Answer:
See explanation
Step-by-step explanation:
[tex]2b^2-5b+2=0[/tex]
[tex]b=\dfrac{5\pm\sqrt{25-16}}{4}=\dfrac{5\pm3}{4}=\dfrac{8}{4}, \dfrac{2}{4}=2,1/2[/tex]
Hope this helps!
Which of the following is an example of exponential growth or decay?
A.population of a city decreasing by a factor of .1 each year
B.population of a city increasing by a 100 people each year
C.population of a city decreasing by 100 people each year
D.population of a city increasing by 100 people then decreasing by 50 each year
Line f has a slope of –3 8 . Line g is parallel to line f . What is the slope of line g ?
Answer:
line g would have the same slope as line f
Step-by-step explanation:
parallel lines always have the same slope.
Hope this helps!!! :)
Sandy was given this function. f(x)=3x2−24+1/3 She used the method of completing the square to rewrite the function. In this second step of her process, r and s are real numbers. f(x)=3(x2−8x+r)+1/3+s What are the values of r and s? Enter your answers in the boxes.
Answer:
[tex]r = 16[/tex], [tex]s = -48[/tex]
Step-by-step explanation:
The values of [tex]r[/tex] and [tex]s[/tex] can be found with the help of algebraic manipulation on the second-order polynomial described on statement:
[tex]f(x) = 3\cdot x^{2} - 24\cdot x + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2} - 8\cdot x) + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2} - 8\cdot x + 16 - 16) + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2}-8\cdot x + 16) + \frac{1}{3} - 48[/tex]
By comparing each expression, the results are presented below:
[tex]r = 16[/tex], [tex]s = -48[/tex]
please help :( -8x with an exponent of 2 + 24x
Steps to solve:
-8x² + 24x
~Apply exponent rule [ [tex]a^b^+^c=a^ba^c[/tex] ]
-8xx + 24x
~Rewrite 24x as 8 * 3x
-8xx + 8 * 3x
~Factor out common term
-8x(x - 3)
Best of Luck!
Answer: -8x(x-3)
Step-by-step explanation:
Your just factoring the gcf (greatest common factor)\
=-8xx+24x
Rewrite 24 as 8*3
=-8xx+8 *3x
Factor out common term: -8x
=-8x (x-3)
Find ten rational numbers between -2/5 and 1/2
Answer:
-1/3, -1/4, -3/10, -1/8, -1/16, 1/3, 1/4, 3/10, 1/8, 2/5.
Step-by-step explanation:
-2/5 is -0.4 and 1/2 is 0.5
Ten rational numbers in between are, -0.33333 (-1/3), -0.25 (-1/4), -0.3 (-3/10), -0.125 (-1/8), -0.0625 (-1/16), 0.33333 (1/3), 0.25 (1/4), 0.3 (3/10), 0.125 (1/8), 0.4 (2/5)
What is 13 - 4 x = 1 - x?
Answer:
x=4
Step-by-step explanation
Answer:
x = 4
Explanation:
How to expand (x+3)( x-2), using the F.O.I.L method?
Answer:
x^2+x-6
Step-by-step explanation:
If you follow the picture in the respective order of FOIL you should get this answer.
Ashley has a right triangular Garden in her backyard the longest side of the garden measures 17 yards one of the sizes 10 yards long find the length of the other side of the garden
Answer....
The answer should be 13.74 yards.
We must apply the pythagorean theorem to solve.
C is the hypotenuse aka the longest side.
Formula: a^2 + b^2 = c^2
a^2 + 10^2 = 17^2
a^2 + 100 = 289
Subtract 100 from both sides.
a^2 = 189
Square root of 189 is approximately 13.74.
What is the distance between (2,4) and (5,-2)
Answer:
my answer is 3√ 5
Answer:
-3
Step-by-step explanation:
Here is the formula for this one: (x 2- x 1) + (y 2- y 1).
