Answer:
{3, 5, 6, 7}
Step-by-step explanation:
Plug in each number form the domain and solve for f(x). The set of f(x) values is the range.
f(x) = -x + 4
f(-3) = -(-3) + 4 = 7
f(-2) = -(-2) + 4 = 6
f(-1) = -(-1) + 4 = 5
f(1) = -1 + 4 = 3
Range: {3, 5, 6, 7}
Subtracting Fractions:
What’s 4 - 4/7 =
2.) 3 - 5/7 =
3.) 4 - 3/4 =
4.) 2 - 5/8 =
need help with this I’ll give brainlist!
Answer:
[tex]4 - \frac{4}{7} \\ \frac{4 \times 7 - 4}{7} \\ \frac{28 - 4}{7} \\ \frac{24}{7}
I hope it helped U
stay safe stay happy
A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds find the car acceleration
Answer:
acceleration [tex]\approx 2.78\,\,\frac{m}{s^2}[/tex]
Step-by-step explanation:
The acceleration is the change in velocity per unit of time.
Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:
[tex]70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}[/tex]
so in this case the acceleration becomes:
[tex]accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}[/tex]
help me guys! 50 points!
Answer:
The volume of the irregular figure would be 144 [tex]cm^3[/tex].
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 [tex]cm^3[/tex], and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 [tex]cm^3[/tex]. So the volume of the entire irregular figure would be 108 + 36 = 144 [tex]cm^3[/tex].
Answer:
144 cm^3
Step-by-step explanation:
Large rectangle:
12 × 3 × 3 = 36 × 3 = 108
Small rectangle:
7 - 3 = 4
4 × 3 × 3 = 12 × 3 = 36
Both:
36 + 108 = 144
Hope this helped.
how many 6-digit numbers can be created using8, 0, 1, 3, 7, and 5 if each number is used only once?
Answer:
600 numbers
Step-by-step explanation:
For six-digit numbers, we need to use all digits 8,0,1,3,7,5 each once.
However, 0 cannot be used as the first digit, because it would make a 5-digit number.
Therefore
there are 5 choices for the first digit (exclude 0)
there are 5 choices for the first digit (include 0)
there are 4 choices for the first digit
there are 3 choices for the first digit
there are 2 choices for the first digit
there are 1 choices for the first digit
for a total of 5*5*4*3*2*1 = 600 numbers
Plssss help me with this question!!!!
[tex]\\ \sf\longmapsto x+14+x=32[/tex]
[tex]\\ \sf\longmapsto 2x+14=32[/tex]
[tex]\\ \sf\longmapsto 2x=32-14[/tex]
[tex]\\ \sf\longmapsto 2x=18[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{18}{2}[/tex]
[tex]\\ \sf\longmapsto x=9[/tex]
What rational number, when multiplied by an irrational number, has a product that is a rational number? (1 point)
оооо
Answer:
It's 0Step-by-step explanation:
Why?
Because if you multiplied any irrational number by 0 will be equal to 0 and 0 is rational number.
For example, 5.6371...... x 0 = 0
Plz help ASAP ill give brainliest What is 600 square
Answer:
360,000
Step-by-step explanation:
When you square something you multiply it by itself. With that in mind, 600 square or 600^2 would be 600x600 which equals 360,000. Please mark as brainliest.
8.Find the nature of the roots of the quadratic equation
(1 Point)
2 − 5 − 7 − 0x2 − 5x − 7 − 0
Imaginary
Real and Equal
Real and Unequal
None of These
please give the answer as fast as you can
please
Answer:
Real and unequal
Step-by-step explanation:
We are tasked with finding the nature of the roots of the given quadratic equation.
The given quadratic equation is;
x^2 -5x -7
Firstly, we should know that we cannot solve this by factorization, as we will run into problems.
Now the catch is, although we cannot solve by factorization, we can solve by using the quadratic formula.
Now let’s check if our roots are imaginary or real.
For the roots to be imaginary or real, we will work with calculating the value of the expression b^2 -4ac
The value of this would tell us the nature of the roots. While a negative value would tell us the roots are imaginary, a positive value will tell us the roots are real.
So from the question, b = -5( coefficient of x) , while c = -7 and a = 1 ( coefficient of x^2)
Plugging these values into the equation, we have;
-5^2 - 4(1)(-7) = 25 + 28 = 53
This tells us the roots are real
The last issue is to know if the roots are equal or not.
The roots cannot be equal. This is because the term b^2 - 4ac would be in the root and yield a positive and a negative value which cannot give equal answers when added to (-b)
This from the quadratic formula;
x = {-b ± √(b^2-4ac)}/2a
Is pi + 1 rational or irrational
Answer: Irrational
==========================================================
Explanation:
Let's assume that pi+1 is rational
If so, then pi+1 = m/n where m and n are integers and n is not zero.
Let's isolate pi
pi+1 = m/n
pi = (m/n) - 1
pi = (m/n) - (n/n)
pi = (m - n)/n
This says that pi is rational, as it's in the form integer/integer. But in reality, pi is irrational. The decimal form of pi goes on forever without any known pattern.
So going back to the assumption where we said "pi+1 is rational", that assumption can't be true. If it were true, then it leads to a contradiction. Therefore, pi+1 is irrational.
[tex]\huge\text{Hey there!}[/tex]
[tex]\boxed{\huge\text{\boxed{\mathsf{\pi + 1}}}}\\\boxed{\boxed{\huge\text{\boxed{= \mathsf{3.141593 + 1}}}}}\\\\\boxed{\boxed{\huge\text{\boxed{= \bf 4.141593}}}}\\\\\boxed{\huge\text{\boxed{\pi \approx \bold{3.14}\ \& \ 3.14 + 1\ is \approx \bf \underline{\underline{4.14}}}}}[/tex]
[tex]\huge\bullet\huge\text{ Pi \boxed{\pi} is an irrational number so any}\\\huge\text{real numbers (0 \& up) cannot be}\\\huge\text{indicated (expressed) by the clearer}\\\huge\text{(simple) fraction\bf (s)}[/tex]
[tex]\boxed{\boxed{\huge\text{To \underline{ANSWER} Your question it is: \bf \underline{\underline{irrational}}}}}\huge\checkmark[/tex][tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]~[tex]\boxed{\huge\text{\boxed{\frak {Amphitrite1040:)}}}}[/tex]
the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the tower
Answer:
30.51 meters
Step-by-step explanation:
Given that:
The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.
According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°
Also let the distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B
To find B, since the angle between the height of the tower and the base is 90°, we use:
B + 36° + 90° = 180° (sum of angles in a triangle)
B + 126 = 180
B = 180 - 126
B = 54°
Therefore using sine rule:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters[/tex]
The height of the tower is 30.51 meters
are there any inputs that cannot be evaluated by the function 6/x-3?
Answer:
as written
[tex]\frac{6}{x} -3[/tex] zero would not be allowed....
BUT !!! I think that your question
is ......
[tex]\frac{6}{x-3}[/tex] then the answer is "3"
Step-by-step explanation:
A jar contains only red, white and blue marbles. The number of red marbles is 4/5 the number of white ones, and the number of white ones is 3/4 the number of blue ones. If there are 470 marbles in all, how any of them are blue?
•120
•200
•150
•184
Answer:
200
Step-by-step explanation:
i multiplied the answer choices by the fractions and 200 was the one that checked out
Write the equation for the line that passes through the points (4, 5) and
(6,9). *
O y = 2x-3
O y = 0.5x - 3
O y = 0.5x + 6
O y = 2x + 6
None of the Above
Answer:
Step-by-step explanation:
(9-5)/6-4)= 4/2= 2
y - 5 = 2(x - 4)
y - 5 = 2x - 8
y = 2x - 3 is the solution
Answer:
the answer is y = –2x – 5 hope this helps:) give brainliest if it does
Step-by-step explanation:
i got it right on edge
Correct answer gets brainliest and 5 stars
Answer:
B
Step-by-step explanation:
At which times could rory phone have been plugged into the charger?select three options
Answer:
9hrs 11hrs 19hrs
Step-by-step explanation:
just took the quiz on edge 2020
Answer:
9 hours, 11 hours, 19 hours.
pls help G, H, I, J pls explain
Part G
The two angles ABD and DBC form a straight line, so the angles add to 180 degrees.
Let's solve for x.
angle ABD + angle DBC = 180
(0.5x+20) + (2x-10) = 180
2.5x+10 = 180
2.5x = 180-10
2.5x = 170
x = 170/2.5
x = 68
Then we'll use this to find angle ABD
angle ABD = 0.5*x + 20
angle ABD = 0.5*68 + 20
angle ABD = 34 + 20
angle ABD = 54
Answer: 54 degrees============================================================
Part H
Use the value of x we found back in part G to find the measure of angle DBC
angle DBC = 2x - 10
angle DBC = 2(68) - 10
angle DBC = 136 - 10
angle DBC = 126
An alternative is to subtract the measure of angle ABD from 180
angle ABD + angle DBC = 180
angle DBC = 180 - (angle ABD)
angle DBC = 180 - 54
angle DBC = 126
Answer: 126 degrees============================================================
Part I
This time, the two angles add to 90 degrees as shown by the square corner marker.
(angle XYW) + (angle WYZ) = 90
(1.25x - 10) + (0.75x + 20) = 90
2x + 10 = 90
2x = 90-10
2x = 80
x = 80/2
x = 40
which then leads to,
angle XYW = 1.25*x - 10
angle XYW = 1.25*40 - 10
angle XYW = 50 - 10
angle XYW = 40
Answer: 40 degrees============================================================
Part J
We can subtract the result of part I from 90 degrees to get the answer
angle WYZ = 90 - (angle XYW)
angle WYZ = 90 - 40
angle WYZ = 50
Or we could plug the x value x = 40 into the expression for angle WYZ
angle WYZ = 0.75*x + 20
angle WYZ = 0.75*40 + 20
angle WYZ = 30 + 20
angle WYZ = 50
Answer: 50 degrees============================================================
Summary:
The answers we found were
G. 54 degreesH. 126 degreesI. 40 degreesJ. 50 degreesAnswer:
G. m∠ABD = 54°
H. m∠DBC = 126°
I. m∠XYW = 40°
J. m∠WYZ = 50°
Step-by-step explanation:
∠ABD and ∠DBC are supplementary angles. This means their angles have a sum of 180°.
[tex]\frac{1}{2}x+20+2x-10=180\\\frac{5}{2}x+10=180\\\frac{5}{2}x=170\\x=68[/tex]
m∠ABD = 1/2(68) + 20 = 34 + 20 = 54
m∠DBC = 2(68) - 10 = 136 - 10 = 126
Same concept for ∠XYW and ∠WYZ only this time they are complementary angles. This means their angles have a sum of 90°.
[tex]1\frac{1}{4}x-10+\frac{3}{4}x+20=90\\2x+10=90\\2x=80\\x=40[/tex]
m∠XYW = 1 1/4(40) - 10 = 50 - 10 = 40
m∠WYZ = 3/4(40) + 20 = 30 + 20 = 50
Interior angles are located on the a. Inside b. Outside of a polygon. Exterior angles are located on the a. Inside b. Outside of a polygon.
Answer:
Interior angles are inside. Exterior angles are outside.
Step-by-step explanation:
"Interior" means inside. "Exterior" means outside.
Answer:
inside, outside
Step-by-step explanation:
MATH QUESTION: Julie bought a bag of parsnips that weighed 4 2/7 pounds. She also bought a bag of turnips that weighed 1 1/3 times as much as the parsnips. How many pounds of turnips did Julie buy? Express your answer as a simplified mixed number.
Answer:
5 5/7
Step-by-step explanation:
Convert it to fractions:
30/7 and 4/3
Now multiply.
120/21
Simplify it:
5 5/7
The Three Stooges are having a pie eating contest. In 3 hours, Moe can eat 36 pies, Larry can eat 30, and Curly can eat 60. How many hours does it take them to eat 126 pies?
Answer:
3 hours
the information states in 3 hours they eat 36+30+60 = 126 pies.
Answer:
Altogether, the three stooges will consume 126 pies in three hours.
Step-by-step explanation:
1. In one hour, the three stooges can eat their total divided by three: Moe can eat 12 in one hour, Larry can eat 10 in one hour, and Curly can eat 20 in one hour. Therefore, the three stooges can eat 42 pies in one hour altogether. So, we have the equation 126 = 42h where h = the number of hours. Solving for 126 gives us 126/42 = h. h = 3. The three stooges can eat 126 pies in three hours.
What is the measure of angle B?
Answer:
b = 60
Step-by-step explanation:
The sum of the angles of a triangle are 180
80+40+b = 180
Combine like terms
120+b =180
Subtract 120 from each side
b = 180-120
b = 60
Answer:
60°
Step-by-step explanation:
Recall that all triangles have an interior angle sum of 180. In other words:
[tex]\angle A+\angle B +\angle C = 180[/tex]
Plug in the angle values we know:
[tex](80)+(40)+\angle B = 180\\120+\angle B =180\\\angle B = 60\textdegree[/tex]
In the following hypothetical example, a researcher applies varying amounts of fertilizer (0, 2, 4, 8, 10 units) to potted tomato plants. All other variables that may affect the outcome (watering, temperature, sunlight, plant size, etc.) are kept the same from pot to pot. At the end of the growing season, the tomatoes grown on each plant are weighed to determine which fertilizer level produces the largest tomato yield. Which variable was the independent variable and which was the dependent variable
Help!!! please!!! Confused!
Please answer quickly!
Answer:
T'(-1, -3)
U'(-8, -3)
V'(-9, -10)
W(1, -10)
Step-by-step explanation:
For each point, draw a segment from it to the line y = -x and perpendicular to the line, and extend it the same distance to the other side of the line.
T'(-1, -3)
U'(-8, -3)
V'(-9, -10)
W(1, -10)
Please help me asap!!! ):
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It is helpful to understand that the product of the binomial factors is ...
(ax +b)(cx +d) = ac·x² +(ad+bc)x +bd
For these problems you only need to look at the constant and the leading coefficient to find the missing values.
__
1. d = 8/-4 = -2
2. b = -24/(3·2·d) = -4; c = 3/(3·a) = 1
3. a = 2/c = 1; d = -24/b = 6
How does the graph change between point A and point B?
5
4
3
B
А A
1
-2-1
6 7
8
X
-2
The graph increases
The graph decreases.
The graph remains constant.
The graph increases, then decreases.
Answer:
Step-by-step explanation:
A
Answer:
A
Step-by-step explanation:
Translate this phrase into an algebraic expression. Five more than the product of 8 and Vanessa's savings Use the variable v to represent Vanessa's savings.
Step-by-step explanation:
so, what's the difficulty ?
the product of two things means a multiplication. something times something else.
the product of 8 and Vanessa's savings is therefore expressed as ("×" is the multiplication symbol)
8 × v
and five more than that means just to add 5 to that.
so, in total, we have
8 × v + 5
remember that multiplications and divisions must be executed before any +/- operations (except for any brackets telling us otherwise).
Read the following problem: "Find the number, if the sum of 9 and a half a number equals 35." Which of the following translations is correct?
9 + x + 2 = 35
9 + 2x = 35
9 +35 = 2x
None of these choices are correct.
The value of G for a one-piece 30° x 60° angle iron bracket is 1'/4 inches, and the width of the angle iron is 2 inches. What is the thickness of the metal, in inches? A. 31/4 inches B. 3/4 inch C. 21/2 inches D. 1/4 inch
Answerb
Step-by-step explanation:
yeal
Slope -1/4, passes through (12,-4)
Answer:
y = - [tex]\frac{1}{4}[/tex] x - 1
Step-by-step explanation:
Assuming you require the equation of the line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{4}[/tex] , then
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute (12, - 4) into the partial equation
- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1
y = - [tex]\frac{1}{4}[/tex] x - 1 ← equation of line
On what sum of money will the compound interest for 2 years at 8% p.a. will be ₹7448?
Answer:
Rs.6420
Step-by-step explanation:
we know that A=P(1+r/100)
7488=P(1+8/100)2
7488*10000/108*108=P
P=Rs.6420
Answer:
Principal=Rs.45000 ; And Amount=Rs.52488.
Step-by-step explanation:
For finding Principal i used the formula:[ x(1+8/100)^2-x] =C.I ( where x = P)
And for Amount : Sum of principal and interest.
Hope so, you liked my solution.