y= 2x² + 36x + 170
(Find the vertex, show steps)
Answers
Find the vertex of x²+18x+85
This is written of the form ax²+bx+c
a=1, b=18, c=85
The axis of symmetry is -b/2a
The axis of symmetry is the x term of your vertex (h,k)
So we have
h=-(18)/2
h=-9
k=f(-9) given that f(x) is x²+18x+85
(-9)²+18(-9)+85
81-162+85
-81+85
4
So your k value is 4
So because you’re vertex is (h,k) and since we found that h=-9 and k=4, your vertex is (-9,4)
Related Questions
a=20 cm
b=48 cm
What is the length of c?
Answers
Write an equation that relates the sale price, s, to the original price p.
Answers
Answer:
s= px
Step-by-step explanation:
10. You want to be able to withdraw $30,000 each year for 25 years. Your account earns 8% interest. a. How much do you need in your account at the beginning? b. How much total money will you pull out of the account? c. How much of that money is interest?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Rate (r) = 8% =. 0.08
Period (t) = 25 years
Yearly withdrawal = cashflow = P= $30,000
Using the present value formula (PV) :
Present Value (PV) = P[(1 - (1 + r)^-n) / r]
PV = 30000((1 - (1 + 0.08)^-25) / 0.08)
PV = $320,243.29
B.) Total amount pulled out :
Yearly withdrawal * number of years
$25000 * 25 = 625,000
C.)
Interest :
$625000 - $320,243.29 = $304,756.71
what is the speed of an object that travels 210 miles in 7 hours
Answers
Answer:
30 miles per hour.
Step-by-step explanation:
Answer:
The speed of the object is 30 miles per hour.
Step-by-step explanation:
210÷7=30
Could I please have BRAINLIEST?
Please help due tomorrow..URGENT!! will mark brainliest
Answers
Answer:
i would recommend not posting pictures because i cannot see them
Step-by-step explanation:
Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)
Answers
Answer:
V(x) = (17 - 2x)(11 - 2x)x
Step-by-step explanation:
We are told that She is making an open top box. This means the box will have only 5 faces.
Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.
Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.
Thus, measurement of width from the 11 inches paper = (11 - 2x)
Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;
(17 - 2x)
Now,recall that a side of the square is x.
Thus, the depth is x.
Now, volume of a box is given by;
V = length x width x depth
Thus, in this case;
V(x) = (17 - 2x)(11 - 2x)x
Two thirds of 148 seventh
graders buy their lunch at
school. How many students
is this?
Answers
Answer:
if you round, its 99. if you ignore the decimal, its 98
Step-by-step explanation:
2/3 of 148 is 98.66
Slope 6, passing through (-4,2)
Answers
y-y1=m(x-x1)
y-2=6(x-(-4))
y-2=6x+24
y=6x+24+2
y=6x+26
if you walk 10 miles in 10 hours, how fast are you going?
Answers
Answer:
1 mph
Step-by-step explanation:
Answer:
1 mile per hour since 10 miles in 10 hours is obviously how much you walk when you have been walking for 10 hours you to have walked at least 1 mile each hour.
Step-by-step explanation:
equation
2x-1/4+x/3=2
Answers
Answer:
x=27/28
Step-by-step explanation:
Let's solve your equation step-by-step.
2x−14+x3=2
Step 1: Simplify both sides of the equation.
2x−14+x3=2
2x+−14+13x=2
(2x+13x)+(−14)=2(Combine Like Terms)
73x+−14=2
73x+−14=2
Step 2: Add 1/4 to both sides.
73x+−14+14=2+14
73x=94
Step 3: Multiply both sides by 3/7.
(37)*(73x)=(37)*(94)
x=27/28
Answer:
x=27/28
3.94x+36 =15.5236+
6x
Answers
Answer
i think its 9.94
Step-by-step explanation:
Answer:
x = 9.94
Step-by-step explanation:
Which linear equation has no solution?
CLEAR
SUBMIT
+6)=6x + 4
52 + 12 = 50 - 7
4.3 + 7 = 3.2 + 7
-3(2x - 5)= 15 - 63
Tuoe heret
Answers
Answer:
+6)=6x + 4 x=1/3
52 + 12 = 50 - 7 False
4.3 + 7 = 3.2 + 7 False
-3(2x - 5)= 15 - 63 x = 21/2
Step-by-step explanation:
an estimation we are told 5 miles is 8 km.
Convert 96 km to miles
Answers
Answer:
60 miles.
Step-by-step explanation:
5/8=x/96
8x=480
x=60
help please show steps please I don't know what to do so I want to learn not just get the answer
Answers
Larry is putting a row of rocks around his rectangular pool. Which descriptive model will tell him how many rocks he needs?
[2(pool length) + 2(pool width)] times the width of the rocks
(pool length times pool width) times the width of the rocks
(pool length times pool width) divided by the width of the rocks
[2(pool length) + 2(pool width)] divided by the width of the rocks
Answers
Answer:
P = [2( l)+2(w)] / width of the rock
Step-by-step explanation:
row of rocks around his rectangular pool, this tells us we are finding the perimeter
The perimeter of a rectangle is given by
P = 2( l+w)
P = 2( l)+2(w)
But we know that the length takes into account the width of the rock so divide each side by the width of the rock
P = [2( l)+2(w)] / width of the rock
What is the slope of y=-1/2x+3
Answers
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given : A linear equation in two variables is given to us , which is y = -½ + 3 .
