Answer:
D.Every problem needs an equation in order to be able to solve it
which system or equation is represented in the graph?
(A) y=-2
x-2y=6
(B) y=-2
x+2y=6
(C) y=-2
2×-y=3
(D) y=-2
2×+y=-3
Answer:
[tex] (A)\displaystyle \begin{array} {ccc} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{array} [/tex]
Step-by-step explanation:
Equation of the blue line:since the line is horizontal and passes -2 the equation of the blue line should be
[tex] \displaystyle \large y = - 2[/tex]
Equation of the red line:remember The form of equation of a line
[tex] \displaystyle \boxed{ \displaystyle y = mx + b}[/tex]
where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3
to figure out m we can consider the following formula:
[tex] \displaystyle m = \frac{ \Delta y}{ \Delta x} [/tex]
from the graph we acquire ∆y=1 and ∆x=2
thus substitute:
[tex] \displaystyle m = \frac{ 1}{ 2} [/tex]
so we have figured out m and b
therefore our equation of blue line is
[tex] \displaystyle y = \frac{1}{2} x - 3[/tex]
our given options are in standard form so
move -3 to left hand side and change its sign:
[tex] \displaystyle y + 3= \frac{1}{2} x [/tex]
cross multiplication:
[tex] \displaystyle 2y + 6= x[/tex]
move 6 to right hand side and x to left hand side and change its sign
[tex] \displaystyle - x + 2y = - 6[/tex]
multiply both sides by -1:
[tex] \displaystyle x - 2y = 6[/tex]
hence, our system of linear equation is
[tex] \displaystyle \begin{cases} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{cases}[/tex]
Use the following graph of the function f(x) = 3x^4 − x^3 + 3x^2 + x − 3 to answer this question: What is the average rate of change from x = −1 to x = 0?
A. −6
B. −3
C. 3
D. 6
9514 1404 393
Answer:
A. -6
Step-by-step explanation:
The average rate of change on that interval is given by ...
m = (f(0) -f(-1))/(0 -(-1)) = f(0) -f(-1)
m = -3 -(3) = -6
The average rate of change on the interval is -6.
Answer:
A. -6Step-by-step explanation:
#CarryOnLearningPlease help me please
Answer:
F
Step-by-step explanation:
Both sides of an equation can be multiplied by the same number without changing the solution of the equation.
Answer:
Just as you can add or subtract the same exact quantity on both sides of an equation, you can also multiply both sides of an equation by the same quantity to write an equivalent equation. Let's look at a numeric equation, to start.
Step-by-step explanation:
The average height of Sally, Jackson, Tina and David is 150 cm per
person. The average height of Sally, Jackson and Tina is 145 cm per
person. Tina is 5 cm taller than David. Jackson is 4/5 as tall as
David. How tall is Sally? (in centimeters)
Answer:
129 cm
Step-by-step explanation:
The total height of all the people: 150 × 4 = 600 cm
The total height of Sally, Jackson and Tina: 145 × 3 = 435 cm
David’s height: 600 – 435 = 165 cm
Tina’s height: 165 + 5 = 170 cm
Jackson’s height: 170 × 4/5 = 136 cm
Therefore, Sally’s height: 600 – 165 – 170 – 136 = 129 cm
Thenks and mark me brainliest :))
The height of Sally will be 133 centimeters and the height of Jackson is 132cm.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The average height of Sally, Jackson, Tina, and David is 150 cm per person. Then the equation is given as,
(S + J + T + D) / 4 = 150
S + J + T + D = 600 ...1
The average height of Sally, Jackson, and Tina is 145 cm per person. Then the equation will be
(S + J + T) / 3 = 145
S + J + T = 435 ...2
Tina is 5 cm taller than David. Then the equation will be
T = D + 5 ...3
Jackson is 4/5 as tall as David. Then the equation will be
J = (4/5)D ...4
From equations, 1 and 2, then we have
435 + D = 600
D = 165 cm
From equation 4, then we have
J = (4/5) x 165
J = 132 cm
From equation 3, then we have
T = 165 + 5
T = 170 cm
From equation 2, then we have
S + 132 + 170 = 435
S = 133 cm
The height of Sally will be 133 centimeters.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
The combination for a lock uses three of the digits 1, 2, 3, and 4. How many three-digit combinations can the lock have? Explain your answer.
Answer:
24
Step-by-step explanation:
First you start by writing down all the combinations that start with each number. Then you just write the left over numbers and you'll end up with 24 because the is six of each starting number. Ex: 123, 132, 134, 143, 124, 142...
A jewelry store is featuring a diamond in the shape of a square pyramid. The side length of
the diamond is 8 millimeters and the slant height is 6 millimeters.
Answer:
128√5/3 mm³
Step-by-step explanation:
Since we are not told what to find, we can as well look for the volume of the pyramid
Volume of a square pyramid: V = (1/3)a²h
a is the side length of the square
h is the height of the pyramid
Given
a = 8mm
l² = (a/2)² + h²
l² = (a/2)² + h²
6² = (8/2)² + h²
h² = 6² - 4²
h² = 36 - 16
h² = 20
h = √20
Volume of a square pyramid = (1/3)*8²*√20
Volume of a square pyramid = 1/3 * 64 * 2√5
Volume of a square pyramid = 128√5/3 mm³
Please can someone help will give brainliest. No links or will get banned?
Answer:
F
Step-by-step explanation:
9/15- ratio of two legs of the smaller triangle
13.5/x- ratio of two legs of the larger triangle
9/15= 13.5/x
cross multiply
9x= 202.5
x=22.5
Help please I’ll give extra poubts
Answer:
the answer is B
Step-by-step explanation:
subtract 33 from 90
Evaluate the expression for r=6
19+r=
Answer:
25
Step-by-step explanation:
r = 6
19 + r
= 19 + 6
= 25
25 is the answer.
Answer:
The answer is 25
Step-by-step explanation:
19 + r; r = 6
19 + r
19 + 6 = 25
Thus, The answer is 25
-TheUnknownScientist
simplify (4.2^n+1 _ 2^n+2 )/(2^n+1 _ 2^n).
4.2^n+12^n+2/2^n+12^n
Step-by-step explanation:
If x - 12y= -210 and x -6y=90, then x=
Answer: x = -30
Step-by-step explanation:
y = -20 by using process of elimination substitute y as -20 in either of the equations you get -30 for x
The solution to the system of equations is x = 390 and y = 50. The value of x is equal to 390.
To find the value of x, solve the system of equations using the method of substitution . Let's use the method of elimination:
Given equations:
x - 12y = -210 (1)
x - 6y = 90 (2)
To eliminate x, we can subtract equation 2 from equation 1:
(x - 12y) - (x - 6y) = (-210) - 90
Simplifying the equation:
x - 12y - x + 6y = -210 - 90
-6y = -300
Divide both sides of the equation by -6:
y = -300 / -6
y = 50
Now, substitute the value of y back into either equation:
x - 6(50) = 90
Simplify the equation:
x - 300 = 90
Add 300 to both sides of the equation:
x = 90 + 300
x = 390
Therefore, the solution to the system of equations is x = 390 and y = 50.
Learn more about Substitution method here:
https://brainly.com/question/22340165
#SPJ6
Janet can shovel snow from her driveway in 65 minutes. Jim can do the same job
in 35 minutes. How long would it take Janet and Jim to shovel the driveway if they
worked together?
Answer:
about 23 minutes
Step-by-step explanation:
(65x35)/(65+35)= 2,275/100= 22.75 minutes (or 23 if rounded)
Divide using common factors.
(x - 9) ÷ x^2 – 81
Answer: Hello Luv.......
Factor the numerator and denominator and cancel the common factors.
−(81−1x+9x2)
Step-by-step explanation:
Hope this helps. Mark me brainest please.
Anna ♥
Solve the compound inequality.
7x>-35 and -5x ≥ -50
A. -5< x≤10
B. -5≤x≤10
C. 5≤x≤10
D. 5>x≤10
need help
Answer:
A. -5< x≤10
Step-by-step explanation:
7x>-35 and -5x ≥ -50
7x>-35
x>-5
-5x ≥ -50
x≤ 10
so, the result is:
-5< x ≤10
What would be the 12th number in the following pattern: 1,1,2,3,5,8,13,21…?
Answer:
I believe its 34
Step-by-step explanation:
because for example the first 2 numbers are both 1 and 1 + 1 is 2 which is the 3rd number and 13 + 21 is 34 I really hope this helped
dressed like me walk talk and act like me just might be the next best thing but not quite me
Answer:
Okay..
Step-by-step explanation:
Your are cunfoosing, help meh understand what ur sayin
Probability!
A spinner has an equal chance of landing on either red, blue, green, or yellow. You spin five times. What is the probability that spinner lands on yellow exactly two times?
10
you 5×2=10
that how you get your answer
The figure below shows a right triangle with a square made from its hypotenuse. What is the area of the square?
Answer:
50cm^2
Step-by-step explanation:
side length is square root 50 so you multiply square root 50 by square root 50 which gives you 50
In Problems 59–62, find the length of each side of the triangle
determined by the three points P1, P, and Pz. State whether the
triangle is an isosceles triangle, a right triangle, neither of these, or
both. (An isosceles triangle is one in which at least two of the sides
are of equal length.)
59. P = (2,1); P2 = (-4,1); Pz = (-4,-3)
9514 1404 393
Answer:
right triangle
Step-by-step explanation:
Segment P1-P2 is horizontal of length 2-(-4) = 6. Segment P2-P3 is vertical of length 1-(-3) = 4. The horizontal and vertical sides are perpendicular to each other, so it is a right triangle. The sides are of different lengths, so it is a scalene triangle (not isosceles).
Samir bought 3 pounds of cement to repair the cracks in his sidewalk.
Each crack needs to be filled with 2 ounces of cement.
Answer:
The answer is 24 cracks will be filled
Step-by-step explanation:
hope it helps :3
16 ounces in a pound. convert pounds to ounces
calculate the amount of cement we have. That would be 3 x 16 = 48 ounces of cement.
The amount of cracks to be filled : 48 /2 = 24 cracks
look at the table below. what is the constant change? ( I put 2 and was marked wrong, and the answer can't be in a fraction form).
Answer:
1/2Step-by-step explanation:
Use two points:
(4, 2) and (8, 4)The slope is:
m = (4 - 2) / (8 - 4) = 2/4 = 1/2Constant change is the slope, which is 1/2
Answer:
by taking two points
(4,2). & (12,6)
now slope
m=[tex] \frac{6- 2}{12 - 4} = \frac{4}{8}=\frac{1}{2} [/tex]=0.5
i will give Brainiest if you are right
Answer:
i think the answer is C
Can I get numbers 1,2,3,4,5 please
Answer:
Step-by-step explanation:
5566.89
675.98
78.89
The graph shows the quadratic function f. Find f (-4)
Answers to 10 11 and 12 with explanations
Answer:
9. you did that right.
10.
A. x=4
B. (4,4)
C. (-∞,-∞)
11. you did not do it right and I will screenshot the answer.
Step-by-step explanation:
a graphing calculator helps a bunch with these types of problems. if you dont have one use demos an online graphing calculator.
9514 1404 393
Answer:
10. see attached
11. axis of symmetry: x=4; vertex: (4, 4); domain: all real numbers; range: y ≤ 4
12. x = -4, -2
Step-by-step explanation:
10. Your graph is substantially correct. (You might do yourself a favor by adding points ±1 either side of the vertex. This will help to make the graph more rounded near the bottom.) The red graph in the attachment is the graph of this function.
__
11. The vertex form of this equation is ...
f(x) = -(x² -8x) -12 = -(x² -8x +16) -12 +16
f(x) = -(x -4)² +4
This tells you the vertex is (4, 4). The axis of symmetry is the vertical line through the vertex, so is x=4. The domain of all polynomial functions is "all real numbers." This has a maximum at y=4, so the range is y ≤ 4.
__
12. The vertex form of this equation is ...
f(x) = (x +3)² -1
so the vertex is (-3, -1). Points at x = -3 ± 1 will be the x-intercepts, so the solutions to the equation f(x) = 0. The graph of it is the green graph in the attachment.
A company would like to advertise that their new fishing line has an average breaking strength greater than 15 kilograms. The lines breaking strength is known to vary in the population on average 2.8 kilograms. To test the breaking strength of their new product the company takes a random sample of 50 lines, the average strength measure is 16.1 kilograms. What type of procedure should they use to test whether there evidence that the average strength of the new fishing line is greater than 15 kilogram.
Answer:
A right-tailed test should be used to test whether there evidence that the average strength of the new fishing line is greater than 15 kilogram.
Step-by-step explanation:
Type of procedure:
We want to test if the breaking strength is greater than a value, which means that the type of procedure used to solve this question is a right-tailed test, which is when we find the probability of having a mean higher than the sample mean found.
Other types of procedures:
Not related to this question speficially, but to similar problems.
To test if a measure is less than another measure, the procedure used is a left-tailed test.
To test if a measure is different from another measure, the procedure used is a two-tailed test.
Question 6
In triangle ABC, what is the measure of angle C if A = 85°, a = 35, and c = 15?
Round the answer to the nearest hundredth.
Answer
36.45?
Step-by-step explanation:
I think you just divide 85 by 35 and multiply 15 with that answer. 85/35 = 2.43
15x2.43 = 36.45
Use the order of operations to find the value of the expression: 12 ÷ 3 + 4 x 5
40
42
24
18
The nth term of a number sequence is n2-3
(a) Find the 4th term of this sequence.
b) Show that 40 is not a number in this sequence.
Here's the solution,
nth term = n² - 3
So, 4th term :
=》(4)² - 3
=》16 - 3
=》13
4th term of the sequence is 13
now, let's assume that 40 is a number in the sequence, then
=》40 = n² - 3
=》40 + 3 = n²
[tex]n = \sqrt{43} [/tex]
but, the term of the sequence should be a natural number, so our assumption was wrong, hence 40, can't be a number of this sequence.