Answer:
Step-by-step explanation:
The standard form of a quadratic equation is ax² + bx + c, where a ≠ 0.
Given that the axis of symmetry occurs at x = h, then we can assume that the h coordinate of the vertex is the same as the x-coordinate in an ordered pair, (x, y).
In order to find the vertex, (h, k), use the following formula to solve for the value of h:
[tex]h = \frac{-b}{2a}[/tex].
Example:To demonstrate this concept, let's say that we're given the following quadratic equation: 2x² + 8x + 8, where a = 2, b = 8, and c = 8. Substitute the values of a and b into the given equation for solving the x-coordinate (h) of the vertex:
[tex]h = \frac{-b}{2a}[/tex]
[tex]h = \frac{-8}{2(2)} = \frac{-8}{4} = -2[/tex]
Therefore, h = -2.
Next, substitute the value of h = -2 into the given quadratic equation in order to solve for its corresponding y-coordinate (k ) of the vertex:
k = 2x² + 8x + 8
where: a = 2, b = 8, and c = 8
k = 2(-2)² + 8(-2) + 8
k = 2(4) - 16 + 8
k = 8 - 16 + 8
k = 0
Therefore, the vertex of the quadratic equation, 2x² + 8x + 8 is (-2, 0).
Use vertical angles to find the value of x
Answer:
[tex]x = 600[/tex]
Step-by-step explanation:
Let's right our equation
[tex] \frac{x}{4} + 30 = 180[/tex]
This due to our straight angle
Subtract 30 from both sides
[tex] \frac{x}{4} = 150[/tex]
Multiply both sides by 4
[tex]x = 600[/tex]
Brainliest please :)
Principal: $400
Interest rate: 6 percent
What is the interest rate after 3 months?
Answer:
lnteest rate after 3 months is 72
A plane flew at a constant speed between Denver and
Chicago. It took the
plane 1.5 hours to fly 915 miles.
1-3) Complete the table.
Time (Hours)
Distance (Miles)
Speed (Miles Per Hour)
1
1.5
2
2.5
t
First, let's get the unit rate.
1.5 hours for 915 miles, so
[tex]\frac{1.5 hours}{915 miles} = \frac{1 hour}{x.miles}[/tex]
Cross multiplying gives us 1.5x = 915, divide by 1.5, and we get 610 miles. This is the answer for the top left. This means the plane was going 610 mph.
The speed will be constant because it tells us this.
Then, we multiply 610 by the time to fill in the rest of the distances.
For t, we can figure out the distance is 610 times t, as you can see I have written down.
See attached file below.
I hope this helps, have a nice day! :D
Does anyone know the answer please help!! I appreciate it if you can!!!
At a local garden shop, the price of plants includes sales tax. The cost of 4 large plants and 8 medium plants is $40. The cost of 5 large plants and 2 medium plants is $28. If l is the cost of a large plant and m is the cost of a medium plant, write a system of equations that models this situation.
Answer:
4L + 8 m = $40
5L + 2m = $28
Step-by-step explanation:
L = cost of a large plant
m = cost of a medium plant
4L + 8 m = $40
5L + 2m = $28
System of Equations : 8 M + 5 L = 40 ; 5 M + 2 L = 28
Given : Cost of 4 large plants 'L' & 8 medium plants 'M' = 40
Cost of 5 large plants 'L' & 2 medium plants 'M' = 28
So, as per total cost, the equations are :
8 M + 5 L = 40 5 M + 2 L = 28To learn more, refer https://brainly.com/question/23589883?referrer=searchResults
an apple tree in mr braid's orchard is 10 feet 3 inches tall.there are 2.54cm in 1 inch.what is the height of mr.bairds apple tree in cm?
What is a water density thermometer?
A Galileo thermometer (or Galilean thermometer) is a thermometer made of a sealed glass cylinder containing a clear liquid and several glass vessels of varying density. The individual floats rise or fall in proportion to their respective density and the density of the surrounding liquid as the temperature changes.
Isabella is getting older and feels like she should donate her collection of stuffed animals to children who are less fortunate. She has 15 stuffed cats and 10 stuffed dogs, which she wants to divide into identical groups, with no stuffed animals left over.
What is the greatest number of groups Isabella can place her stuffed animals into?
