Answer:
The coordinates of the vertex will be (-4,-1)
Step-by-step explanation:
Let's recall that the vertex is in the middle point of the roots of a quadratic function.
The root are (-3,0) and (-5,0) so the x-value of the vertex will be:
[tex]x_{vertex}=\frac{-5-(-3)}{2}-3[/tex]
[tex]x_{vertex}=-1-3=-4[/tex]
The y-value of the vertex is given by the minimum value, that is -1
Therefore, the coordinates of the vertex will be (-4,-1)
I hope it hleps you!
Plzz help will mark brainliest don't do it for the points plzz!!!!
so i am hqving trouble with a particular question and hoping somebody could help me with it. this is the particular question 47 + 10x = -10x + 7
Step-by-step explanation:
given 47 + 10x = -10x + 7
[tex]47 + 10x = - 10x + 7 \\ 47 + 10x + 10x = 7 \\ 47 + 20x = 7 \\ 20x = 7 - 47 \\ 20x = - 40 \\ x = - 40 \div 20 \\ = - 2[/tex]
2. Find the 6th term of each geometric sequence
9, 45, 225, 1125,...
Answer:
28125
Step-by-step explanation:
The [tex]n[/tex]th term of your geometric sequence is [tex]9\cdot5^{n-1}[/tex]. This means that the 6th term is [tex]9\cdot5^{6-1}=28125[/tex].
To control an infection, a doctor prescribes a dosage of 200 mg of medicine every 8 hours for an infant weighing 12.1 lb. At this rate, what would the dosage be for an infant weighing 20.8 lb?
Answer:
To control an infection, a doctor prescribes a dosage of 200 mg of medicine every 8 hours for an infant weighing 12.1 lb. At this rate, what would the dosage be for an infant weighing 20.8 lb?
Step-by-step explanation:
ans :- 7.5 ml
The presentation of numerical information in a graph or table is called a data
first two letters di
Answer:
diagram?
Step-by-step explanation:
Answer: display
Step-by-step explanation:
Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction.
Answer:
We have 31/36 gallons of paint left after painting the mural.
Step-by-step explanation:
"Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction."
==================================================================
First change each number into a improper fraction:
1 1/8 = 9/8
1 1/9 = 10/9
7/8 = 7/8
=================================================================
"If Mark has 9/8 gallons of yellow paint, and he uses 3/4 gallons"
-We have to multiply 3/4 by 2/2 to make the denominators same.
3/4 × 2/2 = 6/8
Now subtract 6/8 from 9/8.
9/8 - 6/8 = 3/8
We will have 3/8 gallons of yellow paint.
==================================================================
"If Mark uses 10/9 gallons of green paint, and he uses 3/4 gallons"
- We have to multiply 10/9 by 4/4, and 3/4 by 9/9, to get a common denominator.
10/9 × 4/4 = 40/36
3/4 × 9/9 = 27/36
Now subtract 27/36 from 40/36
40/36 - 27/36 = 13/36
We will have 13/36 gallons of green paint.
==================================================================
"If Mark uses 7/8 gallons of blue paint, and he uses 3/4 gallons"
-We have to multiply 3/4 by 2/2 to get a common denominator.
3/4 × 2/2 = 6/8
Now subtract 6/8 from 7/8.
7/8 - 6/8 = 1/8
We will have 1/8 gallons of yellow paint.
==================================================================
Now, we will add the leftover amounts of paint to find the answer.
3/8 + 13/36 + 1/8
Add "like terms".
4/8 + 13/36
Simplify 4/8 into 1/2
1/2 + 13/ 36
Multiply 1/2 by 18/18 to get a common denominator.
1/2 × 18/18 = 18/36
Substitute 18/36 as 1/2 in the expression.
18/36 + 13/36 = 31/36
So, We have 31/36 gallons of paint left after painting the mural.
==================================================================
Hope I helped, Have a nice day!
-Aadi x
4.019<口<4.192
Can y’all help me pls
Answer:
4.192
Step-by-step explanation:
it the one that is the right side
Help QUICK! Pointless answers will be reported.
A model car is drawn at a scale of 21 to 1. If the model car is 9.2 in long, how long is the actual car in feet?
NEED HELP ASAP
A car rental agency charges $50.00 per day plus $0.18 for each mile driven (x). The total cost for one day's rental can be calculated using the expression below.
$0.18x + $50.00
Using this expression, how much will it cost to rent a car for one day and drive 192 miles?
Answer:
I think it's $50.18 I'm not sure . hope that I helped you .
