Answer:
Step-by-step explanation:
x+y=180; y+z=180
145+z=180
z= 35
y=180-35
y =145
x=180-145
x= 35
---------------------
2x-10=x+80
x=90
3y-4 =y+20
2y = 24
y = 12
If g(x)is the inverse of f(x) and f (x) = 4 x + 12, what ig(x)
g (x) = 12 x + 4
g (x) = one-fourth x minus 12
g (x) = x minus 3
g (x) = one-fourth x minus 3
Answer:
The inverse of a given function
d) [tex]g(x) = \frac{1}{4} x - 3[/tex]
Step-by-step explanation:
Explanation:-
Given that f(x) = 4x + 12
let y = 4 x + 12
4 x = y - 12
[tex]x = \frac{y-12}{4}[/tex]
[tex]x = \frac{1}{4} y - 3[/tex]
we know that y = f(x)
⇒ x = f⁻¹(y)
[tex](f^{-1} y) = \frac{1}{4} y - 3[/tex]
Put replace 'y' in 'x'
[tex](f^{-1} x) = \frac{1}{4} x - 3[/tex]
Final answer:-
The inverse of a given function
[tex]g(x) = \frac{1}{4} x - 3[/tex]
Answer:
D
Step-by-step explanation:
Right on edge
-10 + -3u = -4 answer please
Answer:
U=-4.66666 sorry if this is wrong I tried though
Step-by-step explanation:
-10 + -3u = -4
-3u=-14
U=-4.66666
Please answer quickly
Our national debt is growing rapidly. Find the current amount owed and share this information in a post to this discussion board, while answering the following questions:
Share the debt amount in standard notation and scientific notation.
How quickly does the debt grow?
Answer:
a. The current national debt is roughly 27.832 trillion dollars.
b. In standard notation, this is: $27,832,000,000,000.
c. In scientific notation, this is: [tex]2.7832 x 10^{13}[/tex].
d. It grows (on average) roughly 2-3 percent per year, which, for recent years, is around 800 billion dollars per year.
I hope this helps! Please feel free to give me Brainliest if you feel this helped. Have a good day and a good rest of your 2021. :)
(image from Market Watch.)
Answer:
the current national debt is $27,800,000,000,000. this number is scientific notation equals 10^13 times 2.78. it grows around 2 percent per year.
have a good day :)
Carla ate 4/8 of the cake .Rahma ate 2/16 of the cake . What portion of the cake did they eat in all
Answer:
5/8
Step-by-step explanation:
2/16=1/8
4/8+1/8=5/8
Answer:
10/16 or 5/8 of the cake
Step-by-step explanation:
Hopes this helps :)
Enter the minimum value for the function f(x)=3x^2-12x+4
Answer:
(2,-8)
Step-by-step explanation:
use the formula : x= -b/2a
Hope i helped :)
Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added together, the x term is eliminated? 1 5 3 4 TY - y = 8 0-10 times the first equation and 3 times the second equation O 10 times the first equation and 3 times the second equation 0 -3 times the first equation and 5 times the second equation O 3 times the first equation and 5 times the second equation
Answer:
The correct answer is A.
Step-by-step explanation:
1/5*-10/1=-10/5= -2
2/3*3/1=6/3= 2
----------------------------
0.
Answer:
a –10 times the first equation and 3 times the second equation
Step-by-step explanation:
jennifer is designing shirts for her dance team. she bought 2 and 1/4 of fabric her total cost was $15 what was her cost per yard
Answer:
I believe it $6.67
Not sure, sorry!
Step-by-step explanation:
please help!
What is the first step in solving the quadratic equation x2 = 9/16
- Take the square root of both sides of the equation.
-Add 1 to both sides of the equation.
-Square both sides of the equation.
-Subtract 1 from both sides of the equation.
Answer:
Take the square root of both sides
Step-by-step explanation:
I'm going to assume your questions looks like this
[tex]x^{2} =\frac{9}{16}[/tex]
To solve this you just take the sqareroot of both sides which should get you
-3/4, 3/4=x
i give brainlilstttttt
Answer:
the answer is A. 36
Step-by-step explanation:
because the rectangles are proportionate, I set up ratios.
90:75 so h:30
from there I did 70/30 because those sides are proportionate to each other and this got me 2.5. then I did 90/2.5 to get 36
Answer:
jjjjjjjjjjjjjjjjjjjjjjhhh,jh,jh,jh,jhjh,
Step-by-step explanation:
jh,jh,jh,j,j,j,jh,jh,jh,jh,jh,jh,
Help please! Look at pic ASAP! Giving brainlest to the right amswer
Answer:
27 divided by 6=?
=4.5
divide the 27 into 6 equal container to get the amount of ounce per container
What attributes of a rectangles and rhombuses are also attributes of parallelogram
Answer: rhombus, rectangle, and square — are so-called because they’re special cases of the parallelogram.
Step-by-step explanation:
Answer: rhombus, rectangle, and square — are so-called because they’re special cases of the parallelogram.
Step-by-step explanation:
PLEASE HELP ME I HAVE 20 MINUTES TO FINISH!!!!
There are 739 seats in a theater . Round the nearest hundred
Answer:
700
Step-by-step explanation:
when rounding a number use the place to the right of it so 739 and if its 1-4 then keep the number the same, if 5-9 round up, since its 3 keep it the same and when rounding always get rid of the numbers after number rounded
Y2-x3 when x=2,y=4 x1+x3-y2 when x=3 y=5 x4 divide x3 x=6 please help am bad at this
Answer:
8 , 5 , 5.785
Step-by-step explanation:
y^2 - x^3
first just plug in the numbers and you get
(4)^2 - (2)^3
Multiply
16-8 and this equals 8
x1 + x^3 - y^2
same pattern plug in the numbers
(3)^(1) + (3)^3 - (5)^2
multiply
3 + 27 - 25
P
E
M
D
Addition
Subtraction so do 3+27 first and you get
30 - 25 = 5
x^4 / x^3 plug it in
(6)^4 / (6)^3
multiply
1269 / 216
divide this and you get
5.875
A school has 575 pupils. 56% of the pupils are boys. how many are girls?
There are 253 girls in a school.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
A school has 575 pupils.
And, There are 56% of the pupils are boys.
Here, 56% of the pupils are boys.
Hence, Percent of the girls = 100% - 56%
= 44%
Since, A school has 575 pupils.
Hence, Number of girls = 44% of 575
= 44/100 × 575
= 253
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Given: R is the midpoint of QT , QS=TS
Prove: RQS = RTS
Reasons
Statements
1.
2.
2.
4.
5.
5.
Answer:
The answer is below
Step-by-step explanation:
Prove ∠RQS = ∠RTS
Two triangles are said to be congruent if all the three sides and three angles of one triangle is equal to the three sides and three angles of another triangle.
Statement Reason
QS ≅ TS Given
RS ≅ RS Reflexive property of congruence.
R is the midpoint of QT Given
QR = RT R is the midpoint of QT. Therefore by
definition, QR = RT.
ΔRQS = ΔRTS Side-side-side triangle congruence theorem. If
three sides of one triangle is equal to three
sides of another triangle, then both triangles
are congruent to each other.
∠RQS = ∠RTS Corresponding angles of congruent triangles
are equal.
The tape diagram models the lengths of two snowboarding trails. The expert trail is 1200 meters long. How long is he beginner trail?
Answer:
300 ft long
Step-by-step explanation:
divide 1200 by 4 sense the beginners trail is one-fourth the length of the expert trail
The length of beginner trail is 300 meter long.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The tape diagram models the lengths of two snowboarding trails.
And, The expert trail is 1200 meters long.
Now, The length of beginner trail is,
⇒ 1200 / 4 meter
⇒ 300 meter
Thus, We get;
⇒ The beginner trail is 300 meter long.
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The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in terms of y for hiring a taxi for y kilometers.
Answer:
The required expression is:
y = 0.5x + 3Please check the attached graph too.
Step-by-step explanation:
The slope-intercept form of the linear or line function
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptIn our case,
The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.
Thus, the y-intercept b = 3
It is stated that the cost of per kilometer distance = $0.5
Thus, the rate of change or slope m = 0.5
As y represents the cost and x represents the number of kilometers.
so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function
y = mx+b
y = 0.5x + 3
Thus, the required expression is:
y = 0.5x + 3Please check the attached graph too.
please answer 14 and 15 please!
Answer: number 14 is 30.78 x 10 to the exponent of 11
Step-by-step explanation:
you multiply 8.1 and 3.8 together which would equal 30.78 and you add the exponents together since they are being multiplied.
Six people buy pumpkins for $5 each. How much is the total cost for all the pumpkins?
Answer:
$30
Step-by-step explanation:
6 people and each one buys a $5 pumpkin so we'll multiply
6x5=30 dollars
Answer:
if each person is buying one than 30 together but if there's no amount than who knows
Step-by-step explanation:
5×6=30
One thermos of hot chocolate uses 2/3 cup of cocoa powder. How many thermoses can Nelli make with 3 cups of cocoa powder?
Answer:
4 thermoses of hot chocolate
The number of thermoses that Nelli makes with 3 cups of cocoa powder will be 2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
One thermos of hot chocolate uses 2/3 cup of cocoa powder.
Then the number of thermoses that Nelli makes with 3 cups of cocoa powder will be given by the multiplication of 2/3 and 3.
⇒ (2/3) x 3
⇒ 2
The number of thermoses that Nelli makes with 3 cups of cocoa powder will be 2.
More about the Algebra link is given below.
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Jennifer is 40 miles north of her house, and she is driving north on the highway at a rate of 35 miles per
hour.
The slope is ?
The y-intercept is ?
Answer:
The slope is 55.
Step-by-step explanation:
Slope determines the direction and the rate of increase or decrease between the two points on a surface or line.
In the question, it is given initially she is 20 miles north of her house
⇒ When x = 0 the y-coordinate is 20
So, the y-intercept is 20
Now, it is given that the rate of change is 55 miles per hour
Hence, the slope is same as 55 because it is the actual rate of change between the positions of Jennifer with time.
Brandy made $58,474 this past year. She spent half of it on her bills and spent $15,545 on a new car. After all of Brandy’s expenses, how much does she have left?
Suppose that the functions u and w are defined as follows :
u(x)= x^2+6
w(x)= \sqrt{x+9}
Find the following:
(u o w) (7) =
(w o u) 7) =
Answer:
(u o w) (7) = 22
(w o u) 7) = 8
Step-by-step explanation:
We are given:
[tex]u(x)= x^2+6\\w(x)= \sqrt{x+9}[/tex]
We need to find:
a) (u o w) (7)
First we will find (u o w) (x) and then we will find (u o w) (7)
We know that (u o w) (x) = u(w(x))
Put value of w(x) into u(x)
we have:
[tex]u(x)=x^2+6\\Put\: x =\sqrt{x+9}\\u(w(x))=(\sqrt{x+9})^2+6\\u(w(x))=x+9+6\\ u(w(x))=x+15[/tex]
Now finding (u o w) (7)
We know that: (u o w) (7) = u(w(7))
[tex]u(w(x))=x+15\\Put\:x=7\\u(w(7))=7+15\\u(w(7))=22[/tex]
So, (u o w) (7) = 22
b) (w o u) (7)
First we will find (w o u) (x) and then we will find (w o u) (7)
We know that (w o u) (x) = w(u(x))
Put value of u(x) into w(x)
we have:
[tex]w(x)= \sqrt{x+9}\\Put\:x=x^2+6\\w(u(x))= \sqrt{(x^2+6)+9}\\w(u(x))= \sqrt{x^2+6+9}\\w(u(x))= \sqrt{x^2+15}[/tex]
Now finding (w o u) (7)
We know that (w o u) (7) = w(u(7))
[tex]w(u(x))= \sqrt{x^2+15}\\Put\:x=7\\w(u(7))= \sqrt{(7)^2+15}\\w(u(7))= \sqrt{49+15}\\w(u(7))= \sqrt{64}\\w(u(7))= 8[/tex]
So, (w o u) (7) = 8
Pls help grades close today
Answer:
$7.60
Step-by-step explanation:
24% of $10 is $2.40
$10-$2.40=$7.60
Answer:
The answer is $7.60.
Step-by-step explanation:
The original price is 10 dollars. 24 percent of 10 dollars is $2.40. So, subtract that from 10 dollars to get the answer.
$10.00 - $2.40 = $7.60.
Hope this helps! Have a good day. :)
The number of plants needed to fill a row in a farmer's field varies inversely as the distance between the plants. If 72 plants are needed when the plants are 24 centimeters apart, how many plants will be needed if the plants are 32 centimeters apart?
Answer:
54.
Step-by-step explanation:
Cause plato.
- 3х +Зу = 12
у=х+ 4
How many solutions are there
Answer:
Step-by-step explanation:
As given system of linear equations,
- 3х +Зу = 12у=х+ 4Hence taking 1st equation ,
-3x+3y=12
-3(x-y)=12 ( common -3 )
x-y=-4now take 2nd equation ,
y=x+4
y-x=4Now add these two equations, we get
x-y+ y- x=-4+4
0x+0y=0
so it have infinite many solution because for any value L.H.S =R.H.SFind the coordinates of the midpoint for line segment JK if J(-9, 5) and K(21.-7)
Answer:
(6, -1)
Step-by-step explanation:
The coordinates of the midpoint of a line is [(x₁ + x₂)/2, (y₁ + y₂)/2]. For the given line, JK where J = (-9, 5) = (x₁, y₁) and K = (21,-7) = (x₂, y₂).
So [(x₁ + x₂)/2, (y₁ + y₂)/2]
= [(-9 + 21)/2, (5 + (-7))/2]
= [12/2, (5 - 7)/2]
= [12/2, -2/2]
= (6, -1)
help
Is it linear or exponential
Linear is a straight line. You might have heard of Linear Function.
[tex]y = mx + b[/tex]
The equation above is slope-intercept form.
ExponentialExponential is both increasing graph and decreasing graph depending on the coefficient.
Exponential Equation
[tex]y = {a}^{x} \: \: \: (a > 0) \: \: (a \neq1)[/tex]
Exponential Graph increases when a-term is greater or equal to 1.
Exponential Graph decreases when a-term is greater than 0 but less than 1.
From the equation, it is exponential of x-term as an exponent. The equation matches with exponential form.
AnswerExponentialMath whizzes assemble! this is a tough one, this is a question on my study guide its a screenshot, any help would be appreciated.
Answer:
14
Step-by-step explanation:
Knowing the first triangle is isosceles, and given the degree is 69.
We can find the top left angle as 180-69-69=42
42 combine with another angle to make a right angle
90-42=48.
The second triangle is also isosceles, so to find 2
we can use 180-42=138 (supplementary angles rule)
and given 10x-8=138
10x=140
x=14