If f(x)=5X-2 and g(x) = x+1, find (f -g)(x)
Answer:
Step by step explanation
a
Uh could someone help me on this please?
Evaluate the following, using distributive property.
(i) – 39 × 99
(ii) (– 85) × 43 + 43 × ( – 15)
Answer:
39×99=3861.
85×43+43×15=4300
39 multiple 99= 3861
Step-by-step explanation:
85 multiple 43 add 15=4300
Suggest methods (other than Cartesian Coordinates) of describing the location of points on a plane.
Answer:
There are two alternatives: (i) Polar coordinate system (a.k.a. Circular coordinate system), (ii) Elliptic coordinate system.
Step-by-step explanation:
There are two alternative ways of describing the location of points on a plane:
(i) Polar coordinate system (a.k.a. Circular coordinate system).
(ii) Elliptic coordinate system.
Now we proceed to explain briefly the characteristic of each option:
Polar coordinate system: [tex](r, \theta)[/tex]
Where:
[tex]r[/tex] - Distance of the point with respect to origin.
[tex]\theta[/tex] - Direction of the vector between origin and point with respect to the +x semiaxis, in sexagesimal degrees.
The formulae for each component in terms of Cartesian coordinates are described below:
[tex]r = \sqrt{x^{2}+y^{2}}[/tex] (1)
[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (2)
Elliptic coordinate system: [tex](\mu, \nu)[/tex]
Where [tex]\mu[/tex] and [tex]\nu[/tex] are elliptical coordinates.
The formulae for each component in terms of Cartesian coordinates are described below:
[tex]x = a\cdot \cosh \mu \cdot \cos \nu[/tex] (3)
[tex]y = a \cdot \sinh \mu \cdot \sin \nu[/tex] (4)
Where [tex]a[/tex] is the distance between origin and any of the foci along the x axis.
amy is walking laps whilst frank is jogging laps on the nature trail. Amy completes a lap in 15 minutes, frank completes a lap in 6 minutes. How long will it take before they both finish at the same time
Answer:
9 minutes
Step-by-step explanation:
Firstly they were in the same pace, Amy was walking while Frank was jogging.
then it will be 15 - 6 = 9
Help..................
Answer:
IJKUKOKLIOLIOOOIOLI
Step-by-step explanation:
IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO
60
What is the value of x in the equation x - y = 30, when y= 15?
O. 4
O. 8
O. 80
O. 200
Answer:
Step-by-step explanation:
x - y = 30
Substitute 15 for y.
x - (15) = 30
Add 15 to both sides.
x = 45
Use the Theorem of Pythagoras twice to calculate the lengths marked x. Give your answers accurate to 4sf.
If a= 5-2 root 6 then find the value of root a - 1/root a
Answer:
2\sqrt2
Step-by-step explanation:
a=5-2√6 ...(1)
[tex]\frac{1}{a}=\frac{1}{5-2 \sqrt{6} } \times\frac{5+2\sqrt{6} }{5+2\sqrt{6} } =\frac{5+2\sqrt{6}}{(5-2\sqrt{6})(5+2\sqrt{6})} =\frac{5+2\sqrt{6}}{5 ^2-(2\sqrt{6})^2} =\frac{5+2\sqrt{6}}{25-24} =5+2\sqrt{6}\\a+\frac{1}{a}=5-2\sqrt{6}+5+2\sqrt{6}=10[/tex]
[tex](\sqrt{a}-\frac{1}{\sqrt{a}})^2=(\sqrt{a})^2+(\frac{1}{\sqrt{a}})^2-2 \times \sqrt{a} \times \frac{1}{\sqrt{a}}=a+\frac{1}{a}-2=10-2=8\\\sqrt{a}-\frac{1}{\sqrt{a}}=\sqrt{8}=2\sqrt{2}[/tex]
What is the length of AC?
A
8
B
C
O
Answer:
hi, it's 16 because:
[tex]ab = bc \\ ab = 8 \\ ac = 2 \times 8 = 16 \\ ac = 16[/tex]
Answer:
16
Step-by-step explanation:
Theorem: In a circle, if a radius is perpendicular to a chord, then the radius is the perpendicular bisector of the chord.
In this case, the radius containing points O and B is perpendicular to chord AC, so the radius bisects chord AC making AB = BC.
Also,
AB + BC = AC
By substitution, we have
AB + AB = AC
AC = 2AB
AC = 2(8)
AC = 16
(-4)+12+(-20) simplify
(-4)+12+(-20)
= 12 + (-24)
= -12
Answer:
-12
Step-by-step explanation:
The solution is in the picture ^_^ I hope it helps
A 4 metre ladder is placed against a vertical wall.
The base of the ladder is 1.5 metres from the base of the wall.
Answer:
Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.
Step-by-step explanation:
By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.
Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.
By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.
Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625
y^2-y^2+0.5y+2.25–4.0625=0
0.5y- 1.8125=0
0.5y=1.8125
y=1.8125/0.5= 3.625
Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder
Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625
L^2=13.140625–0.90625+4.0615=15.390625
L= (15.390625)^1/2= 3.92 meters length of ladder
hope it helps...
correct me if I'm wrong...
If < A and < B are complementary, and < A = 3x + 4 degrees, while < B = 6x - 4 degrees, find x.
Select one:
a. 10
b. 4
c. 9
d. 21
Answer:
a
Step-by-step explanation:
complementary angles sum to 90° , so
3x + 4 + 6x - 4 = 90
9x = 90 ( divide both sides by 9 )
x = 10
I NEED HELP WITH 2 QUESTIONSS
1.What is the mean change in the forecasted low temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the low temperatures. If your answer is not an integer, explain what two integers your answer is between.
LOW TEMPTURES:
WEDNESDAY-79
THURSDAY- 79
FRIDAY- 73
SATURDAY- 73
SUNDAY - 73
MONDAY- 73
TUESDAY- 75
2. What is the mean change in the forecasted high temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the high temperatures. Show your work and steps. If your answer is not an integer, explain what two integers your answer is between.
WEDNESDAY- 88
THURSDAY- 87
FRIDAY- 90
SATURDAY- 90
SUNDAY- 86
MONDAY- 88
TUESDAY-86
PLEASE ANSWER FAST!!!
probability, please help i will give brainliest
Answer:
Step-by-step explanation:
2 colours were taken
does anyone know how to solve? I also have more I need help with.
In between 2000 and 90000
Don't use a 2
-3/11 + 5/9 can you pls explain this step by step
Answer:
[tex]\frac{28}{9}[/tex]
Step-by-step explanation:
[tex]\frac{-3}{11} +\frac{5}{9}[/tex]
[tex]=\frac{-27}{99} +\frac{55}{99}[/tex]
[tex]=\frac{-27+55}{99}[/tex]
[tex]=\frac{28}{99}[/tex]
find the slope between the points (-10,8) and (-7,5)
Answer:
-1
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
Slope = (8 - 5) / (-10 - -7)
Slope = 3 / (-3)
Slope = -1
Solve for x.
3х - 4 = 13
[tex]\large\bold{\underline{\underline{ \: x = 5 \frac{2}{3} }}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3x - 4 = 13[/tex]
[tex]➺ \: 3x = 13 + 4[/tex]
[tex]➺ \: 3x = 17[/tex]
[tex]➺ \: x = \frac{ 17}{3} [/tex]
[tex]➺ \: x = 5 \frac{2}{3} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]➺ \: 3x - 4 = 13[/tex]
[tex]➺ \: 3 \times 5 \frac{2}{3} - 4 = 13[/tex]
[tex]➺ \: 3 \times \frac{17}{3} - 4 = 13[/tex]
[tex]➺ \: 17 - 4 = 13[/tex]
[tex]➺ \: 13 = 13[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Camille has 3/4 of a cup of powdered sugar. She sprinkles 1/5 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. how much sugar does Camille sprinkle on the brownies.
Answer:
3/20 of a cup of sugar
Step-by-step explanation:
Find how much she sprinkled on the brownies by multiplying 3/4 by 1/5:
3/4 x 1/5
= 3/20
So, she sprinkled 3/20 of a cup of sugar on the brownies
Which is equivalent (Algebra ll)
Answer:
D : [tex]x^{2} +81=x^{2} +20x+100[/tex]
Step-by-step explanation:
We start with the original equation:
[tex]\sqrt{x^{2} +81} =x+10[/tex]
Squaring both sides to remove the square root we get:
[tex]x^{2} +81=(x+10)^{2}[/tex]
Expanding the right side:
[tex]x^{2} +81=(x+10)(x+10)[/tex]
Multiplying the right side out and combining like terms we get:
[tex]x^{2} +81=x^{2} +20x+100[/tex]
Two stores sell CDs in packages, as shown in the table below.
CD Prices at Store A
Number of CDs in Package
1
12
20
45
Cost
$0.70
$8.40
?
$31.50
CD Prices at Store B
Number of CDs in Package
1
20
30
65
Cost
$0.60
?
$18.00
$39.00
If the rate at each store is constant, which statement correctly compares the cost of a package containing 20 CDs?
The cost at Store A is $2.00 greater than at Store B.
The cost at Store B is $2.00 greater than at Store A.
The cost at Store A is $1.00 greater than at Store B.
The cost at Store B is $1.00 greater than at Store A.
Answer:
Step-by-step explanation:
If each CD at store A costs $.70, then 20 of them will cost 20(.7) = $14.
If each CD at store B costs $.60, then 20 of them will cost 20(.6) = $12.
The correct statement is that The cost at Store A is $2.00 greater than at Store B.
What is the measure of side B’C’?
A and B are two similar solids...
Answer:
cant download send ss
Step-by-step explanation:
Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 749. Find a linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course. Round your answer to the tenths place.
Given:
30-hour review course average a score of 620 on that exam.
70-hour review course average a score of 749.
To find:
The linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course.
Solution:
Let x be the number of hours of review course and y be the average score on that exam.
30-hour review course average a score of 620 on that exam. So, the linear function passes through the point (30,620).
70-hour review course average a score of 749. So, the linear function passes through the point (70,749).
The linear function passes through the points (30,620) and (70,749). So, the linear equation is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-620=\dfrac{749-620}{70-30}(x-30)[/tex]
[tex]y-620=\dfrac{129}{40}(x-30)[/tex]
[tex]y-620=\dfrac{129}{40}(x)-\dfrac{129}{40}(30)[/tex]
[tex]y-620=\dfrac{129}{40}(x)-\dfrac{387}{4}[/tex]
Adding 620 on both sides, we get
[tex]y=\dfrac{129}{40}x-\dfrac{387}{4}+620[/tex]
[tex]y=\dfrac{129}{40}x+\dfrac{2480-387}{4}[/tex]
[tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex]
We need to find the y-value for [tex]x=57[/tex].
[tex]y=\dfrac{129}{40}(57)+\dfrac{2093}{4}[/tex]
[tex]y=183.825+523.25[/tex]
[tex]y=707.075[/tex]
[tex]y\approx 707.1[/tex]
Therefore, the required linear equation for the given situation is [tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex] and the average score for persons taking a 57-hour review course is 707.1.
How to solve the area of a triangle
Step-by-step explanation:
The photo which is in the attachment is an example for your question. hope this answer helps you!!Attempt
Question 5 (5 points)
Tell whether or not the triangles are similar.
Yes, the triangles are similar by AA.
Yes, the triangles are similar by SSS.
Yes, the triangles are similar by SAS
Yes, the triangles are similar by ASA.
Answer:
Yes, the triangles are similar by SAS
Step-by-step explanation:
Looking at the picture, we see that there are two triangles with side lengths of different sides. We can deduce that the scale factor is 1 2/3, because 8 divided by 4.8 is 1 2/3, and 10 divided by 6 is the same. Now that we have clarified that the triangles share the same scale factor, we notice that the angle is also the same, as mentioned in the picture. This leads us to say that the triangles are similar by the SAS similarity theorem (Side, Angle, Side). I hope this helped and please don't hesitate to reach out with more questions!
If the ordered pairs(a,3)and (2,b) belong to the set {(x,y):y=2x-3},find the value of a,b
Answer:
a=3
b=1
Step-by-step explanation:
3=2a-3 => a=3
b=2*2-3 = 1
As shown in Figure 2, it is known that PQRS, VWXY and RTU are all straight lines.
a）Find the value of a + b + c + d + e;
b）Find the sum of the interior angles of the polygon QRTXW.
Answer:
a. 360°
b. 540°
Step-by-step explanation:
a The sum of the exterior angles of any n-sided polygon is always 360°. Therefore:
a + b + c + d + e = 360°
b. Sum of interior angles of an n-sided polygon is given as (n - 2) × 180
The polygon, QRTXW is a 5 sided polygon, therefore n = 5.
Plug in the value of 5 into the equation:
Sum of interior angles of QRTXW = (5 - 2) × 180
= 3 × 180
= 540°
Solve the following pair of linear equations using substitution method
[tex] x-3y = 13[/tex]
[tex]x+2y=8[/tex]
Answer:
(10, - 1 )
Step-by-step explanation:
Given the 2 equations
x - 3y = 13 → (1)
x + 2y = 8 → (2)
Rearrange (1) making x the subject by adding 3y to both sides
x = 3y + 13 → (3)
Substitute x = 3y + 13 into (2)
3y + 13 + 2y = 8
5y + 13 = 8 ( subtract 13 from both sides )
5y = - 5 ( divide both sides by 5 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 3(- 1) + 13 = - 3 + 13 = 10
solution is (10, - 1 )
A pallet of floor tiles contains 60 cases of tiles, and the yard has 10 complete pallets of tile. If you remove 180 cases for one customer how many cases of tiles will be remaining in the yard?
Total cases = total pallets x cases per pallet
Total cases = 60 x 10 = 600 cases
600 cases - 180 cases = 420 cases left
Answer: 420 cases