Answer:
The Coordinates are (3, 1)
Step-by-step explanation:
Use the substitution method to solve the system of equations.
Let y = x - 2 be Equation 1
Let y = -2x + 7 be Equation 2
We know that the coordinates are (3, 1) because we graphed the slope intercept equations in part one. Its asking to use the substitution method to prove that the coordinates (3, 1) are viable or satisfies both Equation 1 and 2.
The substitution method is nothing but substituting x and y back into the equation to prove that the coordinates are viable.
For this I'll use equation 1 first,
y = x - 2
1 = 3 - 2
So yes, the coordinates (3, 1) satisfy Equation 1
Lets check equation 2 now,
y = -2x + 7
1 = -2*3 + 7
1 = -6 + 7
This is also another equation where the coordinates (3, 1) satisfy equation 2
So this means that the coordinates (3, 1) are viable for both equations
Hope this helps!
6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)
Answer:
f(x) = (-1/2)(x^2 + 8x - 15)
Step-by-step explanation:
This function has two roots: -3 and 5. Most likely it is a quadratic (all of which have two roots).
Then f(x) = a(x + 3)(x - 5)
The graph goes through (1. 8): Therefore, y = 8 when x = 1:
f(1) = a(1 + 3)(1 - 5) = 8, or
a(4)(-4) = 8, or
-16a = 8, which leads to a = -1/2.
Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or
f(x) = (-1/2)(x^2 + 8x - 15)
The function is a quadratic function given by f(x) = (-1/2)(x + 3)(x - 5) and f(x) = (-1/2)(x² + 8x - 15).
What is a Function?A function is a law that relates a dependent and an independent variable.
The function has x-intercepts at (-3,0) and (5,0),
The function has two roots: -3 and 5
So, the equation is a quadratic equation represented by
f(x) = a(x + 3)(x - 5)
The function goes through the point (1. 8)
y = 8 when x = 1
f(1) = a(1 + 3)(1 - 5) = 8
-16a = 8,
a = (-1/2)
f(x) = (-1/2)(x + 3)(x - 5)
f(x) = (-1/2)(x² + 8x - 15)
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a rectangular solid box measures 2.75 feet by 4.05 feet by 480 inches. in cubic yards, what is the volume of the box? express your answer as a decimal to the nearest tenth
Answer:
445.5 feet
Step-by-step explanation:
Our first step is to get them to like terms. The only different term is inches. 480 inches = 40 feet.
We find volume by multiplying length x width x height. So 2.75 x 4.05 x 40 = 445.5 feet.
A geometric pattern was created by multiplying the number of items in the previous term by 2 if the starting term for the pattern is shown below which of the following shows the resulting pattern
Is it
A
B
C
D
What is the answer?
Help me please this is due today
Answer:
Write the number 12489 in words
Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket
Given:
Total amount spend on movie = $75
Each friend bought a ticket and a small popcorn that cost $8.25.
To find:
The price of each ticket.
Solution:
Let x be the price of each ticket.
Total cost of ticket and popcorn of each friend [tex]=x+8.25[/tex]
Total cost of ticket and popcorn of three friend [tex]=3(x+8.25)[/tex]
It is given that, the total amount spend on movie is $75. So,
[tex]3(x+8.25)=75[/tex]
[tex]x+8.25=\dfrac{75}{3}[/tex]
[tex]x+8.25=25[/tex]
Subtract 8.25 from both sides.
[tex]x=25-8.25[/tex]
[tex]x=16.75[/tex]
Therefore, the cost of each movie ticket is $16.75.
Find x. Round to the nearest degree.
Answer: 56 degrees approximately
==========================================
Work Shown:
tan(angle) = opposite/adjacent
tan(x) = 15/10
tan(x) = 1.5
x = arctan(1.5)
x = 56.3099 approximately
x = 56 degrees
Note: arctan is the same as inverse tangent
What is the value of the following expression? 2w - 6, when w = 6
Answer:
The answer is 6.
Step-by-step explanation:
Since w = 6 you would input the 6 where the w value is. Your equation should look like this: 2(6)-6
First you multiple the 2 x 6 which equals 12. After you minus 12-6 which equals 6. Therefore your answer is 6.
3. Which of the following represent an exponential DECAY function? Select all that apply. Please hurry thank you
BRAINLIEST PLEASE HELP!
Write the standard equation for the circle center (-6 -8) that passes through (0 0)
Answer:
(x + 6)² + (y + 8)² = 100
Step-by-step explanation:
The standard equation for a circle is (x - a)² + (y - b)² = r²
If you find the r² of this circle, you will get 100, and there's just one equation with 100
Determine f’s end behavior
f(x)= -5x^6+8x^5-1/ x^2 -9
Answer:
f(x) → -∞ as x → -∞
f(x) → -∞ as x → +∞
Step-by-step explanation:
The given function is;
f(x) = -5x^(6) + 8x^(5) - 1/(x² - 9x)
Using long division to divide this as attached, we have;
f(x) = -5x⁴ - 37x³ - 333x² - 2997x - 26973 + (-242757x - 1)/(x² - 9x)
Thus, the leading coefficient here is -5 and the polynomial degree is 4.