The drama club was selling tickets to the school play. Adult tickets cost $8.00 each, and student tickets cost $5.00 each. The little theater holds 142 people and was sold out for both Friday and Saturday. The total sales for the two days were $1,940. How many people got tickets for both Friday and Saturday combined
Answer:
108 student tickets, and 176 adult tickets were sold
Step-by-step explanation:
Adult ticket $8 Call the number of adult tickets sold "a"
Student ticket $5 Call the number of student tickets sold "s"
Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284
Then we create two different equations with the information given:
a + s = 284
8 * a + 5 * s = 1948
we can solve for s in the first equation as follows: s = 284 - a
and use it in the second equation
8 a + 5 (284 - a) = 1948
8 a + 1420 - 5 a = 1948
combining
3 a = 528
a = 528/3
a = 176
we find the number of student tickets using this answer in the substitution equation we used:
s - 284 - 176 = 108
Therefore 108 student tickets, and 176 adult tickets were sold.
(I'll mark brainliest)Sam is planning a birthday celebration for his coworker. He drew the map below to show the places he needs to drive to get party supplies. The 'nap has a scale 1 inch to 25 miles.
Sam is currently at the bakery and his next stop is the florist. What is the actual distance, in miles, between the two places?
A. 10.0
B. 27.5
C 62.5
D.75 0
Please find the area of this rectangle.
Answer: third choice A=6x^2-7x-3 inches squared
Step-by-step explanation:
Find the perimeter
xin
X + 4 in
Select the correct response:
• P= x2 + 4x in?
O P = 4x + 8 in
O P = 2x + 4 in
O P = 4x + 8 in?
Answer:
p=X^2+4x
aaaaaaaa is corect a
Maria is training to be a long distance runner. She runs once every day. On the average, each day that Maria has run, she has improved her time by 20 seconds. Today she ran for the fifth time. Her time was 10 minutes 48 seconds. What was Maria's running time the first day she ran?
Answer:
9 mins and 8 secs
Step-by-step explanation:
write a number sentence using "of" to describe what portion of the brownie pan with purchased
Just do the proportions
is my answer rightt!!
Answer:
Siiiiii
Step-by-step explanation:
Evaluate each expression if a = 6, b = 3, and c = 2.
A | 6 + c
B | a - b
C | 2 c
D | a - 1
E | c + 4
F | a/b
G | b ÷ 3
H | ab
NEED HELP ASAP
What type of function is this: y = 4X ?
1:Quadratic
2:Exponential Growth
3:Exponential Decay
4:Linear
Answer:
linear
hope this was helpful
Evaluate 8d, when d=12
Evaluate 75/d (75 divide by d), when d = 5
Evaluate 6p^2 + 8(6 times p to the second power plus 8), when p = 4
Answer:
9615104Step-by-step explanation:
Given:
d = 12 find 8dd = 5 find 75/dp = 4 find 6p² + 8Computation:
d = 12 find 8d
8(12)
96
d = 5 find 75/d
75 / 5
15
p = 4 find 6p² + 8
6(4)² + 8
6(16) + 8
96 + 8
104
Just onve more question
same as the other one
Answer:
x = 2
Step-by-step explanation:
4(5 - 2x) + 3 = 7
Distributive property , multiply (5-2x) by 4:
20 -8 x + 3 = 7
Combine like terms:
23 - 8x = 7
Inverse add and subtract:
23 - 7 - 8x + 8x = 7 - 7 + 8x
16 = 8x
Inverse divide:
16/8 = 8x/8
x = 2
PLEASE HELP THIS IS MY LAST QUESTION!
Triangle JKL is an equilateral triangle with two of its vertices at points J and K. What are the coordinates of point L? Round to the nearest tenth as needed.
Answer:
The X coordinate is 6, since it's midway between J and K. If you draw a midline from L, and running to the midpoint of the line JK, you make two right angled triangle. The length of the midline would be the square root of the difference of the squares of six and three, which is 5.20, which is the offset of the Y coordinate of L from the Y coordinate of J and K, which is 2. Add 5.20 to 2 to get the Y coordinate of L as 7.20. L is therefore (6,7.20)
Answer:
(6, 7.2)
Step-by-step explanation:
Since it is an equilateral triangle, all of the side length must be equal.
Therefore, we know the lengths JK = 6 and JL = 6. If h is the height of the triangle, the Pythagoras's theorem says
(JK/2)² + h² = JL²
putting in the values of JK and JL gives
(6/2)² + h² = 6²
3² + h² = 6²
subtracting 3^2 from both sides gives
h² = 6² - 3²
h² = 27
Taking the square root of both sides gives
h =
[tex] \sqrt[3]{3} [/tex]
h = 5.2
With the value of h in hand, we can now read off the coordinates of L.
