratio of children to attendees
Answer: 7:3 is the ratio of the problem
Step-by-step explanation:
Write the equation for a parabola with a focus at (1,2)(1,2)left parenthesis, 1, comma, 2, right parenthesis and a directrix at y=6y=6y, equals, 6.
y=
Answer:
y = -1/8(x -1)² +4
Step-by-step explanation:
The equation of a parabola can be written from focus and directrix using the form ...
y = 1/(4p)(x -h)² +k
where p is the distance from vertex to focus, and (h, k) is the vertex.
The vertex-focus distance is half the distance from the directrix to the focus. Here, that is ...
p = (2 -6)/2 = -4/2 = -2
The vertex is halfway between the focus and directrix on the same vertical line, so has coordinates ...
(h, k) = ((1, 2) +(1, 6))/2 = (1, 4)
__
Using these values of p and (h, k), we find the equation of the parabola to be ...
y = 1/(4(-2))(x -1)² +4
y = -1/8(x -1)² +4
_____
Additional comment
You can check the graph by considering the definition of a parabola: each point on the curve is equidistant from the focus and the directrix. This is easily verified for points on the horizontal and vertical lines through the focus. For example, point (5, 2) is 4 units from the focus, and 4 units from the directrix.
Answer:
y=-1/8(x-1)^2 +4
Step-by-step explanation:
What is the approximate length of the diameter, d? Use 3. 14 for. Round to the nearest tenth of a centimeter. 4. 0 centimeters 8. 0 centimeters 15. 9 centimeters 31. 8 centimeters.
1, 3, 7, 15, 31, .
What is the pattern
Answer:
Step-by-step explanation: Your adding 2. So 1 + 2= 3, 3 + 4 =7, 7 + 8=15, 15 + 16=31. You see my point. My wording is off.
A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
Both plans cost the same when 22 texts are sent.
Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
Both plans cost the same when 50 texts are sent.
Both plans cost the same when 50 texts are sent
Step-by-step explanation:
Let
x ---->the number of texts
y ----> the total cost in dollars
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
we have that
Emilia’s plan (Red line)
The slope is
The y-intercept is
substitute
----> equation A
Hiroto’s plan (Blue line)
The slope is
The y-intercept is
substitute
----> equation B
The solution of the system of equations A and B is the point of intersection both graphs
The intersection point is given
The intersection point is (50,22.5)
That means----> For x=50 texts, the cost is equal in both plans
Verify each statement
case a) Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent
The statement is false
Because
Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent
Verify
For x=100 texts ----> 100 > 50
Emilia's plans
Hiroto's plans
case b) Both plans cost the same when 22 texts are sent
The statement is false
Because
Both plans cost the same when 50 texts are sent
case c) Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
The statement is false
Because
Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent
case d) Both plans cost the same when 50 texts are sent
The statement is true
Answer:
Both plans cost the same when 50 texts are sent.
Step-by-step explanation: Took test edge 2020: D
(u + 9) 10 distributive property
= 10 (u + 9)
= 10 x u + 10 x 9
= 10u + 90
At his yearly checkup,John was 68 inches tall. What is another way yo express 68 inches
Grace, Jessica and Mia went out to dinner after the Volleyball game. Jessica bought two tacos, a coke and a mango smoothie and spent $14.74. Grace bought Mia's dinner. She bought 5 tacos, 2 cokes and 1 mango smoothie and spent $29.05. The mango smoothie cost three times as much as the coke. Determine the price of each item. Answer in a complete sentence.
Answer:
A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25
Step-by-step explanation:
Given
Represent Tacos with T, Coke with C and Mango with M
For Grace:
[tex]2T + C + M = 14.74[/tex] --- (1)
For Mia:
[tex]5T + 2C + M = 29.05[/tex] -- (2)
[tex]M = 3C[/tex]
Required
Determine the cost of each item
Substitute 3C for M in (1) & (2)
[tex]2T + C + M = 14.74[/tex]
[tex]2T + C + 3C = 14.74[/tex]
[tex]2T + 4C = 14.74[/tex] --- (4)
[tex]5T + 2C + M = 29.05[/tex]
[tex]5T + 2C + 3C = 29.05[/tex]
[tex]5T + 5C = 29.05[/tex] --- (5)
Divide through (5) by 5
[tex]T + C = 5.81[/tex]
Solve for C
[tex]C= 5.81 - T[/tex]
Substitute 5.81 - T for C in (4)
[tex]2T + 4C = 14.74[/tex]
[tex]2T + 4(5.81 - T) = 14.74[/tex]
[tex]2T + 23.24 - 4T = 14.74[/tex]
Collect Like Terms
[tex]2T - 4T = 14.74 - 23.24[/tex]
[tex]-2T= -8.5[/tex]
Solve for T
[tex]T = -8.5/-2[/tex]
[tex]T = 4.25[/tex]
Recall that:
[tex]C= 5.81 - T[/tex]
[tex]C = 5.81 - 4.25[/tex]
[tex]C = 1.56[/tex]
Recall that
[tex]M = 3C[/tex]
[tex]M = 3 * 1.56[/tex]
[tex]M = 4.68[/tex]
Hence:
A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25
Mr. and Mrs. Sanchez want to invest money for their
child's college education. They have decided to invest
$2000 initially. If the investment is in an account that
earns 8% annual interest, compounded yearly for 10
years, how much will their investment be worth at the
end of the 10th year? (Hint: $2000 is ao, think about a
as the value of the account at end of the 1st year.)
The total amount accrued, principal plus interest, with compound interest on a principal of $2,000.00 at a rate of 8% per year compounded 1 times per year over 10 years is $4,317.85.
Given Data
Initial Amount = $2000
Annual interest rate = 8%
Time = 10 years
A = P + I where
P (principal) = $2,000.00
I (interest) = $2,317.85
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 2,000.00(1 + 0.08/1)(1)(10)
A = 2,000.00(1 + 0.08)(10)
A = $4,317.85
Learn more about compound interest here:
https://brainly.com/question/24924853