Answer:
1. x= -2 2. x= -5 3. x= -11/10
Step-by-step explanation:
1. 5x-3x -4+4=3x-3x+8+4 2x/2=-4/2 x=-2
2. -4x+7x +7-7=-7x+7x-8-7 3x/3=-15/3 x=-5
3. 6x+4x+7-7=-4x+4x-4-7 10x/10=-11/10 x=-11/10
Ojos del Salado is the highest mountain in Chile, with a peak at about 6900 meters above sea level. The Atacama Trench, just off the coast of Peru and Chile, is about 8100 meters below sea level (at its lowest point).
a. What is the difference in elevations between Mount Ojos del Salado and the Atacama Trench?
b. Is the elevation halfway between the peak of Mount Ojos del Salado and the Atacama Trench above sea level or below sea level?
Explain without calculating the exact value. c. What elevation is halfway between the peak of Mount Ojos del Salado and the Atacama Trench?
A) add the two elevations together:
6900 + 8100 = 15,000 meters.
B) Divide the total distance by 2:
15,000 / 2 = 7,500 meters.
Because the distance to the halfway point is larger than the elevation of Ojos del Salado, the elevation would be below seal level.
C Add the halfway point from part B to the lowest elevation:
-8100 + 7500 = -600 meters
f(x) = x2+9
g(x) = X-9
Find f(x)*g(x).
Answer:
f(x)g(x) = x³ - 9x² + 9x - 81
General Formulas and Concepts:
Distributions - Expanding with FOIL (First, Outside, Inside, Last)
Step-by-step explanation:
Step 1: Define
f(x) = x² + 9
g(x) = x - 9
Find f(x) · g(x)
Step 2: Find
Set up expression: f(x)g(x) = (x² + 9)(x - 9)Expand (FOIL): f(x)g(x) = x³ - 9x² + 9x - 81A reflection of shape I across the y-axis, followed by a (90 counterclockwise rotation 90 clockwise rotation 180 rotation) and then a translation left 6 units and down 4 units confirms congruence between shape I and shape II. Alternatively, a (90 counterclockwise rotation 90 clockwise rotation 180 rotation)
of shape II about the origin, followed by a reflection across the y-axis, and then a translation right 4 units and up 6 units confirms congruence between shape II and shape I.
Answer:
1 90 clockwise rotation 2 90 counterclockwise rotation
Step-by-step explanation:
Transformation is a method required to resize or change the orientation of a given shape or figure. The required answer is:
i. Statements b and d would map Shape l onto Shape II
ii. Statements a, c, e, and f does not map Shape l onto Shape II
What is transformation?Transformation is a method required to resize or change the orientation of a given shape or figure. The types of transformation are translation, reflection, rotation, and dilation. The translation is a method that requires moving every point in a given shape in the same direction and same unit.
Reflection is a method that involves flipping a given figure about a given reference point or line. Rotation is a method that required turning a given figure at an angle about a reference point. Dilation is a method in which the length of the sides of the figure is either increased or decreased. Thus the answers to the question are listed as follows:
a. a reflection across the y-axis, followed by a 90° clockwise rotation about the origin, and then a translation left 6 units. Does not Map Shape l onto Shape II
b. a 90° clockwise rotation about the origin and then a translation left 6 units Answer: Maps Shape l onto Shape II
c. a 90° counterclockwise rotation about the origin, followed by a reflection across the y-axis, and then a translation left 6 units.
d. Does not Map Shape l onto Shape IId. a 90° clockwise rotation about the origin, followed by a reflection across the y-axis, and then a translation right 4 units Answer: Maps Shape l onto Shape II
e. a 180° rotation about the origin, followed by a reflection across the y-axis, and then a 90° clockwise rotation about the answer of the origin: Does not Map Shape l onto Shape II
f. a reflection across the y-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation right 4 units. Does not Map Shape l onto Shape II.
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Which city is closest to sea level?
Answer:
City A
Step-by-step explanation:
I mean B C and D are all about 0.5 or -0.5 while B is 1 3/4
So...
A is the closest because its legit 0.25 meters away while others are 0.5 meters away.
And 0.5-0.25 shows that 0.25 is less than 0.5.
