=======================================================
Work Shown:
y = 4x+5 .... start with equation B
x+1 = 4x+5 .... replace y with x+1, due to equation A
The second step used the substitution property.
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Alternative Viewpoint:
The variable y is equal to both 4x+5 and x+1 at the same time; therefore, the two right hand sides must be the same.
It's like saying if y = x and y = 5, then x = 5.
Solve for x.
x + 2 over 4 = 8
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{x +2}{4}=8}[/tex]
[tex]\large\textsf{MULTIPLY 4 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{x +2}{4}\times4=8\times4}[/tex]
[tex]\large\textsf{CANCEL out: 4}\times\large\textsf{4.}[/tex]
[tex]\large\textsf{KEEP: 8}\times\large\textsf{4 because it helps you solve for x}[/tex]
[tex]\mathsf{8\times4=\bf 32}[/tex]
[tex]\large\text{New equation: \textsf{x + 32 = \bf 32}}[/tex]
[tex]\large\textsf{x + 2 = 32}[/tex]
[tex]\large\textsf{SUBTRACT 2 to BOTH SIDES}[/tex]
[tex]\mathsf{x +2-2=32-2}[/tex]
[tex]\large\textsf{CANCEL out: 2}-\large\textsf{2 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 32}-\large\textsf{2 because that helps you solve for x}[/tex]
[tex]\large\textsf{New EQUATION: \mathsf{x = 32 - 2}}[/tex]
[tex]\mathsf{x = 32 - 2}[/tex]
[tex]\large\textsf{Simplify above and you have your result to this equation}[/tex]
[tex]\mathsf{32-2=\bf 30}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x =30}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Rewrite the function f(x)=-4(x-1)^2+3 in the form f(x)=ax^2+bx+c.
Answer:
-4x²+8x-1Step-by-step explanation:
if h(x)= 10x, then for what value of x does h(x)= 1,000,000
Answer:
10,000
mn100000.10000
Which of these is the smallest number?
Answer:
E. 1/2
Step-by-step explanation:
1/2 as a decimal is .5
The reason it is not B is because 1/3 as a decimal is a repeating decimal.
17. Before rock climbing, Michelle wants to know how
high she will climb. She places a mirror on the
ground and walks backward until she can see the
top of the cliff in the mirror. She drew a sketch of
the situation. What is the height of the cliff?
Top of cliff
х
mirror
Michelle
5.5 ft
4 ft
16 ft
A. 16.5
B. 17.5
C. 20
D. 22
Answer:
22ft
Step-by-step explanation:
Find the diagram attached
Since the triangles are mirror images of each other, this shows that they are similar triangles
Taking the ratio of the sides of the triangle and equating it to a constant, we will have;
5.5/4 = x/16
Cross multiply
4 * x =5.5 * 16
4x = 88
x = 88/4
x = 22ft
Hence the required value of x is 22ft
PLEASE HELP!Write the standard form of equation with p=sqrt3, 0=150°
Answer:
I heard it's not b
Step-by-step explanation:
was A the correct answer?
HELP PLEASE!!
To show that 4 points are the vertices of a square, which of the following must be shown?
Answer:
each side is 90 degrees
Step-by-step explanation:
make the brainliest?
Jose has a bag of 12 marbles. There are 6 blue, 2 red, 3 yellow, and 1 green marble in the bag.
What is the probability the marble will not be green? Write your answer as a simplified fraction.
Answer:
11/12
Step-by-step explanation:
There are 11 marbles that are not green and there is a total of 12 marbles.
How do I answer this?
Answer:
volume = 153.45 ft³
Step-by-step explanation:
area of base = 1/2 x base x height = 1/2 x 9 x 3.1 = 13.95 ft²
volume = base area x height= (13.95)(11) = 153.45 ft³
In our very first module, we looked at numeration systems and the different bases that various cultures used. The Babylonian system was base 60; the Mayan system was base 20 (almost); and our Hindu-Arabic system is base 10. You read in the Grace Hopper biography that computers use a base 2 system. In base 2, only two symbols are used, so all numbers are represented with 0s and 1s.
A. Change the number 100 (base ten) to a numeral in base two.
B. Change the number 1010101 (base two) to a numeral in base ten.
C. This is a fun problem! The moon is approximately 238,900miles from Earth.
Admiral Hopper explained to David Letterman that a nano-second is one-billionth of a second. The maximum distance that electricity (or light) can travel in one nano-second is approximately one foot. How many seconds will it take to send an electronic signal from Earth to the Moon? If the signal bounces right back, how long will it take for the signal to go to the moon and come back to Earth? In this episode, Leonard and the other guys send laser signal to the moon and back. Leonard will tell you how long it took for the signal to go to the moon and back.
Answer:
1100100 base 2
85 base 10
2.522784 seconds
Step-by-step explanation:
Convert 100 from base 10 to the base 2
Reduce 100 by 2 until 0 ; the reminder obtained is written from bottom to top.
2 | 100
2 | 50 r 0
2 | 25 r 0
2 | 12 r 1
2 | 6 r 0
2 | 3 r 0
2 | 1 r 1
__0 r 1
Arranging from the bottom : 1100100 base 2
100 base 10 = 1100100 base 2
1010101 base 2 to base 10
1*2^6 + 0*2^5 + 1*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0
64 + 0 + 16 + 0 + 4 + 0 + 1 = 85 base 10
C)
1 mile = 5280 feets
Distance from earth to moon = 238900 miles
Distance in feets :
(5280 * 238900) = 1261392000 feets
Total distance from moon and back to earth = 2 * 1261392000 = 2522784000 feets
Using the relation :
Speed = distance / time
Speed = 1 feet per nano second
Distance = 2522784000 feets
1 = 2522784000 / time
Time = 2522784000 nano seconds
Converting to second :
2522784000 / 1000000000
= 2.522784 seconds
Here are some clues about my age. • Both my father’s age and mine are 2-digit numbers. • If you reverse the order of the digits of my father’s age, you get my age. • My father is 27 years older than I am. How old am I? Show your work and justify your thinking.
For the given condition the age of the son will be 69 years.
What is the equation?A mathematical equation asserts the equality of two expressions, which may or may not contain variables or integers. Equations are fundamental concerns, and efforts to rationally address them have served as the primary driving forces behind the creation of mathematics.
Suppose the two-digit number is x,
The father's and son's ages are 10x+y and 10y+x respectively.According to the given condition,
(10x+y) -(10y+x)=27
9x-9y=27
x-y=27/9
x-y=3
The value of x and y will be 4 and 1.
At x=9 and y=6, the age of the son is obtained as,
=10×6+9
=69 years
Thus, the age of the son will be 69 years.
Learn more about the equation here,
https://brainly.com/question/10413253
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A circle has a radius of 3. An arc in this circle has a central angle of 60°.
What is the length of the arc?
Either enter an exact answer in terms of 7 or use 3.14 for 7 and enter your answer as a decimal.
Answer:
π
Step-by-step explanation:
s = (∅/360) * (2πr)
s = (60/360) * (2π*3)
s = (1/6) * (6π)
s = π
Can someone solve this pls???
Answer:
i think is( C.) distance and speed
hoped i helped
Which expression is equivalent to 4 (3n - 5)?
On - 20
7-9
12n - 5
12n - 20
Done -
PLS I NEED HELP FAST
Find the surface area of the cone.
Answer:
373.8
Step-by-step explanation:
Manesh is putting new tile on a kitchen counter. Each sheet of tile will cover 1.5 ft squared. How many sheets of tile will Manesh need to cover the whole counter?
Answer:
I will try my best to help
Step-by-step explanation:
Jose earns 954 per hour at his job he worked 18 hours last week calculate Jose's pay before taxes
Answer:
$171.72
Step-by-step explanation:
$9.54 x 18
A snack mix contains almonds, chocolate chips, raisins, and pretzels. One-fourth of the mix is almonds, 5% of the mix is chocolate 3 chips, and of the mix is raisins. 10 What percent of the mix is pretzels? Hide All A) 60% B) 40% 30% 25%
Answer:25%
Step-by-step explanation: I took the quiz
What goes where
+ - x and divide simble
4_(3_2)_6_1=14
Answer:
(left to right) multiply; add; subtract; divide
Step-by-step explanation:
4*(3+2)-6/1
4*(5)-6/1
20-6/1
20-6
14
Find the length for c.
c=_in
Answer:
side length c = 9.53409 inches (round that to whatever you need to round to)
Step-by-step explanation:
sin(39)=6/c
c*sin(39)=6
c=6/sin(39)
If the trend shown in the graph continues, how many tickets will be sold after 10 hours? *
Captionless Image
A) 10 tickets
B) 15 tickets
C) 25 tickets
D) 50 tickets
The function f(x)=12sin(x−π4) is used to describe a water wave. The value x is the time in seconds, and f(x) is the position of the wave in feet above or below the normal water level.
On which of these intervals does f−1(x) exist?
A
[0,π]
B
[3π4,7π4]
C
[π4,5π4]
D
[0,2π]
Option C, [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex] is the correct answer such that the function, [tex]f(x)=12sin(x-4\pi)[/tex] where, [tex]x[/tex] is the time in [tex]seconds[/tex] and [tex]f(x)[/tex] is the position of the water wave in [tex]ft[/tex] above and below the normal water level.
inverse of the functionThe inverse of the function is the mirror image of the function with respect to the dependent variable.
How to determine the inverse of the function?From the figure, the interval of water wave above the normal water level is [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex].
So, the interval of the mirror image of the function with respect to the dependent variable [tex]x[/tex] is [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex].
As a result, Option C is the correct answer.
Learn more about the inverse of the function here- https://brainly.com/question/2541698
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helppppppp meeeeeeeee fastttttttttttt plssssssssss
Hello! The Answer is A and B
Hope this helps, Have a wonderful day!
Tysm for brainly!
Which one is it 2 or 4?
Answer:
option 2
Step-by-step explanation:
1: 2(4) = 8 not 6
2: 4 + 3 = 7
3: 9 - 4 = 5 not 13
4: 4/12 = 1/3 not 3
What is the spread of the data in the dot plot?
Number of Apples in Each Bag
10
11
12
13
14
15
from 0 to 5
Ofrom 10 to 15
ОООО
O from 12 to 15
O from 0 to 6
Answer:
from 10 to 15
Step-by-step explanation:
because when your finding the spread you take the highest and lowest number.
helllppp plzzzzzzzzzzz
Answer:
A: 5
B: 32
C: 3
D; 14
C: 0.333
Step-by-step explanation:
Answer:
A) 48 is the answer 8-48=40
B) 32 is the answer 8+32=40
C) 3 is the answer 21 Divide 3=7
D) 14 is the answer 21-14=7
Step-by-step explanation: Hope this help :D
The length of a vegetable garden is 5 times its width. If its width is 3/4 meter, what is the area?
Find the length of side x in simplest radical form with a rational denominator.
х
30°
90
60
9
2x 3 +5x 2 +x−5 is divided by x+1x+1
Answer:1
Step-by-step explanation:
I need this please help me
Answer:
A. Right 6, Down 5
Step-by-step explanation:
I don't know how to explain this
