Answers
Given:
The graph of a quadratic function [tex]y=x^2-4x+3[/tex].
To find:
(a) The coordinates of the turning point.
(b) The roots of the equation [tex]y=x^2-4x+3[/tex]
Solution:
(a)
From the given graph it is clear that first the graph is decreasing after that it is increasing. So, the minimum point is the turning point.
The turning is at (2,-1) because the distance between the turning point from the y-axis is 2 and from the x-axis is 1 in the downward direction.
Therefore, the coordinates of the turning point are (2,-1).
(b)
The x-intercepts are the roots of an equation because roots are the x-coordinates of the points where the graph intersect the x-axis.
From the given graph it is clear the graph intersect the x-axis at x=1 and x=3.
Therefore, the roots of the given equation are 1 and 3.
Related Questions
A customer wants to tip 25% on a restaurant bill that is $55. What will be the tip that should be left?
Answers
Answer:
$13.75 as the tip
Step-by-step explanation:
25% of 55$ = $13.75
Simple math questions pls help me out
Answers
Answer:
True, True, False, True, False for part 1
Step-by-step explanation:
Make me brainliest
Answer:true,true,false,true part one
Step-by-step explanation:
Does the table represent an exponential function? Explain.
A. Yes, the x-values decrease by a constant amount and the y-values are multiplied by a constant amount.
B. No, the x- and y-values show a quadratic relationship only.
C. Yes, the x-values increase by a constant amount and the y-values are multiplied by a constant amount.
D. Yes, the y-values increase by a constant amount and the x-values are multiplied by a constant amount.
Answers
Answer:
No, because as the x-values are increasing by a constant amount, the y-values are not being multiplied by a constant amount.
Step-by-step explanation:
We have a set of ordered pairs of the form (x, y)
If a function is exponential then the ratio between the consecutive values of y, is always equal to a constant.
This means that:
\frac{y_2}{y_1}=\frac{y_3}{y_2}=\frac{y_4}{y_3}=by1y2=y2y3=y3y4=b
This is: y_2=by_1y2=by1
Now we have this set of points {(-1, -5), (0, -3), (1, -1), (2, 1)}
Observe that:
\begin{gathered}\frac{y_2}{y_1}=\frac{-3}{-5}=\frac{3}{5}\\\\\frac{y_3}{y_2}=\frac{-1}{-3}=\frac{1}{3}\\\\\frac{3}{5}\neq \frac{1}{3}\end{gathered}y1y2=−5−3=53y2y3=−3−1=3153=31
Then the values of y are not multiplied by a constant amount "b"
shopkeeper sells tins of the same dog food in packs of four or packs of six.
Packs of four tins cost £1. Packs of six tins cost £1.20
Which is the best value for money?
You must show your working.
Answers
Answer:
Pack of 6
Step-by-step explanation:
Pack of 4 = £1
Packs of 6 = £1.20
Price per unit of each pack:
Pack of 4 ;
Unit price : cost / units
Unit price = £1 / 4 = £0.25
Pack of 6 ;
Unit price : cost / units
Unit price = £1.20 / 6 = £0.20
Pack of 6 is the best value for money as it has a lower unit price
solve the simultaneous Equation
3/x- 4/y= 1/3
Answers
Answer:
a simultaneous equation is a set of equations. you need at least another equation.
Answer:
Step-by-step explanation:
Let's solve for x.
3x−4y= 1/ 3
Step 1: Add 4y to both sides.
3x−4y+4y= 1/ 3 +4y
3x=4y+ 1/ 3
Step 2: Divide both sides by 3.
3x/ 3 = 4y+ 1/ 3
3 x= 4/ 3 y+ 1/ 9
Answer:
x= 4/ 3 y+ 1/ 9
Let's solve for y.
3x−4y= 1/ 3
Step 1: Add -3x to both sides.
3x−4y+−3x= 1/ 3 +−3x
−4y=−3x+ 1/ 3
Step 2: Divide both sides by -4.
−4y/ −4 = −3x+ 1/ 3
−4 y= 3/ 4 x+ −1/ 12
Answer:
y= 3/ 4 x+ −1/ 12
Which of these is a geometric sequence?
4,2,1, , ....
3,6,9,12,...
3, -15,-33, -51,-69,...
2,3,5,9,17,...
Answers
Answer:4,2,1,1/2,1/4
Step-by-step explanation:the other guy was wrong (for aP exusers) heres the answer that was right for me
NEED HELP ASAP!!
Use Pythagorean Theorer to solve. Round to the nearest tenth
1.5 in
0.9 in
х
Answers
Answer: 1.2 in
Step-by-step explanation:
The pythagorean theorem states that a²+b²=c². Thus, 0.9²+b²=1.5².
1.5²=2.25
0.9^2=0.81
0.81 + b² = 2.25
1.44 = b²
b = 1.2
Hope it helps <3 :)
Find the measure of angle b
Answers
Answer:
77
Step-by-step explanation:
180-103=77
usidjxxjxhxuxhxjxjhxhxhxhxjxhxhxhxj
To find 40% of 75, Priya calculates 2/5⋅75. Does her calculation give the correct value for 40% of 75? Explain how you know.*
Answers
Answer:
Answer: Yes , priya calculated correctly . The value of 40% of 75 is 30
Step-by-step explanation:
Find the volume of a cylinder with a height of 6 cm and a radius of 3 cm.
