Answer:
The vertex of the quadratic function is:
[tex](x_{v}, y_{v})=\left(-3,\:7\right)[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=x^2+6x+16[/tex]
As the vertex of the form [tex]y=ax^2+bx+c[/tex] is defined as:
[tex]x_v=-\frac{b}{2a}[/tex]
As the quadratic function of parabola params are
[tex]a=1,\:b=6,\:c=16[/tex]
so
[tex]x_v=-\frac{b}{2a}[/tex]
[tex]x_v=-\frac{6}{2\cdot \:1}[/tex]
[tex]x_v=-3[/tex]
Putting [tex]x_v=-3[/tex] to determine [tex]y_v[/tex]
[tex]y_v=\left(-3\right)^2+6\left(-3\right)+16[/tex]
[tex]y_v=3^2-18+16[/tex]
[tex]y_v=9-2[/tex]
[tex]y_v=7[/tex]
Therefore, the vertex of the quadratic function is:
[tex](x_{v}, y_{v})=\left(-3,\:7\right)[/tex]
A company issues $90,000 of 5%, 5-year bonds dated January 1 that pay interest semiannually on June 30 and December 31 each year. If the issuer accepts $95,000 for the bonds, the issuer will record the sale with a (debit/credit) ______ to (Discount/Premium) ______ on Bonds Payable in the amount of $5,000.
Answer:
The issuer will record the sale with a CREDIT to PREMIUM on Bonds Payable
Step-by-step explanation:
Based on the information in a situation where the company issues the amount of $90,000, 5year bonds in which interest are been paid semiannually on both June 30 as well as December 31 which means that if the issuer accepts the amount of $95,000 for the bonds, the issuer will have to record the sale with a CREDIT to PREMIUM on Bonds Payable in the amount of $5,000 calculated as : ($95,000 bonds-$90,000 bonds).
what is the slope of this equation? y=8-x
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = 8 - x[/tex]
[tex]y = - x + 8[/tex]
[tex]y = - 1x + 8[/tex]
[tex]Slope = coefficient \: \: of \: \: x [/tex]
Thus :
[tex]Slope = - 1[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
could somebody help me please
Answer:
27-2x5+12÷4
27-10+12÷4
27-10+3
17+3
20
Step-by-step explanation:
primer paso es resolver la multiplicación, luego lo reescribes pero después del 27 iría el 10, luego dividimos El 12 con el 4 y eso me da un total de 3, reescribes y ya de ahí restas 27 y 10 y eso es un total de 17 y bajas el 3, luego sumas 17 más 3 que es igual a 20. De nada.
On an average Saturday, 15% of tickets sold are child tickets. If there were 460 tickets sold on Saturday, how many were sold to children?Equation:___________________
Solution:___________________
Answer:
69 is the answer
Step-by-step explanation:
15% of 460 is 69
There are 20 marbles in a bag. Each marble has a different design or color. How many ways can you draw 8 marbles from the jar? Is it permutation or combination.
Answer:
The number of ways of selecting a combination of 8 marbles from a bag containing 20 marbles is 125970
Step-by-step explanation:
The number of selecting 8 marbles from a bag of 20 marbles
A combination gives the number of possible order or arrangement in a collection of k items selected from a set of n items
[tex]C_{n,k} = \dbinom{n}{k}= \dfrac{n!}{k!\cdot \left ( n - k \right )!}[/tex]
In the question, k = 8, and n = 20
Substituting the values of n and k in the above equation gives;
[tex]C_{20,8} = \dbinom{20}{8}= \dfrac{20!}{8!\times\left ( 20 - 8 \right )!} = 125,970[/tex]
Therefore, the number of ways of selecting 8 marbles from a bag containing 20 marbles is given by the combination C₂₀, ₈ = 125970.
The perimeter of a triangle is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle. Help please
Shorter side = 9 cm
Question:The perimeter of a rectangule is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle.