To Find : The slope of the line .
Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,
[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]
Where , m is the slope of the line and c is the y - intercept of the line .
Now , on comparing the equation with the standard form , we have :
m ( slope ) = -½ .c ( y - intercept ) = 3 .Hence the slope of the line is -½.
Before i thought the dividing functions
Answers
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
Answers
Answer:
5 cents
Step-by-step explanation:
If bat + ball = 1.10 and the bat is a dollar more you know that the bat must cost at least 1 dollar. Divide the ten cents by two to split it evenly between the two and $1.05 is one dollar more than 5 cents
Six potted plants cost $48, at this rate what is the cost per plant?
Answers
Answer:
cost per plant is 8 dollars
Step-by-step explanation:
48÷6=8
8×6=48
Answer:
Step-by-step explanation:
Cost of six potted plants = $ 48
Cost of one potted plant = 48 ÷ 6
= $ 8
HELPPP 30+ POINTS
.
.
.
.
Answers
Answer:
e:
ratio is smaller then number 1
so is between 0 and 1
To which subsets of numbers does 30/15 belong ?
Answers
30/15 = 2
Since 2 is a natural number, a whole number and an integer, so is 30/15.
i need with help again (-70)-(-7)
Answers
Plz Help, i really dont understand this, and I'm taking a timed test!
Solve for x: −3|x + 7| = −12 (2 points)
A. x = 5 over 3 , x = − 19 over 3
B. x = −3, x = −11
C. x = −3, x = 11
Answers
Answer:
B. x = −3, x = −11
Step-by-step explanation:
−3|x + 7| = −12
-3x - 21 = -12 and -3x - 21 = 12
-3x - 21 = -12
-3x = 9
x = -3
-3x - 21 = 12
-3x = 33
x = -11
Write a quadratic function f whose zeros are - 5 and 7.
Answers
If we FOIL those two terms [x*x = x2; x*-7 = -7x; x*-5 = -5x; -5*-7 = 35] and combine the like terms, we're left with one of many quadratic function
Answer
x2-12x+35
£1=$1.62
£650 in dollars
$405 in Pounds
Answers
605 pounds is 840.25 dollars
405 dollars is 313.30 pounds
Answer:
£650= 840.25$
$405= 313.30£
Step-by-step explanation:
Is this equation an example of a literal equation? Why?
Answers
Answer:
yes this is...,.,.,.....
I need help with this asap plz
Answers
can't see the number thats on top of 4 at the end
if its 11 then the answer is x= -6
Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
[tex]64=-\frac{15}{4} (2x-\frac{2}{3} )-\frac{11}{4} x[/tex]
[tex]64=-\frac{3*5}{2^2}(\frac{3(2x)+-2}{3})-\frac{11}{2^2}x[/tex]
[tex]64=-\frac{3*5}{2^2}(\frac{3(2x)+-2}{3})-\frac{11x}{2^2}[/tex]
[tex]x=-6[/tex]
Olivia is making chocolate chip pancakes for breakfast. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. When she checks her kitchen for ingredients she realizes she has 3 8 quart of milk and 18 8 cups of flour. Does she have the correct amount of milk and flour to make the pancakes from the recipe? Explain.
Answers
Given:
The recipe calls for 0.5 quart of milk and 2.5 cups of flour.
She has [tex]\dfrac{3}{8}[/tex] quart of milk and [tex]\dfrac{18}{8}[/tex] cups of flour.
To find:
Whether she have the correct amount of milk and flour to make the pancakes from the recipe.
Solution:
Required Milk = 0.5 quart
Milk she has = [tex]\dfrac{3}{8}=0.375[/tex] quarts
Clearly, 0.375 < 0.5.
Required Flour = 2.5 cups
Flour she has = [tex]\dfrac{18}{8}=2.25[/tex] cups
Clearly, 2.25 < 2.5
Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe
Isabella owns a rectangular lot with an area of 9/32 SQAURE mile. If the length of the western side of her lot is 3/4 mile, what is the length of the northern side?
Answers
Answer:
as below
Step-by-step explanation:
9/32=3/4 * y/x
becasue this is multiplication of fractions , its' not too tough to figure out 3 times what makes 9 and 4 times what makes 32
y=3
x=8
so the answer is 3/8 mile
The length of the northern side of a rectangular plot is 3/8 mile.
Here,
Area of rectangular lot = 9/32 square mile.
Length of the western side of lot = 3/4 mile.
We have to find the length of the northern side.
What is Area of rectangle?
The area of a rectangle is product of length and width.
Now,
Area of rectangular lot = 9/32 square mile.
Length of the western side of lot ( width ) = 3/4 mile.
Let the length of the northern side ( length ) = x mile
So,
Area of rectangle = length x width
[tex]\frac{9}{32} = x * \frac{3}{4} \\\\x = \frac{9}{32} *\frac{4}{3} \\\\x = \frac{3}{8}[/tex]
Hence, The length of the northern side of a rectangular plot is 3/8 mile.
Learn more about the area of rectangle visit:
https://brainly.com/question/28337358
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Gabe earns $10 per hour working for a landscaping business. He earned a raise to $10.75 per hour.
What is the percent increase of Gabe’s wages? If necessary, round your answer to the nearest tenth of a percent.