The x coordinates of L is 6 (count the boxes along the x-axis until you are under L or halfway between J and K).
The y-coordinates of L is 2 + h = 2 + 5.2 = 7.2 ( how far above the x-axis the triangle is plus the height of the triangle).
A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcyclist stops a half an hour lunch. To reach City B on time, the motorcyclist increases his speed after lunch by 10km/hour. Find the motorcyclists original speed
Answer:
50 km/hr
Step-by-step explanation:
OK, this is how I solved this problem.
Let r = original rate of speed
t = time after the stop to finish the trip
Time for trip without stopping is 225/r
(1) 1.5 + .5 + t = 225/r This is a time equation
(2) 1.5r + t(r + 10) = 225 This is a distance equation
(1) 2 + t = 225/r (2) 1.5r + tr + 10t = 225
2r + tr = 225
tr = 225 - 2r 1.5r + 225 - 2r + 10(225/r - 2) = 225
t = 225/r - 2
-.5r + 225 + 2250/r - 20 = 225
-5r + 2250 + 22500/r - 200 = 2250
-5r^2 + 2250r + 22500 - 200r = 2250r
5r^2 + 200r - 22500 = 0
5(r^ + 40r - 4500) = 0
5(r - 50)(r + 90) = 0
r = 50 or r = -90
The rate cannot be negative, so the original speed 50 km/hr
This not an easy problem and I hope you were able to follow my work
Answer:50km hope that helped pls mark me brainliest :))
50 POINTS- FIND THE VAULE OF X
Answer:
X=11Step-by-step explanation:
[tex]360 - 75 - 17x + 20 = 2(59)[/tex]
[tex]305 - 118 = 17x[/tex]
[tex]187 = 17x[/tex]
》
[tex]x = 11[/tex]
hope it helps...
have a great day!!
please answer this question
Answer:
0.3
Step-by-step explanation:
Enter an expression equivalent to (a^2b^3b)^4 in the form, a^m b^n?.
A circle centered at (–1, 2) has a diameter of 10 units. Amit wants to determine whether (2, –2) is also on the circle. His work is shown below.
The radius is 5 units.
Find the distance from the center to (2, –2).
StartRoot (negative 1 minus 2) squared + (2 minus (negative 2)) squared EndRoot. StartRoot (negative 3) squared + (0) squared EndRoot = 3.
The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius.
Is Amit’s work correct?
No, he should have used the origin as the center of the circle.
No, the radius is 10 units, not 5 units.
No, he did not calculate the distance correctly.
Yes, the distance from the center to (2, –2) is not the same as the radius.
Answer:
3rd
C
Explanation:
Amit's mistake : The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius.
The point (2,-2) is on the circle, and Amit's claim is wrong
How to determine if Amit's work is correct?The given parameters are:
Center = (-1,2)
Diameter = 10 units
Point = (2,-2)
Start by calculating the radius, r
r = diameter/2
r = 10/2
r = 5
Next, calculate the distance from the point to the center using:
[tex]r = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
This gives
[tex]r = \sqrt{(2 + 1)^2 + (-2-2)^2}[/tex]
Evaluate
r = 5
The distance from the center to the point equals the radius of the circle
Hence, the point is on the circle, and Amit's claim is wrong
Read more about circle equations at:
https://brainly.com/question/1559324
#SPJ2
BRAINLIEST TO CORRECT
Answer:
Step-by-step explanation:
1. a line that is parallel to y=3/4x-9 has slope m=___________
Answer:
Hi! The answer to your question is [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
This equation is in y=mx+b or -b which is Slope Intercept form for Graphing basically y is the y intercept and b means slope, you don't have to do anything extra to find the slope when its in Slope Intercept Form all you have to do is look for usually its a fraction but it can also be a number but all you have to look for is the number that comes before b in the equation! If this has helped you please say that this has helped, if it hasn't please tell me what confuses you and i can quickly clear up that confusion! Have a nice day!
Help me find measure of angle 1!
pls help asap no wrong answer pls
Answer:
Answer in explanation
Step-by-step explanation:
Probability of Magic elf =
[tex]p(elf) \times p(magic) \\ = \frac{1}{3} \times \frac{1}{5} \\ = \frac{1}{15} or \: 0.66667[/tex]
Answer:
6.66%
Step-by-step explanation:
There is a 1/3 chance of getting the character you want and 1/5 chance of getting the weapon you want. So the probability is 1/3*1/5=1/15 or 6.66%.