what is the axis of symmetry of the graph of function f(X) = X2 - 10X +16
Answer:
Axis of Symmetry: [tex]x=5[/tex]
Step-by-step explanation:
The axis of symmetry is defined as the line [tex]x=\frac{-b}{2a}[/tex]. Therefore, our axis of symmetry is located at the line [tex]x=\frac{-(-10)}{2(1)}=\frac{10}{2}=5[/tex]. See the graph attached for a visual.
Answer:
x = 5
Step-by-step explanation:
That's f(x) = x^2 - 10x + 16. The coefficients of the x terms are {1, -10, 16}: {a, b, c}.
-b
The formula for the axis of symmetry is x = --------
2a
Here, with a = 1 and b = -10, the formula for this particular axis of symmetry is
-(-10)
x = ------------ = 5
2(1)
or x = 5
Write the equation of the line in slope-interpret form. Explain
Answer:
y = -½x + 4
Step-by-step explanation:
Equation of any line in slope-intercept form is y = mx + b, where,
m = slope = change in y/change in x
b = y-intercept = the point on the y-axis intercepted by the line.
Let's find m and b.
✔️Using two points on the line, (0, 4) and (2, 3),
Slope (m) = change in y/change in x = (3 - 4)/(2 - 0)
m = -1/2 = -½
✔️The line intercepts the y-axis at y = 4.
Therefore,
b = 4
✔️To write the equation of the line, substitute m = -½ and b = 4 into y = mx + b.
Thus,
y = -½x + 4
Lucia is making blackberry jam. She starts with 25 cartons of blackberries. After making 9 jars of jam, she has 10 cartons of blackberries left. Lucia's jars all have the same capacity. Select true or false for each statement.
Answer:
A = true
B = false
C = false
D = True
Step-by-step explanation:
Cartons of blackberries = 25
Jars of blackberry jam made = 9
Cartons of blackberries left = 10
Cartons of blackberry used = Cartons of blackberries - Cartons of blackberries left
= 25 - 10
= 15
Cartons of blackberry used = 15
Cartons of blackberry used per jam = Cartons of blackberry used / Jars of blackberry jam made
= 15/9
= 5/3
A = true
15 jars of blackberry = Cartons of blackberry used per jam × jars of black berry made
= 5/3 × 15
= 75/3
= 25 cartons of blackberry
B = false
She can make 15 jars of blackberry jam using 25 cartons of blackberry
C = false
Cartons of blackberries left = 10
Number of blackberry jam made with 10 cartons of blackberry = Cartons of blackberries left / Cartons of blackberry used per jam
= 10 ÷ 5/3
= 10 × 3/5
= 30/5
= 6
D = True
Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break during her ride. So, d(4) = . This means that after , Joanna .
Answer:
68
Step-by-step explanation:
Total mile cycled, d(t) ;
d(t) = 12t + 20
At d(4)
t = 4 ;
We have;
d(4) = 12(4) + 20
d(4) = 48 + 20
d(4) = 68
After, 4 hours of cycling, Joanna cycled a total distance of 68 miles
PLEASE HELP! VERY EASY
Answer:
3RD
Step-by-step explanation:
A watercolor painting is 19 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 1 inch to each side of the length and the width. What is the area of the mat?
Answer:
240 [tex]inches^{2}[/tex]
Step-by-step explanation:
11 + 1 = 12
19 + 1 = 20
12 x 20 = 240
Remmi wrote the equation of the line y = one-third (x + 2) He solved for x and got x = 3 y minus 2 Which of the following is an equivalent equation for x?
Answer:
x = 3y - 2
Step-by-step explanation:
Given the equation y = 1/3(x+2), we are to make x the subject of the formula;
y = 1/3(x+2)
Cross multiply
3y = x+2
Subtract 2 from both sides
3y - 2 = x+ 2 -2
3y - 2 = x
Swap
x = 3y - 2
This give the required equation
Answer:
hope this helped ^-^
Step-by-step explanation:
Any line with no slope is parllel to the
A) X-axis
B) Y-axis
C) Line y=x
Answer:
I think it could be the X-axis
What Has a central point that stays fixed and everything else moves around that point in a circle- full rotation is 360 degrees.
Answer:
Rotary motion.
Step-by-step explanation:
Motion describes the movement of objects with respect to time.
When an object performs a circular or rotary motion, every point on the object moves around a central point in a continuous manner. Examples of objects that performs circular motion are: blades of an electric fan, rotation of the earth about its axis, the wheel of a moving bicycle etc.
From the cited examples, it would be observed that all points on the objects moves around a fixed central point.
If f(x)
11x + 7, then ,'(x)=1
Enter the correct answer
0000
DONE
Clear all
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Step-by-step explanation:
Hey there!
Given function is f(X) = 11x+7.
Let f(X) be y.
So, y = 11x+7
Interchanging"X" and "y" we get;
X = 11y+7
or, X-7 = 11y
or, y = (x-7)/11
Therefore {f}^{ - 1} (x) = \frac{x - 7}{11} [/tex]
Hope it helps!
what is the ordered pair for 90 degrees on a unit circle
Someone help- I don't know how to solve this- maybe my teacher typed it in wrong? 2.4(m - 3) = 3.8 = -8.2
Answer:
m = 4.58
Step-by-step explanation:
Given equation :
2.4 ( m - 3) = 3.8
So now we open the brackets and multiply the terms.
