Answer:
(5/2 , 1)
Step-by-step explanation:
4X – 3y = 7
4x + y = 11
———————
Multiply a -1 to the bottom equation to get the 4x as a negative so it cancels out.
4x - 3y = 7
-4x - y = -11
——————
-4y = -4
Divide by -4
y = 1
Substitute the value of y into one of the equations and solve
4x - 3(1) = 7
4x -3 = 7
4x = 10
Divide by 4
X = 10/4
Simplify by dividing by 2
x = 5/2
Therefore the answer is (5/2, 1 )
Evaluate the limit to the right
- does not exist
- infinity
- C
- negative infinity
- none of these
Candace received a 14% raise as part of a promotion with her work. Before the promotion she was earning $22.50 an hour. What is her new hourly wage?
A)$3.15. B)$26.35. C)$41.85. D)$25.65
Answer:
D
Step-by-step explanation:
A bouncing tennis ball starts at a height of 6 feet off of the ground, this is 72 inches off of the ground. Each time it bounces it comes back up to 2/3 of the height. Which answer choice shows the correct explicit equation in inches?
Answer:
Step-by-step explanation:
[tex]h=72\left(\frac{2}{3}\right)^{(n-1)}[/tex]
What key features will all continuous exponential functions have?
Answer:
The graph passes through the point (0,1)The domain is all real numbers.The range is y>0.The graph is increasing.The graph is asymptotic to the x-axis as x approaches negative infinity.The graph increases without bound as x approaches positive infinity.The graph is continuous.6x - 8y = 12 and 5x + 8y = -1 Solve using elimination
Answer:
Step-by-step explanation:
6x-8y=12
5x+8y=-1
add them
11x=11
x=1
y=-3/4
Answer:
(1,-3/4)
Step-by-step explanation:
Luckily, y is already opposites, so it should be easier:
6x-8y=12
5x+8y=-1
Combine; This should end up with y eliminated -
11x = 11
x = 1
Now we can plug 1 in for x in one of the equations to find y. I'm going to use the second one.
5(1) +8y = -1
5+8y=-1
8y=-6
y=-6/8 (you can simplify)
The point at which the lines intersect is (1,-3/4)
Can someone help with these 2 questions? I will mark the person who helped me brainiest
Answer:
Surface Area of Triangular Prism=444 m
Surface Area of Square Pyramid= 146 cm
Step-by-step explanation:
Hope this helps.
Pls answer this is a khan academy question
Answer:
Oak tree - linearBirch tree - exponentialStep-by-step explanation:
The first table represents a linear function
For each 3 years, the rise of branches is ~12The second table represents an exponential function
For each years time, the branches increase ~4 timesc=3
c2 + 5
..............
Answer:
3x2+5=11
Step-by-step explanation:
(8x²-4x+1)+(-3x²+x+5)
Answer:
[tex]5x^{2} -3x+6[/tex]
Step-by-step explanation:
W varies directly as r cubed and inversely as s. If w=24 when r= 4 and s= 8, find out when w= 81 and s= 27
Answer:
a) Given that w=81 and k = 0.375 then r = 6
b) Given that s=27 and k = 224 then w=32
Step-by-step explanation:
Step(i):-
Given that W varies directly as r³
⇒ w∝r³
⇒ w = kr³
where 'k' is proportionally constant
given that w= 24 and r =4
⇒ 24 = k (4)³
⇒ k = [tex]\frac{24}{64}[/tex]
⇒ k = 0.375
Step(ii):-
Given that W varies indirectly as 's'
w ∝[tex]\frac{1}{s}[/tex]
W =k [tex]\frac{1}{s}[/tex]
where 'k' is proportionally constant
28 = k ([tex]\frac{1}{8}[/tex])
k = 28 × 8 = 224
Step(iii):-
a) Given that w=81 and k = 0.375
w = kr³
81 = 0.375 (r)³
r³ = 216
r = ∛216 =6
r =6
b)
Given that s=27 and k = 224
W =k [tex]\frac{1}{s}[/tex]
w = 224 ([tex]\frac{1}{27}[/tex])
w = 32
Find the circumference of the circle. Use 3.14 for . Round to the nearest hundredth,.12.5 in. The circumference of the circle is about inches.
69r + E is the answer
Which of these triangles is definitely not congruent to any of the others?
Answer:
3
Step-by-step explanation:
why is there no option fr 3???
Bonnie is n years old.
Clara is three times as old as Bonnie.
Danesh is seven years older than Bonnie.
The total of Bonnie's age, Clara's age and Danesh's age is T years.
Find a formula for T in terms of n.
Answer:
T = 5n + 7
Step-by-step explanation:
Bonnie : n
Clara : 3n
Danesh : 7 + n
T = n + 3n + 7 + n
T = 5n + 7
Katy's number is 6 more than Pete's number. The sum of their number is 198. Find the number.
Answer:
Kathy=105
Pete=93
si un angulo mide t6 cual es su medida en grados
Step-by-step explanation:
No sé la respuesta exactamente, pero cuando la traduje decía T6, ¿qué es eso?
Jimmy and Kima are going on a trip. They will drive for three days. The first day they will drive 182 miles. The second day they will drive 439 miles. The third day they will drive 217 miles.
Which expression is the closest estimate of how many miles Jimmy and Kima will drive on their trip?
options.
150 + 400 + 200
200 + 400 + 200
200 + 450 + 200
200 + 500 + 200
Answer:
200 + 400 + 200
This is because you always round up past 50 and down under 50 so.
182->200
439->400
217->200
Whoever gets it right gets marked brainliest!!
For her phone service, Maria pays a monthly fee of $19, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $72.35. What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for "m".
Answer:
m=1067
Step-by-step explanation:
19 +.05m = 72.35
72.35-19 = 53.35
53.35/.05= 1067
m=1067
find the missing term in each of the given proportions
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Please explain how you got it.
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
By the Triangle Proportionality Theorem:
[tex]\displaystyle \frac{x}{12}=\frac{x+1}{15}[/tex]
By cross-multiplication:
[tex]\displaystyle 12(x+1)=15(x)[/tex]
Distribute:
[tex]12x+12=15x[/tex]
Subtract 12x from both sides:
[tex]12=3x[/tex]
Hence:
[tex]x=4[/tex]
Answer:
4
Step-by-step explanation:
The first thing you should notice is that the triangles (the smaller one and the larger one) are similar due to angle-angle similarity (the top angle equals itself, and because the bases are parallel lines cut by a transversal, the base angle of the bigger triangle is equal to the corresponding base of the smaller triangle.
Similar triangles' corresponding sides have equal ratios to one another. That means we can set up an equation: side of smaller triangle ÷ corresponding side of larger triangle = other side of smaller triangle ÷ corresponding side of larger triangle. We plug the values given to us and can change this equation to:[tex]\frac{x}{x + 12} = \frac{x + 1}{x + 16}[/tex] **
We now multiply both sides of the above equation by [tex](x + 12)(x + 16)[/tex] to get: [tex]x(x + 16) = (x + 1)(x + 12)[/tex]
[tex]x^{2} + 16x = x^{2} + 13x + 12[/tex]
[tex]3x = 12[/tex]
[tex]x = 4[/tex]
That means our answer, for the value of x, is 4
** Make sure you don't say [tex]\frac{x}{12} = \frac{x + 1}{15}[/tex], because those aren't the sides of the larger square.
Please help me I’ll mark you as whatever it’s calls brainlest or whatever just help please
Answer:
the third one
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf 2. \ y= -2x+17}}[/tex]
Step-by-step explanation:
We are given a point and a slope, so we can use the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
where m is the slope and (x₁, y₁) is a point the line passes through.
For this problem, the slope is -2 and the point is (5,7). Therefore:
[tex]m= -2 \\x_1= 5\\y_1= 7[/tex]
Substitute the values into the formula.
[tex]y-7= -2(x-5)[/tex]
We want to solve for y, because the standard form of a line is y=mx+b (where m is the slope and b is the y-intercept).
Distribute the -2.
[tex]y-7= (-2*x ) + (-2*-5)[/tex]
[tex]y-7= -2x+10[/tex]
7 is being subtracted from y. The inverse of subtraction is addition, so add 7 to both sides.
[tex]y-7+7=-2x+10+7\\y= -2x+17[/tex]
The equation of the line is y= -2x+17
there were 62 people in the movie theater for the matinee. ticket sales for that showing were $364. if adult tickets cost $7 and children tickets cost $3.50, how many of each were at that show. please solve with systems of equations.
Answer:
Step-by-step explanation:
a+c=62, c=62-a
7a+3.5c=364, using c found above gives you
7a+3.5(62-a)=364 expand left side
7a+217-3.5a=364 group like terms on left side
3.5a+217=364 subtract 217 from both sides
3.5a=147 divide both sides by 3.5
a=42, since c=62-a
c=62-42=20
So 20 children and 42 adult tickets were sold.
I need help plz plz plz plz plz plz plz plz plz plz
Answer:
Variable: t
Constant: 18
Step-by-step explanation:
A constant is the number that is known, the variable is unknown. A variable is usually denoted with a letter and a constant with digits. I hope this helps :0)
Which of these IS a Pythagorean triple? 11,60,62 6,8,15 5,11,12 18,80,82
Answer:
18,80,82
Step-by-step explanation:
82^2= 6724
18^2+ 80^2= 6724
The square of the largest number is equal to the sum of the squares of the two smaller numbers.
The area of the triangle below is 33.62 square feet. What is the length of the base?
Answer:
4.1
Step-by-step explanation:
After picking up a friend who lives 10 miles away and leaving for a trip, Anna records her distance from home over time. The values are shown in the table below. Find her average speed over the first 6 hours in miles per hour (do not include units in your answer).
Answer: 47
Step-by-step explanation:
Δy/Δx=292-10/6-0=282/6=47
solve the system of equations by graphing. y=-3/2x and y =-1/2x-2
Which of the following functions is a polynomial?
Ο Α.
f(x) = x
B
g(x) = log2 (x)
Od
r(x) = 2
ор
s(x) = (x + 21
Step-by-step explanation:
is this table proportional?
explain
Answer:
yes because the hours to distance is moving at a constant rate and if you were to graph it, it would also go through the origin
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
This table is not proportional because the outputs do not get their answer using the same equation. The first to inputs and outputs ([tex]\frac{1}{2}[/tex] and [tex]\frac{1}{4}[/tex]; 1 and [tex]\frac{1}{2}[/tex]) are proportional. You multiply the input (distance) by [tex]\frac{1}{2}[/tex] to get the output (hours). The final option of input and output ([tex]2\frac{1}{2}[/tex] and [tex]1\frac{1}{4}[/tex]) is not proportional.
Hope it helps!
Please help on my last question asap
Answer:
A is the answer
Step-by-step explanation:
how to convert 7,293 a into a fraction
Answer:
is it a decimal
Step-by-step explanation:
Answer: It’s .7293 or 7293