[tex]y = - x {}^{2} + 6x - 15[/tex]
[tex]y {}^{ \gamma } = - 2x + 6[/tex]
[tex]y {}^{ \gamma } = 0[/tex]
[tex] - 2x + 6 = 0[/tex]
[tex] - 2x = - 6[/tex]
[tex]2x = 6[/tex]
[tex]x = 3[/tex]
Substitute x=3 in y=-x²+6x-15[tex]y = - (3) {}^{2} + 6(3) - 15[/tex]
[tex]y = - 9 + 18 - 15[/tex]
[tex]y = - 9 + 3[/tex]
[tex]y = - 6[/tex]
Vertex: (3,-6)
[tex]==============================[/tex]
In order to find the vertex of a parabola, we use the following formula:
[tex]\mathfrak{\displaystyle\frac{-b}{2a} }[/tex]
Please remember that a parabola looks like this:
[tex]\tt{y=ax^2+bx+c}[/tex]
Now you know what a and b stand for.
In this case, a = -1, and b is 6:
[tex]\mathfrak{\displaystyle\frac{-6}{2(-1)} }[/tex]
Simplify:
[tex]\mathfrak{\displaystyle\frac{-6}{-2}}[/tex]
[tex]\mathfrak{3}\\=======================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is Power :)Answered by[tex]\mathcal{DiAmOnD}\\\tt{A~Creative~Helper}}}}[/tex]
What is the area of a circle with the diameter of 10
What’s the circumstance of a circle with a diameter of 18 m
C = pi x d
C = 3,14 x 18 = 56,52 m
Answer:
The answer is 56.57
thank you
Lola bought 4.25 yards of ribbon. The ribbon cost $1.59 per yard. What was the
total cost of her ribbon to the nearest cent?
Fill in the blanks with an operation symbol and a number to complete the
equation.
4.25___$1.59 = $_
At the store grapes are on sale. You can buy 3 pounds for
$2 dollars. At that rate, how many pounds can you buy
for $8? Show how you know.
Answer:
If you buy 3 pounds for $2, and have 8 dollars to spend, then multiply 2x4 to get $8. Since we multiplied by 4 for the money, we do the same thing for the pounds of grapes. So, we multiply 3x4 to get 12 pounds. So, you can buy 12 pounds of grapes for $8.
Step-by-step explanation:
Hope this helps! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP.
PLEASE HELP MATH. WILL GIVE BRAINLIST AND TONS OF POINTS
Answer:
[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]
[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]
[tex]\sf 3.78\times 10^{4}[/tex]
Step-by-step explanation:
Scientific notation: [tex]\sf a \times 10^b[/tex]
(where [tex]\sf 1 \leq |a| < 10[/tex] and b is the power of 10 required so that the notation is equivalent to the original number)
Move the decimal point back 13 places then multiply by [tex]\sf 10^{13}[/tex]:
[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]
Move the decimal point back 8 places then multiply by [tex]\sf 10^{8}[/tex]:
[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]
Divide the total debt by the population to calculate how much each person would owe if the debt was divided equally among everyone in the US:
[tex]\sf \dfrac{11,600,000,000,000}{307,000,000}=\dfrac{1.16 \times 10^{13}}{3.07 \times 10^{8}}=\dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}[/tex]
Apply exponent rule [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]\sf \dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}=0.3778501629... \times 10^{13-8}[/tex]
[tex]\sf =0.378\times 10^{5}[/tex]
[tex]\sf =3.78\times 10^{4}[/tex]
(remembering that the first part "0.378" needs to be equal to or greater than 1, but smaller than 10)
The area of South America is approximately 1.78 × 107 square kilometers. Its population is approximately 3.50 × 108 people. What is the approximate population density (people per square kilometer) of South America? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
A: 19.66 people/km^2
B: 1.97 × 10^15 people/km2
C: 5.09 people/km^2
D: 1.97 × 10^1 people/km^2
Answer: 19.66 people/km^2, A
Step-by-step explanation:
The population density will be equal to 82.96 people/km2.
The correct option is B.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
here, we have,
Given that the area is 1.78 × 10⁷ km² with 3.50 × 10^8 people.
The population density will be calculated as below:-
Density = people / km² = ( 3.50 × 10^8 ) / ( 1.78 x 10⁷ )
Density =19.66
Density = 19.66 people/km²
Therefore, the population density will be equal to 82.96 people/km2. The correct option is A.
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Help me please!!!!!!!!
Answer:
p(5,4)====P'(-4,5)....
Right triangle
What is the area
Left = 20 in
Bottom = 2 in
Answer:
20sq in
Step-by-step explanation:
h x b / 2
20 x 2 / 2
40/2
20
1 ll cm 5 cm 5 cm Surface area
Answer:
pls send the image along with it. So it can be solved
What are the coordinates of the point on the directed line segment from (-1, -1) to
(5,-5) that partitions the segment into a ratio of 1 to 3?
The partitions involves dividing the line into subsegments
The coordinate of the point on the directed line segment is (0.5,-2)
How to partition the line?The given parameters are:-
line segment = (-1, -1) to (5,-5)
Segment ratio = 1 : 3
The coordinates of the partition is calculated as:
[tex](x,y) = (\frac{mx_2 + nx_1}{m+ n},\frac{my_2 + ny_1}{m+ n})[/tex]
Substitute known values
[tex](x,y) = (\frac{1 *5 + 3 * -1}{1+ 3},\frac{1 *-5 + 3 * -1}{1+ 3})[/tex]
Evaluate the products
[tex](x,y) = (\frac{2}{4},\frac{-8}{4})[/tex]
Evaluate the quotients
[tex](x,y) = (0.5,-2)[/tex]
Hence, the coordinate of the partition is (x,y) = (0.5,-2)
Read more about line partitions at:
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Help help help help help help math
Answer:
55
Step-by-step explanation:
Area=LxW
so, Area=11x5
=55
Answeri think its 55
Step-by-step explanation:
you have to multiply 5x11 and thats 55 which is simple becaused i suck at explaining stuff
What is the area of a triangle whose sides have length $\sqrt{70},$ $\sqrt{70},$ and $\sqrt{28}$?
Answer:
980
Step-by-step explanation:
[tex]A = \frac{H.B}{2} = \frac{28.70}{2} = 980[/tex]
Hope it helps!!!Brainliest pls!!!Answer:
21
Step-by-step explanation:
A map of a highway has A scale of 2 inches= 27 miles. The length of the highway on the map is 9 inches. There are 7 rest stops equally spaced on the highway, including one at each end. You’re making a new map with a scale of 1 inch= 30 miles. How far apart are the rest stops on the new map?
Answer:
From what i've researched, your answer might be "5 miles apart." or possilby "25.7 miles apart."
Step-by-step explanation
Im sorry if none of these answers are correct.
Could someone help me with this
What is -x<-29?
Answer:
its positive 29 since you dividin a negative 1 and a negative divided by a negative is a positive
Step-by-step explanation:
Answer:
Assuming you're hoping to solve the inequality for x, x > 29
Step-by-step explanation:
When dividing both sides of an inequality by -1, the sign will be reversed. In this case, the sign will change from a less than to a greater than, meaning -x < -29 => x > 29.
Ms Lim bought x pencils and two more pens than pencils. (b) Each pencil costs 60 cents and each pen costs $2. Write down, in terms of x, the total cost in dollars of the pencils and pens which Ms Lim bought
Answer:
0.60x + ((x+2)(2)) = total cost
Step-by-step explanation:
The pencils = 60 cents
0.60x = (0.60, the money, multiplied by x number of pencils)
The pens = 2 dollars
2(x+2) = (2, the money, multiplied by x number of pencils + 2 more pens)
Answer:
($2.60x + $4 = TC(x)
Step-by-step explanation:'
The number of pens bought would be x + 2, where x is the number of pencils bought. Then:
Total cost = ($0.60/pencil)x + ($2/pen)(x + 2) = ($2.60x + $4 = TC(x)
7. SHORT ANSWER Determine whether the
relationship between the two quantities
in the table is proportional. Explain
your reasoning.
