Answer:
y = -⁸/₉(x + 1)² +5Step-by-step explanation:
y = a(x - h)² + k - vertex form of quadratic function with vertex (h, k)
y = a(x - (-1))² + 5 - vertex form of quadratic function with vertex (-1, 5)
y = a(x +1)² + 5
graph goes through (2, -3) so if x=2 then y =-3
-3 = a(2+1)² + 5
-3 -5 = a×3² + 5 - 5
-8 = 9a
a = -⁸/₉
So the equation of the function:
y = -⁸/₉(x + 1)² + 5
true or false: an cubic function may have 3 irrational zeros
The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be
(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6
This has the rational roots x = 1, x = 2, x = 3.
However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.
In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.
Which statement about the lines below is true? 4y=-16 and 3x=27
Answer:
4y=16 is true if you do the problem you can see it wont work and i simplified and got the answer
Step-by-step explanation:
Find all solutions to 3x2 + 2x + 1 = 0
Answer:
x = -3.5
Step-by-step explanation:
3 x 2 + 2x + 1 = 0
6 + 2x + 1 = 0
2x + 7 = 0
2x = -7
x = -7/2 = -3.5
Hope this helped! If not, please let me know! <3
Which pairs of numbers have a greatest common factor of 9
Answer:
81 and 72
Step-by-step explanation:
Answer:
81 and 72
Step-by-step explanation:
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Answer:
14 miles
Step-by-step explanation:
make it into an equation 1.50x+3=24 then solve
which of these is correct? will give brainliest C:
Answer:
$7.50/lb answer A is correct
Step-by-step explanation:
Find the unit cost: $ per pound:
Calculate
$3.00
--------------------
(2/5) lb
It's slightly easier to calculate the equivalent
$3.00
------------- = $7.50/lb answer A is correct
0.4 lb
Answer: D. $1.20 per pound
Step-by-step explanation:
Because 2/5= 0.4 in a decimal form.
If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).
1.20= 1.2
How many different four-digit alarm codes can be formed for a house alarm if
digits cannot be repeated?
Answer:
about 3000
Step-by-step explanation:
The side length of the square shown is tripled.
3 cm
Which percent of increase is greater the percent of increase for the perimeter of the square or the percent of increase for the area? How
much greater?
The percent of increase for the
is greater
It is
% greater
Answer:
The percentage increase for the area is greater
It is 600% greater
Step-by-step explanation:
Here, we have a square of side length 3 cm
The area of the square is L^2 = 3^2 = 9 cm^2
Perimeter of the square = 4L = 4 * 3 = 12 cm
When we triple the length of the square, its new length becomes 3 * 3 = 9 cm
Area here will be 9 * 9 = 81 cm^2
Perimeter = 4 L = 4 * 9 = 36cm
To calculate percentage change, we use the formula;
(new value - old value)/old value * 100%
For the perimeter;
(36-12)/12 * 100% = 24/12 * 100% = 2 * 100% = 200%
For the area;
(81-9)/9 * 100% = 72/9 * 100% = 8 * 100% = 800%
The percentage increase of the area is greater
How much greater? 800% - 200% = 600%
3x + 9 = 2x + 5
One Solution
No Solution
All real numbers
True or False: These two equations are equivalent
5x + 18 = 32
18 = 80
Which word best describes the element in box number 2?
a Brittle
b. Gas
С Semiconductor
d. Shiny
the correct answer is c. hope this helped
Write the equation of the line that passes through the given points.
(0,4) and (5,10)
Answer: y = 6/5x + 4
Step-by-step explanation: The equation is in form y = mx + b, where m is the slope and b is the y-intercept. You already have the y-intercept, which is 4. To find the slope, use rise over run. y2 - y1 / x2 - x1 = 10-4/5-0 = 6/5.
Kay needs to fix part of her fence.She can buy 6 feet of fencing for $32.00 at a fencing store or 10 feet of fencing for $52.50 at a home store.She visits another store that sells 8 feet of fencing for a certain cost.The cost per foot is between that at the fencing store and the home store.How much the store charge for 8 feet of fencing?
Answer
42.66
Step-by-step explanation:
each foot is 5.33 so 5.33 x 8 is 42.66
Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5
Which values are outliers?
5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9
0.8 Outlier
1.1 Outlier
10.2 Not Outlier
10.9 Not Outlier
Helppppp Meeeeee !!!!!!!!!
Answer:
a) draw the triangle using the graph points
b) move the triangle 3 points to the left and 1 point down
c) translation
d) draw this shape
e) write down the coordinates
Step-by-step explanation:
The x-3 in translation tells you to move 3 squares to the left along the x axis in translation and y-1 tells you to move down one on the y axis.
HELPPP me pleaseeeeeeeeeee
Answer: Y=104
Step-by-step explanation: Angle 1 is 2x which means it is 76, 180-76 gives you 104
if 60% people in a city like cricket 30% like football and the remaining like other games
. 50 .
Answer:
is that supposed to be a question
simplify show your work
If the pth term of an A.P. is q and the qth term is p. Prove that its nth term is (p+q-n).
pth term of an AP = q
qth term = p
Prove:nth term of A.P. is (p+q-n).
Proof:We know that,
nth term of an AP (an) = a + (n - 1)d
Hence,
⟹ a + (p - 1)d = q
⟹ a + pd - d = q
⟹ a = q - pd + d -- equation (1)
Similarly,
⟹ a + (q - 1)d = p
Substitute the value of a from equation (1).
⟹ q - pd + d + qd - d = p
⟹ qd - pd = p - q
⟹ - d(p - q) = p - q
⟹ - d = 1
⟹ d = - 1
Substitute the value of d in equation (1).
⟹ a = q - p( - 1) + ( - 1)
⟹ a = q + p - 1
Now,
an = q + p - 1 + (n - 1)( - 1)
⟹ an = q + p - 1 - n + 1
⟹ an = p + q - n
Hence, Proved.
I hope it will help you.
Regards.
Step-by-step explanation:
ANSWER
pth term = q
a+(p−1)d=q
qth term = p
a+(q−1)d=p
Solving these equations, we get,
d=−1
a=(p+q−1)
Thus,
nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)
Give another name for line JK.
Answer:
indecsaty
Step-by-step explanation:
the indecsaty of the line more known as a slope is the other name
Colin predicted whether he got answers right or wrong in his 50 question exam. He identified the 8 questions he thought he got wrong. It turns out that Colin got 5 questions right that he thought he got wrong. Colin also got a total score of 45 out of 50 in the test. What is the percentage accuracy he had with predicting his scores?
Total questions, T = 50.
Colin thought 8 questions were right.
Colin got 5 questions right that he thought he got wrong.
Total score, s = 45.
So, actual number of questions which are wrong are 5.
Score according to him = 50 - 8 = 42.
Now, we know percentage accuracy is given by :
[tex]\% =100- \dfrac{|Actual\ value-Theoretical\ value|}{Actual\ Vlaue}\times 100\\\\\%=100-\dfrac{|45-42|}{42}\times 100\\\\\%=100-7.14 \%\\\\\%=92.86\%[/tex]
Therefore, percentage accuracy he had with predicting his scores is 92.86%.
Hence, this is the required solution.
I need help with number 1 I don’t understand I’ll give BRAINLIEST to whoever helps me the best
Answer:
The answer is B.200
Step-by-step explanation:
145.93×1.37=199.9
We need to multiply because the second team takes the times as longer than the first team. The answer is 200 because we need to roundup 199.9 into 200
Hope it helps :)
What is the value of 120?
Need help filling out the chart for #3
Answer:
Slope intercept equation= y2-y1 over x2-x1
When to use= You know the slope and any point
Write two hundred twenty-two and six thousand five hundred seventeen ten-thousandths as a decimal number.
Answer:
222.617
Step-by-step explanation:
Robert conducts an experiment to measure the temperature of a solution. Due to a defect in the apparatus, the temperature of the solution measured in each trial is 5°F more or less than the theoretical temperature of 11°F of the solution.
The following absolute value equation can be used to determine the temperature of the solution measured by Robert:
|x − 11| = 5.
Here, x represents the measured temperature of the solution in degrees Fahrenheit.
Based on the above information, what is the temperature of the solution as measured by Robert?
A.
The temperature of the solution measured by Robert is 5°F or 6°F.
B.
The temperature of the solution measured by Robert is -6°F or 6°F.
C.
The temperature of the solution measured by Robert is -6°F or -16°F.
D.
The temperature of the solution measured by Robert is 16°F or 6°F.
(x - 3)? > -3(x + 2) for x = 3
Answer:
The Left side (0) is greater then the right side (-15)
Step-by-step explanation:
(x - 3) is greater than -3(3+2)
What algebraic expression could represent the average of 2x, x + 3, and 6x?
Answer:
3x+1
Step-by-step explanation:
(2x+x+3+6x)/3
9x+3/3
3x+1
The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.
This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.
Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.
In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.
Learn more about Expressions here :
brainly.com/question/21751419
#SPJ2
ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?
Answer:hope it helps,
Step-by-step explanation: