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 should be done first to simplify the expression?
7 - 4 × (3 + 3)2 + 5
Add 5.
Subtract 4 from 7.
Multiply 4 and 6.
Add 3 and 3.
Answer:
3 plus 3
Step-by-step explanation: its in the parenthesis
Answer:
You have to add 3 and 3 first. That has to be done first.
A scale drawing of a living room is shown below:
What is the area of the actual living room in square feet? Round your answer to the nearest whole number.
17 ft2
41 ft2
495 ft2
103 ft2
Answer:
103 ft.
Step-by-step explanation:
Answer:
TrIaNgLe
Step-by-step explanation:
Find the slope between the two given points A(3,7), B(9,-5)
Answer:
Slope= -2
Step-by-step explanation:
Homework Help! ASAP
Question: A 64-ounce bottle of apple juice cost $5.76. A 15-ounce bottle of apple juice costs $1.80. Which item costs less per ounce?
Write the rate for each bottle 64-ounce bottle:
15-ounce bottle:
b. Write the unit rates.
c. Which item cost less per ounce?
Nancy buys 2 large pizzas for her brother's birthday party. The girls at the party eat 78 of a large pizza. The boys at the party eat 58 of a large pizza. Nancy says about 112 pizzas were eaten at the party. Is Nancy correct?
Nancy is wrong because 78 is close to the benchmark 12 and 58 is close to the benchmark 12 and 12 + 12 = 1.
Nancy is wrong because 78 is close to the benchmark 1 and 58 is close to the benchmark 0 and 1 + 0 = 1.
Nancy is correct because 78 is close to benchmark 1 and 58 is close to benchmark 12 and 1 + 12= 112. .
Nancy is wrong because 78 is close to benchmark 1 and 58 is close to benchmark 1 and 1 + 1 = 2.
The answer is C hope it helps
Substitute x=5y into the expression -3x + 11 and simplify
Answer:
-15y+11
Step-by-step explanation:
-3(5y)+11
-15y+11
pls help I will give brainleist and all my points! but you can only get the points if you actually answer!!!!!
Answer:
y(6 1/4) = 11 3/4
Step-by-step explanation:
I hope this helps!! Also sorry if I'm wrong....
A sales person makes $200 each week plus an additional $24 per sale. This sales person wants their weekly paycheck to be at least $500.Which inequality could be used to solve for how many sales () the sales person will have to make to reach or exceed their goal?
Please answer this correctly without making mistakes
Answer:
2 pt + 1c
Step-by-step explanation:
There are 2 cups in a pint. So, 2c = p, dividing 2 from both sides, we get
c = (1/2)p
Replace c with 1/2 p in the equation
5 pt - (2pt + (1/2)p)
= 5pt - 2pi - (1/2)p
= 3pt - (1/2)p
= 2pt + (1/2)p
Replace back (1/2)p for c
2pt + (1/2)p =
2 pt + 1c
At Smith’s Bike Rentals, it cost $27 to rent a bike for 6 hours. How many dollars does it cost per hour of bike use
Answer:
$4.50 per hour
Step-by-step explanation:
Step 1: 27 divided by 6 is 4.50
Step 2: Double check your work by multiplying 4.50 times 6 to make sure you get 27
Write the equation of a line that is perpendicular to y=7x−2 and passes through the point (14,8).(1 point) y=7x−90 y=10x−17 y=−17x+1067 y=−17x+10
Answer:
[tex]\huge\boxed{y=-\frac{1}{7}x+ 10}[/tex]
Step-by-step explanation:
In order to find the equation of this line, we need to note two things.
A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)B) We can substitute a point inside an incomplete equation to try and find a missing value.So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.
Reciprocal of 7: [tex]\frac{1}{7}[/tex] Opposite of [tex]\frac{1}{7}[/tex]: [tex]-\frac{1}{7}[/tex]So the slope of this line will be [tex]-\frac{1}{7}[/tex]. The y-intercept will change, and we can substitute what we know into the equation [tex]y=mx+b[/tex].
[tex]y = -\frac{1}{7}x+b[/tex]
Now, we can substitute a point on the graph (14, 8) into this equation to find b.
[tex]8 = -\frac{1}{7} \cdot 14 + b[/tex] [tex]8 = -\frac{14}{7} + b[/tex] [tex]8 = -2 + b[/tex] [tex]b = 10[/tex]Now that we know the y-intercept, we can finish off our equation by plugging that in.
[tex]y = -\frac{1}{7}x + 10[/tex]
Hope this helped!
Answer:
y=−17x+10
Step-by-step explanation:
shorter version
H
Which side has a length of 10 units?
G
8
O HG
O GJ
4
O HI
OJ
-8
-4
4
8
1
-4
-8
Done
Intro
Answer:
HI sorry for the late answer:>
Step-by-step explanation:
Answer:
it is indeed HI
Step-by-step explanation:
When rationalizing the denominator we multiply by the value of________.
A. 0
B. 1
C. 2
D. 3
Answer: You can multiply both the numerator and the denominator by the same root, that will get rid of the root in the denominator.
Hoped this was helpful!
102 - Harder brackets
Find an expression without brackets
for the area of each rectangle.