Since the leading coefficient is negative and the degree of the polynomial is an even number, then we can say that the behavior of the polynomial is;
f(x) → -∞ as x → -∞
f(x) → -∞ as x → +∞
Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m, providing a floor area of 45 m2. what is the percentage
Answer:
The percentage change is 140%
Step-by-step explanation:
Given
[tex]L= 3W_1[/tex] ---- initial dimension
[tex]W_2 = 6m[/tex] --- new width
[tex]A_2 = 45m^2[/tex] --- new dimension
Required
The percentage increment
The length remains constant because only the width is extended.
The new area is:
[tex]Area =Length * Width[/tex]
[tex]A_2=L * W_2[/tex]
Make L the subject
[tex]L = \frac{A_2}{ W_2}[/tex]
Substitute values for A and W
[tex]L = \frac{45m^2}{6m}[/tex]
[tex]L = \frac{45m}{6}[/tex]
[tex]L = 7.5m[/tex] --- this is the length of the garden
Calculate the initial width:
[tex]L= 3W_1[/tex]
Make W1 the subject
[tex]W_1 = \frac{1}{3} * L[/tex]
[tex]W_1 = \frac{1}{3} * 7.5[/tex]
[tex]W_1 = 2.5[/tex]
So, the initial area is:
[tex]A_1 = L_1 * W_1[/tex]
[tex]A_1 = 2.5 * 7.5[/tex]
[tex]A_1 = 18.75[/tex]
The percentage change in area is:
[tex]\%A = \frac{A_2 - A_1}{A_1}[/tex]
[tex]\%A = \frac{45 - 18.75}{18.75}[/tex]
[tex]\%A = \frac{26.25}{18.75}[/tex]
[tex]\%A = 1.4[/tex]
Express as percentage
[tex]\%A = 1.4*100\%[/tex]
[tex]\%A = 140\%[/tex]
Find the slope of the line.
Ay
A(-2, 4N
4
Х
-4 --2 0
4
2
B(3,-2)
-4
Plz Help! Ill give brainiest to whoever answers!!!
1. 54
2. 63.5
3. 23
4. 1.80125
Answer: Just find the mean by using math
Step-by-step explanation:
what is
6
+0.2
————-
Answer:
Your correct answer will be 6.2
Step-by-step explanation:
First, we line up the decimal points, 0.2 plus 6.0, always add 0 to the number without the decimal.
Last, you just add them, and you will get 6.2
Mark me brainliest and have a good day!
can u helpppp me????
Answer:
XY=6
Step-by-step explanation:
13-7=6
Answer:
XY = 6
Step-by-step explanation:
We know that the whole line (XZ) is equal to 13, and we know that YZ + XY is equal to XZ.
XZ = XY + YZ
13 = XY + 7
6 = XY
Hope this helped :)
Find the inverse of y=5^x-9
(the -9 is not in the power)
Step-by-step explanation:
y = 5^x -9
5^x = y + 9
x = ^5 log (y+9)
f~'(x) = ^5 log (x+9)
In the figure, m is parallel to n and mZ4 = 122°. Find the measures of the other
angles.
n
m
t
65
m26=0°
m22-1°
mZ8 = 1
m25-1°
m23=0°
m27=°
m21=°
Enter your answer in each of the answer boxes.
Review progress
Question 6
of 20
Answer:
Step-by-step explanation:
m=3x +4xm
What point is 2/3 of the distance from point A(3, 1) to point B(3, 19)?
Answer:
(3,13)
Step-by-step explanation:
Since Point A(3,1) and point B(3,19) is 18 units away we find 2/3's of 18 then add that to point A. 2/3's of 18 is 12 so the point we are looking for is (3,13)
(3,13) is the point that is 2/3 of the distance from point A(3, 1) to point B(3, 19).
What is distance?Distance exists as a numerical measurement of how far apart objects or points exist. In physics or everyday usage, the distance may be direct to a physical length or an estimation established on other criteria. The distance from point A to point B exists sometimes represented as |AB|.
As the point A(3,1) and point B(3,19) is 18 units away,
2/3 X 18 then add that to point A
2/3 X 18 = 12 so the point we are looking for is (3,13)
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find the missing
missing length y
the Shape
below
Answer:
12
Step-by-step explanation:
13^2=5^2+y^2
y^2=5^2-13^3
y^2=25-169
y^2=144
y=square root of 144
y=12
Answer:
12)
Step-by-step explanation:
For this, I used the Pythagorean Theorem, because I assumed that this was a right triangle. First of all, I first know that 13 would be the longest side in length. 13 x 13 = 169cm. Then I do the same with 5. 5 x 5 = 25cm. Finally, I subtract 25 from 169 to get 144. I then find the square root which would be 12. For more info, use the following formula:
a^2 + b^2 = c^2
Hope this helps!
-kiniwih426
How far does a turtle travel in five minutes
Answer:
A turtle travels about 90 feet
Because if a turtle can travel 450 feet within 25 minutes, then dividing 25 by 450 is 18 feet per minute, but if you multiply 5 minute x 18 feet, you get 90 feet in all.
So, a turtle can travel 450 feet per 25 minutes,
18 feet per minute, and
90 feet per 5 minutes
Hope this helps and I hope it is right, I used my skill thinking to solve this. So, please let me know if it did help and you do get it.
Mike needs to replace the carpet in his living room. The carpet he likes costs $7.50 per square foot to purchase and install. His living room measures 263.5 square feet. How much will it cost to replace the carpet?
Answer:
$1,976.25
Step-by-step explanation:
Since one square foot cost $ 7.50 we simply multiply that by 263.5.
263.5 × 7.50= $1,976.25
86 + 16.95 - 3-0042
PLEASE HELP ME
Answer:
86 + 16.95 - 3 - 0042
86 + 16.95 = 102.95
102.95 - 3 - 0042 = 57.95
Help me please random strangers on the internet!
Answer:
66 ft
Step-by-step explanation:
model: real life
1 inch : 12 ft
We have 5.5 inches so we need to multiply each side by 5.5 inches
model: real life
1 *5.5 : 12 *5.5
5.5 in: 66 ft
Answer:
66 feet
Step-by-step explanation:
1 inch of a model represents 12 feet of a real shuttle
5.5 inches as height of a model will represent 12 × 5.5 feet as height of a shuttle
=66 feet
Thank you to whoever helps :)
(-5, -1)
Hope this helps! :)
Which side lengths form a right triangle?
Answer:
[tex]\text{A. }3, \sqrt{27}, 6,\\\text{B. }8, 15, 17,\\\text{C. }5, 5, \sqrt{50}[/tex]
Step-by-step explanation:
All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.
Verify:
[tex]3^2+\sqrt{27}^2=6^2\checkmark,\\8^2+15^2=17^2\checkmark,\\5^2+5^2=\sqrt{50}^2\checkmark[/tex]
Answer:
Option : A, B, C
Step-by-step explanation:
To make sure the lengths form sides of a triangle we use Pythagoras theorem:
Square of length of larger side = Sum of square of smaller sides.
[tex](A) 3, \sqrt{27}, 6: => 6^2 = 3^2 + (\sqrt{27})^2[/tex]
[tex]36 = 9 + 27\\36 = 36\\Satisfies \ Pythagoras \ Theorem[/tex]
[tex](B) 8, 15, 17 :=> 17^2 = 15^2 + 8^2[/tex]
[tex]289 = 225 + 64 \\289 = 289 \\Satisfies \ the \ condition[/tex]
[tex](C) 5, 5 , \sqrt{50} :=> (\sqrt{50})^2 = 5^2 +5^2\\[/tex]
[tex]50 = 25 + 25 \\50 = 50\\Satisfies \ the \ condition[/tex]
A city's water tower is built using a right circular cone and a right cylinder, as shown.
About how many cubic feet of water can this tower hold, when completely full? What is the volume and surface area of the cylinder made from this net?
A. 89,019 cubic feet
B. 953,775 cubic feet
C. 6358.5 cubic feet
D. 2,142,000 cubic feet
If you tip 20% on a
restaurant bill that costs
$54. How much would you
tip your waiter?
Answer:
$10.80
Step-by-step explanation:
54 × 20%
= 54 × 20/100
= 1080/100
=10.8
The amount you tip the waiter is $10.8.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Amount of bill in the restaurant = $54
Percentage of tip given = 20%
In order to calculate the exact amount of tip given, we have to multiply the percent with the whole.
Amount given as tip = 20% × 54
20% means 20 parts of a 100 or 20/100.
Amount given as tip = (20 / 100) × 54
= 0.2 × 54
= 10.8
Hence the amount that the waiter has been tipped is $10.8.
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simplify :
26-10/2x5+3
Answer:
16/13 is the answer.
26-10 is 16 and 2x5+3 is 13
Answer:
4
Step-by-step explanation:
26 - 25 + 3
The choices are a.2 b.4 C. 1/2 D. 1/4
Answer:
b
Step-by-step explanation:
I can't explain it but the answer is b
what is the answer to -2/3x + 9 = 4/3x - 3?
Answer:
x = 6
Step-by-step explanation:
[tex]\frac{-2}{3}x+9=\frac{4}{3} x-3[/tex]
-2x = -12
x = 6
Answer:
x = 6
Step-by-step explanation: