Answer:
20a - 22 + 3a = -4 + 24a
20a + 3a - 24a = -4 + 22
- a = 18
a = -18
What is the inverse of the function f(x) = x +3
Answer:
h(x) = x-3
Step-by-step explanation:
The inverse of a function works such that f(h(x)) = x. Also, f(h(x)) = h(x) + 3. Thus, x = h(x) +3 -> h(x) = x-3
i hope this helps!!! :)
Brett bought 2 shirts. One cost $4 more than 3 times the other. Together, the 2 shirts cost
him $72.
HELP PLEASE.
Answer:
one costs 17 dollars the other costs 55 dollars
Step-by-step explanation:
we have to make 2 equations using variables
x=shirt 1
y= shirt 2
y+x=72
x=3y+4
then substitute 3y+4 for x in the first equation
y+3y+4=72
subtract 4 and add y and 3y
4y=68
divide by 4
y= 17
use this for y in the second equation
x=3(17)+4
x=51+4
x=55
50 degrees
20 degrees
120 degrees
80 degrees
Answer:
50
Step-by-step explanation:
Answer:
∠ 2 = 50°
Step-by-step explanation:
5x + 55 and 2x + 100 are corresponding angles and are congruent, thus
5x + 55 = 2x + 100 ( subtract 2x from both sides )
3x + 55 = 100 ( subtract 55 from both sides )
3x = 45 ( divide both sides by 3 )
x = 15
Then
5x + 55 = 5(15) + 55 = 75 + 55 = 130°
5x + 55 and ∠ 2 are adjacent angles and are supplementary, thus
∠ 2 = 180° - 130° = 50°
If y is the cube root root of x, then x is? Given y = 3 Please explain so I understand, will give brainliest
Answer: x=27
Step-by-step explanation:
Just like square root but cube root is by 3 not 2. So to cube something is to times it by itself 3 times. 3x3x3=27
Y+4=2(x+3) In slope-intercept form
Also can I please have Brainliest?
Only if I'm correct of course.
Your welcome, Loves!
3x-y=6
-4x+2y=-8 solve using substitution method
Answer:
x= 3y+2
Step-by-step explanation:
The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 3) and (6, 11). A small triangle has a rise of 4 and run of 3. What is the equation of the line? y = 3 x + 3 y = three-fourths x + 3 y = four-thirds x + 3 y = 4 x + 3
Answer:
i think that the answer is the first equation
Step-by-step explanation:
The equation of the line passing through the points (0, 3) and (6, 11) is:
y = (4/3)x + 3.
Option C is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the equation of the line passing through the points (0, 3) and (6, 11).
We can use the slope-intercept form of a linear equation,
which is y = mx + b, where m is the slope of the line and b is the y-intercept.
First, we can find the slope of the line by using the formula:
[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]
where
[tex](x_1, y_1) = (0, 3)\\(x_2, y_2) = (6, 11).[/tex]
So,
m = (11 - 3) / (6 - 0) = 8/6 = 4/3
The slope of the line is 4/3.
Next,
We can use the point-slope form of a linear equation to write the equation of the line in terms of one of the points and the slope:
[tex]y - y_1 = m(x - x_1)[/tex]
Choosing the point (0, 3), we get:
y - 3 = (4/3)(x - 0)
Simplifying and solving for y, we get:
y = (4/3)x + 3
Therefore,
The equation of the line passing through the points (0, 3) and (6, 11) is:
y = (4/3)x + 3.
Learn more about equation of a line here:
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The sword maker in the cove ordered a special tape to wrap the sword handles with. He knew each sword would need 48 inches of tape. If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords? How much will he have left over or how much more will he need?
Answer:
a) If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords?
No he would not
b) How much will he have left over or how much more will he need?
= He would have 144 inches left over.
Step-by-step explanation:
The sword maker in the cove ordered a special tape to wrap the sword handles with. He knew each sword would need 48 inches of tape. If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords? How much will he have left over or how much more will he need?
From the above question, each sword would need 48 inches of tape
He would need to wrap 28 swords, hence:
1 swords = 48 inches
28 swords = x
x = 28 × 48 inches
= 1344 inches of tapes
Therefore to cover each sword he would need a total of 1344 inches of tape.
He ordered 100 feet of tape
We convert 100 feet to inches
1 foot = 12 inches
100 feet = x
x = 100 × 12 inches
x = 1200 inches
Hence, he ordered 1200 inches of tape.
a) If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords?
100 feet = 1200 inches of tapes
To wrap 28 swords he would need 1344 inches of tape hence, he would not have enough tape to wrap 28 swords.
b) How much will he have left over or how much more will he need?
= 1344 inches - 1200 inches
= 144 inches
He would have 144 inches left over.
Question 1
Solve
z
+ 13 > 25
4
A
Z>-48
B
Z>-3
o
С
Z<-48
D
z<4
Please help
[tex] \frac{z}{ - 4} + 13 > 25 \\ \frac{z}{ - 4} + \frac{ - 52}{ - 4} > \frac{ - 100}{ - 4} [/tex]
[tex] \frac{ - 52 + z}{ - 4} > \frac{ - 100}{ - 4} [/tex]
[tex] - 52 + z > 100[/tex]
[tex]z > - 100 + 52[/tex]
[tex]z > - 48[/tex]
THE ANSWER IS C z > -48
The question is in the picture below....
Answer:
The measure of the indicated exterior angle is 110°
Step-by-step explanation:
Let us revise the rule of the exterior angle
In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.
We will use this rule to solve the question
∵ The ladder, the house, and the ground formed a right triangle
∵ The ladder's angle with the ground facing away from the house is
an exterior angle of the triangle
∵ The angles of measures 90° and 20° are its opposite interior angles
→ By using the rule above
∴ The measure of the exterior angle = 90° + 20°
∴ The measure of the exterior angle = 110°
∴ The measure of the ladder's angle with the ground facing away
from the house is 110°
∴ The measure of the indicated exterior angle is 110°
Solve the equation 2 + 4.7 = -9.3.
Answer: positive then greater than
Step-by-step explanation:
How do you solve problems involving sequence? Discuss the mathematics concepts and principles applied when solving problems involving sequence
Step-by-step explanation:
Sequence is defined as arrangement f numbers in a specific or defined pattern. Sequence are categorized into
1) Arithmetic
2) Geometric
Arithmetic sequence are characterized by their common difference while Geometric sequence are characterized by their common ratio.
Given a sequance of numbers say;
T1, T2, T3...
The first term "a" of the sequence is T1
Common difference d = T2-T1 =T3-T2
Common ratio = T2/T1 = T3/T2
The formula for calculating nth term of an Arithmetic sequence is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
The nth term of a Geometric sequence is expressed as;
Tn = ar^{n-1}
r is the common ratio
Numbers are arranged in a sequence when they follow a predetermined or established pattern. Sequences can be divided into
1) Mathematics
2) Graphitic
Geometric sequences are characterized by their common ratio, whereas arithmetic sequences are distinguished by their common difference.
Suppose a sequence of numbers is given;
T1, T2, T3...
The sequence's initial term "a" is T1.
common distinction d = T2-T1 =T3-T2
T2/T1 Common Ratio T3/T2
The following is the formula for finding the nth term in an arithmetic sequence:
Tn = a+(n-1)d
The first term is a.
The number of terms is n.
d is the typical discrepancy
The nth term of a Geometric sequence is expressed as;
[tex]T_{n} =ar^{n-1}[/tex]
r is the common ratio
To learn more about information Sequence :
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Which set of ordered pairs represents a function?
{(3,3), (-9,-1),(-4,3), (3,1)}
{(2,4), (2,9), (-2,-8), (7,5)}
{(6,4),(-3,-6),(-3,9), (-8, –7)}
{(5,9), (-6,1),(6,5),(-8,5)}
Submit Answer
Answer:
{(5,9), (-6,1),(6,5),(-8,5)}
Step-by-step explanation:
There is no repeating X factor
Is (-1, -9) a solution to the equation y 9x?
Answer:
Yes if the equation is Y= 9X
Step-by-step explanation:
-9= 9×-1 ---} -9 = -9
HELP ME OMG ILL GIVE YOU BRAINLIEST AND ILL FOLLOW YOU!!!!!!!
Explain in detail with at least two sentences how to represent the sum of z1 and z2 geometrically given that z1 = 8 – I and z2 = -9 + 2i. Then, give the sum 21 + Z2 in rectangular form.
Answer:
Given are two complex numbers as
When we add algebraically, we add the real parts and then add the imaginary parts separately
Hence
Geometrically we draw position vector of both the points. The sum would be resultant of these two vectors.
Step-by-step explanation:
The sum of the complex number in rectangular form is -1 +i
Sum of complex numberComplex numbers are written in the form x + iy
Given the complex numbers expressed as:
z1 = 8 - i
z2 = -9 + 2i
Take the sum
z1 + z2 = (8 - 9) + (-i+2i)
z1 +z2 = -1 + i
Hence the sum of the complex number in rectangular form is -1 +i
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Tommy multiplied 0.24 by 100 to change it to what type of number?
A) percent
B) decimal
C) fraction
D) benchmark percent
it is any equation in the form f of x = ax to the second power + bx + c where a b and c are real numbers and a not equal to zero . is t a linear equation, quadratic,rational
Answer:
The answer to this depends on the accuracy of the way this is transcribed. If the value on the left side of the equals sign is indeed x, then it would be a rational equation. If it is meant to be another scalar value though, then this would be a quadratic equation.
Step-by-step explanation:
This depends on the what is on the other side of the equals sign. If it is a scalar value, then you are guaranteed a proper quadratic equation. In the example given though:
[tex]x = ax^2 + bx + c[/tex]
This is not actually true. In this example, we can divide both sides by x, giving us a very different equation:
[tex]x = ax^2 + bx + c\\1 = ax + b + c/x\\ax + c/x = 1b[/tex]
and this equation actually a rational one.
What is the point-slope form of an equation passing through (0, -5) with a 5 points
slope of 2? *
Answer:
y=2x-5
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]x_{1}=0, y_{1}=-5\\[/tex], and m=2
[tex]y-(-5)=2(x-0)[/tex], -(-5)-Two negatives make it positive, and you distribute the 2
[tex]y+5=2x[/tex], you now subtract 5 to get y by itself to get your answer of
[tex]y=2x-5[/tex]
*NOTE* (0,-5) is the y-intercept, so you could have used the linear equation of y=mx+b, m=2, and b(y-intercept)=-5
giving you y=2x-5
all my points! PLZ help me on this and explain ur answer plzz
8x27 using distributive property and mental math
Answer:
216
Step-by-step explanation:
8×20=160 and 8×7=56 160+56=216 idky u told me to do it in my head but i did so ya
Consider these functions:
f(x)=3x - 7
g(t)=1+1
What is the value of f(g(3))?
A.-1
B.0
C.3
D. 5
Answer:
A(-1)
Step-by-step explanation:
First, we will replace any x in g(x) with 3
g(x)=(3+1)/(3-1)=4/2=2
Thwn replace any x in f(x) with 2
f(x)=3(2)-7=6-7=-1 ⇒A
hope this helps
Write the equation of the line parallel to y = 3x + 3, that passes through (-3, 10).
y=3x+19
Step-by-step explanation:
equation parallel to y=3x+3 means having the same gradient .Here gradient is 3 where you equate equation with y=mx +c where m is the gradient and c is the y-intercept
Equation of line y=3x+c
you must find c ,replace point (-3,10) in equation y=3x+c
10=3(-3)+c
10=-9+c
10+9=c
c=19
equation of line parallel to y=3x+3 that passes through(-3,10) is y=3x+19
microzooplankton is _____ compared to macrozooplankton
a) smaller
b) bigger
c) faster
d) brighter in color
btw yes i put it on math because i feel like more people do math more
a ) smaller is correct answer
24 pencils costing a total of $3.00 how many cents per a pencil
Answer:
$0.125 , so 12.5 cents per pencil
Step-by-step explanation:
[tex]\frac{3.00}{24}[/tex]
You can double check this by doing [tex]0.125*24[/tex] , making sure it equals 3.
Answer:
The pencils cost about 13 cents a pencil.
Step-by-step explanation:
Divide 3 by 24 and you get 0.125 you can round to the nearest hundredth to get 13 cents. Also see if 12 cents is a answer if 13 cents is not available.
9 and 11! Will mark brainliest if you get both right:) help needed ASAP
Answer:
C & B
Step-by-step explanation:
Answer:
D, and A
Step-by-step explanation:
D because a straight line can not have a slope.
A because a straight line without a slope is shown, and located at x=4
At Saturday night’s football game there were 18 less fans than half the fans at Friday night’s game. There were “x” fans at Friday’s game. Write an expression to represent the number of fans at Saturday’s game.
This can be expressed in this form:
1/2x - 18.
Derrick is placing a right triangle in the coordinate plane. He knows that the longer leg is 3 times the length of the shorter leg. He places the longer leg on the x-axis.
What coordinates should he assign to the third vertex of the triangle?
Answer:
Longer leg is placed on X axis.
Let the longer leg be at A(0,0) and B(3 a,0),or (-3 a,0), which is either base or altitude.
AB= 3 a
As longer leg = 3 × shorter leg
Shorter leg should be placed either at (0,a) or (0,-a) maintaining triangle as right angled triangle.
Step-by-step explanation:
Quadrilateral MNOP is similar to quadrilateral SURT
Answer:
C is the anser i belive i im wrong im sorry
Step-by-step explanation:
Solve the system of equations.
5x + 2y = 12
5x – 2y = 28
Answer:
x=4 y=-4
Step-by-step explanation:
Step: Solve5x+2y=12for x:
5x+2y=12
5x+2y+−2y=12+−2y(Add -2y to both sides)
5x/5=−2y+12/5
x= −2/5y+12/5
−2/5y+12/5 for x in5x−2y=28
5(−2/5y+12/5)−2y=28
−4y+12=28(Simplify both sides of the equation)
−4y+12+−12=28+−12(Add -12 to both sides)
−4y=16
−4y/−4=16/−4
(Divide both sides by -4)
y=−4
Substitute −4 for y in x=−2/5y+12/5
x= −2/5y+12/5
x=−2/5(−4)+12/5
x=4
use the function d=v+9 to find the value of d when v =2
Answer:
D=11
Step-by-step explanation:
Answer:
d = 11
Step-by-step explanation:
Hope this help! Have a great day!