(x + 3)
area =
12)
No
calc
р
(-9)
Total
area =
121
Answer:
For figure 1:
Area of rectangle = 7x + 21
For figure 2:
Area of rectangle = [tex]\mathbf{p^2-9p }[/tex]
Step-by-step explanation:
We need to find area of rectangle
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
For figure 1:
Length = 7
Width = x+3
Putting values in formula and finding area of rectangle
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times (x+3)\\Now,\: multiply\:7\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=7(x)+7(3)\\Area\:of\:rectangle=7x+21\\[/tex]
So, area of rectangle = 7x + 21
For figure 2:
Length = p
Width = p-9
Putting values in formula and finding area of rectangle
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=p\times (p-9)\\Now,\: multiply\:p\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=p(p)-p(9)\\Area\:of\:rectangle=p^2-9p\\[/tex]
So, area of rectangle = [tex]\mathbf{p^2-9p }[/tex]
Your high school freshman class consists of 760 students. In recent years, only 4 out of 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years?
a.
190 students
b.
760 students
c.
434 students
d.
1330 students
What is the length of CD to the nearest tenth?
Answer: 9.4
Step-by-step explanation:
if you see on the screenshot if you draw a line between the 2 it mesures 9.4
Answer:
9.4
Step-by-step explanation:
Did the diagnosic
Is the point (4,2) a solution of the equation y = 3x - 13?
No
Yes
Divide. Write the answer in simplest form. 3=6= 8
[tex] \frac{3}{8} \div 6[/tex]
This is literally my hole grade and I need help this is what it looks like-
Answer:
Muhammed
Step-by-step explanation:
(10 points) Suppose you are rolling a fair die 600 times independently. Let X count the number of sixes that appear. (a) What type of random variable is X
Answer:
let me think
Step-by-step explanation:
i want free points
In Randy's town all stand alone store front signs must be exactly 8 feet high. When mounted atop a pole , the combined height of the sign and pole must be less than 20 feet or greater than 35 feet so that they dont interfere with the power and phone lines. Write a compound Inequality to represent the possible above ground height of the pole.
Answer:
[tex]x<12[/tex] or [tex]x > 27[/tex]
Step-by-step explanation:
Given
[tex]Lower\ Bound = 20[/tex]
[tex]Upper\ Bound = 35[/tex]
[tex]Height = 8[/tex]
Required
Represent as a compound inequality
Let the pole height be x:
So, the combine height of the pole and the sign is [tex]x + 8[/tex]
The height must be less than 20ft.
So, we have:
[tex]x + 8 < 20[/tex]
Subtract 8 from both sides
[tex]x + 8 - 8 < 20 - 8[/tex]
[tex]x < 20 - 8[/tex]
[tex]x<12[/tex]
or The height must be less than35ft
So, we have:
[tex]x + 8 > 35[/tex]
Subtract 8 from both sides
[tex]x + 8 - 8 > 35 - 8[/tex]
[tex]x > 35 - 8[/tex]
[tex]x > 27[/tex]
So, the compound inequality is:
[tex]x<12[/tex] or [tex]x > 27[/tex]
The value of a certain account after t years is given by
B = 600 × 1.2t dollars.
How long will it take for the value of the account to increase to $900? Round your answer to one decimal place.
t =
Answer:
1.2 years
Step-by-step explanation:
The value of a certain account after t years is given by :
B = 600 × 1.2t dollars ....(1)
We need to find how long will it take for the value of the account to increase to $900 i.e. we need to find the value of t.
Put B = $900 in equation (1).
[tex]900=600\times 1.2t\\\\t=\dfrac{900}{600\times 1.2}\\\\t=1.2\ \text{years }[/tex]
So, it will take 1.2 years of the account to increase to $900.
And that's the end of animes history
Answer:
Whats your question?
Step-by-step explanation:
Helppppppppp!!!!!! Please
Answer:
x = 4.99°
Step-by-step explanation:
Reference angle = x
Opposite side to x = 20 cm
Hypotenuse = 230 cm
Applying trigonometric ratio formula, we would have the following equation:
[tex] sin(x) = \frac{Opp}{Hyp} [/tex]
Plug in the values
[tex] sin(x) = \frac{20}{230} [/tex]
[tex] x = sin^{-1}(\frac{20}{230}) [/tex]
x = 4.99° (approximated to nearest hundredth)
What is the sum (-19X10) + 7
Answer:
-19×10= -190
-190+7= -183
Solve (9 - 3 x 2)^2 someone help me please im failing
Answer:
9
Step-by-step explanation:
Using PEMDAS, we do what inside the parentheses first.
Multiplication before subtraction:
9-6 = 3.
Finally, 3^2 = 9
You can just pick one or something anything is appreciated
Is it true that x= -5 ? -2(-4x-1)-x+3=−30 Justify your answer.
Answer:
Step-by-step explanation:
here you go mate
step 1
-2(-4x-1)-x+3=−30 equation/Question
step 2
-2(-4x-1)-x+3=−30 distribute
7x+5=-30
step 3
7x+5=-30 subtract 5
7x=-35
step 4
[tex]\frac{7x}{7} =\frac{-35}{7}[/tex] divide
answer
x=-5
Answer:
-2(-4x-1)-x+3=-30
8x+2-x+3=-30
7x+5=-30
7x=-30-5
7x=-35
x=-35÷7
x=-5
Please help me!!!!!!!!!!!!!!!!!!!!!
fill in the blanks please!!
Words you can use are in the picture.
1. A comparison of one number to another by division is a ________.
2.________ name the same comparison.
3. A ratio that compares quantities with different units is a ________.
4. A _______ is a ratio, or rate, that compares a number to 100
5._______ a fraction or a ratio by dividing the numerator and denominator by a common factor.
Answer:
1. Ratio
2. Equivalent Ratios
3. Rate
4.Percent
5.Simplify
Jimmy bought a sandwich. The price is $5 when he got the receipt he needed to pay 6% taxes, and he left a 10% tip how much did he spend?
Answer:
$5.8
Step-by-step explanation:
0.3 + 0.5 + 5 = 5.8