Answer:
it is proportional because there is a roc of +5 bc as one hour increases 5 dollars is added to the initial cost
On Tuesday, Karen finished all her chores in 3/4 of an hour. On Wednesday, she finished her chores in 5/12 of an hour. How much faster was Karen on Wednesday than Tuesday?
I will mark you brain list and Give you 90 point if you do it right and answer right thanks
Answer:
11 Students
Step-by-step explanation:
It is hard to explain in my opinion but I can try. For the stem column you, basically factor out the first digit of the number. Then the leaf column you, put the second digit of each number in your data set.
Answer:
Step-by-step explanation:
Find the mean of the data.
8,14,22,7,2,11,25,7,5,9 PLEASE!!!!!!!!
Answer:
11
Step-by-step explanation:
To find the mean:
Add up all data values to get the sum then count the number of values in your data set. Lastly, divide the sum by the count.
Solution:
Thus,
2+ 5+7+7+8+9+11+ 14+22+25=110
110/10 = 11
Therefore, the mean is 11.
~lenvy~
Answer:
Step-by-step explanation:
just put them in order from least to greatest then find the middle number
Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the explicit rule for this sequence in simplified form?
Answer:
d
Step-by-step explanation:
The explicit rule for this sequence in simplified form is,
⇒ [tex]a_{n}[/tex] = 500n + 30,000
Where, n is number of months.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Mr. Red's first year salary is $30,000 and it increases by $500 each year.
Now, Let number of months = n
We can formulate explicit rule for this sequence in simplified form as,
⇒ [tex]a_{n}[/tex] = 500n + 30,000
Therefore, The explicit rule for this sequence in simplified form is,
⇒ [tex]a_{n}[/tex] = 500n + 30,000
Where, n is number of months.
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find the equation (in terms of x) of the line through the points (-2,1) and(2,9)
Y=
Answer:
2
Step-by-step explanation:
gradient =y² -y¹ /x²-x¹
=9-1/2--2
=8/4
=2
Answer:
y = 2x + 5
Step-by-step explanation:
There are 2 ways to find this equation:
The first way: We have: y = ax + b (this is the line, right?)
The line is through the point (-2, 1) so we have:
1 = (-2)a + b (1)
The line is also through the point (2, 9) so we have:
9 = 2a + b. (2)
From (1) and (2) we get a equals 2, b equals 5. Then:
y = 2x + 5
The second way:
Let A(-2, 1) and B(2, 9), then AB = (4, 8).
=> The normal vector of this line is n = (-2, 1).
The line that is through the points A(-2, 1) and B(2, 9), and has the normal vector n=(-2, 1) has the equation:
[tex]-2(x - 2) + 1(y - 9) = 0[/tex]
[tex]-2x + y - 5 =0\\ < = > y = 2x + 5[/tex]
How come the π/6 is equal to 1/2 and radical 3 over 2?
Answer:
cos(π/6)= radical 3 over 2 sin(π/6) = 1/2
Step-by-step explanation:
In the unit circle the coordinates of the point for the particular angle can be expressed by cos(x) for the x value and sin(x) for the y value. For π/6, the point's x value is radical 3 over 2 as expressed by cos(π/6) and the y value is 1/2 as expressed by sin(π/6)
Determine whether the given value is a solution of the equation.
Answer:
Is a solution
Step-by-step explanation:
Just do the division [tex]\frac{52}{13}[/tex]
Match each word with the correct part of the expression.
5x + 12
coefficient
5x + 12
variable
5x + 12
term
5x + 12
constant
Expression: 5x + 12
Coefficients (The number directly next to the variable): 5
Variable (A letter that stands for a unknown number): x
Term (A single mathematical expression): 5x , 12
Constant (A term that has no attached variables): 12
Answer:
Step-by-step explanation:
(10) The population of bacteria an experiment can be modeled by d p(d)= 400(1.56)^d , where d is the number of days the population has been growing.
(a) Find the average rate the population has been growing over the interval 0≤d≤7.
Round to the nearest integer and include appropriate units.
(b) If the population of bacteria was modeled as a function of the number of hours, h,
such that h p(h)= 400b^h then what would be the value of b to the nearest thousandth?
