a system of equations is shown on the graph below. what is the solution to the system of equations?
Answer:
Step-by-step explanation:
solution is the point of intersection, (0,1)
Solution of the system of equations is, (0, 1)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A system of equations is shown on the graph.
Now, We have seen that;
Both the graph intersect at a point (0, 1), which is solution of the graph.
Hence, Solution of the system of equations is, (0, 1)
Thus, Solution of the system of equations is, (0, 1)
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Given the functions flx) = 3x2, g(x) = x2 - 4x + 5, and h(x) = -2x2 + 4x + 1, rank them from leasrto greatest based on their axis of symmetry.
9514 1404 393
Answer:
f(x), h(x), g(x)
Step-by-step explanation:
For a quadratic in standard form, ...
ax² +bx +c
the axis of symmetry is ...
x = -b/(2a)
For the various functions, the axes of symmetry are ...
f(x): x = 0/(2·3) = 0
g(x): x = -(-4)/(2·1) = 2
h(x): x = (-4)/(2(-2)) = 1
From least to greatest axis of symmetry the functions are ...
f(x), h(x), g(x)
How many ways are there to place 3 indistinguishable red chips, 3 indistinguishable blue chips, and 3 indistinguishable green chips in the squares of a 3 x 3 grid so that no two chips of the same color are directly adjacent to each other, either vertically or horizontally?
A. 12,
B. 18,
C. 24,
D. 30 ,
E. 36
Answer:
E. 36
Step-by-step explanation:
Let:
[tex]C_1 =[/tex] color 1
[tex]C_2 =[/tex] color 2
[tex]C_3 =[/tex] color 3
Case I
C₂ C₃ C₂
C₃ C₁ C₃
C₁ C₂ C₁
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case II
C₂ C₃ C₁
C₃ C₁ C₂
C₂ C₃ C₁
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case III
C₁ C₃ C₂
C₂ C₁ C₃
C₃ C₂ C₁
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case IV
C₂ C₃ C₁
C₃ C₁ C₂
C₁ C₂ C₃
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case V
C₁ C₂ C₁
C₃ C₁ C₃
C₂ C₃ C₂
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case VI
C₁ C₂ C₃
C₃ C₁ C₂
C₁ C₂ C₃
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Therefore, the total combinations = 6 + 6 + 6 + 6 + 6 + 6
= 36
complete the equation ×1/12=5/12+5/12+5/12
Answer:
x/12=15/12
x=15it is the answer
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
B is the answer
Step-by-step explanation:
not staright line so not linear. but it is a function
Answer:
Step-by-step explanation:
it is non-linear; function
Please help please please
Answer:
C. y = 2x + 8
Step-by-step explanation:
✔️First, find the slope of the line that goes through points (-2, 4) and (6, 20):
Slope (m) = ∆y/∆x = (20 - 4) / (6 - (-2))
Slope (m) = 16/8
m = 2
✔️Find the y-intercept (b):
To do this, substitute (x, y) = (6, 20) and m = 2 into y = mx + b
Thus:
20 = 2(6) + b
20 = 12 + b
20 - 12 = b
8 = b
b = 8
✔️Write the equation by substituting m = 2 and b = 8 into y = mx + b
Thus:
y = 2x + 8
I’ll give the brainliest What can we conclude about the triangles on the line shown below?
Answer:
I believe the answer is C.
Step-by-step explanation:
Answer:
B.Step-by-step explanation:
It would be B. since both triangles are right triangles. They also are on the same line. So neither of them are at a different angle.
Now to verify that this is correct, we need to eliminate some of the other answers.
Let's start with A.. Congruent means that they are the same shape and size and can be mirrored/backwards. These triangles are the same shape and mirrored but it IS NOT the same size. This means we can eliminate answer A..
Now answer C.. As originally stated, the triangles are similar because they are both right triangles, but they have the same slope since they are on the same line. The line is not changing so the slope will not change either.
And finally answer D.. Answer D. has been proven wrong from the answers B. and C., so we can eliminate it.
This means all the answers are eliminated but B.
Find the slope of the passing line through the points (5,-8) and (2,-3)
Answer:
-5/3
Step-by-step explanation:
-8--3=-5
5-2=3
Answer: y=5/-3x, slope = -5/3
Step-by-step explanation:
Aspen has 10 pairs of white socks and 1 pair of red socks. What is the chance that Aspen wears a pair of black socks?
Answer:
no chance
Step-by-step explanation:
he doesn't have any black socks
Answer:
Step-by-step explanation:
Of the ten socks,
10/11 chance of wearing white socks
1/11 chance of wearing red socks
0/11 chance of wearing any OTHER color
Black socks fall into the final row, which is the OTHER color, meaning there is no chance he can wear black socks.
PLz hurry!!!!!!!!!!!!!!!!
