Step-by-step explanation:
Year 2006- y = 0.09 (6) + 0.04 = 0.58
Year 2008- y = 0.09 (8) + 0.04 = 0.76
Year 2010- y = 0.09 (10) + 0.04 = 0.94
Year 2012- y = 0.09 (12) + 0.04 = 1.12
Year 2014- y = 0.09 (14) + 0.04 = 1.3
"Let x = 6 which is corresponded to 2006", so 8 would correspond to 2008, 10 would correspond to 2010, 12 would correspond to 2012, and 14 would correspond to 14. Plug 6 for x into your equation and do them same for the others.
Hopefully this helps you! :)
(3x-2)(2x+4) using the box method of multiplication
Answer:
6x²-8x-8
Step-by-step explanation:
[tex](3x - 2)(2x + 4)[/tex]
[tex]3x \times 2x = 6 {x}^{2} \\ 3x \times 4 = 12x \\ - 2 \times 2x = - 4x \\ - 2 \times 4 = - 8[/tex]
[tex]6 {x}^{2} + 12x - 4x - 8 \\ 6 {x}^{2} + 8x - 8[/tex]
Answer:
(3x-2)(2x+4)
= 6x^2+8x-8
Step-by-step explanation:
find the equation perpendicular to the line y=2x-2 and passing through (-3 5)
Answer:
wow sry this is a tuff one :(
Step-by-step explanation:
**Spam answers will not be tolerated**
Please evaluate the Derivative using the Limit Process. Show all workings.
Answer:
[tex]\displaystyle f'(x)=-\frac{2}{x^{{}^{3}\!/\!{}_{2}}}[/tex]
Step-by-step explanation:
We have the function:
[tex]\displaystyle f(x)=\frac{4}{\sqrt x}[/tex]
And we want to find the derivative using the limit process.
Recall that the definition of a derivative is:
[tex]\displaystyle \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Therefore, by substitution:
[tex]\displaystyle \lim_{h \to 0}\frac{\dfrac{4}{\sqrt{x+h}}-\dfrac{4}{\sqrt x}}{h}[/tex]
First and foremost, we can move the constant factor outside of the limit:
[tex]\displaystyle =\lim_{h \to 0}\frac{4\left(\dfrac{1}{\sqrt{x+h}}-\dfrac{1}{\sqrt x}\right)}{h}\\ \\=4\lim_{h \to 0}\frac{\dfrac{1}{\sqrt{x+h}}-\dfrac{1}{\sqrt x}}{h}[/tex]
Next, we can multiply everything by (√(x + h)(√x) to eliminate the fractions in the denominator. Therefore:
[tex]\displaystyle =4\lim_{h \to 0}\frac{\dfrac{1}{\sqrt{x+h}}-\dfrac{1}{\sqrt x}}{h}\left(\frac{\sqrt{x+h}\sqrt x}{\sqrt{x+h}\sqrt x}\right)[/tex]
Distribute:
[tex]\displaystyle =4\lim_{h \to 0}\frac{\left({\sqrt{x+h}\sqrt x}\right)\dfrac{1}{\sqrt{x+h}}-(\sqrt{x+h}\sqrt x)\dfrac{1}{\sqrt x}}{h({\sqrt{x+h}\sqrt x})}[/tex]
Distribute and simplify:
[tex]\displaystyle =4 \lim_{h\to 0}\frac{\sqrt x-\sqrt{x+h}}{h(\sqrt{x+h}\sqrt{x}) }[/tex]
Next, we can multiply both sides by the conjugate of the numerator. In other words, multiply by (√x + √(x + h)). Thus:
[tex]\displaystyle = 4\lim_{h\to 0}\frac{\sqrt x-\sqrt{x+h}}{h(\sqrt{x+h}\sqrt{x}) }\left(\frac{\sqrt x +\sqrt{x+h}}{\sqrt x +\sqrt{x+h}\right)}[/tex]
Simplify:
[tex]\displaystyle =4 \lim_{h \to 0} \frac{x-(x+h)}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}\\ \\ \\ =4 \lim_{h \to 0} \frac{x-x-h}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})} \\ \\ \\=4 \lim_{h \to 0} \frac{-h}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}[/tex]
Cancel like terms:
[tex]\displaystyle =4 \lim_{h \to 0} -\frac{1}{(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}[/tex]
Now, we can use direct substitution. Hence:
[tex]\displaystyle \Rightarrow4 \left( -\frac{1}{(\sqrt{x+0}\sqrt x)(\sqrt x+\sqrt{x+0})}\right)[/tex]
Simplify:
[tex]\displaystyle =4\left( -\frac{1}{(\sqrt{x}\sqrt x)(\sqrt x+\sqrt{x})}\right) \\ \\ \\ =4\left( -\frac{1}{(x)(2\sqrt{x})}\right)[/tex]
Multiply:
[tex]\displaystyle =- \frac{4}{2x\sqrt{x}}[/tex]
Reduce and rewrite:
[tex]\displaystyle =-\frac{2}{x(x^{{}^{1}\! / \! {}_{2} \!})}[/tex]
Simplify:
[tex]\displaystyle =-\frac{2}{x^{{}^{3}\!/\!{}_{2}}}[/tex]
Therefore:
[tex]\displaystyle f'(x)=-\frac{2}{x^{{}^{3}\!/\!{}_{2}}}[/tex]
What is the base....
Answer:
Step-by-step explanation:
-5x the base
write a step by step proof. the givens are c is the midpoint of segment AB, and point c measures 10cm. prove AC=5cm plz help will mark brainliest
Answer:
Step-by-step explanation:
GIRL! You should add diagrams to these types of questions. It would really help
That 10cm does not mean point C is 10cm. It means the line AB is 10 cm in total.
And since point C is the midpoint, which means that point C cuts the line AB in half, that makes AC = 5cm
Answer:
the answer is fjdixekd
Mr. Sloan is purchasing 2.3 pounds of trail mix that costs $6.25 per pound. How much change will Mrs. Sloan receive if she gives the cashier $20. do it on rational numbers
Answer:
5.55
Step-by-step explanation:
The cost of the 3.4 pounds of trail mix is:
STEP 1:
multiply number of pounds purchased by price per pound
= 3.4 pounds * $4.25 per pound
= $14.45 total cost
STEP 2:
subtract total cost of purchase (step 1) from amount she gave cashier ($20.00)
= $20.00 - $14.45
= $5.55 amount received back from cashier
Mitchell works at the local movie theater. He currently has $395 in his
savings account and he plans to deposit $30 in his account every week.
Define the variable and write an algebraic expression to show how much
money Mitchell will have in his account after any number of weeks.
Answer: 395+30x
Step-by-step explanation:
Given : Mitchell has $395 now.
He saved $30 each week.
Let x be a variable that represents the number of weeks.
Since, Total amount = Current money + (Money save each week ) (Number of weeks)
Then, Total amount = (395 ) + (30)(x)
= 395+30x
Hence, the required algebraic expression= 395+30x
An algebraic expression is a mathematical expression consisting a variable (a,b,c,..) which can be manipulated .
ax+b=c for x how do I solve this can someone help explain it to me.
Answer:
x= c - b / A
please look at the step by step explanation to better understand :)
Step-by-step explanation:
subtract b from the left side and right side
so you are left with Ax = c - b
divide what number c - b is by A
and you are left with x= c - b / A
Solve for x: -1 < x + 3 < 5
Work Shown:
-1 < x+3 < 5
-1-3 < x+3-3 < 5-3 ... subtract 3 from all sides
-4 < x < 2
Solve for t.
