Answer:
y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (5, 7 ) , then
y = a(x - 5)² + 7
To find a substitute (10, - 3 ) into the equation
- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )
- 10 = 5²a = 25a ( divide both sides by 25 )
[tex]\frac{-10}{25}[/tex] = a , that is
a = - [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7 ← in vertex form
4x + 5y = 18.5
2x + 4y = 13
Work out the values of x and y.
Answer:
x = 1.5 , y = 2.5
Step-by-step explanation:
4x + 5y = 18.5 → (1)
2x + 4y = 13 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the x- term
- 4x - 8y = - 26 → (3)
add (1) and (3) term by term to eliminate x
- 3y = - 7.5 ( divide both sides by - 3 )
y = 2.5
Substitute y = 2.5 into either of the 2 equations and solve for x
Substituting into (1)
4x + 5(2.5) = 18.5
4x + 12.5 = 18.5 ( subtract 12.5 from both sides )
4x = 6 ( divide both sides by 4 )
x = 1.5
Jimez has $27 in his pocket. Which is the least number of bills that he can have, assuming he could possibly have $1, $5, $10, and $20.
(A) 3
(B) 4
(C) 5
(D) 8
Answer:
4, because he could have a 20 a 5 and two ones.
Step-by-step explanation:
A hexagon has equal side lengths and angle measures. How many reflectional symmetry does the regular hexagon have?.
The regular hexagon has 6 reflectional symmetries.
A regular hexagon has 6 congruent sides.
The number of sides of a polygon is the number of reflectional symmetry the polygon have.
Since the number of congruent sides of a regular hexagon is 6, then the regular hexagon has 6 reflectional symmetries.
Read more about reflectional symmetry at:
https://brainly.com/question/24584937
Answer:
It´s 6
Step-by-step explanation: Hope it helps ^w^
What is the radical form of the expression 4 3/2
trinomios de 6x 2 + 13 x + 5
Answer:
77
Step-by-step explanation:
6x2 = 12
13x5 = 65
65+12 = 77
The answer is 77.
−x<−29 solve for X just please commet fast im on khan right now
Answer:
x > 29
Hope you level up in khan :)
[tex]-x <-29 <=>\frac{-x}{-1} >\frac{-29}{-1} <=>x >29[/tex]
Ok done. Thank to me :>
Pls help me asap don’t put any links and pls show me how you got that answer I will give brainliest
Verify whether:
p(x)= 3x+1 has x=-1/3 as a factor
Hey there!
p(x) = 3x + 1
y = 3x + 1
y = 3(-1/3) + 1
y = -1 + 1
y = 0
Therefore, your answer SHOULD be: y = 0
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
third one
Step-by-step explanation:
a number is less than 3 1/2
the temperature of the fish tank must be atleast 68F but no more than 77F
Answer:
72 f
Step-by-step explanation:
If F is the function defined by F(x)=3x−1 find the solution set for F(x)=−7
[tex]f(x) = -7 \\\\\implies 3x -1 = -7\\\\\implies 3x = -7 +1 \\\\\implies 3x = -6\\\\\implies x = - \dfrac 63 =-2[/tex]
5 kilometers in 30 minutes how many kilometers can she run in 45 minutes
8 kilometers
1 kilometer every 6 minutes
What does a fraction represent
help me 6= a/4 + 2
It's a two-steps equations
6=a/(4+2)
6=a/6
Now multiply both sides by 6 to cancel one of them.
6*6=6*a/6
6*6=a
36=a
Question is on the picture
Answer:
B. 30/65 and experimental
Step-by-step explanation:
Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
A.
x + y = 13
0.25x + 0.5y = 3.55
B.
x + y = 13
0.25x + 0.05y = 3.55
C.
x + y = 13
25x + 5y = 3.55
D.
x + y = 3.55
0.25x + 0.05y = 13
Answer:
The answer is B
Solve using the Quadratic Formula:
a) -7x^2 + 7x + 1 = -8
b) -6x - 1 + 5x^2 = 8x^2
Show your work.
A. - 7x² + 7x + 1 + 8 = 0
- 7x² + 7x + 9 = 0
x = - b ± √b² - 4ac / 2a
= - 7 ± √7² - 4 (-7) (9) / 2 (-7)
= - 7 ± √49 + 252 / - 14
= - 7 ± √ 301 / - 14
x = - 7 + 17.349 / - 14 x = - 7 - 17.349 / - 14
= 10.349 / - 14 = - 24.349 / - 14
= - 0.739 = - 1.739
B. 8x² - 5x² + 6x + 1 = 0
3x² + 6x + 1 = 0
x = - b ± √b² - 4ac / 2a
= - (-5) ± √-5² - 4 (3) (1) / 2 (3)
= 5 ± √25 - 12 / 6
= 5 ± √ 13 / 6
x = 5 + 3.606 /6 x = - 5 - 3.606 / 6
= 8.606/6 = - 8.606/6
= 1.434. = - 1.434
please re-check the answers hope this helps
If you could please help, what is the missing answer?
Thank you to anyone who helps out!
Answer:
48
Step-by-step explanation:
let s be the snowman, g be the girl, and t be the christmas tree
2s+g=24
2t+2ts=132
3t+2g=26
subtract 2 times the first equation from the third one to get
3t-4s=-22
from the second equation we can deduce
2t(1+s)=132
t(1+s)=66
t=66/(1+s)
Substitute:
3(66)/(1+s)-4s=-22
3(66)/(1+s)=4s-22
3(66)=(4s-22)(1+s)
3(66)=-18s+4s^2-22
4s^2-18s-220=0
using the quadratic formula, we get s = 10, s = -5.5.
2(10)+g=24
g=4
2t(1+10)=132
2t=12
t=6
So 2s+t*g= 20+6*4=48
you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r
PLZ HELP
fill in the blanks
Answer:
Step-by-step explanation:
First, to solve the problem, you must distribute the 5 to the (2 + 9). Which ends you up with 10 + 45. Which would give you 55, but we aren't solving it.
So instead, when you are distributing, you are taking the number next to the parentheses (5) and multiplying it into the parentheses like this:
(5 x 2) + (5 + 9).
That is your answer. Hope this helps.
Which investment strategy would work best if you wanted to grow your investment slowly without losing much money?
A. Low risk, high return
B. Low risk, low return
C. High risk, low return
D. High risk, high return
The best answer to your question is gonna be low risk low return.
Find the slope of the line that contains (−5,4) and (2,4).
If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.
Answer:its a zero slope or you can do x2-x1 and y2-y1 and if its an even fraction try simplifying it .
Step-by-step explanation:
The slope of the coordinates is 0.
what is slope?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.
So, Slope = m = tan θ
slope = (y2 - y1)/(x2 - x1)
given coordinates:
(−5,4) and (2,4)
So, slope = (y2 - y1)/ (x2 - x1)
slope = (4- 4)/ (2 - (-5))
slope = 0 / 7
slope = 0
Hence, the slope of the coordinates is 0.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
100,105,110.25… recusive formula
Answer:
a[1] = 100
a[n] = 1.05·a[n -1]
Step-by-step explanation:
The given terms do not have a common difference, but do have a common ratio. Each is 1.05 times the previous. This is expressed in a recursive relation as ...
a[1] = 100
a[n] = 1.05·a[n -1]
Two trucks leave a warehouse at the same time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by 2 miles per hour. After 5 hours, they are 315 miles apart. What are the rates of the trucks?
Step-by-step explanation:
the slower truck travels x miles in 5 hours.
the faster truck travels x + 5×2 = x + 10 miles in 5 hours.
so,
x + x + 10 = 315 miles
2x = 305 miles
x = 152.5 miles (in 5 hours)
therefore, the slower truck's speed was 30.5 mph.
the faster truck's speed was 30.5 + 2 = 32.5 mph.
40% of 58 and 34% of 76
pls subscribe to aphmau it'll help her alot
Answer:
See below
Step-by-step explanation:
40% of 58 = 0.40(58) = 23.2
34% of 76 = 0.34(76) = 25.84
Answer:
23.2
25.84
Step-by-step explanation:
To calculate percentage, multiply the number by the percentage's decimal.
for example, 20% of 300
20%-->20/100---->0.20
300×0.20=60
40% of 58--->
40/100--->0.40
58×0.40=23.2
34%--->34/100--->0.34
0.34×76=25.84
Mr. Allen says that the equation y=2x+1 has a solution of (4, 9). Is Mr. Allen right or wrong?
Answer:
right
Step-by-step explanation:
y=2x+1
9=2(4)+1
9=8+1
9=9
Hep help help math math math
Answer:
525
Step-by-step explanation:
hope this helps
Answer:
526
Step-by-step explanation:
If 35 liters of petrol cost $21.00, what is the price per liter?
Step-by-step explanation:
if 21 dollars = 35 liters
the ? dollars = 1 litre
it will be less so more which is the 35 divides
so we have
1/ 35 ×21
21/35
0.6
expand 7(2x+7). need help quickly if possible
Hello there! :)
To expand this expression, we have to use the Distributive Property, which states:
a(b+c)=ab+ac
7(2x+7)=14x+49
Hence, 14x+49 is the expression (Answer)
Hope it helps you!
~A lonely teen who helps others and listens to her favourite song "How Far I'll Go
-Grace ;-)
Good luck.
7 (2x + 7)
= (7 × 2x) + (7 × 7)
= 14x + 49
_____
Hope it helps ⚜
The area of a square is 161 m2. Which of the following best represents the perimeter of the square?
Answer:
322m for perimeter
Step-by-step explanation:
161/2 = 80.5
80.5*4 = 322
i think
When Brianna plays solitaire, she keeps track of how many times she wins and loses. She has won
2
games for every 3 that she has lost. If Brianna has won 18 games, how many games has she played in all?
games