Hey there! I'm happy to help!
First, we'll want to find the vertex of this parabola.
Given the equation y=ax^2+bx+c, the formula for the x-coordinate of the vertex is always [tex]-\frac{b}{2a}[/tex].
In our equation here, our a is 1 and our b is -2.
[tex]-\frac{-2}{2}=\frac{2}{2}=1[/tex]
Now that we have our x-value of our vertex, we can plug it into our equation to find our y-coordinate.
y=1²-2(1)-5
y=1-2+5
y=-1+5
y=4
So, our vertex is at (1,4).
Vertex form is y=a(x-h)²+ k where (h,k) is our vertex. We know now that our vertex is (1,4) and we also know that our a is 1, so we can simply plug it in to this equation.
y=(x-1)²+4
Have a wonderful day and keep on learning! :D
Re-write the equation 3 x minus y = 4 in slope-intercept form.
a.
y = 3 x minus 4
c.
y = negative 3 x minus 4
b.
y = 3 x + 4
d.
y = negative 3 x + 4
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
3x - y = 4 ( subtract 3x from both sides )
- y = - 3x + 4 ( multiply through by - 1 )
y = 3x - 4 → A
Please help
I’ll give brain-lest
Answer:
TU = 29
Step-by-step explanation:
TU + UV = TV , substitute values
9x + 2 + 5 = 14x - 8 , that is
9x + 7 = 14x - 8 ( subtract 14x from both sides )
- 5x + 7 = - 8 ( subtract 7 from both sides )
- 5x = - 15 ( divide both sides by - 5 )
x = 3
Then
TU = 9x + 2 = 9(3) + 2 = 27 + 2 = 29
Which variable is dependent temperature or time of day? Which variable is independent?
Answer:
The temperature depends on the time.
The independent variable is the variable the experimenter manipulates or changes.
Hope it helps you.can u solve it? what is5/7+4/5=?
please tell me this is homework for 8th grade bc i am in 8th so plz help me im not very good at math
Step-by-step explanation:
5/7+4/5
LCM of 5,7 is 35
So,
25+28/35
53/35
Answer:
53/35
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
PLEASE HELP ME!!!
There are 21 squares in all. How many squares are covered? Mark the correct answer.
A:6 B:9 C:12 D:18
Insert grouping symbols to make each number sentence true 7*8-6+3=17
Answer:
7*(8-6)+3
Step-by-step explanation:
Grouping symbols are parentheses; trial and error can lead you to this answer.
Checking, we must use order of operations (PEMDAS). First, we evaluate what's inside parentheses.
7 * 2 + 3
Then multiply:
14 + 3
Then add
17
Can I get some help on this ?
Answer:j r f a h
Step-by-step explanation:
Solve for (x,y,z)
x + 5y + 5z = -10
x + y +z= 2
x + 2y + 3z = -3
Answer:
(5, -1, -2)Step-by-step explanation:
Given system:
x + 5y + 5z = -10 x + y + z = 2 x + 2y + 3z = -3Eliminate one of the variables.
Subtract the second equation from the first and from the third equation:
x + 5y + 5z - x - y - z = -10 - 2 ⇒ 4y + 4z = -12 ⇒ y + z = -3x + 2y + 3z - x - y - z = -3 - 2 ⇒ y + 2z = -5Now subtract the first equation above from the second to solve for z:
y + 2z - y - z = -5 + 3z = -2Find y:
y + z = -3y - 2 = -3y = 2 - 3y = -1Now find x:
x + y + z = 2x - 1 - 2 = 2x - 3 = 2x = 2 + 3x = 5The solution is:
(5, -1, -2)Cal can make 6 bracelets in 2 hours. How many bracelets can he make in 3 hours?
Answer:
9 bracelets
Step-by-step explanation:
Divide 6/2 = 3 bracelets per hour
3 bracelets * 3 hours = 9 bracelets
Answer:
9Step-by-step explanation:
bc i say so
helppppppppppppppppppppppppppppppppppppppppppppp
Determine what type of transformation is represented.
A. translation
B. reflection
C. rotation
D. none of these
Answer:
B
Step-by-step explanation:
Four times the sum of three and a number
Answer:
4*3+X
IGNORE THIS JWINFWONDIWJFIENFIWKQPXK
Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.
You are given and point C. Construct a line parallel to that passes through point C.
Student A Steps:
Student B Steps:
Draw a line that intersects points B and C.
Draw a line through point C and point G.
Keep the compass at the same width, and place it on point C.
Keeping the compass at the same width, place it on point F.
Mark the intersection of the two arcs as point G.
Open the compass to the width between points D and E.
Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.
Swing an arc that crosses line BC, and label the point F.
Swing an arc that intersects the arc created from line BC at point C.
Draw a line that intersects points B and C.
Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.
Keep the compass at the same width, and place it on point C.
Swing an arc that crosses line BC, and label the point F.
Open the compass to the width between points D and E.
Keeping the compass at the same width, place it on point F.
Swing an arc that intersects the arc created from line BC at point C.
Mark the intersection of the two arcs as point G.
Draw a line through point C and point G.
Answer:
Step-by-step explanation:
As it is impossible to understand who have done what ,
the correct construction should be :
You are given point A, point B and point C.
Construct a line parallel to that line AB passing through point C.
