Expand 2(7x - 1) please
Answer:
14x - 2
Step-by-step explanation:
2(7x - 1)
Distribute the 2
2*7x - 2*1
14x - 2
Answer:
14x-2
Step-by-step explanation:
2(7x-1)
(2×7x)+[2×(-1)]
14x-1
express fractions below having equal denominators: a) 2/5, 7/10, 9/40. b) 17/25, 23/40, 67/120
Answer:
Step-by-step explanation:
a) 5 = 5
10 = 2 * 5
40 = 2 * 2 * 2 *5
Least common denominator = 2*2*2*5=40
Now find equal fractions with denominator 40
[tex]\frac{2}{5}=\frac{2*8}{5*8}=\frac{16}{40}\\\\\frac{7}{10}=\frac{7*4}{10*4}=\frac{28}{40}\\\\\frac{9}{40}[/tex]
Fractions with equal denominators:
[tex]\frac{16}{40} ; \frac{28}{40} ; \frac{9}{40}[/tex]
b) 25 = 5* 5
40 = 2 * 2 * 2 * 5
120 = 2 * 2 * 2 * 3 * 5
Least common denominator = 8*25*3=600
[tex]\frac{17}{25}=\frac{17*24}{25*24}=\frac{408}{600}\\\\\frac{23}{40}=\frac{23*15}{40*15}=\frac{345}{600}\\\\\frac{67}{120}=\frac{67*5}{120*5}=\frac{335}{600}\\\\[/tex]
There is a sales tax of $6 on an item that cost $88 before tax on a second item $21. How much does the second item cost?
Answer:27
Step-by-step explanation:
If you are adding 6$ taxthen it would be
21+6-27
Jeremy read that the population of his town increased by 10% in the 1980s,and then increased by another 10% in the 1990s.What is the population at the end of the 1990s?
Answer:1.21x
Step-by-step explanation:
Let the initial population was x
(1.1x)*1.1=1.21x
The volume of a sphere is 5,572.45 ft To the nearest foot what is the radius of the sphere? Use 3.14 for .
Answer: [tex]11\ ft[/tex]
Step-by-step explanation:
Given
The volume of a sphere is [tex]5572.45\ ft^3[/tex]
The volume of sphere with radius r is given by
[tex]\Rightarrow \dfrac{4\pi r^3}{3}[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow 5572.45=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow r^3=\dfrac{5572.45\times 3}{4\pi }\\\\\Rightarrow r^3=1330.992\\\\\Rightarrow r=10.97\approx 11\ ft[/tex]
Therefore, the radius is [tex]11\ ft[/tex]
Determine the intercepts of the line 4x-1=3y+5
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the average rate of change for this quadratic function for the interval
from x = 1 to x = 3?
O A. -8
B.-4
O O
C. 8
O D. 4
==========================================================
Explanation:
The table says that when x = 1, the output is y = -2.
So the point (1, -2) is on the parabola.
The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.
Find the slope of the line through those two points. The slope here is the same as the average rate of change.
m = (y2 - y1)/(x2 - x1)
m = (-10 - (-2))/(3 - 1)
m = (-10 + 2)/(3 - 1)
m = -8/2
m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.
suppose a line has slope -2/3 and passes through the point (1, 8). which other point must also be on the graph?
A (7, 4)
B (7, 12)
C (-5, 4)
D(-5, -12)
============================================
Explanation:
Use the slope and given point to find the y intercept
y = mx+b
8 = (-2/3)*(1) + b
8 = -2/3 + b
8 + 2/3 = b
24/3 + 2/3 = b
26/3 = b
b = 26/3
The equation of the line is y = (-2/3)x + 26/3
To confirm this, plug in x = 1 and we should get y = 8, due to the point (1,8)
y = (-2/3)x + 26/3
y = (-2/3)*1 + 26/3
y = -2/3 + 26/3
y = (-2+26)/3
y = 24/3
y = 8
So that verifies we have the correct equation.
--------------
Next, go through each answer choice to see if the x coordinate of the point leads to the y coordinate.
If we try x = 7, then,
y = (-2/3)x + 26/3
y = (-2/3)(7) + 26/3
y = -14/3 + 26/3
y = (-14+26)/3
y = 12/3
y = 4
This shows that (7,4) is on the line. Choice A is the answer
That rules out choice B.
----------------
If we tried x = -5, then,
y = (-2/3)x + 26/3
y = (-2/3)(-5) + 26/3
y = 10/3 + 26/3
y = 36/3
y = 12
meaning that (-5,12) is on the line. That rules out choices C and D.