How many cats will be in each group?
How many dogs will be in each group?
Answer:
well for the cats she can do 3 for each and dogs 2 for each
What factors are in both sets
Answer:1 and 3 answer a
Step-by-step explanation:
True or false: Weight which is less than 85% of what is considered normal for age and height is a main characteristic of bulimia nervosa.
The statement refers to anorexia nervosa and not bulimia nervosa. Therefore, the statement is FALSE.
What is Bulimia Nervosa?Bulimia nervosa can be described as an eating disorder whereby an individual eats a lot of food without control and afterwards try to purge themselves to get rid of extra calories.
On the other hand, a similar eating disorder that is characterized with fear of being overfat but also follows with abnormal excessive weight loss is called anorexia nervosa.
Therefore, the statement refers to anorexia nervosa and not bulimia nervosa. Therefore, the statement is FALSE.
Learn more about bulimia nervosa on:
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Darrin orders 24.5 square feet of granite countertop for his kitchen.
If hepays $428.75 for the granite, what is the cost per square foot?
Answer:
17.5$ per square feet
Step-by-step explanation:
Answer:
17.5
Step-by-step explanation:
Anna is reading a 360 page book. She reads the first 60 pages in 5 days.
If Anna is reading a book that 360 pages and have only read 60 pages In the last 5 days then she has 300 pages left to read.
Bridget's mom offered to pay her $5.00 to clean out the refrigerator and freezer, and if she got it done before dinner time at 6:00pm, she would receive a 20% bonus. Not one to pass up an opportunity, Bridget cleaned the refrigerator and freezer by 5:00pm. What is the total amount Bridget received from her mom?
Answer:
$6.00
Step-by-step explanation:
initial pay = $5.00
as she finished cleaning before 6:00pm
bonus = 20% * 5.00
= 20/100 * 5.00
= $1.00
so total pay is 5 + 1
= $6.00
Answer/Step-by-step explanation:
Given:
$5.00
Before 6:00pm = 20% Bonus
Bridget cleaned the refrigerator and freezer by 5:00pm.
To Find:What is the total amount Bridget received from her mom?
Solution: Since Bridget got done before 6:00 pm she get 20% Bonus..
Bonus = 20% * 5.00
= 20/100 * 5.00
= $1.00
Hence, Total amount Bridget received from her mom is 5 + 1= $6.00
Answer: $6.00
[tex]\left[RevyBreeze][/tex]
Rosa put an “blank” cream on the cut on her finger to keep germs out of it
1- interlocking
2-antimedicine
3-antiseptic
4- interrelated
Rosa put an antiseptic cream on the cut on her finger to keep germs out of it.
An antiseptic is a substance that prevents the growth and development of microorganisms, such as bacteria, on living tissues.
When Rosa applied antiseptic cream to her cut finger, she aimed to create an environment hostile to germs. This action helps prevent infections and promotes the healing process.
The term antiseptic is derived from the Greek words "anti," meaning against, and septikos, meaning putrefying. Antiseptics are commonly used for cleaning wounds, disinfecting surfaces, and maintaining personal hygiene. They are milder than disinfectants, which are typically used on inanimate objects.
Rosa's choice of an antiseptic cream demonstrates her understanding of the importance of wound care. The cream likely contained substances that inhibit bacterial growth, such as hydrogen peroxide or iodine. By applying the antiseptic cream, Rosa effectively created a barrier against potential infections. It's crucial to clean and treat cuts promptly, as untreated wounds can lead to more severe health issues.
In summary, the use of an antiseptic cream by Rosa showcases her responsible approach to wound care. Antiseptics play a vital role in preventing infections and supporting the body's natural healing process. By applying an antiseptic cream, Rosa took a proactive step in safeguarding her health and ensuring the well-being of her injured finger.
To know more about Antiseptic here
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NOTE: This is not a Question of Mathematics its from Biology
Find the height of the solid circular cylinder of total surface area 660cm²and radius 5cm.
Step-by-step explanation:
h≈16.01
is the answer mske me brainlist
Answer:
Step-by-step explanation:
Hi there!
