Answer:
Step-by-step explanation:
Given the functions
F(x) = 6-x²
G(x) = x²+4x-12
A) we are to find F(x)+g(x)
F(x)+G(x) = 6-x²+x²+4x-12
F(x)+G(x) = 6+0+4x-12
F(x)+G(x) = 4x+6-12
F(x)+G(x) = 4x-6
The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER
F(x)-g(x) = 6-x²-(x²+4x-12)
F(x)-g(x) = 6-x²-x²-4x+12
F(x)-g(x) = 6-2x²+4x+12
F(x)-g(x) = -2x²+4x+6
The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER
3) F(x)/G(x)
= 6-x²/x²+4x-12
The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER
Write an equation in slope-intercept form for the line with slope 7 and y-intersept -7
Answer:
y = 7x - 7
Step-by-step explanation:
1st we can look at the meaning of a slope intercept equation
y = mx = b
m = the slope
b = the y-intercept
now when looking at your equation you can plug in your numbers.
y = 7x - 7 is your final answer
High Hopes ^^
Barry-
X square +1/2x+blank= 2+ blank
The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds?
Answer:
[tex]E=3.97\times 10^{-27}\ \text{ergs}[/tex]
Step-by-step explanation:
It is given that,
The sun produces [tex]3.9\times 10^{33}\ \text{ergs}[/tex] of radiant energy per second.
We need to find how many ergs of radiant energy does the sun produce in [tex]1.55\times 10^7\ s[/tex].
Energy produced in 1 seconds = [tex]\dfrac{1}{3.9\times 10^{33}}\ \text{ergs}[/tex]
In [tex]1.55\times 10^7\ s[/tex], energy produced is :
[tex]E=\dfrac{1}{3.9\times 10^{33}}\times 1.55\times 10^7\ \text{ergs}\\\\=3.97\times 10^{-27}\ \text{ergs}[/tex]
Hence, the radiant energy produced in 1 second is [tex]3.97\times 10^{-27}\ \text{ergs}[/tex].
Answer:
Part A: It is given that,
The sun produces 3.9x10^33 ergs of radiant energy per second.
We need to find how many ergs of radiant energy does the sun produce in 1.55 x 10^7 s
Energy produced in 1 seconds = 1/3.9 x 10^33 ergs
In 1.55 x 10^7 s energy produced is : E=3.9/10^33 x 1.55 x 10^7 ergs
= 3.97 x 10^-27 ergs
In conclusion the radiant energy radiated per second 3.97 x 10^27 ergs
Step-by-step explanation:
The lowest point on the graph of a parabola that opens up is the what of the parabola?
a. range
b. axis of symmetry
c. vertex
d. domain
Answer:
c the vertex
Step-by-step explanation:
hope this helps!
2. 1. POINT A HAS COORDINATES (4,6) AND POINT O IS AT THE ORIGIN. FIND THE DISTANCE FROM O TO A. A 6
Answer:
√52 units
Step-by-step explanation:
Here we want to find the distance between two points;
O(0,0) and A (4,6)
We can use the distance formula to find this;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(4-0)^2 + (6-0)^2
D = √(16 + 36)
D = √52
So the distance between the two points is √52 units
Find the equation of the line in slope-intercept form. c Slope is 3/5 and (0, −2)
Answer:
y=3/5x-2
Step-by-step explanation:
The slope is already given, 3/5 so just plug it in to the base formula y=mx+b
And the coordinate (0,-2) is your y-intercept. So plug in -2 to b
Therefore y=3/5x-2
3x+8=13x-8x. Also it’s asking me to check can you send a check too thanks
Answer:
x = 4 CAN I HAVE BRAINEST PLZ
Step-by-step explanation:
3x + 8 = 13x - 8x (collect like terms)
3x + 8 = 5x (subtract 3x on both sides)
8 = 2x (divide by 2 on both sides)
4 = x
CHECK
3(4) + 8 = 13(4) - 8(4)
12 + 8 = 52 - 32
20 = 20
what is the total cost of $16 if you include 5% GST and 20% tip
Answer:$20
Step-by-step explanation:
16 divided by 10 = 1.6 (10%)
1.6 times 2 = 3.2 (20%)
16 + 3.2 = 19.2
1.6 divided by 2 = 0.8 (5%)
19.2 + 0.8 = 20$
Let me know if I helped! :D
Need help with 11. . . .
===========================================
Explanation:
You have the right idea, but keep in mind that it says consecutive even integers. So we're only looking at numbers like 2,4,6,8,... and these numbers must follow one right after another. If that "even" wasn't there, then your answer and steps would be 100% correct.
If x is an even number, then x+2 is the next even number, and x+4 is the one after that.
Add them up to get
(x)+(x+2)+(x+4)
x+x+2+x+4
(x+x+x)+(2+4)
3x+6
Then divide by 3 to compute the average
(3x+6)/3
3x/3 + 6/3
x+2
Set this average equal to 48 and solve for x
x+2 = 48
x = 48-2
x = 46 is the smallest number
x+2 = 46+2 = 48 is the middle value
x+4 = 46+4 = 50 is the largest
Note how the middle value is exactly the average. This is because we have symmetry going on here.
It's similar to how the average of the set {1,2,3} is 2 since 2 is in the middle.
-------------------
Check:
add the values: 46+48+50 = 144
divide by three: 144/3 = 48
The average of the set {46,48,50} is 48
This confirms the answer
Jaime can spend at most $15 today. He buys a drink and a bag of Takis for
$1.59. If gasoline costs $2.89 per gallon, how many gallons of gasoline can
Jaime afford to put in his car?
Answer:
Jaime can afford 4.6 gallons of gas in his car
A cat can run 30 mph at this rate how many minutes would it take a cat to run 1.5 miles
Answer:
Use a proportion::
time/dist = time/distance
t/1.5 = 1/30
t = 1.5/30
t = 15/300
t = 1/20 = 5/100 = 0.05
So A-0.05 is the final answer
Step-by-step explanation:
ik this was 3 yrs ago
Calculate the mean ,median, or mode of a distribution. There are 10 bags containing tickets numbered 1 to 20. Ten students draw a ticket from each bag. One student drew tickets with the numbers. 5,8,18,1,14,6,8,13,8,19 what would be the correct mean, median, and mode
Answer:
Step-by-step explanation:
Mean = sum of variables/sample size
Sum of variables = 5+8+18+1+14+6+8+13+8+19
Sum of variables = 100
Sample size = 10
Mean = 100/10
Mean = 10
Median is the value at the centre after rearrangement.
On rearrangement
1,5,6,8),8,8,(13,14,18,19
Median = 8+8/2
Median = 16/2
Median = 8
Mode is the value with the highest frequency. The value that occur the most. From the datas, the mode is 8 since it occurred 3 times.
A multiple-choice test with 50 questions has five possible choices for each question. There are 4 points for each correct answer, -1 point for each incorrect answer, and 0 points for each unanswered question. What is the total score of a student with 35 correct answers, 10 incorrect answers and 5 unanswered questions?
Answer:
130 points
Step-by-step explanation:
Answer:
130 points
Step-by-step explanation:
find the measure of each angle.
m
m
Answer:
BAC = 58, CAD = 32
Step-by-step explanation:
The angle of BAD is 90 degrees, this is represented by the red outline of a square. This means that adding angles BAC and CAD will equal 90.
15x - 2 + 7x + 4 = 90
Combine common terms
22x + 2 = 90
Solve for x
22x = 88
x = 4
Now you can plug x into the equation for each angle to find its value.
Angle BAC
15x - 2 = 15(4) - 2 = 60 - 2 = 58 degrees
Angle CAD
7x + 4 = 7(4) + 4 = 28 + 4 = 32 degrees
Answer this question... ( ^__^ )
Answer:
The answer is C
Step-by-step explanation:
Round 624.914 to the nearest tenth.
Answer:
624.9
Step-by-step explanation:
Answer:
625 i think
Step-by-step explanation:
If x+ 9 = 11, then x = 2.
x would equal 2...
Step-by-step explanation:
true.
Answer:
Yes, you are correct.
Step-by-step explanation.
We will flip the question.
11 - 9 = x
is the same as.
11 - 9 = 2...
________________________________________________________
So... x = 2.
PLEASE HELP!!! ILL GIVE BRAINLIEST
Answer:
*gives help*
:)
Step-by-step explanation:
The sun of D and 5 is greater than or equal to -1 and the sun of D and 5 is less than or equal to 4. List 3 integers that satisfy the inequality
Answer:
-5, -2, -1
Step-by-step explanation:
Inequalities
The question provides us with two conditions:
D+5≥-1
D+5≤4
Solve the first inequality. Subtract 5 to both terms:
D≥-1-5
D≥-6
Solve the second inequality. Subtract 5 to both terms:
D≤4-5
D≤-1
We must find three numbers that comply with both conditions, i.e. it must be greater or equal -6 and less or equal than -1. Any integer number in the interval [-6,-1] solves the problem. We select the following list:
-5, -2, -1
3(a+3)+6=30 Solve for a.
Answer:
a = 5
Step-by-step explanation:
3 (a + 3) + 6 = 30
Use the distibutive property to multiply 3 by a + 3
3a + 9 + 6 = 30
Add 9 and 6 to get 15
3a + 15 = 30
Subtract 15 from both sides
3a = 30 - 15
Subtract 15 from 30 to get 15.
3a = 15
Divide both sides by 3.
a = 15/3
Divide 15 by 3 to get 5
a = 5
Triangles J K L and P Q R are connected at points K and Q. The lengths of sides J K and Q P are congruent and the lengths of sides K L and K R are congruent. Angles L K J and R Q P are congruent.
Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.
a reflection only
a rotation only
a rotation and a reflection
a translation and a reflection
a translation only
Answer:
acd
Step-by-step explanation:
edg 2021
A reflection only, a rotation and a reflection and a translation and a reflection are the transformations that would map ΔJKL onto Δ QPR.
What is Congruency
Triangles that are identical in size and shape are said to be congruent triangles. Inferred from this is that the matching sides and angles are equal. Without checking each of the triangles' sides and angles, we can determine whether the two triangles are congruent.
Rule of Congruency:
1- SAS (Side-Angle-Side): Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.
2- ASA (Angle-Side-Angle): Two triangles are congruent if two triangles and the included side of one triangle are equal to two angles and the included side of the other triangle.
3- AAS (Angle-Angle-Side): Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal.
4- SSS (Side-Side-Side): If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
5- RHS (Right angle- Hypotenuse-Side): If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.
Since JK= QP
KL= KR
Angle LKJ= Angle QRP
So Δ LKJ ≅ Δ QRP.
Learn more about Congruency here
https://brainly.com/question/2102943
#SPJ10
Enter the correct answer in the box. What is the standard form polynomial that represents this product?
(-2m3 + 3m2 - m)(4m2 + m - 5)
Answer: -8m^5+10m^4+9m^3-16m^2+5m
Step-by-step explanation:
I had this question on a recent test and got it right
Hope this helps! :)
Answer:
The correct answer is:
-8m^5+10m^4+9m^3-16m^2+5m
Step-by-step explanation:
I got it right on the Edmentum test.
Identify the odd function.
A) f(x) = 5
B) f(x) = 8x
C) f(x) = |x3|
D) f(x) = x2 + 7
Answer:
Step-by-step explanation:
odd functions are those function in which
-f(x) = f(−x)
if the function is odd , the graph of function is symmetrical about origin.
_________________________________________________
In the given problem
option B is correct answer
B) f(x) = 8x
replacing x with -x to satisfy the above described condition
f(-x) = 8(-x) = -8x
as we know 8x is equal to f(x)
f(-x) = -8x = -f(x)
hence,
f(-x) = -f(x)
hence, option B is correct answer.
Alejandra drove from Michigan to Colorado to visit her friend. The speed limit on the highway is 70 miles/hour. If Alejandra’s combined driving time for the trip was 14 hours, how many miles did Alejandra drive?
PLease help me!
Answer:
13720 i think
Step-by-step explanation:
3to the 4 power times 2to the Third power
Answer:
648
Step-by-step explanation:
[tex]3^4 \cdot 2^3 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 2 \cdot 2 \cdot 2 = 81 \cdot 8 = 648[/tex]
Answer:
648
Step-by-step explanation:
Step 1:
First, make an equation:
3⁴ · 2³
Step 2:
Then, simplify both factors:
3⁴ = 81
2³ = 8
Step 3:
Finally, multiply the numbers together:
81 · 8
And you will get 648.
Help this is due today!
Answer:
that looks hard! gl :)
Step-by-step explanation:
if I have a garden that's 10 yards and I want to grow a plant that's 2.5 yards how many of that can I plant
Answer:
4
Step-by-step explanation:
2.5y x 4 = 10y
Hope This Helps
<3
Answer: 4 plants.
Step-by-step explanation:
In the case that these measurements are of length, the plant being 2.5 yards and the total length of the garden area being 10 yards, the most simple way to solve this is to find how many 2.5 yard sections of this garden are in the given plot.
[tex]10/2.5 =4[/tex]
When 10 is divided by 2.5 you receive the answer "4". You can fit 4 plants within the garden. 2.5 x 2 is 5, and 5 x 2 is 10. 2 x 2, therefore, would give you the answer 4.
I hope this explanation helped you understand the question and the answer better.
Evaluate the expression below using the properties of operations. Show your steps to receive full credit. −36 ÷ 14 ⋅ (−18) ⋅ (−3) ÷ 6
Answer:
(-162)/7 or -23 1/7 as a mixed fraction
Step-by-step explanation:
Simplify the following:
(-36)/14 (-18) (-3)/6
Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.
(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):
(-36 (-18) (-3))/(14×6)
Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.
(-18)/6 = (6 (-3))/6 = -3:
(-36-3 (-3))/14
Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.
The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:
(-18 (-3) (-3))/7
Hint: | Multiply -18 and -3 together.
-18 (-3) = 54:
(54 (-3))/7
Hint: | Multiply 54 and -3 together.
54 (-3) = -162:
Answer: (-162)/7
Describe what needs to be done to isolate the variable in this equation
-7t = 5.6
A. add 7
B. subtract 7
C. multiply by 7
D.Divide by 7
what equation represents a line which is perpendicular to x=0
Answer:
x= 1
Step-by-step explanation:
any equation where x = a single number
The equation of line which is perpendicular to x=0 is y = 7.
What is Line segment?
A line segment is a piece or part of a line having two endpoints.
The condition is given as;
A equation which represents a line which is perpendicular to x=0.
Now,
When we plot x = 0 vertical line , a perpendicular line of x = 0 will simply have a y - value.
Thus, By option;
The equation of line which is perpendicular to x=0 is y = 7.
Learn more about the line segment visit:
https://brainly.com/question/16776000
#SPJ5
The complete question is this;
What equation represents a line which is perpendicular to x=0?
1. y = 7
2. x = 4
3. y = x + 1
4. x = 3y