Speed (Velocity)
V = d/t
Answer:
t = d/V
Step-by-step explanation:
V = d/t
Multiply each side by t
Vt = d/t *t
Vt = d
Divide each side by V
Vt/V = d/V
t = d/V
Given f(x),=19x+10find f(4).
Es para hoy hasta las 8:30 Cuantos vasos, con capacidad de 200 mililitros, se necesitan para trasvasar 20 litros de leche que están en un tonel de 200 litros a un porrón de 25 litros de capacidad
Answer:
100 vasos
Step-by-step explanation:
Sabemos que usando la conversión de unidades SI
1 litro = 1000 mililitros
En la pregunta se nos dice que:
Necesitamos trasvasar 20 litros de leche utilizando vasos de 200 mililitros de capacidad.
Por lo tanto,
1 litro = 1000 mililitros
20 litros =
20 litros × 1000 mililitros / 1 litros
= 20.000 mililitros de leche que hay que transferir.
Dado que estamos usando vasos con capacidad de 200 mililitros, la cantidad de vasos necesarios
= 20.000 mililitros de leche / 200 mililitros
= 100 vasos
Por tanto, se necesitan 100 vasos de 200 mililitros de capacidad para trasvasar 20 litros de leche que se encuentran en un barril de 200 litros a una jarra de 25 litros de capacidad.
Ms. Ciervo is making cupcakes. She has 9 2/3 teaspoons of vanilla. Each cupcake needs to have -1/3 teaspoon of vanilla. How many cupcakes can she make?
Answer:
The number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla is 29.
Step-by-step explanation:
The information provided is:
Ms. Ciervo has [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla. Each cupcake needs to have [tex]\frac{1}{3}[/tex] teaspoon of vanilla.Compute the number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla as follows:
Amount of vanilla required for one cupcake = [tex]\frac{1}{3}[/tex] teaspoons
Total amount of vanilla available [tex]9 \frac{2}{3}[/tex] teaspoons.
[tex]\text{number of cupcakes}=\frac{\text{total amount}}{\text{amount required for 1 cupcake}}[/tex]
[tex]=\frac{9\frac{2}{3}}{\frac{1}{3}}\\\\=\frac{29}{3}\div\frac{1}{3}\\\\=\frac{29}{3}\times \frac{3}{1}\\\\=29[/tex]
Thus, the number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla is 29.
help help help help help help
Answer:
a) (-2, -1)
b) (-3, 0) and (-1, 0)
Step-by-step explanation:
The turning point is the same as the vertex of the graph.
The vertex would be (-2, -1).
The zeros of the equation would be where the graph crosses the x-axis when y = 0.
The roots would be (-3, 0) and (-1, 0).
Pls help if you know
Answer:
C
Step-by-step explanation:
A: (16 - 12)² = 4² = 16 (Incorrect)
B: -|-4| = -(4) = -4 (Incorrect
C: (96 ÷ 8) - 2³ = 12 - 8 = 4 (Correct)
Please help!! I've been getting them all wrong
Answer:
your welcome it has to be c
Answer:
I honestly dont know
Step-by-step explanation:
Use a calculator for algebra srry if this answer is useless
use this information for items 1-3. Aaron has $65 to rent a bike in the city . It costs $15 per hour to rent a bike. The additional fee for a helmet is $3 for the entire ride
Answer:
You will ride for 4 hrs 8minStep-by-step explanation:
What we are expected to solve for that the problem did not expressly state is most likely the number of hours that you could ride for an amount of $65.
firstly we need to model the inequality (equation) for this scenario.
the constant fee= $3 additional fee for helmet
[tex]3+15n\leq 65\\\\[/tex]
We can now solve for n since the above inequality satisfies the condition presented in the problem statement.
