Answer: X1= 4, X2= 7
Step-by-step explanation:
Help, Help, Help, Help, Help,
Step-by-step explanation:
answer is in photo above
Answer:
0.25
Step-by-step explanation:
f(1)=(1/4)^1
0.25
Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.
Answer:
Number of oranges = 8
Step-by-step explanation:
let
a = number of apples
n = number of oranges
Number of apples = 6
Cost of each apple = 0.75
Number of oranges = n
Cost of each orange = $1.25
Total cost = $14.50
Total cost = Number of apples * Cost of each apple + Number of oranges * Cost of each orange
14.50 = 6 * 0.75 + n * 1.25
14.50 = 4.5 + 1.25n
14.50 - 4.5 = 1.25n
10 = 1.25n
n = 10 / 1.25
n = 8
Number of oranges = n = 8
Therefore, there are 8 oranges in a bagful of orange
find the sum of this infinite geometric series.
HELP!!
Which expression is equivalent to the following complex fraction?
3
-4
x-1
2.
X-1
2-
0
2(X-2)
-4X+7
-4X+7 D.
2(X-2)
4x+7
2(x2-2)
2(x2-2)
4x+7
Answer:
[tex]\frac{-4x+7}{2(x-2)}[/tex]
Step-by-step explanation:
[tex]For x \neq 1 \\\frac{\frac{3}{x-1}-4}{2-\frac{2}{x-1}}=\frac{\frac{3}{x-1}-\frac{4x-4}{x-1}}{\frac{2x-2}{x-1}-\frac{2}{x-1}}=\frac{\frac{-4x+7}{x-1}}{\frac{2x-4}{x-1}}=\frac{-4x+7}{2(x-2)}[/tex]
The equivalent expression is 2(x - 2) / (-4x + 7).
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To simplify the given expression:
[3/(x - 1) - 4] / [2 - 2/(x - 1)]
We need to find a common denominator for the two fractions in the numerator and denominator of the main fraction.
The common denominator for the numerator is (x - 1) and for the denominator is 2(x - 1).
We can then rewrite the expression as:
[3 - 4(x - 1)/(x - 1)] / [2(x - 1) - 2/(x - 1)]
Simplifying the numerator by distributing the -4:
(3 - 4x + 4) / (x - 1)
(-4x + 7) / (x - 1)
Now, simplifying the denominator by finding a common denominator:
2(x - 1) - 2/(x - 1)
= (2x - 2 - 2)/(x - 1)
= 2(x - 2)/(x - 1)
Substituting back into the original expression, we get:
(-4x + 7)/(x - 1) / [2(x - 2)/(x - 1)]
Multiplying by the reciprocal of the denominator:
(-4x + 7)/(x - 1) x (x - 1)/[2(x - 2)]
(-4x + 7)/[2(x - 2)]
Therefore,
The equivalent expression is 2(x - 2) / (-4x + 7).
Learn more about expressions here:
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In △XYZ, m∠X = 27° and m∠Y = 48°. Which gives the sides of the triangle in order from shortest to longest?
Answer:
YZ , XZ , XY
Step-by-step explanation:
first lets find angle Z
angle x + angle y + angle z=180 degree (being sum of interior angles of a triangle)
27 + 48 + angle z=180
75 + angle z=180
angle z =180-75
angle z =105 degree
side YZ is the shortest one because the side opposite to the smallest angles is shortest in side.Then ,XZ is shortest in side because the side opposite to the smallest angle is shortest in side.Since angle z is largest angle so the side opposite to angle z will be the longest side i.e XY
first YZ then XZ and XY.
The chart below represents the number of marbles in a jar. What is the probability of picking blue?
P(blue) =
Answer:
yes
Step-by-step explanation:
use the function below to find F(3).
F(x) = 4(1/3)^x
Answer:
4/27
Step-by-step explanation:
F(x) = 4(1/3)^x
Let x =3
F(3) = 4(1/3)^3
Exponents first
F(3) = 4 * 1/27
Then multiply
f(3) = 4/27
Answer:
4/27
Step-by-step explanation:
f(x) = 4(1/3)^x
f(3) = 4(1/3)^3
f(3) = 4(1/27)
f(3) = 4/27
hope that helps
Please solve for X and Y
Answer:
x=16
..................