Let:Length rectangle be a.Width of rectangle be b.To find?Length of the shorter side of the rectangle.Given:Perimeter of rectangle = 44cmArea of rectangle = 117cm²Answer :A/Q
Perimeter of rectangle = 44cm
We know:
p=2(L+B)
.°. ⇒44 =2(a+b)
⇒44 /2 =a+b
⇒22=a+b
So:
a=22-b
b=22-a
Now Let's put values in formula of Area
A/Q
Area of rectangle = 117cm²
We know:
Area =L×B
.°.117=ab
Put value of b in this equation
⇒117=a(22-a)
⇒117=22a-a²=0
⇒a-22a²+117=0
⇒(a- 9)(a- 13) = 0
.°. a=9
a=13cm
Let's put value of a as 13 to find b
⇒b=22-a
⇒b=22-13
⇒b=9cm
So the side having 9cm is shorter i.e. b
There are 42 dogs at the local shelter. Which equation can be used to determine how many dogs the shelter can provide for if it is currently at 60% capacity? 42/x=100/60 42/x=40/100 42/60=100/x 60/100=42/x
Answer:
100/60 = 42 / x
Step-by-step explanation:
Given that :
Number of dogs at shelter = 42
Capacity of shelter = 60%
Number of dogs shelter can cater for :
Let number of dogs shelter can cater for = x
60% of 42 = x
(60/100) * 42 = x
60/100 = x / 42
Reciprocal of both sides
100/60 = 42 / x
Answer:
60/100=42/x
Step-by-step explanation:
The figure shows line AC and line PQ intersecting at point B. Lines A'C' and P'Q' will
be the images of lines AC and PQ, respectively, under a dilation with center P and
scale factor 2.
Which of the following statements about the image of lines AC and PQ would be
TRUE under the dilation.
Line AC will be parallel to line AC, and line P Q will be the same line as line PQ.
Line AC will be perpendicular to line AC, and line P Q will be parallel to line PQ.
Line AC will be parallel to line AC and line P Q will be perpendicular to PQ.
Line AC will be parallel to line AC, and line P Q will be parallel to line PQ.
Answer:C
Step-by-step explanation:
Because they will be Parallel from each other and will be on the same line.
After the dilation line, AC will be parallel to line AC and line PQ will be perpendicular to PQ. Option C is correct.
What is dilation?The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
Given this, the figure depicts the intersection of lines AC and PQ at point B. Under a dilation with center P and scale factor 2, lines A'C' and P'Q' will be the images of lines AC and PQ, respectively.
The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
Line AC will be parallel to line AC and lines P and Q will be perpendicular to PQ. Because they will be Parallel to each other and will be on the same line.
Thus, after the dilation line, AC will be parallel to line AC and line P Q will be perpendicular to PQ. Option C is correct.
Learn more about the dilation here:
brainly.com/question/13176891
#SPJ2
An energy _________________ occurs when energy changes from one type to another type.
A) increase
B) conversion
C) transformation
D) form
Answer:
transformation
Step-by-step explanation:
this is when one form of energy forms into another form, and it can be transferred into a new object or location
Complete explanation of water the graph represents a proportional or a non-for pusher liner relationship
Answer:
Porportional
Step-by-step explanation:
Its a straight line.
What are the coordinates of quadrilateral A’ B’ C’ D’?
Answer:
RIP Juice WRLD
Step-by-step explanation:
Ralph and Liza are both driving from Los Angeles to Santa Fe. Ralph leaves at 7:00 and averages 60 mph (miles per hour) on the way. Liza leaves at 7:25 and averages 65 mph on the way. The situation is modeled by this system,
where x is the number of hours after Liza leaves and y is the distance each
will travel:
y = 60x + 25
y = 65x
How long after Liza leaves will she pass Ralph, and how far will they each
have traveled?
A. Liza will pass Ralph after 4 hours, and they each will have traveled
260 miles.
B. Liza will pass Ralph after 3 hours, and they each will have traveled
205 miles.
C. Liza will not pass Ralph, because she will never catch up with him.
D. Liza will pass Ralph after 5 hours, and they each will have traveled
325 miles.
Answer:
I'm pretty sure its D
Step-by-step explanation:
Liza will pass Ralph after 5 hours, and they each will have traveled 325 miles. Then the correct option is D.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Ralph and Liza are both driving from Los Angeles to Santa Fe.
Ralph leaves at 7:00 and averages 60 mph (miles per hour) on the way.
Liza leaves at 7:25 and averages 65 mph on the way.
The situation is modeled by this system will travel:
y = 60x + 25
y = 65x
where x is the number of hours after Liza leaves and y is the distance each
The time after Liza leaves will she pass Ralph will be
65x = 60x + 25
5x = 25
x = 5 hours
Then the distance covered by both after 5 hours will be
y = 65 (5)
y = 325 miles
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
This year, a small business had a total renvue of 51,000. If this 36% more than their total renvue the previous year, what was their total renvue the previous year?
Answer: well your answer is 18360
Step-by-step explanation: so let's say 51,000 is 100% and x is what where looking for, we know x is 36% so write x=36% the you have 51,000=100% now you have two simple equations.
A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $870 on equipment, and 13% of the total budget on props. What was the total budget for their student film?
Answer:
$1000
Step-by-step explanation:
Let us represent the total budget of the film as: x
The amount spent on equipment = $870
The amount spent on props = 13% of x
Total budget = Amount spent on equipment + Amount spent on props
Hence
x = $870 + 13% of x
x = 870 + 0.13
Collect like terms
x - 0.13 = 870
0.87x = 870
Divide both sides by 0.86
x = 870/0.87
x = $1000
Therefore, the total budget for their student film is $1000
Answer:
the answer is 1000
ILL GIVE BRAINLIEST PLEASE HELP!!
Answer:
the y-int is $25 and the x is $50 per hour. sorry havent done slope since middle school
Step-by-step explanation:
Which linear equations have one solution? Check all that apply. 5x - 1 = 3(x + 11) 0.4(x-2) + 4x = 8(x-9) O 4(x - 6) + 4 = 2(x - 3) 2(x-4) = 5(x-3) + 3 2(x - 1) + 3x = 5(x - 2) + 3
need help, just say which answers are correct plz
Answer:
1, 3, 4 is the answer
Step-by-step explanation:
just did it on edge
Please help is this wrong? If it is please explain!
Answer:
Step-by-step explanation:
Your good, your right
ACTIVITY 1
DIRECTIONS:
A. Write the fraction or mixed number as a terminating or re-
peating decimal.
1. 1/2
2. 5/6
3. 213
B. Write the terminating decimal as fraction or mixed number i
simplest form.
1. 0.6
2. 1.25
3. 0.125
pleaseeee answer this
Answer:
Question A:
1. 1/2 = 0.5 (Terminating)
2. 5/6 = 0.833333.. (Repeating)
3. 21/3 = 1.6666666.. (Repeating)
Question B:
1. 0.6 = 3/5
2. 1.25 = 5/4 = 1 1/4
3. 0.125 = 1/8
Step-by-step explanation:
A. Write the fraction or mixed number as a terminating or repeating decimal.
In order to convert a fraction into decimal, the numerator has to be divided by denominator.
1. 1/2
The answer is: 0.5 which is a terminating decimal.
2. 5/6
The answer is: 0.833333.. which is a repeating decimal.
3. 2 1/3 (assuming the question is this)
[tex]2\frac{1}{3} = \frac{7}{6} = 1.6666666..[/tex]
The answer is 1.6666666.. which is a repeating decimal.