How many solutions does the equation 4x + 2(x - 5) = 3(2x - 4) have?
А.
no solution
B. exactly one solution
C. at least two solutions
D. infinitely many solutions
Answer:
C
Step-by-step explanation:
remove () and calculate the product
8x*(x-5)=3(2x-4)
distribute 8x through the ()
8x^2-40x=6x-12
move the expression to the left-hand side and change its sign
8x^2-40x-6x+12=0
collect like terms
8x^2-46x+12=0
determine the number of solutions using the discriminant D=b^2-4 a c
D=(-46)^2-4*8*12
simply the expression
D=1732
Since D>0, the quadratic equations has 2 real solutions
Chantel counted 48 books on 6 shelves in the library, How many books would she expect to count on 12 shelves.
Answer: 96 books.
Step-by-step explanation:
48x2
Between what two integers is the square root of 56.25?
Answer:
7 and 8
Step-by-step explanation:
Calculate the square root and you get 7.5 The number 7.5 is in-between the numbers 7 and 8. Hope this helps
Find the value of x in each of the following
a) 5x/2+ 1 = 11
b) 2x/7 – 3 = 2
Answer:
A) x=4
B) x=35/2
Step-by-step explanation:
calculate the product
A) 5x/2+1=11
multiply both sides of the equation by 2
5x+2=22
move the constant to the right hand side and change its sign
5x+22-2
now subtract the numbers
5x=20
now didvide both sides
5x=20
x=4
B)
calculate the product
2x/7-3=2
multiply both sides of the equation by 7
2x-21=14
move the constant to the right hand side and change its sign
2x=14+21
add the numbers
2x=35
now divide both sides of the equation by 2
x=35/2
the difference of 19 and the sum of 7 and k
Answer:
19 - (7 + k)
Step-by-step explanation:
Sum of 7 and k: (7 + k)Difference of 19 and (7 + k): 19 - (7 + k)I hope this helps!
answer choices:
(16,8)
(2,8)
(-6,8)
(-8,8)
AGIAN HELP!!!!Identify the point on the vertical axis (y-axis) and state the real-world meaning of that point.
Answer:
The point on the vertical axis (y-axis) represents the y-intercept.
It represents the height over the sea level at the starting point of hiking
Step-by-step explanation:
From the graph
The y-axis represents the height above the sea level in feetThe x-axis represents the hours hiking→ The point on the vertical axis (y-axis) represents
The initial height above the sea levelThis point is the starting point of hikingIt called the y-intercept (0, 2000)→ Which means it represents their height at 0 hour
→ The real-world meaning of that point is:
They are 2000 feet above the sea level when they decided to start hikingThe point on the vertical axis (y-axis) represents the y-intercept.
It represents the height over the sea level at the starting point of hiking
Help me please picture is attached
1/4+1/2=15/60+30/60=?
Answer:
[tex]\frac{3}{4} =\frac{3}{4}[/tex] Which means its true
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Answer: True
Step-by-step explanation:
PLEASE HELP!!! find the remainder when x^4-2x^3+x^2-5x+3 is divided by x+1
a. -2
b. 8
c. 3
d. 12
Answer:
12
Step-by-step explanation:
Select the three expressions that are equivalent to 13+13+13+13+13+13+13.
Answer:
13 to the seventh power is one
Step-by-step explanation:
13⁷
13*7
13+13+13+13+13+26
A and B are supplementary angles. If m A=(x-18)° and mB =(x-20),
find the measure of B
Answer:
89 degrees
Step-by-step explanation:
supplementary angles add up to 180 degrees, so we can add up A and B and make it equal to 180.
(x-18)+(x-20)=180
2x-38=180
2x=218
x=109
then, we plug in 109 for x in the mB equation.
mB=x-20
mB=109-20
mB=89 degrees
therefore, the measure of B is 89 degrees.
Answer:
B = 89
Step-by-step explanation:
Supplementary angles: A + B = 180
Simplify: x-18 +x -20 = 180
2x-38 = 180
2x = 218
x= 109
B = x-20
B = 89
What is the slope of this graph?
7/8
-7/8
-8/7
7/8
Answer: -7/8
Step-by-step explanation:
counting down would be a negative (-7)
counting right would be positive (8)
-2(9 – 9) + 5 = 5
Send help please!
Answer:q=9
Step-by-step explanation:
-2(q - 9)+ 5=5
-5 -5
-2q + 18 = 0
-2q = -18
/-2 /-2
q = 9
what is the difference between 4x and x4? evaluate both of these expressions when x = 2
Answer:
There is no difference. 4x and x4 are both meaning 4 times x and x times 4
Step-by-step explanation:
If x = 2, then 4 x 2 = 8.
x4 is the same thing
2 x 4 = 8
Note:
When the numbers are there together, without an operation, it means multiplication.
The value of the expression 4x is 8.
The value of the expression [tex]x^4[/tex] is 16.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4x and [tex]x^4[/tex]
For x = 2,
4x = 4 x 2 = 8
[tex]x^4[/tex] = [tex]2^4[/tex] = 2 x 2 x 2 x 2 = 16
Thus,
The values of the expression are 8 and 16.
Learn more about expressions here:
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A special 20-sided die is constructed so that each face has one of the following numbers on it: 1, 2, 3, or 4. The table below gives the probability of each value (with one value missing).
Answer: .6
Step-by-step explanation:
when you add up all of the probabilities you want them to equal 1, first you need to find the missing probability (.2) then add the probability of 1 and 3 the odd numbers to get .6
what is 4.5x 4.5 im in 6th grade
Answer:20
Step-by-step explanation:
the sequence -9,-15,-21,-27 is a Arithmetic sequence or
Geometric sequence
The sequence 48,24,12,6 is a
Arithmetic sequence or
Geometric sequence
Answer:
1st:Arthmetic Sequence ,2nd:Geometric Sequence
Step-by-step explanation:
-9,-15,-21,-27
+6
48,24,12,6
half of 2 or divided by 2
Which of the following expressions simplifies to −abcd, where a, b, c and d are real numbers?
A. (−a)∙b∙(−c)∙d
B. (−a)∙b∙(−c)∙(−d)
C. a∙(−b)∙(−c)∙d
D. (−a)∙(−b)∙(−c)∙(−d)
Answer:
Step-by-step explanation:
J
Answer:
D
Step-by-step explanation:
just took this test
PLEASE ANSWER THIS ASAP !!!
Three choices tell you how to locate the point (3, -7.75). Which one does NOT? ECUFATE Starting at the origin, move 3 units to the right and 7.75 units down Starting at the origin, move 7.75 units down and 3 units to the right 20 Starting at the origin, move units up and 7.75 units to the left * Putra finger on 3 on the z-axis and a ſinger just before =8 on the y-axis. Move the first finger down and the second finger to the right until they meet.
Answer:
C . Starting at the origin, move 3 units up and 7.75 units to the left.
Step-by-step explanation:
The sides of a square are 3 cm long. One vertex of the
square is at (2.0) on a square coordinate grid marked in
centimeter units. Which of the following points could
also be a vertex of the square?
F. (-4, 0)
G. (0.1)
H. 1.-1)
J. (4. 1)
K. (5.0)
|k+8|=-10 must show work
Answer:
The answer is no solution.
Step-by-step explanation:
Find the line that is parallel to y=3x-5 and goes through the point (5,1)
Answer:
y=3x-14
Step-by-step explanation:
if its parallel
they it must be y=3x+b
and plug in x and y
you get the answer
Hope this help ya
<3
Red
Answer:
y = 3x - 14
Step-by-step explanation:
y = mx + b
1 = 3(5) + b
1 = 15 + b
b = -14
y = 3x - 14
Order the numbers from least to greatest.
2.1,−610,−94,−0.75, 53
On January 3rd, the Earth is 147,500,000 kilometers away from the Sun. On July 4th, the Earth is 152,500,000 kilometers away from the Sun. The Sun has a radius of about 865,000 kilometers.
Could the Earth's orbit be a circle with some point in the Sun as its center? Explain your reasoning.
Answer:
No
Step-by-step explanation:
It could not because in order for it to be a circle the number of kilometers would have to be constant, however in earth's orbit it is not constant, therefore it is an oval, not a circle.