Refer to the graph below. It visually confirms that of the four answer choices, only point A is on the line. I used GeoGebra to make the graph.
4(x-5)=3x+7 how many solutions are there
Answer:
1
Step-by-step explanation:
4(x-5) = 3x+7
4x - 20 = 3x +7
4x - 3x =20 + 7
x=27
Answer:
27
Step-by-step explanation:
Pls help and give me right anwser
Answer:
Step-by-step explanation:
s+1+2s-1+90=180 degree(being linear pair)
3s+90=180
3s=180-90
s=90/3
s=30 degree
Answer:
s = 30
Step-by-step explanation:
the total angle is a straight angle that's composed of a right angle and 2 unknown angles.
straight angle = 180°right angle = 90°
(s + 1) + 90 + (2s- 1) = 180
s + 2s + 90 + 1 - 1 = 180
3s = 180 - 90
3s = 90
s = 90/ 3
s = 30
Help me, it will mean a lot if u do :)
Answer: 57 degrees
Step-by-step explanation:
Angle ZXY = Angle YZV = 75 degrees (Alternate segment theorem)
Since angles on a straight line add upto 180 degrees:
Angle UZX = 180 - ( 75 + 48) = 57 degrees
Note: 75 is Angle YZV and 48 is Angle XZY
What is the measure of the missing angle?)
Please explain how u got the answer so I can learn
Step-by-step explanation:
let x be the another angle
so
x+40=90
x=90-40
x=50
The measure of missing angle is 50
hope it helps
Please type up your word problem in the box below and then solve it in your notebook so that you have an answer key for your word problem ready for when you share it with the class to check their answers.
A university class has had 9 undergraduate students enroll so far, as well as 9 other students. What is the experimental probability that the next student to enroll will be an undergraduate student?
Answer:
1/2 or 50%
Step-by-step explanation:
good
I NEED HELP ASAP!!!
A laptop has a listed price of $891.99 before tax. If the sales tax rate is 9.25%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Please explain to me.
Answer:
$974.50
Step-by-step explanation:
The sales tax is 0.0925($891.99), or $82.51. We need only add this amount to the listed price ($891.99) to find the total cost with sales tax included:
$891.99
+ 82.51
--------------
$974.50
An alternative approach would be to multiply the listed price by 1.0925:
1.0925($891.99) = $974.50
Here the '1' refers to the listed price and the '0.0925' to the sales tax.
Which is true about the functional relationship shown in the graph?
Cost of Apples
AY
110
100
90
80
Cost ($)
50
an
2
20
10
0
Weight (pounds)
how deep is the ocean
Answer:
On average 2.3 miles deep or 12,144 feet
The max depth in the Pacific ocean has been recorded at 36,161 feet.
Pre-calc, image attached
Answer:
[tex]\lim_{x \to \(-1} f(x)=-2[/tex]
Step-by-step explanation:
In order for a limit to exist in a piecewise function, both its right-side and left-side limits must be equal to each other:
So, if we plug in x=-1 for the left side limit, we get 2cos(πx) = 2cos(π(-1)) = 2cos(-π) = 2(-1) = -2Plugging in x=-1 for the right-side limit, we get 2/cos(πx) = 2/cos(π(-1)) = 2/cos(-π) = 2/(-1) = -2Since both the right-side and left-side limits are equal to each other, we can say that the limit of f(x) as x approaches -1 is -2, therefore the limit existsSee the attached graphCan you explain how you answered it thank you!
x=
y=
Answer:
x = 1.5 or 1 1/2
y = 8
Step-by-step explanation:
Solving for x:
2x + 1/2 y = 7
6x - 1/2y = 5
Add both equations:
2x + 1/2 y + 6x - 1/2y = 7 + 5
8x = 12
x = 1 1/2
Solving for y:
2x + 1/2y = 7
We know x, so lets input
2(1.5) + 1/2y = 7
3 + .5y = 7
0.5y = 4
y = 4*2
y = 8
Check with the other equation
6x - .5y = 5
6(1.5) - 0.5y = 5
9 - 0.5y = 5
0.5y = 9 - 5
0.5y = 4
y = 4 * 2
y = 8
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Suzanne has one 10p coin one 50p coin and some 20p coins altogether she has £1.40 how many 20p coins does she have
Answer:
She has FOUR 20p coins altogether.
Step-by-step explanation:
1.40-0.10-0.50=0.8
0.8/0.2=4
3 point
The population of a small town over four years is recorded in the chart
below, where 2013 is represented by x= 0. The population, P(x), for these
years can be modeled by the function P(x) =aby, where bis rounded to the
nearest thousandth. Whkh statements about the function are true?