Show or explain how you found your answer.
The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Let p represent the population of the bacteria after d days.
[tex]P(d)=400(1.56)^d\\\\P(7)=400(1.56)^7=8994\\\\P(0)=400\\\\\\Average\ rate\ of\ change=\frac{P(7)-P(0)}{7-0}=\frac{8994-400}{7-0} =1228[/tex]
b) 24 hours = 1 day, hence:
[tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
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(Score for Question 1:
of 5 points)
1. The diagram shown is two intersecting lines. The measure of 5 is 47°
(a) What is the measure of 7? How do you know. Explain your answer in complete sentences.
(b) Suppose the measure of 6 can be represented by (2x-5). What equation can be written to solve
for the value of x?
(c) What is the value of x?
Answer:
Answer:
a ground fault circuit interrupted
Answer:
By using what we know about intersecting lines, we will see that: a) ∡7 = 47° b) 47° + (2x - 5)° = 180° c) x = 69 How to get the measures of the angles for two intersecting lines? When two lines intersect, 4 angles are formed. There are two properties that these angles have. If the angles are adjacent, then their measures add up to 180° If the angles are not adjacent, these angles have the same measure. a) We know that ∡5 = 47° And 7 is not adjacent to 5, then 7 has the same measure: ∡7 = 47° b) 6 and 5 are adjacent, then we must have that: ∡5 + ∡6 = 180° 47° + (2x - 5)° = 180° That is the equation we need to solve to get the value of x. c) To solve the linear equation we need to isolate x, let's do that: 47° + (2x - 5)° = 180° (2x - 5)° = 180° - 47° = 133° 2x - 5 = 133 2x = 133 + 5 = 138 x = 138/2 = 69. If you want to learn more about linear equations, you can read: brainly.com/question/1884491
camilo uses 32 ounces of filling to make empanadas. he puts 8 empanadas on each of 3 trays. Write a fraction to show how many ounces of filling camilo uses in each empanada. Please reply quickly!
Answer:
32/4
Step-by-step explanation:
Jacori wants to estimate the proportion on seniors who will participate in graduation. He interviews a simple random sample of 40 of the 514 seniors at his school. He find that 34 are planning to participate. Is the normal condition for finding a confidence interval met?
Using the Central Limit Theorem, it is found that the condition is not met, as there are less than 10 failures.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, 34 of the 40 seniors are planning to participate in graduation, hence:
np = 34.n(1 - p) = 6 < 10.Since there are less than 10 failures, the normal condition for finding a confidence interval is not met.
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A large set of data was collected and analyzed for the majors of college seniors in the U.S. From the scatter plots produced the following associations were observed. The linear model P(t) 2,376 + 73,219 can be used to estimate the number of college seniors who graduated with a bachelor's degree in psychology, tyears after 2000 - The linear model B(t) = 2, 414t + 56, 545 can be used to estimate the number of college ( seniors who graduated with a bachelor's degree in biology, tyears after 2000. Which of the following statements are true? The number of psychology degrees increases by about 73,219 each year after 2000. The number of biology degrees increases by about 2.414 each year after 2000. About 73.000 students graduated with degrees in psychology in 2000. About 2.400 students graduated with degrees in biology in 2000. in 2000, more students graduated with psychology degrees than biology degrees
Using linear function concepts, it is found that the true statements are as follows:
The number of biology degrees increases by about 2.414 each year after 2000. About 73.000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.In this problem, for psychology, the model for the number of graduated students in t years after 2000 is:
P(t) = 2,376t + 73,219.
For biology, it is given by:
B(t) = 2,414t + 56, 545
Hence, the correct statements are:
The number of biology degrees increases by about 2.414 each year after 2000. About 73.000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.More can be learned about linear function concepts at https://brainly.com/question/24808124
¿ Cuanto es 3 por 5 centésimas ?
Answer:
0.15 or 3.05
Step-by-step explanation:
3*(5/100) = 15/100 = 3/20 = 0.15
or
3 5/100 = 305/100 = 61/20 = 3.05
dependiendo de lo que esté tratando de encontrar
lo siento si mi español es malo
espero que esto ayude