Hope this helps.
So do i divide by 2 each time?
SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP
Answer:(x+9)(x+3)
(I dont think it matters when it’s switched)
Hope I helped
Step-by-step explanation:
The middle number is 12 and the last number is 27.
Factoring means we want something like
(x+_)(x+_)
We need two numbers that...
Add together to get 12
Multiply together to get 27
Can you think of the two numbers?
Try 3 and 9:
3+9 = 12
3*9 = 27
Fill in the blanks in
(x+_)(x+_)
with 3 and 9 to get...
(X+3)(x+9)
(x+3)(x+9)
Find the area of the triangle. Pls help!
Answer:
84 mm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 b *h
The base is 14 and the height is 12
A = 1/2 (14*12)
A = 84 mm ^2
Area of a triangle formula: A = 1/2bh
Solve using the values given in the picture.
A = 1/2(14)(12)
A = 1/2(168)
A = 84
Therefore, the volume of the triangle is 84mm²
Best of Luck!
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (6, 9) (0, -5)
Answer:
-7/-3
Step-by-step explanation:
The point (6,9) should be labeled as x1 and y1 and the point (0,-5) should be labeled as x2 and y2, so the slope equation ends up as -5-9 / 0-6, which turns out to be -14 / -6, but when you simplify it, it becomes -7 / -3. :)
The slope of line given below is 7/3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have the points as (6, 9) and (0, -5)
So, the slope of line
slope = (-5 - 9)/ (0-6)
slope = -14 / (-6)
slope = 7/3
Thus, the required slope is 7/3.
Learn more about Slope here:
https://brainly.com/question/3605446
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what’s the answer for this question
Answer:
1pi or approximately 3.14
area of a Circle is: (pi)(r)^2
so of you plug the formula in for this equation you get
(pi)(1)^2= 1pi or approximately 3.14 which ever your teacher prefers.
Which number is a perfect square 249, 265, or 324?
Answer:
324
Step-by-step explanation:
A number is a perfect square when there are two factors that are identical to one another. 324 is a perfect square since its two identical factors are 18 and 18.
Answer:
324
Step-by-step explanation:
18*18. Hope that helped, vote, thanks, brainliest ;)
Have a great day!
A square with sides X ft long has a perimeter of 34.2 How long are the sides of the square?
Answer:
Each side is 8.55
Step-by-step explanation:
The perimeter of a square is given by
P =4s
34.2 = 4s
Divide each side by 4
34.2 /4 = 4s/4
8.55 = s
Each side is 8.55
Answer:
Each side is 8.55Step-by-step explanation:
[tex]perimeter \: = x + x + x + x \\ 34.2 = 4x \\ \frac{34.2}{4} = \frac{4x}{4} \\ x = 8.55[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which of the following situations is not an example of financial responsibility? Select all that apply.
(there is more than one answer)
A.pay with cash instead of a credit card
B.making payments on time
C.not sticking to a set budget
D.spending all of your paycheck
E.using coupons when you can
Answer:
C.not sticking to a set budget
D.spending all of your paycheck
Step-by-step explanation:
The situations which are not an example of financial responsibility are C. not sticking to a set budget and D. spending all of your paychecks.
Given are some situations in the options.
It is required to find those which are included in the financial responsibility.
Financial responsibility can be defined as the responsibility of a person who uses finances responsibly without spending too much or dealing with finance carelessly.
A) pay with cash instead of a credit card
This is something a responsible person does, who will not use a credit card until urgency came.
B) making payments on time
A financially responsible person will make payments on time. I not, the person will be affected by future bulk payments which will be very difficult then.
C) not sticking to a set budget
A financially irresponsible person will not stick to a budget and spends so much carelessly.
D) spending all of your paycheck
If a person is financially responsible, the person will not spend ll paychecks, since some will go to savings.
E) using coupons when you can
Using coupons when you can is a good thing in the case of finance since it will save money.