⇒ 2.4 m - 7.2 = 3.8
⇒ 2.4 m = 3.8 + 7.2
⇒ 2.4 m = 11
⇒ m = [tex]\frac{11}{2.4}[/tex]
⇒ m = 4.58
Therefore, the correct value of the variable m by solving the equation is 4.58
pls i need all of you for asking this question and pls help me
What's the area of it
Answer:
33.5 units²
Step-by-step explanation:
We can see this figure as 2 shapes: a square and a triangle. The square measures 4 x 4, and it's area is 16. That leaves the triangle, which has half the area of a quadrilateral that measures 5 x 7. The area of the quadrilateral is 35, and the triangle has an area of 17.5, which is half of that. Adding them together, we get 33.5.
Answer:
33.5 unit²
it's a mixture of triangle and square.
draw a imaginary straight line across the figure from that line which has length of 3 units and now you can see the triangle and the square. Use the formula to find area of triangle and area of square and the sum of their area will be the area of this whole figure i.e 35.5 unit²
John took 8 hours to drive 320 miles. At this same rate, how far will he travel in 16 hours?
Answer:
640 Miles
Step-by-step explanation:
Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of Two-thirds to make his sketch. How many inches wide is Yuron’s sketch?
36
48
81
84
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
edg 2023
Izzy manages the school baseball and softball teams. Part of his job is taking care of equipment and recording statistics about the players.
resolver
-[(5-8+12] ÷ 9:
Answer:
Are you sure you're not missing any brackets? Cause if you do, the answer might be different
Answer:
-1
Step-by-step explanation:
-[(5-8)+12]÷9
[tex]=-(-3+12)[/tex]÷9
[tex]=-(9)[/tex]÷9
[tex]=\frac{-9}{9} \\=-1[/tex]
Solve using trial and error method.
-7x = 3
Answer:
-3/7
Step-by-step explanation:
if x mangoes cost m cents then the cost of one mango
Answer:
m/x cents
Step-by-step explanation:
Cost of 1 mango = Total cost/total number of mangoes
= m/x cents
Which of the following systems has infinitely many solutions?
a: -y=-4-3x
6x=2y-8
b: y=x+2
7=-x+y
c: x+y=15
3x-2y=3
d: x=y-8
-x-y=0
Answer:
d
Step-by-step explanation:
6.
Find the value of y.
160°
60°
50°
Answer:
where is the figure
Step-by-step explanation:
u should upload the figure too
A square has a perimeter of 36yd. What is the length of each side
Answer:
9
Step-by-step explanation:
There are 4 sides to a square so you would divide 36 by 4.
36/4=9
Umm I Lwk need help lol
Step-by-step explanation:
Hey there!
The Pythagorean identity is: sin²(theta) + cos²(theta) = 1.
So, For finding sin (theta);
Take cos (theta) right side.
sin²(theta) = 1-cos²(theta)
Now, take square on right side from.
sin (theta) = √[1-cos²(theta)] {square changes into square root}
Therefore, sin (theta) = √[1-cos²(theta)].
Hope it helps!
HELP ASAP!! Need correct answer!
Answer:
10
Step-by-step explanation:
I just know. besides, it would take too long to write the explanation. Hope this helps :)
Answer:
it's 7 the answer
I calculate and I solve
Plss this my answer can help you
thank you
PLEASE HELP ME I NEED IT RN
Answer:
(47) c. given
(48) b. definition of complementary
(49) a, m<2 = m<3
(50) d. definition of congruent angles
Step-by-step explanation:
From the given question, the proof can be completed as;
Statement Reason
1. <2 and < 1 are complementary (47) c. given
<3 and <1 are complementary
2. m<2 + m<1 = [tex]90^{o}[/tex] (48) b. definition of complementary angles
m<3 + m<1 = [tex]90^{o}[/tex]
3. m<2 + m<1 = m<3 + m<1 3. Substitution property
4. (49) a, m<2 = m<3 4. Subtraction property
5. <2 ≅ <3 (50) d. definition of congruent angles
Therefore,
(47) c. given
(48) b. definition of complementary
(49) a, m<2 = m<3
(50) d. definition of congruent angles
Let’s say you don’t invest at all, and just put $6000 under your mattress every year. How much money will you have in 40 years?
A bag contains 5 red marbles, 8 green marbles, 6 orange marbles, and 11 yellow marbles. What is the probability of randomly choosing an orange marble?
Answer:
2
please brainliest!
Answer:
1/5
Step-by-step explanation:
Enter the number that goes in the green box
Answer:
the answer must be ±6
Step-by-step explanation:
√36 = ±6
Answer:
6 is the correct answer because✓36 is 6
Function Q: y =1/3x + 2 Identify function Q as linear or nonlinear. State a reason why it is linear or nonlinear.
Answer:
A linear function is written in slope-intercept form as:
y = a*x + b
Where a is the slope and b is the y-intercept.
So any function of this shape, is a linear function, such that when graphed it is a straight line.
In this case, the function you wrote is:
Q: y = 1/3x + 2
Now, if the function is exactly what you wrote, then x is in the denominator:
y = 1/(3*x) + 2
Clearly, this is different than the general linear equation you can see above (here the variable is in the denominator) then in this case Q is non-linear.
If instead, the actual function Q is:
Q: y = (1/3)*x + 2
Then this is a linear equation, where the slope is 1/3 and the y-intercept is 2.