Find the vertex of the parabola. y = negative 4 x squared + 24 x minus 35 a. ( -3, 1) c. ( 3, 1) b. ( -3, -1) d. ( -1, -3)
Answer:
(3, 1)
Step-by-step explanation:
y = -4x² + 24x - 35
Find the vertex by using the formula:
(h, k) → [tex]\displaystyle \Big [ -\frac{b}{2a}, \ f \Big (-\frac{b}{2a} \Big ) \Big ][/tex]In this problem, we have:
a = -4 b = 24 c = -35Using 24 for b and -4 for a, we can substitute these values into the vertex formula:
[tex]\displaystyle -\frac{b}{2a} \rightarrow -\frac{24}{2(-4)} = \frac{-24}{-8} = 3[/tex]The h-value for the vertex is 3.
Now let's plug 3 back into the standard form equation to solve for the k-value of the vertex.
[tex]-4x^2 + 24x - 35 \rightarrow -4(3)^2+24(3)-35 = -36 + 72 - 35 = 1[/tex]The k-value for the vertex is 1.
The vertex of the parabola is (3, 1).
What is the solution set for this inequality 55 > 7cm + 6
Answer:
Answer:
First, we will substitute x for cm, and then graph the equation to find the solution
Step-by-step explanation:
Therefore, the answer is (7,0)
Evaluate the expression 2 + 23 × 5 - 3.
20
39
37
47
The expression after evaluating results in the number 114.
What is BODMAS Rule?BODMAS rule is the rule used when solving expressions involving more than one operations.
It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.
The expression given is,
2 + 23 × 5 - 3
We have to evaluate the expression in the order of BODMAS.
There are no brackets and orders and division.
Start with the multiplication.
2 + 23 × 5 - 3 = 2 + 115 - 3
Next do the addition.
2 + 115 - 3 = 117 - 3
= 114
Hence the value of the expression given is 114.
To learn more about BODMAS Rule, click :
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Can Someone Please Help Me!!!
Now let's assume that you have a newer toilet that uses 6 L per flush, but you are considering upgrading to a dual-flush toilet. If you flush the toilet four times per day, but three of those times you could use the 3 L flush, how many liters of water would you save in 1 year
Answer: 3,285 Liters
Step-by-step explanation:
In the actual case, all your flushes consume 6 L of water.
You flush 4 times per day, then you consume 4 times 6 L per day, this is:
4*6L = 24 L per day.
And in one year there are 365 days, then in one year you consume:
365*24 L = 8,760 L
Now, if you upgrade the toilet, now per day you use:
one time 6 L and 3 times 3 L
Then in day, you use:
1*6 L + 3*3 L = 6L + 9L = 15L
And in the complete year, you will use 365 times that, which is:
365*15 L = 5,475 L
The amount of water that you would save is equal to the difference between the amount that you use in one year with no upgrade (8,760 L) and the amount that you would use in a year if you upgraded your toilet ( 5,475 L)
The difference is:
D = 8,760 L - 5,475 L = 3,285 L
This means that, in this situation, you would save 3,285 liters of water per year if you upgrade your toilet.
What is the slope of the line that passes through
the points (-5, -5) and (6, – 9)?
Will give brainliest pls answer immediately!
Answer:
[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } \\ = \frac{( - 9 - ( - 5))}{(6 - ( - 5))} \\ = \frac{ - 4}{11} \\ slope = - \frac{4}{11} [/tex]
what is 696 divided by 8=?????????????
find the Pecimeter of the figure given below
Step-by-step explanation:
perimeter(P)=3+4+43+4+411Answer:
perimeter= 4+4+3
11
Step-by-step explanation:
....
Greg worked for 4 hours and took two 15 minute breaks if he worked eight hours yesterday how many minutes in brakes did Greg take
Answer: Greg would have taken 4 breaks, you pretty much multiply the breaks by 2 because 4 x 2 is 8 hours and 2 x 2 is 4 breaks. In total he would have taken 4 breaks yesterday for a total of 60 minutes. I hope that this helped you!
Step-by-step explanation:
Anna planted 90 bulbs in 60 minutes minutes. At this rate, how many bulbs can Anna plant in 2.5 hours?
90
150
225
250
Answer: 225
Step-by-step explanation: 90 + 90 = 2hrs. 0.5 hrs = 45, so 90+90+45=180+45=225
Two similar polygons are shown below:
Which transformation was performed on PQRS to form P′Q′R′S′?