Which product results in x^2-1
What is it yalll !??????
Answer:
I think b
Step-by-step explanation:
Answer:
As x reaches negative infinity y reaches negative infinity
Step-by-step explanation:
So, first off, when looking at graphs, there will always be a infinite end behavior.
This is because either the x or y axis can be set to a infinitly large number.
We can instantly set up a 2 things for this graph.
We see that y NEVER reaches postive infinity. This is because both left and right sides of the graph have downwards slopes.
This removes our second answer, because it is postive infinity for y.
It also removes our first answer, since it is just 5 for y, notn negative infinity.
Finally, it removes our third answer, since it is just 7 for y, not negative infinity.
This leaves D.
D is correct since y reaches negative infinity when x reaches both postive and negative infinity.
D says x is negativly infinite, which fits this.
So D is our answer.
Hope this helps!
Which of the following is the value of g(60)?
help ASAP Please show working
Answer:
(a) -1
(b) -2
Step-by-step explanation:
(a) Replace the a's with 1 and the b's with 3 to get 1*3 = 1-3+1 = -1
(b) We already figured out that (1*3) equals -1 so we just need to find -1*2. Using same strategy as part a, replace a and b with -1 and two, respectively. -1*2 = -1-2+1= -2. Hope this helps and sorry if I made a mistake. :)
Renee has dimes and quarters in her wallet that total $1.60. She has 2 more dimes than quarters.
How many of each coin does Renee have?
Given:
Renee has dimes and quarters in her wallet that total $1.60.
She has 2 more dimes than quarters.
To find:
The number of each type of coins.
Solution:
Let x be the number of dimes and y be the number of quarters.
She has 2 more dimes than quarters. So,
[tex]x=y+2[/tex] ...(i)
We know that,
1 dime = $0.10
1 quarter = $0.25
Renee has dimes and quarters in her wallet that total $1.60. So,
[tex]0.10x+0.25y=1.60[/tex] ...(ii)
From (i) and (ii), we get
[tex]0.10(y+2)+0.25y=1.60[/tex]
[tex]0.10y+0.20+0.25y=1.60[/tex]
[tex]0.35y=1.60-0.20[/tex]
[tex]0.35y=1.40[/tex]
Divide both sides by 0.35.
[tex]y=\dfrac{1.40}{0.35}[/tex]
[tex]y=4[/tex]
Substituting [tex]y=4[/tex] in (i), we get
[tex]x=4+2[/tex]
[tex]x=6[/tex]
Therefore, the number of dimes is 6 and the number of quarters is 4.
I am doing a connexus geometry unit test. please send assistance!
Answer:
x=37
Step-by-step explanation:
50+24=74
74/2=37
Select the correct answer.
In which quadrant are the x-coordinate and the y-coordinate of a point both negative?
A.
quadrant I
B.
quadrant II
C.
quadrant III
D.
quadrant IV
Answer: c
Step-by-step explanation:
I need help solving these problems
Answer:
question one:
x = 6.018150231520483
adjacent angle = 7.986355100472928
Step-by-step explanation:
i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations
it automaticly does sin, cos, and tan for you.
What is the length of the hypotenuse of the right triangle in the diagram?
Answer:
it's hypotenuse will be -8
Sthephanie has 3 3/4 bags of soli to put in her garden. Each bag of soil will cover 125.3 ft how many square feet will sthephanie be able to cover if she uses all bags of soli?
Answer:
469.875 square feet
Step-by-step explanation:
Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):
125.3(3.75)
= 469.875
So, she will be able to cover 469.875 square feet with soil
I don’t know how to do these questions so help plz
Answer:
the anser is no.b that is 30°
Answer:
90°
Step-by-step explanation:
There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:
180-150=30
So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.
[tex]3x+2x+30=180[/tex]
Combining like terms, we get:
[tex]5x+30=180[/tex]
Isolating x, we get:
[tex]5x=150[/tex]
Dividing both sides by 5, we get:
[tex]x=30[/tex]
So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:
[tex]3x=3(30)=90[/tex]
Therefore, the answer is 90°. Hope this helps!