Answer:
1) I and III
Step-by-step explanation:
The equation of an exponential function is given by:
y = abˣ
where x is an independent variable, y is a dependent variable, a is the initial value of y (that is value of y at x = 0), b is greater than 1 for an exponential growth while b < 1 for an exponential decay.
Given that x represent years and P(x) represent population. 2013 is represented by x= 0, hence:
At the year 2013 (x = 0), the population is 3810, hence a = 3810.
The equation becomes:
P(x) = 3810(b)ˣ
At 2014 (x = 1), the population is 3943. Hence:
3943 = 3810(b)¹
3810b = 3943
b = 1.035.
Therefore a = 3810, b = 1.035. The correct option is 1) I and III
Since b > 1, this is an exponential growth.
Chen is playing a game that requires each player to spin an arrow to one of four colors, equally divided: green, orange, purple, or yellow.
Four players before Chen spun the arrow to purple, but Chen really wants her arrow to land on green. How is the probability of Chen’s spin affected by the spins of previous players?
Chen's probability of landing on purple is increased because the previous players all landed on green.
Chen's chances of landing on purple are not affected by the other players landing on green.
Chen's probability of landing on purple is decreased because the previous players all landed on green.
Answer:
1/4
Step-by-step explanation:
They are equally divided and there are a total 4 sections.
To find probability for yellow:
Numerator : how many yellows sections there are
Denominator : total sections there are
Therefore, the probability would be 1 in 4 chances.
Answer:
it's the 3 one
Step-by-step explanation:
shdddjdjdjdjdjdos
A greeting card is 25 centimeters tall and 17 centimeters wide. What is its perimeter?
Answer: 84 cm
Step-by-step explanation: The sides lengths are 25 cm and 17 cm. And to get parameter you have to add all the sides. So, it would be 25 + 25 + 17 + 17.
What is the answer to 1.) 2.)3.)4.)
Answer:
1. the coefficient is 8
2. the coefficient is 3
3. the coefficient is 1
4. the coefficient is 14
Callum wins £300 in a raffle .
He gives 5% of the 300 to charity
He uses the rest to buy clothes .
Work out how much money he spent on clothes
Answer:
5/100 x 300=15
300-15=285
Hello there! Please answer this question for me please. Brainliest and 35 points!
What is the area of figure ABCD?
A
104 square inches
B
120 square inches
C
136 square inches
D
168 square inches
Answer:
That's a Trapezium
Area =½( A + B)x H
A and B are the top and bottom of the shape.
H is the height.
Substituting...
Area = ½(13+17)8
=120 Square Inches
Answer:
B. 120 in.²
Step-by-step explanation:
13 × 8 = 104 in.²
17 - 13 = 4
4 × 8 = 32
32 ÷ 2 = 16
16 in.² + 104 in.²
120 in.²
CAN SOMEONE PLEASE HELP ME AND SOLVE THE PROBLEM STEP BY STEP IF IT WAS DONE CORRECTLY I WIL PUT U AS BRANLIEST THANK YOU!!!
Answer: (5,3)
Step-by-step explanation:
y=x^2-10x+28
Complete the square.
y=(x-5)^2+3
Use the vertex form, y=a(x-h)^2+k to find the values of a, h, and k.
a=1
h=5
k=3
Find the vertex (h, k).
(5, 3)
Pre-calc, Review the table of values for function g(x). Which statement correctly explains whether Limit of g (x) as x approaches 3 exists? (image attached)
Answer:
[tex]\lim_{x \to 3} g(x) = DNE[/tex]
Step-by-step explanation:
Observations:
As x approaches 3 from the left side, f(x) approaches -1.6 As x approaches 3 from the right side, f(x) approaches 1.6Conclusion:
Because the right and left-side limits are not equal to each other, the limit does not existTherefore, [tex]\lim_{x \to 3} g(x) = DNE[/tex]Answer:
A.
Step-by-step explanation:
Got it right
Write an expression (Simplified) for the perimeter of the given figure.
PLS ANSWER ASAP
Answer:
p = 6x + 10
Step-by-step explanation:
p = 2(l + w)
p = 2(6 + (3x - 1))
Simplify terms inside parenthesis
p = 2(3x + 5)
Distribute
p = 6x + 10
Using the graph, determine the
coordinates of the vertex of the parabola.
Y
10
9
8
6
5
4
3
2
1
X
-10 -9
-8
-7
-6
-5 -4 3
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Answer:
twenty thousand and two