Hence the correct options are C and D.
Learn more about Financial Responsibility here :
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27,9, 3, ...
Find the 6th term.
Answer: .1
Step-by-step explanation: divide all the numbers by three. 27 ÷ 3 = 9
9÷3= 3
3÷3= 1
1÷3= .3
.3 ÷3 = .1
c(1)=-20 c(n)=c(n-1)+10 find second term
Answer:
c(2) = -10
Step-by-step explanation:
c(1)=-20
c(n)=c(n-1)+10
Let n = 2 since n indicates the term number
c(2)=c(2-1)+10
= c(1) +10
= -20+10
= -10
Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs. How many members are in the band when no one is absent…
Answer:
23
Step-by-step explanation:
225/25 = 21
21+2=23
Answer:
How many members are in the band when no one is absent?
the answer is c if you are refering to the khan academy question
Step-by-step explanation:
its from khan academy
Get brainiest !! Easyyy question
Answer:
Step-by-step explanation:
hmmm
Answer:
Height of cone is 5m
Step-by-step explanation:
graph equation y-5=-5(x-1)
Answer:
your slope intercept form is y=-5x+6
Step-by-step explanation:
you distribute the -5 and then you add 5 to your now positive 5 to isolate your y variable
then once you have the equation you start at your y-intercept (0,6) and then you go up and or down 5 then you move to the left one because you have a negative slope
Describe how multiplying all the linear dimensions of a cone by one
fourth affects the volume of the solid. *
Answer:[tex]\frac{1}{64}^{th}[/tex]
Step-by-step explanation:
Given
Suppose V is the original volume of cone having r as radius and h as height
If we multiply all the linear dimensions of ac one by [tex]\frac{1}{4}^{th}[/tex]
the [tex]r'=\frac{r}{4}[/tex]
[tex]h'=\frac{h}{4}[/tex]
Therefore new volume is
[tex]V'=\frac{1}{3}\pi r'^2h'[/tex]
[tex]V'=\frac{1}{3}\pi (\frac{r}{4})^2(\frac{h}{4})[/tex]
[tex]V'=\frac{1}{64}\times \frac{1}{3}\pi r^2h[/tex]
[tex]V'=\frac{V}{64}[/tex]
So new volume becomes [tex]\frac{1}{64}^{th}[/tex] of the original one
Is a percent increase for 50 to 70 = to the percent decrease from 70 to50
Answer:
no it is not.
Step-by-step explanation:
%increase = 40% while %loss = about 28.6%
Secant TP and tangent TR intersect at point T Chord SR and chord PO intersect
at point V. Find the values of x and y. If necessary, round to the nearest tenth.
A
x=2
y=4
B. x= 11.6
y = 11.6
C.
X = 11.6
y = 232
D. x = 18.3
y=36.6
Answer:
(C)x=11.6, y=23.2
Step-by-step explanation:
Using Theorem of Intersecting Secant and Tangent
[tex]TQ$ X TP=TR^2[/tex]
[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]
Next, we apply Theorem of Intersecting Chords
PV X VQ=SV X VR
4 X x= 2 X y
Recall: x=11.6
2y=4 X 11.6
2y=46.4
y=46.4/2=23.2
Therefore: x=11.6, y=23.2
The correct option is C
Denise and Jacqueline are training for a swimming and running race.
• Jacqueline swims for 30 minutes. Then she runs 3.2 miles at a constant
pace. Her total training time is 54 minutes. • Denise swims for 24 minutes.
She runs at a constant pace of 8 minutes per mile. Her goal is to train for at
least 60 minutes. *
Part A: Write an equation or inequality to represent the pace, in minutes per mile, that Jacqueline
runs. Define all variables used. At what pace, in minutes per mile, does Jacqueline run? Show your
work. Respond in the space provided.
