Answer:
[tex]y = 2 {(x + 2)}^{2} + 62[/tex]
Step-by-step explanation:
vertex form is
[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]
our original equation
[tex]2 {x}^{2} + 8x + 70[/tex]
first we will find the x value using the formula
[tex]x = - \frac{b}{2a} \\ - \frac{8}{2(2)} = - \frac{8}{4} = - 2 \\ x = - 2 = h[/tex]
plug the value of x back into the original equation to solve for y
[tex]y = 2 {x}^{2} + 8x + 70 \\ y = 2 ({ - 2}^{2} ) + 8( - 2) + 70 \\ y = 2(4) - 16 + 70 \\ y = 8 - 16 + 70 \\ y = 78 - 16 \\ y = 62 = k[/tex]
substitute this back into our vertex form and not forgetting the coefficient a = 2
[tex]y = 2 {(x - ( -2))}^{2} + 62 \\ y = 2 {(x + 2)}^{2} + 62[/tex]
I’m confused I’ll give brainlist it’s either a b c or d
Answer:
C.
Step-by-step explanation:
She needs 160 for a free ticket and get 85 for signing up.
Every time she goes, she get 12.5 points
160=85+12.5v
The answer would be C
Reason:
We eliminate B and D as they do not have a total of 160 points.
We are now left with A and C
A shows that she would need to earn 85 points three times which is incorrect as she receives 85 points 1 time after signing up. Therefore we eliminate A.
We are now left with C
C shows that the total amount of points she would need to earn a free ticket are 160 points.
It also shows that she would receive 85 points 1 time after signing up.
It also shows that the remaining points she would get are from strictly visiting the movie theater.
C is your answer
I need answer please
Answer:
[tex]{ \boxed{ \rm{ \angle QRO \: \: and \: \: \angle SRT}}}[/tex]
Divide. Round to the nearest tenth
2.29 divided by 3.5
Answer:
yes
Step-by-step explanation:yes
2.29 divided by 3.5
= 0.6542857143
and
rounded to the nearest tenth
= 0.7
Hope this helped you- have a good day bro cya)
Find the slope and y-intercept for a line passing through the following two points, then create a slope intercept equation.
(5,3) and (4,5)
Slope=
Y-intercept=
Slope intercept equation=
Answer:
Slope = -2
Y-intercept = 13
y = -2x + 13
Step-by-step explanation:
(5-3)/(4-5) = 2/-1 = -2
3 = -2(5) + b
3 = -10 + b
b = 13
y = -2x + 13
Hmm anyone can solve this is cool, (and will earn a peppermint)
Bill tax: $56
Your Money: $16
(What’s the decrease of money you paid for your tax)
What else would need to be congruent to show that A ABC= AXYZ by ASA?
Answer:
its c becuase its those sides are congruent then it would be angle side angle
Step-by-step explanation:
Have a good day :)
cos^8a+sin^8a=1-sin^22a+1/8sin^4a
cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²
=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A
=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴
=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴
//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A
=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴
=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A
=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A
=> 1 - Sin²2A + 1/8Sin⁴2A
=> R.H.S
Dr. Reyes is examining whether exercise is linked to mood. She recruits a sample of college students and asks them to answer whether they exercised at least three times last week (yes or no) and to rate their mood in the last week (1: Not happy at all to 5: Very happy). Her results show that students who exercised in the last week also reported happier moods. Can Dr. Reyes make a causal inference from her study
The answer to whether Dr. Reyes can make a causal inference from the study is;
No, she can't make a casual inference from the study because she met only one of the three criteria's for causality.
To answer this question, we need to know the conditions for causality in statistics research because causality gives the relationships such that a change in one variable would have to result in a change in another variable.
Now, the three conditions are;
1) Covariation; This condition means that the causal variable must have to vary with with the variable it is assumed to cause in a systematic manner.