a. A dilation factor of 2
b. A dilation factor of 4
c. A dilation factor of 1 over 2
d. A dilation factor of 1 over 4
Answer:
a. A dilation factor of 2
Step-by-step explanation:
S'R'/SR = 2/1 = 2
A. 50 degrees
B. 130 degrees
C. 9 units
D.22 units
E. 13 units
Answer: all i can do hope this helps a bit 2. 130 degrees
5. 13 units
9 x 2/4 =
Nine times two fourths equals
Answer:
9/2
Step-by-step explanation:
9*2/4 = 9*1/2 = 9/2
Answer:
9/2
Step-by-step explanation:
The school store sells pens for $0.70 each and pencils for $0.30 each. Anthony spent $2.70 to buy a total of 5 pens and pencils.How many pencils
did Anthony buy? ___ pencils
Answer:
Pencils=2
Step-by-step explanation:
Pencils-n
-0.70 - 0.70 = -3.5
0.70p + 0.30 = 2.7
-0.4n = -0.8
-0.4 -0.4
n=2
-49-X = -8x + 70
helppp
Answer:
x=17
Step-by-step explanation:Get everything to one side by using addition and subtraction and combine like terms. Once you have that set it equal to zero and put the b in Mx+b on the other side then divide it by m and you’ll have x
Find the range.
3 -9 7 -1 5 -4 2
Answer: The range is 94.
Hope this helps
Sven has a mass of 135.0 grams. On Olaf’s scale, Sven weighs 139 grams. What is the percent error of Olaf’s scale?
Estimate the product of 2 & 4/11 and 16 & 1/5.
A. about 2 × 16 = 32
B. about 2 × 14 = 28
C. about 3 × 16 = 48
D. about 3 × 14 = 42
Answer:
a
Step-by-step explanation:
Determine what is closer to 2 4/11.
you would- 4/11 to get 2
you would +6/11 to get 3.
So 2 is closer
Do the same with 16 1/5
16 is closer
therefore, it is 2*16=32
(4x5)to the power of 2-6+3=
Answer:
if i understood right..
Step-by-step explanation:
... 2-6+3= 1
4×5= 20
1×20=20
the answer is 20.
I'm sorry if i understood the wrong thing.
I need help with this question plz
Answer:
y = 10/3x + 20
Step-by-step explanation:
First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).
m = y₁ - y₂ / x₁ - x₂
m = 30 - 40 / 3 - 6
m = -10/-3
m = 10/3
Now we know the slope is 10/3.
In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.
Hudson wants to ride his bicycle 51 miles this week. He has already ridden 12 miles. If he rides for 6 more days, what is the average number of miles he would have to ride each day to meet his goal?
whats the unit rate for 4/5 chapters in 1/4 hour
Answer:
Unit Rate: 16/5 chapters per hour
Step-by-step explanation:
4/5 divided by 1/4 = 4:5, 4:1 = 4/5 x 4/1 = 16/5
There are 25 students performing in the holiday concert. Of the students, 11 are boys.
What decimal represents the fraction of students that are boys?
Answer:
0.44 (44%) of the students are boys.
Step-by-step explanation:
Hope this helps!
✧◝(⁰▿⁰)◜✧
Please help me with these questions FAST it's formal and I can't faillllllll!!!!!!,
Cheri uses her Tune-It-Up music card to make a $12 purchase of a few of her favorite songs. Which integer represents the effect of Cheri's purchase on the balance of her music card?
A) −$12
B) −$11
C) $0
D) $12
Answer:
Step-by-step explanation:
A, -12
if she had an x amount on her card,
after the buys the songs, she will have x-12 left
Mandi has $52 and would like to buy some magazines. Each magazine costs $8. How many magazines can Mandi buy? How much more money would she need to buy another magazine?
2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …
Answer:
The common difference d is d = -3
The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]
Step-by-step explanation:
We need to find the common difference and the recursive formula.
a. 22, 19, 16, 13, …
First we will find common difference
The formula of arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]
where a_n is nth term, a_1 is 1st term and d is the difference
Looking at the sequence we get: a_1=22, a_2=19
Using these values we can find d, the common difference
[tex]a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3[/tex]
So, the common difference d is d = -3
Now, we will find the recursive formula:
The recursive formula is of type: [tex]a_n=a_{n-1}+d[/tex]
We have found common difference d = -3
So, the recursive formula will be:
[tex]a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3[/tex]
The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]
Question
7 - (-3)=
PLEASE HELP ME!!!
Answer:
10
Step-by-step explanation:
7-(-3)
=7+3
=10
Hope this is helpful
Answer:
10
Step-by-step explanation:
Rise over run (-5,2) and (1,-2)
(4,10) and (-2,-5) slope
Answer/Step-by-step explanation:
6. Given, (-5, 2) and (1, -2):
[tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_2} [/tex]
[tex] = \frac{-2 - 2}{1 - (-5)} [/tex]
[tex] = \frac{-4}{6} [/tex]
[tex] = \frac{-2}{3} [/tex]
9. Given, (4, 10) and (-2, -5):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_2} [/tex]
[tex] = \frac{-5 - 10}{-2 - 4} [/tex]
[tex] = \frac{-15}{-6} [/tex]
[tex] slope = \frac{5}{2} [/tex]
NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Segment DO
Step-by-step explanation:
The first option is not the radius because A is going outside of the circle and it would actually be longer than the radius.
BC is too high up, and it's considered a chord, not the radius.
DE is the diameter, not the radius.
That leaves us with 1 answer remaining.