Answer:
y = 1/3(x + 5)^2 - 4
Step-by-step explanation:
The general vertex form is;
y = a(x-h)^2 + k
From the question, (h,k) are the coordinates of the vertex which is (-5,-4)
So we have
y = a(x + 5)^2 -4
So we need to get the leading coefficient
Simply substitute the point it passes through
x = -2 and y = -1
-1 = a(-2 + 5)^2 - 4
-1 = a(3)^2 -4
-1 = 9a -4
9a = 4-1
9a = 3
a = 3/9
a = 1/3
So the equation is;
y = 1/3(x + 5)^2 - 4
A line has a slope of 11 and passes through the point (2,4). PLSSSS HELPPP
Find the equation of the line.
Answer:
y=11x-18
Step-by-step explanation:
y=11x+b (b is the unknown y-int)
to find the y-int, substitute in (2, 4), and solve for b *substitute in 2 for x and 4 for y*
y=11x+b
4=11(2)+b
4=22+b
b=-18
the equation of the line:
y=11x-18
what is the first step in evacuating the expression below
Answer:
adding 4 +2
Step-by-step explanation:
in parenthesis
Carlos left the mall at the same time as
Gabriella. They traveled in opposite
directions. Gabriella traveled at a speed
of 50 mph. After two hours they were 180
mi. apart. How fast did Carlos travel?
Answer:
40 mph
Step-by-step explanation:
After the 2 hours Gab travelled 100 miles (50*2), subtract this from 180 to find how many miles Carlos travelled. Divide this number by 2 to figure out the mph
You and Mr. Fowles have decided to race each other at the Boston Marathon (26 miles long). Mr. Fowles runs at a steady 4.2 miles per hour. He knows your best time is 3 miles per hour so he gives you a 3 mile lead. When will he catch you? How far behind are you when Mr. Fowles finishes the race? How much longer will it take for you to finish?
Answer:
The answer is below
Step-by-step explanation:
Speed is the time rate of change of velocity, it is the ratio of distance to time.
Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:
speed = distance / time
time = distance / speed = 26 / 4.2 = 6.19 hour
I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:
time = distance / speed = 23 / 3 = 7.67 hour
a) Let d be the distance Mr Fowles catches me. Hence:
time = (d + 3)/4.2; also time = d/3
(d + 3)/4.2 = d/3
3d + 9 = 4.2d
1.2d = 9
d = 7.5 miles
He would catch me at 10.5 (7.5 + 3) miles from the starting point.
b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:
distance = 6.19 * 3 mi/hr = 18.57 mile
Distance behind = 23 mile - 18.57 = 4.43 mile
c) time longer = 7.67 hour - 6.19 hour = 1.48 hour
Next Question I only have 40 minutes to complete the rest of these. Help Asap Please. Again I will award 100pts and Brainly to whoever can get me the slope intercept form to these two cordinate points. This is timed. And I risk failing the class if I don't get these questions answered. Plz help.
Answer:
y=-2x+1
Step-by-step explanation:
First, you calculate the slope, which is rise over run: -9+5 / 5-3 = -2. Then, find b by substituting the coordinates (of either one point) into the slope-intercept formula, y = mx + b.
Answer:
Step-by-step explanation:
The slope intercept form of a line is
y=mx+b, where m=slope and b= y intercept
The slope of a line is defined as
m=(y2-y1)/(x2-x1), in this case we have points (3,-5) and (5,-9)
m=(-9-(-5))/(5-3)
m=-4/2
m=-2, so our line is now
y=-2x+b, using point (3,-5) we can now solve for b
-5=-2(3)+b
-5=-6+b
1=b so the completed line is
y=-2x+1
The Williams family bought four concert tickets for $252. What was the price per
ticket?
Answer:
$63
Step-by-step explanation:
$252 ÷ 4 = $63
Answer:
Step-by-step explanation:
The family bought 4 tickets
The total cost is $252
So that means you have to divide $252 by the number
of tickets bought which is 4
$252÷4=$63
Answer: Each ticket cost $63
Multiple Choice Question
Write 6 + 12x in a factored form.
A. 6(1 + 2x)
B. 6 + (1 + 2x)
C. 6(1+ 12x)
D. 6 + (1+ 12x)
Answer:
A. 6(1+2x)
Step-by-step explanation:
we take 6 as Common factor out of the equation
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
Hello There!
so
y = -5x^2 + 8x +4
where y = height of ball and x = seconds after ball was thrown
The plus 4 is the y intercept and because y equals height of ball the 4 would represent the height that the ball was thrown at
~TheMathWiz
Answer:
It is C
Step-by-step explanation:
what is the y intercept of the linear function graphed here
Answer:
0,-1
Step-by-step explanation:
A TEAMS TOP SPEED FOR EACH LEG OF THE RACE IS 56.81 SECONDS, 59.22 SECONDS ,57.39 AND 60.1 WHAT IS THE BEST TIME
Answer:
56.81 SECONDS
Step-by-step explanation:
The best time would be the shortest time it takes to complete the race. This is 56.81 SECONDS
Only correct, and relevant answers please :)
Answer:
Answer is A hope this helps :)
Step-by-step explanation:
hey can you solve this I'm weird at maths
[tex] \sqrt{144} = 12 \times x[/tex]
what's x ?
Answer:
The square root of 144 = 12
Step-by-step explanation:
12 X 12 = 144
A square root of a number is a value that, when multiplied by itself, gives the number.
Answer:
x=1
Step-by-step explanation:
and yes you r weird
...
Find the median for each set of data. Round to the nearest tenth if necessary.
34, 47, 30, 79, 68, 19, 16
A) 38. B) 26
C) 43. D) 34
Answer:
d) 34 is the median
Step-by-step explanation:
hope this helped you
5/6 - 1/4. what is 5 over 6 minus 1 over 4? help
Answer:
7/12
Step-by-step explanation:
turn 5/6 and 1/4 to have same denominator (12).
10/12 - 3/12
7/12
help please!! graphs and functions
PLZ HELP!!
Peter and Xavier throw a ball in the air and create function models to show the trajectory. The variable x represents time in seconds after the ball was thrown and f(x) represents the height in meters.
The path of Peter's ball is represented by the function, f(x)=−4.9x2+22.54x+1.9.
The path of Xavier's ball is represented by the table.
Select the answers from the drop down menus to complete the statements.
Choose...
ball is thrown from a greater height off the ground.
Choose...
ball reaches a greater maximum height.
Answer:
Step-by-step explanation:
please question below i need answer FAST
Answer: 3.5 miles
Step-by-step explanation:
C=2 √πA = 2 x √π x 1 = 3.5
ABC is isosceles AC=20 and BC= 3x-7
Answer:
x=9
Step-by-step explanation:
Please help me find the answer.
Answer:
I think 3/6
Step-by-step explanation:
because there is 6 cards and 3 of them are odd but im not postive
What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?
Answer:
x = 7
Step-by-step explanation:
(7 + 6) - (14 - 1) = 13 - 13 = 0
Answer:
x = 7
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log ([tex]\frac{x}{y}[/tex] )
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
ln(x + 6) - ln(2x - 1) = 0
ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0
[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then
2x - 1 = x + 6 ( subtract x from both sides )
x - 1 = 6 ( add 1 to both sides )
x = 7
Determine the value of x in each figure.
HELPPPPP PLEASEEEEE
Answer:
15°
Step-by-step explanation:
120° and 8x are vertically opposite angles, which are always equal.
=> 8x = 120°
=> x = 120/8
=> x = 15°
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many DUCKS are there?
Answer:
let no of pigs=x
ducks=y
x+y=10.....(1)
4x+2y=36
2x+y=18....(2)
by(1)..y=10-x
putting vvalue
2x+10-x=18
x=8
ducks=8
Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h
Answer:
the value of h is √676km
Step-by-step explanation:
The computation of the value of h is shown below
Here we apply the Pythagoreus theorem
= 24^2 + 10^2
= 576 + 100
= √676
Hence, the value of h is √676km
We simply determine by using the Pythagoreus theorem
For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90
Answer:
38
Step-by-step explanation:
128 + angle G= 180
angle G = 180-128= 52
m+ 52 = 90 ( complementary angles)
m= 90-52= 38
3x-5=4x+2can i get help anyone
Answer:
3(x+5) = 4x
Step-by-step explanation:
suppose that 12 dimes and nickels are worth 95 cents. how many dimes and nickels are there? use systems of equations to solve.
Answer:
7 dimes and 5 nickles
Step-by-step explanation:
7 times 10 equals 70 5 times 5 equals 25. 70 plus 25 equals 95
Question below fr this time
Answer:
An object's initial position
The initial velocity of an object
The time an object was in motion
The acceleration of an object
Step-by-step explanation:
That equation is used to solve for an object's final position.
Please answer the question above.
Answer:113
Step-by-step explanation:
Please help me I'm desperate!! Debbie is making bows that use 1/5 yard of ribbon each. If Debbie has 3 yards of ribbon how many can she make. Is this division or multiplication pls tell me that too.
Given the data 12 ,39, 21, 18, 24, 17, 12, 25, what is the outlier
a12
b25
c39
d24
C is the answer, 39 is the outlier