2) Temporal precedence; Thus condition simply means that cause must precede effect. In summary it denotes that the variable that has the causal effect must come before the effect that it is meant to cause.
3) Control for extraneous variables; This condition means that results of an experiment or research must not be due to factors outside of the experiment/research
Now, in our question, he fulfilled the covariation condition because the
result of the research is tied to the responses from the sample students.
However, she did not fulfill the temporal precedence because the cause of
their moods did not precede the effects in his research.
Also, she did not fulfill the condition of control of extraneous variables
because other factors outside of the research itself may have affected their
moods.
Read more at; https://brainly.com/question/10811163
Help me please!!! It’s due at 11:59
Answer:
18
Step-by-step explanation:
Let the required number be x.
Step 1write the expression for the difference of the number and 4.
=> x - 4
Step 2the question equates 5 times the difference with some other terms, so find the equation for 5 times the difference.
=> 5( x - 4)
Step 3The equation in Step 2 is said to be equal to "two less than four times the number".
Find the expression for four times the number
=> 4x
Step 4Find the expression for two less than 4x.
=> 4x - 2
Step 5Equate the terms that it says are equal:
=> 5(x - 4) = 4x - 2
distributing 5 within the parenthesis:
=> 5x - 20 = 4x - 2
taking like terms on one side:
=> 5x - 4x = 20 - 2
(the sign carried by the terms get inverted while changing their sides)=> x = 18
and x was the required number, so the answer Is 18.
Can y’all help me with all of these
I need help please there are three more questions after that and they are 7/10+2/5+3/4
NUMBER 2: 3/4+7/8+5/6 NUMBER 3: 3/5+7/8+3/10
Answer:
1. 19/21 which is closest to 1
2. 1 hour , 1 hour , 2 hours
3. 19/21
4. 11/15
5. second statement is correct ( should be
closer to 1/2)
6. 7/10+2/5+3/4= 37/20
7. 3/4 +7/8+5/6= 59/20
8. 3/5 + 7/8+3/10= 71/40
Identify the initial condition and the rate of change
a = b − 21
In the given expression :
a = b - 21rate of change = 1
Initial condition = - 21
Answer:
Option BStep-by-step explanation:
Given relationship:
a = b - 21It could be shown as:
a = 1*b + (-21)The rate of change is 1 and the initial condition is -21.
Correct choice is B
Suppose the water level of a river is 34 feet. It recedes 1/2 foot a day. What is the equation you could use to calculate the water for a specific day?
[tex]Answer : 34-\dfrac{1}{2} n \ \ ; \ \ \rm where \ n \ is \ the \ number\ of \ days[/tex]
Answer:
f(x) = -1/2x + 34Step-by-step explanation:
This is a linear relationship.
Using the slope intercept form:
y = mx + bGiven:
The y-intercept is b = 34The slope is m = -1/2The equation is:
f(x) = -1/2x + 34, where x is the number of daysEmiliano earned $50 in July. He earned $70 in August. What is the percent increase or decrease in Emiliano's monthly earnings? A. 40% increase O B. 29% increase C. 40% decrease D. 20% decrease
Answer:
the answer is 40% increase
These triangles
are congruent
by the triangle
congruence
postulate [? ]
A. SAS
B. SSS
C. Neither, they are not congruent
Answer:
B-SAS
Step-by-step explanation:
Was right on acellus
Please, help me in this!
Increase the following amount by the percentage given
55 by 137%
Answer:
130.35
Step-by-step explanation:
https://percentages.calculators.ro/22-number-increased-with-percentage-of-its-value.php?number=55&percentage_increase=137&new_value=130.35
Help please if you can!!!!!!!!!!!!!!!
Answer:
559.41 miles/hour
Step-by-step explanation:
Just use a calculator
222 inches times 45 inches equals how many ft ?
Answer:
9990 inches
Step-by-step explanation:
Answer:
9990 in²
Step-by-step explanation:
Simple multiplication: 222 × 45 = 9990
To check your work either divide 9990 with 45 OR 222
Help! How to factorise= x²-5x+6?!!!!!!