A. 108 pi cm^3
B. 36 pi cm^3
C. 18 pi cm^3
D. 54 pi cm^3
Answers
Answer:
D
Step-by-step explanation:
Step 1: (3)^2*6pi
Step2: 54 pi cm^3 Ans
Answer:
169.71
Step-by-step explanation:
FIRST PUT THE VALUES IN THE FORMULA OF VOLUME OF CYLINDER i.e. V= πr^2 h then evaluate the values as V=22/7(3)^2(6) =169.71cm^3
It says solve for the variable can you help me
Answers
Answer:
X=37
Step-by-step explanation:
Add 4x+2 and 30 it equals to 180. Then you get x.
What comes next in this pattern?
Answers
Answer:
П П
П
П П
П
П П
П
Step-by-step explanation:
the pattern goes 10, 9, 16, 16, 10, 9, 16, 16, 10, 9, 16, 16, 10...…
File is attached to question
Answers
Helpppppppppppppppppppp
Answers
5 3/5
6 5/6
4 2/3
10 1/3
11 2/3
A right rectangular prism has a square base with a side length of 3 inches. The height of the prism is 8 1/4inches. What is the volume of this prism?
Answers
Answer:
Step-by-step explanation:
V = 3*3*8.25= 74.25 cubic inches
please help, no need to show work :)
Answers
Answer:
1 and 8 alternate exterior angles
4 and 5 - alternate interior angles
6 and 7 - vertical angles
4 and 8 - corresponding angles
3 and 5 - consecutive interior angles
1 and 2 - linear pair
Step-by-step explanation:
WILL GIVE BRAINLIEST, PLEASE ANSWER QUICKLY. (look at picture)
Answers
Answer: 1/14, 2/28.
Step-by-step explanation:
2/7 x 0.25 =
Convert 0.25 into a fraction.
0.25 = 1/4.
Multiply the numerators together and then multiply the denominators with each other.
1/4 x 2/7 = 2/28.
Therefore, the answer is 2/28, but it can also be simplified to 1/14. So the answer is the first one, or 1/14.
Answer:
1/14 or A
Step-by-step explanation:
0.25 as a fraction is 1/4
1/4 x 2/7 = 2/28, simplify to become 1/14, and there is your answer
(could i have brainliest if possible?)
Help guys I really need it
Answers
Answer:
yes it does
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Use properties of operations to complete the equivalent expression. 5(y+9)=___y+___ 5(y+9)=nothingy+nothing
Answers
Answer:
5y+45
Step-by-step explanation:
I need help pls...ty :)
Answers
Answer:
132
Step-by-step explanation:
because area is when you multiply 2 numbers and if you multiply 12 and 11 you will get 132 u welcome
When placed near a second charge, a 60-μC charge experiences a force of 0.30 N. What is the electric field strength at the location of the 60-μC charge? What is the strength of the electric field at the location of the test charge?
Answers
Answer:
[tex]E=5000N/C[/tex]
Step-by-step explanation:
From the question we are told that
Charge [tex]q= 60 \mu C[/tex]
Force [tex]F_=0.30N[/tex]
Generally the equation for electric field strength is mathematically given as
[tex]E=F/q[/tex]
[tex]E=\frac{0.30}{60*10^-^6}[/tex]
Therefore
[tex]E=5000N/C[/tex]
the number7 less than z is_______
Answers
Answer:
z-7 is correct
The solution to 5 - 3x > 35 is either x > -10 or -10 > x. Which soultion is correct? Explain how you know.
Answers
Answer:
x < - 10
Step-by-step explanation:
5 - 3x > 35
-3x > 35 - 5
-3x > 30
Divide both sides by 3
-x > 10
Divide both sides by - 1
x < - 10
The inequality sign will change due to the negative sign.
write an equivalent expression.
-2x + 7
Answers
Answer:
7-2x
Step-by-step explanation:
Can someone help me find 10% of 25
Answers
Answer:
2.5 is 10% of 25 you just move it back a placement for 10 percent
Answer:2.5?
Step-by-step explanation:
✨✨Please help✨✨ will mark brainliest
Answers
Answer:
2/3, 62%, 61, 0.6.
Step-by-step explanation:
62% stays 62%
0.6 is 60%
61 is 61%
2/3 is around 66.67%
so the order from greatest to least would be
2/3, 62%, 61, 0.6.
What is the answer HURRY I NEED HELP AND THIS IS DUE TODAY
Answers
Answer:
Step-by-step explanation:
D the width is higher than the pressure of it (32h) so that would mean younger 2) 3425 psi of worth
Find the length of the third side. If necessary, round to the nearest tenth.
Answers
Answer:
7.8
Step-by-step explanation:
1. 5^2 +6^2=x^2
2. 25+36 = x^2
3. 61=x^2
4. [tex]\sqrt{61}[/tex] = 7.8
do i add 40 + 45? Or multiply
Answers
Answer:
you add 40+45
Step-by-step explanation:
40+45=85
then you subtract 180 - 85 = 95
then divide x into 95 that will give you x=95
Choose the number line that represents the equation, 2/6 + 3/6 + 2/6 = 7/6
Answers
Answer:
B
Step-by-step explanation:
I hope this helped, please do tell me if the answer is wrong I will fix it with explanation check!