B. Write the terminating decimal as fraction or mixed number i n simplest form.
1. 0.6
[tex]0.6 = \frac{6}{10} = \frac{3}{5}[/tex]
2. 1.25
[tex]1.25 = \frac{125}{100} = \frac{5}{4} = 1\frac{1}{4}[/tex]
3. 0.125
[tex]0.125 = \frac{125}{1000} = \frac{5}{40} = \frac{1}{8}[/tex]
Hence,
Question A:
1. 1/2 = 0.5 (Terminating)
2. 5/6 = 0.833333.. (Repeating)
3. 21/3 = 1.6666666.. (Repeating)
Question B:
1. 0.6 = 3/5
2. 1.25 = 5/4 = 1 1/4
3. 0.125 = 1/8
(07.07 LC)
Solve 3
5
6
6
6
30
7르
2
300
6
07.
11
7
2
9
30
Answer:
56
Step-by-step explanation:
Solve for x:
3/4x + 2 = 29/4
Answer:
x = 7
Step-by-step explanation:
taehyung is a good boy
Enter the value for x that makes the following equation 6(x – 2) + 2x = 36 true
pls help ILL GIVE BRAINLIST
Answer:
f
Step-by-step explanation:
maybe I hope it helps :)
Answer:J
Step-by-step explanation:
27/3=9-3=6
27/9=3+3=6
6=6
A cylinder in a cone have the same diameter 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches. Use n equals 3.14. What is the relationship between the volume of the cylinder in this cone? Explain your answer by determining the volume of each and comparing them. Show all of your work.
I got this right on my test. Hope this helps.
Will give brainliest if correct
Answer:
the answer is 122.29 ......
Please help!! Use the coordinates of the plotted points to complete the calculation below. Pay attention to negative signs!! What is the slope??
Answer:
-1
Step-by-step explanation:
Use the formula for slope: (y1-y2)/(x1-x2)
(2-4)/(3-1)=-2/2=-1
Answer:
-1
Step-by-step explanation:
its just a line :)
____________________________
Answer:
ok
Step-by-step explanation:
Jenny had 0.6 grams of pepper. Then she used 0.47 grams of the pepper to make some scrambled eggs. How much pepper does Jenny have left?
Answer: 0.13 grams of pepper
Step-by-step explanation:
Since 0.6 is the same as 0.60, set up the subtraction sentence below:
0.60 - 0.47
______________________________
Now, subtract:
0.60 - 0.47 = 0.13
Your answer is 0.13 grams (13/100)
Answer:
1.07
=0.6+0.47=10.7=1.07what is central tendency?
Answer:
the tendency for the values of a random variable to cluster round its mean, mode, or median.
In statistics, a central tendency is a central or typical value for a probability distribution. It may also be called a center or location of the distribution. Colloquially, measures of central tendency are often called averages
idk how to do this lol please help asap
Answer:
110
Step-by-step explanation:
Find how much bigger one triangle is than the other: 22 ÷ 2 = 11Apply our above knowledge to the missing side: 10 × 11 = 110I hope this helps!
St boniface Hospital raises funds for research through its annual dinner and Gala event.For this event 353 tickets are available for purchase in total.A single ticket is sold for $92 and a family ticket is sold $122 this year the event sold out with sales of 39946 as the marketing manager ,wants to know how many family tickets were purchased
Given:
Total number of tickets = 353
Single ticket = $92
Family ticket = $122
Total sales = $39946
To find:
The number of family tickets.
Solution:
Let x be the number of single tickets and y be the number of family tickets.
Total tickets: [tex]x+y=353[/tex] ...(i)
Total sales: [tex]92x+122y=39946[/tex] ...(ii)
Multiply (i) by 92 and subtract the result from (ii).
[tex]92x+122y-92(x+y)=39946-92(353)[/tex]
[tex]92x+122y-92x-92y=39946-32476[/tex]
[tex]30y=7470[/tex]
Divide both sides by 30.
[tex]y=\dfrac{7470}{30}[/tex]
[tex]y=249[/tex]
Therefore, the number of family tickets is 249.