Given;
Total surface face (TSA)= 660cm²
Radius (r) = 5cm
Now;
TSA= 2πr( r + h)
660cm²= 2*(22/7)*5 (5+h)
660cm² = [tex]\frac{220}{7}[/tex](5+h)
[tex]\frac{660}{\frac{220}{7} }[/tex]= 5+h
h = 21-5
Therefore, the height of 16 cm.
Hope it helps!
You use a total of 11 base 10 blocks to show this number the number.the number of one blocks is greater than the number of 10 blocks.
Answer:
give me the brainliest
Step-by-step explanation:
Let x is the ones digit
Let y is the tens digit
Given that:
You use a total of 15 base ten blocks to show this number:
<=> x + y = 15 (1)
One of the digits is 6, so substitute into (1) we have another digit equals to: 9
Because the number of ones block is greater than the number of ten blocks
<=> y > x
<=> y = 9 and x= 6
So that number is: 69.
please guys say me all answer correctly
Answer:
9222521251
Step-by-step explanation:
+6261113051+
151232065+3
156
I need help with this math problem. (reflections & translations)
Answer:
A' : (5,-2)
B' : (-1,-3)
C' : (6, -2)
A':(5,-2)
B':(-1,-3)
C':(6,-2)
Type the expression that results from the following series of steps:
Start with t, subtract 6, multiply by 2, then add 5.
Answer:
t = 7
Step-by-step explanation:
[tex]t - 6 \times 2 + 5 = 0 \\ t - 12 + 5 = 0 \\ t - 7 = 0 \\ t = 7[/tex]
How many outcomes are possible for one event of a binomial experiment? 1 2 3 4.
Answer: 2
Step-by-step explanation:
There are 2 possible outcomes for one event of a binomial experiment
How to determine the number of outcomes?The event is said to be a binomial experiment
The bi in binomial means 2
This means that there are 2 possible outcomes in one event,.
The outcomes are true or false
Hence, there are 2 possible outcomes for one event of a binomial experiment
read more about binomial experiment at:
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the sum of two numbers is -90. Their difference is 16. Find the numbers
Answer:
The numbers are 53 and 37
Step-by-step explanation:
Y=2x+3
how do I find slope intercept?
Answer:
(0,3)
Step-by-step explanation:
So slope intercept formula is as listed, in y = mx + b form, and for your slope intercept, we will assume it is b
So your answer would be (0,3)
How many cars would you expect to pass the corner in 30 minutes
Answer:
I'm guessing 12 cars in 30 minutes.
please anyone help!.
Step-by-step explanation:
∆JKL : ∆XYZ
XY/JK = 9/6 = 3/2
YZ/KL = x/8 = 3/2
x=(3/2)8=12
-2/3x +2y=-7 in slope intercept form
Answer:
y = (1/3)x - 7/2
Step-by-step explanation:
Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
Lets transform this equation into that form using algebra rules.
-2/3x +2y = -7
get y alone
2y = (2/3)x - 7
divide everything by 2
y = (2/6)x - 7/2
simplify
y = (1/3)x - 7/2
I need help on this please
Answer:
Give me a minute
Step-by-step explanation:
Enter an algebraic expression for the word expression twice a number x, minus 14
Answer:
2x-14
Step-by-step explanation:
what’s the answer??
need it asap!
Step-by-step explanation:
[tex] = {x}^{6} - 5 {x}^{3} - 24[/tex]
[tex] = {x}^{3.2} - 5. {x}^{3} - 24[/tex]
[tex] = {( {x}^{3} )}^{2} - 5( {x}^{3} ) - 24[/tex]
[tex] \: [/tex]
Option → B
Samuel buys a two-quart bottle of juice for $12.16. What is the unit rate of the cost of
the juice per fluid ounce?
Answer:
$0.19
Step-by-step explanation:
HELPP MEEEEEE
Find the slope of this graph.
Answer:
that this 6+6
Step-by-step explanation:
78+90 look than
Answer:
m = -3/2
Step-by-step explanation:
Given the following points on the graph, (0, 9) and (2, 6):
Let (x₁, y₁) = (0, 9)
(x₂, y₂) = (2, 6)
Plug these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (6 - 9)/ (2 - 0)
m = -3/2
Therefore, the slope of the graph is -3/2. It has a negative value (hence, a negative slope) because the line is declining from the left side of the graph towards the right.