1) Place the compass on point B, and swing an arc that crosses line AB and line BC.
Label the points D and E.
2) Keep the compass at the same width, and place it on point C.
3) Swing an arc that crosses line BC, and label the point F outside the segment [BC] .
4) Open the compass to the width between points D and E.
Keeping the compass at the same width, place it on point F.
5) Swing an arc that intersects the arc created from line BC at point C.
6) Mark the intersection of the two arcs as point G.
7) Draw a line through point C and point G.
You just have to discover who has done that.
6+(-2) is __ units from 6, in the __ directon
Answer:
4 is 2 units from 6, in the east direction (of a graph)
answer is fast plz please please please
Please help thanks .
Answer:
2
Step-by-step explanation:
Answer:
2x+2y=2
Step-by-step explanation:
2x+2y=....
So you substitute x for 4 and y for -3.
Which would will give you 2(4)+2(-3). 2·4+2·3 which would give you 8+-6
Then you would add 8 and -6.
8+-6
That should give you 2.
Given the piecewise function shown below, select all of the following statements that are true
Answer:
A and C
Step-by-step explanation:
A
when x = 2 , that is x > 1 then f(x) = x² , that is
f(2) = 2² = 4 ← True
B
when x = 5, that is x > 1 then f(x) = x² , that is
f(5) = 5² = 25 ≠ 1 ← not true
C
when x = 1 then f(x) = 5 , that is
f(1) = 5 ← True
D
when x = - 2 , that is x < 1 , then f(x) = 2x , that is
f(- 2) = 2(- 2) = - 4 ≠ 4 ← not true
find the simple interest of rupees 12000 invested at 8% per year is rs 6720 find the no of years
[tex] \large \mathfrak{Solution : }[/tex]
According to formula :
[tex] \boxed{ \boxed{simple \: \: interest = \frac{p \times r \times t}{100} }}[/tex]
[tex]6720 = \dfrac{12000 \times 8 \times t}{100} [/tex][tex]6720 = 120 \times 8 \times t[/tex][tex]t = \dfrac{6720}{120 \times 8} [/tex][tex]t = 7\: \: years[/tex][(30 + 6) − 3^2] ÷ 9 ⋅ 2
Answer: 6
Step-by-step explanation:
[tex]((30+6)-3^{2})\div9\times2\\(36-9)\div9\times2\\(27)\div9\times2\\3\times2\\6[/tex]
Answer:
135/46
Step-by-step explanation:
30+6=36
3^2 = 9
36-9=27
27/9.2=135/46
Compare negative square root of 7 and -3.12345
Answer: Square root of negative 7 is greater than -3.12345
Step-by-step explanation: Since the square root of -7= 2.64575131 i (A positive number) Then it's greater, since the positive number is always greater than the negative numbers, because the negative numbers are further below zero than the positive number, if there is a number below the zero and a number above the zero, the one above the zero is greater, because it's a positive number, the one below 0 is negative.
HELPP PLEASE NEED ASAP!!
Answer:
I agree with the answer above me
Step-by-step explanation:
You can give the brainliest to them
HELP!! Will mark as brainliest!!!
In school, pupils study one language.
They choose either French, Spanish or Italian.
3/20 of the pupils study Italian and 5/8 of the pupils study French
What fraction of the pupils study Spanish?
Answer:
19/40
Step-by-step explanation:
mark meeeeeee
a chemist is using 382 milliliters of a solution of acid and water. If 18.4 % of the solution is acid, how many milliliters of acid are there? round answer to nearest tenth.
Answer:
61.1 milliliters of acid
Step-by-step explanation:
You find the 18.4 percentage of 382
HELP PLEASEEEEEEEEEEE
Answer:
The answer you have selected is correct.
Step-by-step explanation:
Answer:
X^2 - 7xy + y^2 +2y
Step-by-step explanation:
For this, they are just trying to test if u know how to expand the brackets, especially for the one on the right, since that is a negative infront of the bracket, u would need to multiply negative to all the values in that bracket
I have 0 thousands 17 tens 0 hundreds and 10 ones. What am I?
Step-by-step explanation:
I hope U like my answer and my answer helped U...9. Arrange 3 519;3951; 3191 in descending order.
Answer:
3951>3519>3191
Step-by-step explanation:
hope you understood how
Does anyone know what math topic this is?
Answer:
If you're talking about things like Algebra and Geometry, its Geometry
If you're not, can you be more specific ? :D
Answer:
Geometry (trigonometry)
Step-by-step explanation:
Trigonometry is the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry which I believe is the problem you are on.
Hope this helps <3
Find the numerical value, if x = 3 and y = 2.
4x + Зу -2
5y + 3
Answer:
4(3) + 3(2) - 2 = 16
5(2) + 3 = 13
Step-by-step explanation:
You insert the numerical values given for the variables X and Y.
Rewrite in simplest terms. 8r-2(7r+9)
Answer:
answer is the pic down below
Step-by-step explanation:
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 116.4-cm and a standard deviation of 0.8-cm. For shipment, 29 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 116-cm.
Answer:
Calculate lengths from each of the lengths (116.4 & 0.8), using the well known formula z = (x-μ) / σ.
Look up the Probabilities associated with those two lengths
Subtract the lesser probability from greater of these two probabilities, to get probability 0.8 in the associated interval.