[tex]3+15n\leq 65\\\\15n\leq65-3\\\\ 15n\leq 62[/tex]
Divide both sides by 15 to find n
[tex]n\leq 62/15\\\\n\leq 4hrs -8min[/tex]
Simplify:
4 (1/2 + 5/4) +-5=
A.2
B.3
C.4
D.5
Answer:
2
Step-by-step explanation:
First do whats in the parenthesess
it will look like this
2+5-5=2 the 5's cancel eachother out so your left with 2
Solve for t 4/3 = t/7
Answer:
t=28/3
Step-by-step explanation:
Id this helped feel free to send thanks and give brainliest so I can continue to help people around the brainly community.
suppose that Y varies directly with X andY equals 12 when X equals -2 what is X when Y equals -6
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
A direct variation equation has the following format:
[tex]y=kx[/tex]
Where k is a constant.
We know that y is 12 when x is -2. Thus, substitute:
[tex]12=-2k[/tex]
Divide both sides by -2:
[tex]k=-6[/tex]
So, our direct variation equations is:
[tex]y=-6x[/tex]
To find what x is when y equals -6, substitute in -6 for y:
[tex]-6=-6x[/tex]
Divide both sides by -6:
[tex]x=1[/tex]
So, our answer is 1 :)
To rule How to find f(7) ?
solve for each equation and justify EACH step.
3x+4=31
3(2x+1)
solve 1/2(16x-8)=2(x+16)
Answer:
Step-by-step explanation:
3x+4=31
subtract 4 on both sides That gives you
3x=27
now divide 27 by 3
that gives you X=9
———————————————-
3(2x+1)
you distribute 3 into the parentheses
so 3 x 2x is 6x 3x1 is 3
so its 6x+3
————————————————
1/2(16x-8)=2(x+16)
first you distribute 1/2 into the parentheses on the left side and distribute 2 into the parentheses on the right
which gives you 8x-4=2x+32
then you combine like terms 8x+2x is 10x and -4+32 is 28
so you answer to this one is 10x+28
Plzz answer quickly
Answer:
For this question if you need proper help in video format, tthen watch the video of MIND YOUR DECISIONS
HELP ME PLZ !!! The first one who answers gets brainliest
1.4.27
Use the number line below, where RS = 5y +3, ST = 4y + 7, and RT = 64.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y=(Type an integer or a decimal.)
Answer:
(a). The value of y is 6.
(b). The value of RS and ST are 33 and 31.
Step-by-step explanation:
Given that,
RS = 5y+3
ST=4y+7
RT=64
(a). We need to calculate the value of y
Using given data
[tex]RS+ST=RT[/tex]
Put the value into the formula
[tex]5y+3+4y+7=64[/tex]
[tex]9y=64-10[/tex]
[tex]y=\dfrac{54}{9}[/tex]
[tex]y=6[/tex]
(b). We need to calculate the value of RS
Using equation of RS
[tex]RS=5y+3[/tex]
Put the value of y
[tex]RS=5\times6+3[/tex]
[tex]RS=33[/tex]
We need to calculate the value of ST
Using equation of ST
[tex]ST=4y+7[/tex]
Put the value of y
[tex]ST=4\times6+7[/tex]
[tex]RS=31[/tex]
Hence, (a). The value of y is 6.
(b). The value of RS and ST are 33 and 31.
A line that passes through the points (2,1) and 6,9
Step-by-step explanation:
this is the ans in my view
Help asap plsssss:(((
Answer:
84
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
Given
(- 6)(- 2x - 4y) , substitute x = 1, y = 3 into the expression
= (- 6)(- 2(1) - 4(3) )
= (- 6)(- 2 - 12)
= (- 6)(- 14)
= - 6 × - 14
= 84
What is the x-coordinate of the image of point (−2, 6) after a reflection in the -axis?
(2,6) after a reflection in the x axis
(-2,-6) after a reflection in the y axis
What percent of 101 is 16.16?
Answer:
16.16 is 16% of 101
Step-by-step explanation:
Hope this helps!
I am a two digit prime number I am one less than multiple of 10. If you add 30 to meet you get another prime number. What number am I?
Answer: 29
Step-by-step explanation: