For this case, we have that by definition, be given two functions f (x) and g (x). So:
[tex](f-g) (x) = f (x) -g (x)[/tex]
We have:[tex]f (x) = - 3x-5\\g (x) = 4x-2[/tex]
So:
(f-g) (x) = - 3x-5- (4x-2)
We have to:
[tex]- * + = -\\(f-g) (x) = - 3x-5-4x + 2[/tex]
Equal signs are added and the same sign is placed while different signs are subtracted and the sign of the greater is placed
[tex](f-g) (x) = - 7x-3[/tex]
Answer:
Option D
if 8g=96, then g equals
Answer:
g = 12Step-by-step explanation:
[tex]8g=96\qquad\text{divide both sides by 8}\\\\\dfrac{8g}{8}=\dfrac{96}{8}\\\\g=12[/tex]
What are the solutions of the quadratic equation (x – 8)2 – 13(x – 8) + 30 = 0? Use u substitution to solve. x = –11 and x = –18 x = –2 and x = 5 x = 2 and x = –5 x = 11 and x = 18
Answer:
x=11 and x=18
Step-by-step explanation:
The given quadratic equation is;
[tex](x-8)^2-13(x-8)+30=0[/tex]
Let u=(x-8)
[tex]u^2-13u+30=0[/tex]
Split the middle term;
[tex]u^2-10u-3u+30=0[/tex]
Factor by grouping
[tex]u(u-10)-3(u-10)=0[/tex]
[tex](u-10)(u-3)=0[/tex]
We have either u=10 or u=3
This implies that;
x-8=10 or x-8=3
x=10+8 or x=3+8
x=18 or x=11
Answer:
The answer is D on EDGE 2020
Step-by-step explanation:
which of the following is circumference of a circle whose equation is x2+y2=100
Answer:
C = [tex]200\pi[/tex]
Step-by-step explanation:
C = [tex]2 \pi r[/tex], where r - radius
Since the equation of the circle is:
[tex]x^2 + y^2 = 100[/tex]
The radius is 100.
C = [tex]200\pi[/tex]
you sell ice cream cones. the table shows your profit for selling different numbers of cones . based on the x- and y-values in the table , which equation shows how the number of cones sold and profit (in dollars) are related
Answer:
y=2x-8
Step-by-step explanation:
this is the answer for ttm
What is angle E and what is the process finding it?
Answer: 39 degrees
Step-by-step explanation: The angle sum of a triangle is 180 degrees so we take 102 from 180.
180-102=78
Since the two angles are the same then we just divide 78 by 2
78/2=39
Answer:
∠E ≈ 37°
Step-by-step explanation:
Using the Sine Rule in ΔEFG, that is
[tex]\frac{26}{sinE}[/tex] = [tex]\frac{42}{sin102}[/tex] ( cross- multiply )
42 × sinE = 26 × sin102° ( divide both sides by 42 )
sinE = [tex]\frac{26(sin102)}{42}[/tex] ≈ 0.6055..
E = [tex]sin^{-1}[/tex] (0.6055 ) ≈ 37°
can a triangle have the sides with the given lengths of 2 in, 4 in, 6 in
Not sure. I would say no.
describe parallel lines and include a sketch that shows parallel lines. give real-world example of parallel lines. Use appropriate labeling and symbols
Answer:
The parallel lines are lines that are always at the same distance apart from each other and never touch. Also they must be drawn in the same plane.
Step-by-step explanation:
Consider the provided information.
The parallel lines are lines that are always at the same distance apart from each other and never touch. Also they must be drawn in the same plane.
The sketch that shows parallel lines is shown in figure.
The real life example of parallel lines.
Few examples are:
1) Railroad Tracks
2) Edges of walls
3) Zebra crossing
Parallel lines are straight lines that run in the same direction, never intersect, and maintain a constant separation distance, as seen in railroad tracks.
Parallel-Lines are two or more straight lines that run in the same direction and never intersect, no matter how far they extend. They maintain a constant separation distance between them, and their slopes (steepness) are equal.
In a sketch, parallel lines are depicted as lines that are equidistant from each other and do not cross, remaining at the same distance apart.
The sketch of parallel-lines is shown below;
A real-world example of parallel lines is railroad tracks. When you observe two railway tracks running alongside each other, they serve as a practical illustration of parallel lines. They remain equidistant throughout their length and never converge, ensuring safe and efficient train transportation.
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Pamela is doing a probability experiment with a box of colored paperclips comprised of red, green, blue, and yellow paperclips. She is drawing a paperclip at random from the box and records the color before returning the paperclip to the box. Her results are shown in the table below.
Color Number of
Times Drawn
Red 44
Green 38
Blue 42
Yellow 36
Complete the following sentences based on the outcomes in the table.
If a paperclip is drawn a total of 800 times, a yellow paperclip is expected to be drawn roughly
times.
If a paperclip is drawn a total of 80 times, a blue paper clip is expected to be drawn roughly
times.
If a paperclip is drawn a total of
times, a green paper clip is expected to be drawn roughly 1,235 times.
Answer:
Step-by-step explanation:
To calculate the number of yellow paperclips expected to be drawn if a paperclip is drawn 800 times, multiply the number of draws by the probability of drawing a yellow paperclip.
Therefore, if a paperclip is drawn a total of 800 times, a yellow paperclip is expected to be drawn roughly 180 times.
To calculate the number of blue paperclips expected to be drawn if a paperclip is drawn 80 times, multiply the number of draws by the probability of drawing a blue paperclip.
Thus, if a paperclip is drawn a total of 80 times, a blue paper clip is expected to be drawn roughly 21 times.
Finally, calculate the number of draws necessary if a green paperclip is drawn roughly 1,235 times, divide 1,235 by the probability of drawing a green paperclip.
Therefore, If a paperclip is drawn a total of 5,200 times, a green paper clip is expected to be drawn roughly 1,235 times.
moira scores 78 marks out of a possible 120 marks. What's Moira 's score as a percentage?
to figure out the percentage, you’ll have to do 78 divided by 120 (because it’s 78/120) which is 0.65. now, you’ll have to multiply by 100, so her percentage is 65%.
which is greater pls help 108.505 108.5? pls help!!
Answer:
108.505
Step-by-step explanation:
Let's talk money for just a second. Which would you rather have 20 dollars or 20.32 20dollars and 32 cents?
Isn't 20.32 bigger than 20.
You should say yes.
If that is true, then 108.505 should be larger than 108.5 not by much, but still larger.
After comparing digits after the decimal point, 108.505 is greater than 108.5 because 505 is greater than 500.
When comparing two decimal numbers, you should compare them digit by digit, starting from the leftmost digit. In this case, both numbers start with 108, which is the same. However, when comparing the next set of digits after the decimal point, you have 505 for the first number and 5 (equivalent to 500) for the second number. Because 505 is greater than 500, the first number, 108.505, is greater than the second number, 108.5.
hi can you help with this !
In a fruit cocktail, for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk. What proportion of the cocktail is coconut milk?
Give your answer as a fraction in its simplest form.
9/20 is coconut milk
The proportion of coconut milk in the fruit cocktail is 9/20, which is calculated by dividing the amount of coconut milk (45 ml) by the total volume of the cocktail (100 ml), then simplifying the fraction.
To find the proportion of coconut milk in the fruit cocktail, we first add up the total amount of all the liquids that go into the cocktail. According to the question, for every 25 ml of orange juice, there is also 30 ml of apple juice and 45 ml of coconut milk mixed together. Adding these amounts gives us a total mixture volume of 25 ml + 30 ml + 45 ml = 100 ml for the cocktail.
Next, we need to find out what fraction of this total mixture is coconut milk. Since there are 45 ml of coconut milk in the total 100 ml of the cocktail, the fraction is 45/100. This fraction can be simplified by dividing both numerator and denominator by the greatest common divisor, which is 5, giving us 9/20.
Therefore, the proportion of coconut milk in the fruit cocktail is 9/20.
Type the correct answer in the box. If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is °.
Answer:
x = 35 degrees.
Step-by-step explanation:
cos x = sin(20 + x)
Using the identity cos x = sin(90 - x):
20 + x = 90 - x
2x = 70
x = 35 degrees (answer).
Answer:
Value of x is 35°.
Step-by-step explanation:
Given:
cos x = sin ( 20 + x )
To find: Value of the x.
We know that [tex]sin\,(90-\theta)=cos\,\theta[/tex]
Consider,
cos x = sin ( 20 + x )
sin ( 90 - x ) = sin ( 20 + x )
Comparing both sides,
90 - x = 20 + x
-x - x = 20 - 90
-2x = -70
x = 35°
Therefore, Value of x is 35°.
could anyone help me with this problem i'm stuck
h(17)= ?
Answer:
[tex]\sqrt{17t}[/tex]
Step-by-step explanation:
Consider the right side of the table
It informs us of the values for h(t) for different values of t
The top one informs us what h(t) is when t = 17, that is
h(t) = [tex]\sqrt{17t}[/tex], when t = 17, thus
h(17) = [tex]\sqrt{17t}[/tex]
X^2=26 in the simplest radical form
Answer:
5^2
Step-by-step explanation:
Answer:
x = ±sqrt(26)
Step-by-step explanation:
x^2 = 26
Take the square root of each side
sqrt(x^2) = sqrt(26)
x = ±sqrt(26)
This cannot be simplified any further
The Empire State Building is 1250 feet tall. At 3:00 pm, Pablo stands next to the building and has an 8-foot shadow. If he is 6 feet tall, how long is the Empire State Building's shadow at 3:00 pm?
1666.67 feet
1.67 feet
166.67 feet
16.67 feet
Answer:
1666.67
Step-by-step explanation:
6ft.......................................8ft
1250ft................................xft
1250/6 = x/8
x = 1250/6*8
Nine is 50% of what number
Answer:
15.
Step-by-step explanation:
Divide each side by .15 9/.15 = .15/.15x
The .15 on the right side of the equation cancels to 1, so once you divide 9 by .15, you get the answer.
60 = x
18. ..................
plzzz help me asap i need the correct answer
Answer:
Option A
Step-by-step explanation:
Given
m=( y_2- y_1)/(x_2-x_1 )
In order to get the equivalent equation, multiplying the denominator x_2-x_1with m.
m(x_2-x_1 )=y_2- y_1
Adding y1 to both sides of equation will give:
m(x_2-x_1 )+ y_1=y_2- y_1+y_1
So the end result will be:
m(x_2-x_1 )+ y_1=y_2
Can also be written as:
y_2=m(x_2-x_1 )+ y_1
Comparing it the given options gives us that Option A is the correct answer.
The Correct answer is A
find the commission on a $750 sale if the commission is 24%
Answer:
The commission is $180
Step-by-step explanation:
To find the commission take the total (750) and multiply it by the percentage of commission (.24).
When you do this, you will get $180.
Hope this helps! :)
Answer:
its 180
Step-by-step explanation:
what is the value of x?
The two angles are supplementary angles and make a straight line.
This means when added together they need to equal 180 degrees.
x + 34 + 2x + 2 = 180
Combine like terms:
3x + 36 = 180
Subtract 36 from each side:
3x = 144
Divide both sides by 3:
x = 48
HD, JD, and KD are perpendicular bisectors of EFG find each length
Answer:
Part 1) [tex]HD=\sqrt{105}\ units[/tex]
Part 2) [tex]JD=2\sqrt{34}\ units[/tex]
Part 3) [tex]KD=6\sqrt{2}\ units[/tex]
Step-by-step explanation:
step 1
Find the length HD
In the right triangle HDF
Applying the Pythagoras Theorem
[tex]FD^{2} =HF^{2} +HD^{2}[/tex]
substitute the values and solve for HD
[tex]19^{2} =16^{2} +HD^{2}[/tex]
[tex]HD^{2}=19^{2}-16^{2}[/tex]
[tex]HD^{2}=105[/tex]
[tex]HD=\sqrt{105}\ units[/tex]
step 2
Find the length JD
In the right triangle JDF
Applying the Pythagoras Theorem
[tex]FD^{2} =JD^{2} +FJ^{2}[/tex]
we have
[tex]FD=19\ units[/tex]
[tex]FJ=JG=15\ units[/tex] ----> because JD is a perpendicular bisector
substitute the values and solve for JD
[tex]19^{2} =JD^{2} +15^{2}[/tex]
[tex]JD^{2}=19^{2}-15^{2}[/tex]
[tex]JD^{2}=136[/tex]
[tex]JD=\sqrt{136}\ units[/tex]
[tex]JD=2\sqrt{34}\ units[/tex]
step 3
Find the length KD
In the right triangle KDG
Applying the Pythagoras Theorem
[tex]GD^{2} =KD^{2} +GK^{2}[/tex]
we have
[tex]GD=FD=19\ units[/tex]
[tex]GK=17\ units[/tex]
substitute the values and solve for KD
[tex]19^{2} =KD^{2} +17^{2}[/tex]
[tex]KD^{2}=19^{2}-17^{2}[/tex]
[tex]KD^{2}=72[/tex]
[tex]KD=\sqrt{72}\ units[/tex]
[tex]KD=6\sqrt{2}\ units[/tex]
what is the Factored form of polynominal x^2-12x+27
the answer is (x−3)(x−9)
How do you prove 4 (cos^4A + sin^4A) / (3+cos4A) = (cos^4A-sin^4A) sec2A?
Step-by-step explanation:
Step 1: (sin²A+cos²A)²
Step 2: (a+b)² = a²+b²+2ab
Step 3: (sin²A+cos²A)²=sin⁴+cos⁴+2sin²Acos²A
make sure to use: sin²a+cos²a=1
Step 4: (1)²-2sin²Acos²A = sin⁴A+cos⁴A
Step 5: 1-2sin²Acos²A = sin⁴A+cos⁴A
Mean of the integers 8,-11,18,-8,-3
Answer:0.8, just add up and find the mean
First you add up all your numbers then you divide by how many numbers you have to get the mean.
Your answer would .8
What does x equal? Similarity
Check the picture below.
X= 2
This is the answer I don’t know if you want an explanation or not but it needs to be 20 cHaRaCterS lONg
consider these four points: A(4,3) B(1/2,1/5) C(0.6,0.7) D(3/4,root 7/4). which point lies on the circumference of the unit circle? point blank
Answer:
Point D lies on the circumference of the unit circle
Step-by-step explanation:
Use the unit circle formula x^2 + y^2 = 1 plug the possible answer choices into this formula and determine which one is true.
D(3/4,root 7/4) lies on the circumference of the unit circle , Option D is the correct answer.
What is a Unit Circle ?A unit circle is a circle with 1 unit radius and the center is at origin .
The equation of a unit circle is x ² + y² =1
The points given are
A(4,3) B(1/2,1/5) C(0.6,0.7) D(3/4,root 7/4).
To check if they lie on the circumference of a unit circle , They have to be substituted in the equation of unit circle.
Point A
4 ² + 3² =1
16+ 9 ≠ 1
Point B
(1/2) ² + (1/5)² =1
(1/4) + (1/25) = 1
29/100 ≠ 1
Point C
(0.6) ² + (0.7)² =1
0.85 ≠ 1
Point D
(3/4)² + (√7/4)² =1
(9/16) + (7/16) = 1
1 = 1
Therefore , Option D, D(3/4,root 7/4) lies on the circumference of the unit circle.
To know more about Unit Circle
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solve for x. find the zeros of the function. write the smaller solution first, and the larger solution second. h(x)=(-4x-3)(x-3)
Final answer:
The zeros of the function h(x)=(-4x-3)(x-3) are x=3/4 and x=3, with the smaller solution being 3/4 and the larger solution being 3.
Explanation:
To solve for x, we need to find the zeros of the function h(x) = (-4x-3)(x-3). The zeros of a function occur where the function equals zero, so setting h(x) to zero gives us:
0 = (-4x - 3)(x - 3)
A function is zero when any of its factors are zero. We can, therefore, set each factor equal to zero and solve:
-4x - 3 = 0 => x = -3/(-4) => x = 3/4
x - 3 = 0 => x = 3
So the zeros of the function are x = 3/4 and x = 3. The smaller solution is x = 3/4, and the larger solution is x = 3.
Write the relation as a set of ordered pairs. WILL MARK BRANLIEST!! PLEASE HELP ASAP!!!!
Answer:
Option a.
Step-by-step explanation:
An ordered pair is written in the following form: (x, y). It means, first the independent variable and secondly the dependent variable.
In the diagram, the first circle represents the independent variable, and the second circle represents the dependent variable.
Then, the set of ordered pairs is (From left to right)
(-3, 3) ; (0, 0) ; (2, -2).
So the correct option is option a.
Answer:
The correct answer is option a
(-3, 3), (0, 0) and (2, -2)
Step-by-step explanation:
From the figure we can see three points are marked.
Each points can be written as ordered pair (x, y)
From left to right we can write,
the three pots are,
(-3, 3), (0, 0) and (2, -2)
Therefore the correct answer is option a
identify which segment is the hypotenuse
1)lm
2)mn
3)ln
4) none of the above
the hypotenuse is always the line directly in front of the right angle.
so the answer is 2) mn
what is the expression of the quotient of 32 times a number and 4 is 16
Step-by-step explanation:
32x ÷ 4 = 16
32x = 64
x = 2
Can you help me find the surface area?
Formula
Area of base+Area of lateral faces❤️❤️❤️❤️
I will mark you brainliest!
Answer:
Surface Area of a Cube = 6[tex]a^{2}[/tex]
Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac
Surface Area of a Sphere = 4 pi r[tex]^{2}[/tex]
Surface Area of a Cylinder = 2( pi [tex]r^{2}[/tex]) + (2 pi r)* h
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