Answer:
(x − 2)(x − 3)
Step-by-step explanation:
x² - 5x + 6
(x − 2)(x − 3)
*20 points* 7x + 24 = 2x - 6 How many solutions?
Answer:
x= -6
Step-by-step explanation:
so i'm thinking 1 solution.
(let me know if i'm wrong)
Answer:
infinitely many solutions.
Step-by-step explanation:
If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has
ind all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
Answer:
All even natural numbersStep-by-step explanation:
This is an AP with:
The first term = 1Number of terms = nCommon difference = 2Find the sum of the first n terms:
[tex]S_n= n(1+2n-1)/2=n^2[/tex]The sum is divisible by 4 if n is even number:
n = 2k ⇒ n² = 4k² ≡ 0 mod 4What is 5x-7=-10x+8
subtract 5 from both sides -
5x - 7 = -10x + 8
-5 -5
-7 = -15x + 8
subtract 8 from both sides -
-7 = -15x + 8
-8 -8
-15 = -15x
now divide both sides by -15 -
-15/-15 = -15x/-15
The answer: x = 1
(x alone also equals 1)
hope this helps! :)
write the equation of the line that is parallel to y=2x+1
Answer:
y = 2x, y = 2x+2, y=2x+100, y=2x-57, etc.
Step-by-step explanation:
Any line with the same slope will be parallel.
XIn is getting an estimate from a printer for flyers for the drama club. Xin orders color prints and negotiate a 10% discount on the print job for the drama club. If f represents the number of flyers XIn order, does 0.10(17.5+0.20f) represent the total cost of the print job? Why or why not?
Answer:
Yes.
Step-by-step explanation:
10% is 0.10 in decimal form. Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).
In conclusion:
Yes. 0.10( 17.50 + 0.20f ) does represent the total cost of the print job.
Help this is due tmr!!
Answer:
A is correct
Step-by-step explanation:
Please help with this math problem
Draw a figure and then solve
Answer:
x=180-a/2+a/2
m AEP =90
A group of 20 friends are going to travel to a school reunion together, 7 of them can drive. They have a 7 seat car (1 driver and 6 passengers), a 5 seat car (1 driver and 4 passengers) and the remaining 8 will take a bus. How many ways can the friends travel (ignoring passenger seat positions within each vehicle)? Give an exact answer, do not round. Do not include commas or dots in your answer.
Using the combination formula, it is found that there are 99768240 ways in which they can travel.
The passenger seat positions are not important, which means that the order is not important, which is why the combination formula is used.
Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
In the first car, 7 of the 20 friends are going to sit.In the second, 5 of the remaining 13 are going to sit.In the bus, the remaining 8.The, the number of ways is given by:
[tex]N = C_{20,7}C_{13,5}C_{8,8}[/tex]
[tex]N = \frac{20!}{7!13!} \times \frac{13!}{5!8!} \times \frac{8!}{0!8!} = 99768240[/tex]
There are 99768240 ways in which they can travel.
A similar problem is given at https://brainly.com/question/24437717
write the log equation as an exponential equation. you do not need to solve for x.
Answer:
[tex]5^{1/6} =2x[/tex]
Step-by-step explanation:
Log and exponential forms are inverses. Additionally, the information from one can be used to write in it another form. In a log equation, there are three parts. The formula is [tex]log_{b}(x)=y[/tex]. The formula for exponential equations is [tex]b^y=x[/tex]. This means to find this equation in exponential form write 5 as the base, 1/6 as the power, and 2x as the other side of the equation. This looks like, [tex]5^{1/6} =2x[/tex].
2. Ms. De Los Santos bought 5 3/7 gallons of ice cream for the 6th grade Wakanda Day celebration. If each scholar is served 1/16 gallon of ice cream, what is the greatest number of scholars that can be served?