Answer:
14.13
Step-by-step explanation:
Area = pi * r * r
d/2 = 2... 6/2 = 3
Area = pi *3^2
3.14*9 = 28.26
The semicircle is exactly half so you divide by 2
28.26 / 2 = 14.13
Answer:
14.13
Step-by-step explanation:
Formula for area of a semicircle: 3.14*r*r/2
6/2 = 3
3*3=9
3.14*9 = 28.26
28.26/2 = 14.13
14.13
how many solutions does this equation have?
5(x-3) + 6 = 4x + 3
Answer:
x=12
Step-by-step explanation:
5x-9=4x+3
subtract 9 from both sides
5x=4x+12
subtract 4x from both sides
x=12
The scouts were constructing a scale model of their clubhouse. They were building the model out of toothpicks.
Below are some of the measurements they used.
One wall was made of 18 bricks and they used 3 toothpicks on the model.
A second wall they built used 6 toothpicks to represent 36 bricks on the actual clubhouse.
What was the scale factor (bricks : toothpicks) being used by the scouts?
A 6:1
B 8:1
12:1
D 16:1
Plsss help mee quickkk !!
Answer:
2.5 overtime hours
Step-by-step explanation:
90$+195$=285
390-285=105$
105/42=2.5 overtime hours
Answer:
h=2.5 hours
Step-by-step explanation:
take the 30x3=90 then 195-90= 105 finally, divide 105 and 42 to get 2.5 hours!
30x3
195-90
105/2.5
hope this helps!
ano Ang mga salitang pang-ugnay?
Answer:
Pang-ugnay- Ang Pang-ugnay ay mga salitang nagpapakita ng relasyon ng dalawang yunit sa pangungusap, maaaring salita, dalawang parirala o ng dalawang sugnay.
Mga Pang-ugnay (Connectives)
a. Pangatnig (conjunction) - mga salitang nag-uugnay ng dalawang salita, parirala o sugnay
b. Pang-angkop (ligature) - mga katagang nag-uugnay sa panuring at salitang tinuturingan
c. Pang-ukol ( preposition) - mga salitang nag-uugnay sa isang pangngalan sa iba pang salita
The population of a city has increased by 15% since it was last measured. If the current population is 64,400 what was the previous population
Answer:
73600
Step-by-step explanation:
Add
Drew bakes a casserole for 25 5/12 minutes. He decides it needs to bake longer. He bakes it for another 2 3/6 minutes. How long does the casserole bake altogether?
Answer:
add more detail then i can answer
Step-by-step explanation:
I need to know the area of this figure
Answer:
156 cm²
Step-by-step explanation:
Area of Triangle
= 1/2 * b * h
= 1 /2 * (17 - 9) * 12
= 6 * 8
= 48 cm²
Now
Area of parallelogram
= b * h
= 9 * 12
= 108 cm²
Total area
= (48 + 108) cm²
= 156 cm²
1. Escribe dos semejanzas dadas en la estructura de la
circunferencia y la elipse.
Un círculo es una forma curva cerrada que es plana. Es decir, existe en dos dimensiones o en un plano. En un círculo, todos los puntos del círculo están igualmente lejos del centro del círculo. Una elipse también es una forma curva cerrada que es plana.
~~Espero que esto ayude~~
The first four terms of a sequence are shown below:
8, 5, 2, -1
Which of the following functions best defines this sequence?
O f(1) = 8, f(n + 1) = f(n) + 3; forn
O f(1) = 8, f(n + 1) = f(n) - 5; for n 1
O f(1) = 8, f(n + 1) = f(n) + 5; for n 1
Of(1) = 8, f(n + 1) = f(n) -3; for n 1
Answer:
Step-by-step explanation:
Since each term is decreased by three [tex]f(n+1)=f(n)-3[/tex]
Find the circumference of a circle that has a diameter of 5 inches. Use 22/7 for pi.
15 in.
22/35 in.
15 3/7 in.
15 5/7 in.
Answer:
step 1. The circumference (c) of a circle is equal to the diameter of a circle x pi. c = d(pi) = 5pi
step 2. c = 5pi = 5(22/7) = 110/7 = 15 5/7.
10 Six years ago Jon was one-sixth the age of his mother
and in four years time his age doubled and increased
by 10 will match his mother's age. How old is Jon
now?
Answer:
Jon is 11 years old
Step-by-step explanation:
We write the following equations describing the sentences of the problem, using the letter M to represent Jon's mom's current age, and j to represent his current age.
First sentence: "Six years ago Jon was one-sixth the age of his mother."
translates into:
J - 6 = (M - 6) / 6
Second sentence: "in four years time his age doubled and increased
by 10 will match his mother's age."
2 * (J + 4) + 10 = M + 4 which removing parentheses gives: 2 J + 18 = M + 4
We solve for "M" in the first equation
6 (J - 6) = M - 6
6 J - 36 = M - 6
M = 6 J - 30
and now use this result to substitute for M in the second equation
2 J + 18 = (6 J - 30) + 4
and work on solving for J
2 J + 18 = 6 J - 30 + 4
18 + 26 = 6 J - 2 J
44 = 4 J
J = 44 / 4
J = 11
a license plate that has 3 numbers from 0 to 9 and 2 letters
Answer:
what's the question there
PLS HELP! I REALLY REALLY NEED HELP REALLY REALLY BAD!
Answer:
X=115°
Step-by-step explanation:
If you extend the line on the left up to the top, it forms a triangle. The three interior angles of that triangle are 50, 180-x, and 180-x.
50+180-x+180-x=180
410-2x=180
410-180=2x
230=2x
x=115°
Another way to look at it: Since two of the angles in the triangle are the same, they must total 130. (180-50=130)
130 ÷2 equals 65. If those angles are 65, x=180-65=115°
Which is greater, 0.28 or 0.205? Explain how you know.
Answer:
Step-by-step explanation:
0.28 is roughly the same as 0.280, which has 3 significant digits (same as 0.205 has 3 significant digits). It's easier when we compare numbers having the same number of decimal places.
Comparing 0.280 to 0.205, we see that the hundredths place of 0.280 (which is 8) is greater than the hundredths place of 0.205 (which is 0). Thus 0.28 is greateer than 0.205.
I'll give Brainliest
Answer:
i think 4 but im not 100% sure
Step-by-step explanation:
Answer:
8 i guess
Step-by-step explanation:
HELP PLEASE
ARM SPAM (INCHES) HEIGHT (INCHES)
58 60
49 47
51 55
19 25
37 39
44 45
47 49
36 35
41 40
46 50
58 61
65 68
1. Which variable did you plot on the x-axis and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
2. Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?
Step-by-step explanation:
we have to write all things by which which x-axis is viraivil with you and y axis is variable with you and spleen in our right one formula X is equals to X is equals to y y - behind honey bunny i y is equals to x minus b right and right that formula and write if you don't know and I will tell you another this video is it was thank you so much
a) Let P(t) be written as
P(t) = a cos[b(t - d)] + c
The minimum Pmin and the maximum Pmax of P(t) are given.
Pmin = 4
Pmax = 20
c = (Pmax + Pmin) / 2 = (20 + 4) / 2 = 12
|a| = (Pmax - Pmin) / 2 = (20 - 4) / 2 = 8
We now need to find the number of days t after January 1st at which P(t) is maximum by counting the days of the months from January to May and adding 21 days in June.
t = 31 + 28 + 31 + 30 + 31 + 21 = 172
We now use the period to find b (b > 0) as follows
period = 365 = 2π / b
hence b = 2π / 365
A cosine function without shift has a maximum at t = 0. P(t) has a maximum at t = 172. We can model P(t) by a cos(x) function shifted by 172 to the right as follows:
P(t) = 8 cos[(2π / 365)(t - 172)] + 12
check that P(t) is maximum at t = 172: P(172) = 8 cos[(2π / 365)(172 - 172)] + 12 = 8 cos[(0)] + 12 = 20
b) The graph of P(t) is shown below.
Answer:
perfect
Step-by-step explanation:
5.7 is increased to 7.8
What is the percentage of increase?
Answer:
7.8%
Step-by-step explanation:
Answer:
The percentage of increase is 37%
Step-by-step explanation:
The way to find the percentage of increase is to divide The difference between the two numbers by the number before the increase
7.8 - 5.7 = 2.1
The difference between 7.8 and 5.7 is 2.1
So now we divided 2.1 by the number before the increase, in this case, 5.7
2.1 ÷ 5.7 = 0.3684
0.3684 rounded to the nearest hundredth is 0.37
Thus the percentage of increase is 37%
Is a triangle with sides 5 feet, 10 feet, and 12 feet a right, acute or obtuse
triangle?
Answer:
acute angles
Step-by-step explanation:
non of the angles are of the same lenght
Assume a test for a disease has a probability 0.05 of incorrectly identifying an individual as infected (False Positive), and a probability 0.01 of incorrectly identifying an individual as uninfected (False Negative). Assume furthermore that the probability of an individual being infected is 0.000001 (1 in 1 million). If a person tests positive for this disease, what is the probability of actually having the disease
Answer:
0.00002 = 0.002% probability of actually having the disease
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test
Event B: Having the disease
Probability of having a positive test:
0.05 of 1 - 0.000001(false positive)
0.99 of 0.000001 positive. So
[tex]P(A) = 0.05*(1 - 0.000001) + 0.99*0.000001 = 0.05000094[/tex]
Probability of a positive test and having the disease:
0.99 of 0.000001. So
[tex]P(A \cap B) = 0.99*0.000001 = 9.9 \times 10^{-7}[/tex]
What is the probability of actually having the disease
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{9.9 \times 10^{-7}}{0.05000094} = 0.00002[/tex]
0.00002 = 0.002% probability of actually having the disease