Answer:
Jacqueline runs at 6.25 minutes per mile
Step-by-step explanation:
Here we have that the total training time for Jacqueline = 54 minutes
The time for which Jacqueline swims = 30 minutes
Therefore, the time in which Jacqueline runs = 54 min. - 30 min. = 20 minutes
Therefore the equation for Jacqueline's speed = Distance/Time we have
Jacqueline's pace = 3.2 miles/20 minutes = 0.16 miles/minute
Therefore Jacqueline's pace = 0.16 miles/minute
The equation for Jacqueline's pace in miles/minute is presented as follows
Jacqueline's pace in miles/minute = Time of running/Distance
Jacqueline's pace in miles/minute = 1/0.16 miles/minute = 6.25 minutes/mile.
There are 7 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer. Once a ribbon is selected, it is not replaced. Find each probability.
P(a yellow ribbon and then a blue ribbon)
P(a yellow ribbon and then a blue ribbon)
a. 7/100
b. 42/635
c. 7/120
d. 7/125
Answer:
7/100
Step-by-step explanation:
7 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer
Total ribbons = 25 ribbons
P( yellow) = yellow / total = 7/25
Then not replaced
6 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer
Total ribbons = 24 ribbons
P( blue) = blue / total = 6/24 = 1/4
P(a yellow ribbon and then a blue ribbon) = 7/25 * 1/4 =7/100
Answer:
A: [tex]\frac{7}{100}[/tex]
Step-by-step explanation:
There are 25 ribbons total. The probability would be out of the 25 ribbons.
(1):
Yellow: [tex]\frac{7}{25}[/tex]
Blue:[tex]\frac{6}{25}[/tex]
Red:[tex]\frac{9}{25\\}[/tex]
Green:[tex]\frac{3}{25}[/tex]
When removing a ribbon that can't be replace, it'll leave you with a total of 24 ribbons.
(2):
Yellow: [tex]\frac{6}{24}=\frac{1}{4}[/tex]
Blue: [tex]\frac{5}{24}[/tex]
Red:[tex]\frac{8}{24}=\frac{1}{3}[/tex]
Green:[tex]\frac{2}{24}=\frac{1}{12}[/tex]
Multiply {(1) × (2)}:
Yellow:[tex]\frac{7}{25}[/tex] ×[tex]\frac{6}{24}[/tex] = [tex]\frac{7}{100}[/tex]
Blue:[tex]\frac{6}{25}[/tex] × [tex]\frac{5}{24}[/tex] = [tex]\frac{1}{20}[/tex]
Allie. Bentie and Charlie share £46.
The amount Alfie and Bertie get is in the ratio 9:5
The amount Bertie and Charlie get is in the ratio 2:1
How much does Alfie get?
Mr. Williams paid $1,250 in cash for a new television set. If he had bought it using the store's payment plan, he would have had to pay a deposit of $350 and 9 monthly installments of $150. How much money did he save by paying in cash?
Answer:
$450
Step-by-step explanation:
Mr. william's paid $1250 in cash for a new television set. But if he was to use the store's deposit plan, he will have to make some installmental payment after paying an initial deposit.
Initial deposit = $350
Installmental payments of $150 for 9months.
His total payment will be = Initial payment + the total amount of the installmental payment.
$350 + (9 x $150) = $350 + 1350 = $1700
$1700 - $1250 = $450 savings
By paying in cash he will be saving an amount of $450.
Meagan knits 1/10 of q scarf in 3/4 of annhour.What fraction of a scaf can megan knit in 1 hour
Answer:
2/15
Step-by-step explanation:
To solve this problem we just need to use a rule of three, relating the fraction of the scarf knitted and the amount of time.
So we have that:
1/10 of the scarf -> 3/4 hour
x of the scarf -> 1 hour
x * (3/4) = 1/10
x = (1/10) / (3/4)
x = (1/10) * (4/3)
x = 4/30 = 2/15
In one hour, Meagan knit 2/15 of the scarf.