A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160 cubic centimeters of concrete mix?
Answer: [tex]100\ cm^3[/tex]
Step-by-step explanation:
Given
The ratio of mixture of sand and cement is 5:3
If the total volume of mixture is [tex]160\ cm^3[/tex]
Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.
[tex]\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3[/tex]
Sand [tex]5x=5\times 20=100\ cm^3[/tex]
So, there is [tex]100\ cm^3[/tex] of sand in the mixture
Mrs. Jones is planning a field trip to the state capitol building for all of the sixth graders at her school. She needs $3.75 to cover the cost of each student's lunch. There are 327 students attending the field trip. How much money does Mrs. Jones need to cover the cost of all of the students' lunches?
Answer:
= $1226.25
Step-by-step explanation:
There are 327 students
Each student lunch is $3.75
She needs 327 of these $3.75 lunches
So 327 times $3.75
= $1226.25
18 km
12 km
20 km
or
14 km
Answer:
20 km
Step-by-step explanation:
Circumference is given by
C = pi*d
20 pi = pi *d
Divide each side by pi
20 =d
I dkabouthtisoneiuisrhihurg
APQR and ARST are shown.
S
R
R
Р
+
H
440
T
What is m TSR?
mZTSR = [1]
Answer:
∠ RST = 68°
Step-by-step explanation:
Since RT = ST then the triangle is isosceles with 2 base angles congruent
∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°
A pet store has 115 fish that need to be placed into fish tanks. Each tank can hold 6 fish. How many tanks does the store need for the fish?
Answer:19
Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank
120÷[17-{15-3(8-2)}]
Answer:
the ans has to be 6.........
Given the triangle below, what is the measure of x to the nearest foot?
Answer:
18 ft
Step-by-step explanation:
Since the triangle is right angled ; we could use trigonometry ;
Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x
Cos θ = Adjacent / hypotenus
Cos 40 = 14 / x
0.7660444 = 14 / x
0.7660444x = 14
x = 14 / 0.7660444
x = 18.27
= 18 ( nearest foot)
The equation of a circle is x2 + y2 + 2x - 10y - 38 = 0. What are the coordinates of the
center and the length of the radius of the circle?
Answer:
Centre = (-1, 5)
radius = 8units
Explanation
The standard form of the equation of a circle is expressed as
x^2+y^2+2gx+2fy+C = 0
Center = (-g, -f)
radius = √g²+f²-C
Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.
On comparing
2gx = 2x
2g = 2
g = 2/2
g = 1
2fy = -10y
2f =-10
f =-5
Centre = (-1, -(-5)) = (-1, 5)
radius = √1²+5²-(-38)
radius = √1+25+38
radius = √64
radius = 8units
15 points!! Are any of these right?
Answer:
it is the second one
Step-by-step explanation:
the y intercept for the first one isnt the origin
It is decreasing from negative infinity to -2.5 for the first one
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
Answer:
61,70,79
Step-by-step explanation:
common difference=9
It is an arithmetic progression.
therefore next 3 terms of the sequence is 61,70,79
Answer:
61, 70,79
Step-by-step explanation:
34 - 25 = 9
43 - 34 = 9
52 - 43 = 9
52 + 9 =61
the pattern is plus 9
SHOW WORK PLEASE
Marion and her friends are driving to see a concert at the stadium, a trip of 145 miles. They drive for 2 hours at a steady rate of 40 miles per hour and then stop for gasoline. How much further do they have to travel to arrive at the stadium?
Answer:
65
Step-by-step explanation:
Since they drove for 2 hours at an average rate of 40 miles per hour, they've travelled [tex]40\cdot 2=80[/tex] miles so far. Therefore, they still have [tex]145-80=\boxed{65}[/tex] miles to go.
Answer:
65
Step-by-step explanation:
Since u traveled for 2 hours at 40 miles per hour, you have traveled for 80 miles. Then u subtract the total miles, 145 by 80
145-80
= 65 more miles