Answer:
x=-9
y=4
Step-by-step explanation:
x + 3y = 3
x - 5y = -29
Multiply the second equation by -1
-x + 5y = 29
Add the two equations together to eliminate x
x + 3y = 3
-x + 5y = 29
---------------------
0x +8y = 32
Divide each side by 8
8y/8 = 32/8
y = 4
Now solve for x
x+3y =3
x+3(4) = 3
x+12 = 3
Subtract 12 from each side
x+12-12 = 3-12
x = -9
The exponential function f is given by f(x) = 3x. by what factor does f increase when the exponent x increases by 2? explain how you know. a 3 b 6 c 9 d 12
The exponential function f(x) = 3^x, when x has a value of 2 increases by 9.
What is an exponential function?An exponential function is a function that is in the form: m = ab^x
Where:
a = initial value b = rate of increase x = number of yearsF(x) = 3^x
3^2 = 9
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Mai's family is traveling in a car at a constant speed of 65 miles per hour.
a. At that speed, how long will it take them to travel 195 miles?
b. How far do they travel in 30 minutes?
Answer:
a) 3 hr b ) 32.5 miles
Step-by-step explanation:
195 m / 65 m/hr = 3 hr
65 m/hr * 1/2 hr = 32.5 miles
fasttt please 6,132 ÷ 10³ =
Answer:
6.132
Step-by-step explanation:
please mark me the brainiest
Find the x-intercept and y-intercept of the line.
=+6x3y−6
HELP PLEASE! A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.
How many campers chose basketball as their favorite activity?
26 campers
36 campers
44 campers
58 campers
Answer:
44 campers chose basketball
I need help on this question
0.007 kg
Step-by-step explanation:[tex]1000\ grams=1\ kg\\ 7\ grams=0.007\ kg\\ Check\ conversion[/tex]
I hope this helps you
:)
Which equation describes how the parent function, y = x cubed, is vertically stretched by a factor of 4? y = x cubed 4 y = (x 4) cubed y = 4 x cubed y = x superscript 4
The required function when the parent function is stretched comes to be [tex]f(x)=x^{3} +4[/tex].
The parent function is:
[tex]f(x)=x^3[/tex]
How vertical translation of the graph of a function takes place?If a function f(x) is vertically translated by k units f(x) becomes f(x)+k where k is positive.
Given function [tex]f(x)=x^3[/tex] is vertically shifted by 4 units
So, f(x) will become f(x)+4
[tex]f(x)+4 = x^{3} +4[/tex]
So, the required function is [tex]f(x)=x^{3} +4[/tex]
Therefore, the required function when the parent function is stretched comes to be [tex]f(x)=x^{3} +4[/tex].
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Answer:
A
Step-by-step explanation:
edge, 2022
Point K is shown on the number line below .
Which number sentence BEST describes the value represented by point K?
Answer: B. K < 13. K is 12.5, 12.5 is less than 13
1. Its not D because at the ending points of the number line; 10-20, which is less than 30.
2 It is not C because K is not on 15
3 It is not A because 12.5 is less than 13.
Hope it helps!!
What is the length of the line segment whose endpoints are A(-1,9) and B(7,4) in the simplest radical form?
length : [tex]\sf \sqrt{89}[/tex]
Explanation:
use the distance formula : [tex]\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
using the formula:[tex]\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{64+25}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{89}[/tex]
Answer:
[tex]\sf \sqrt{89}[/tex]
Step-by-step explanation:
Let A = [tex]\sf (x_1,y_1)[/tex] = (-1, 9)
Let B = [tex]\sf (x_2,y_2)[/tex] = (7, 4)
Distance formula:
[tex]\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Input values into the distance formula and solve for d:
[tex]\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}[/tex]
[tex]\sf \implies d=\sqrt{8^2+(-5)^2}[/tex]
[tex]\sf \implies d=\sqrt{64+25}[/tex]
[tex]\sf \implies d=\sqrt{89}[/tex]
At the start of a science experiment, the temperature is 10 degrees Celsius. If the temperature decreases by a constant rate of 3 degrees Celsius each minute, what will be the temperature, in degrees Celsius, after 5 minutes?
Answer:
-5°C
Step-by-step explanation:
Let T1 be the temperature at the start of the experiment.
We know, T1 = 10°C
Rate of decrease in temperature = 3°C per minute.
Total temperature decreased after 5 minutes (T2) = (3*5)°C
= 15°C
The final temperature (T) = T1 - T2 = 10°C - 15°C = -5°C
Lily wants to do fencing around a circular garden that has a radius of 70m. If the cost of fencing is $12 per meter, find the total cost of fencing for the entire garden (use pi=22/7
Answer:
$5280
Step-by-step explanation:
Since the radius of the circle is 70m, the perimeter or circumference of the circle is 2πr --> 2 * 70 * 22/7 which is 440 meters. Since each meter of fencing costs $12, the total cost of the fencing is $5280
Find the area of this triangle. round to the nearest tenth.
Answer:
67.5ft²
Step-by-step explanation:
1/2xhxb
1/2x9x15
4.5x15
67.5ft²
Hope this helps!!!!
This one is hard! try your best please.
A box contains 9 identical glass spheres that are used to make snow globes. The spheres are tightly packed, as shown below.
Answer:
1. 301.6 [tex]in^{3}[/tex]
2. 576 [tex]in^{3}[/tex]
3. 274.41 [tex]in^{3}[/tex]
Step-by-step explanation:
We know that the diameter of one of the spheres must be 4 in, because the length of the box is 12 in and there are 3 spheres along each side, and [tex]\frac{12}{3} =4[/tex]. That means that the radius of a sphere is 2 in. Put 2 into the formula for the volume of a sphere, and then multiply your solution by 9, to get the total volume.
Then, you can find the volume of the box, because you know its dimentions are 12x12x4.
Subtract your answer for part 1 from your answer for part 2, and you have the solution to part 3. Hope this helps!! :-)
a triangle has angle measurements of 61°, 84°, and 35°. is this triangle isosceles?
Answer: No
Step-by-step explanation:
This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.
4x^2 - y^2 - 2x- y
Factorise each of the following expressions completely
Answer:
(2x + y)(2x - y - 1)
Step-by-step explanation:
4x² - y² - 2x - y
4x² - y² is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
4x² - y²
= (2x)² - y²
= (2x - y)(2x + y)
expression is now
(2x - y)(2x + y) - (2x + y) ← factor out (2x + y) from each term
= (2x + y)(2x - y - 1)
Which quadratic function in standard form has the values a = –3. 5, b = 2. 7, and c = –8. 2? f(x) = 2. 7x2 – 8. 2x – 3. 5 f(x) = 2. 7x2 – 3. 5x – 8. 2 f(x) = –3. 5x2 – 8. 2x 2. 7 f(x ) = –3. 5x2 2. 7x – 8. 2.
to the Kansas River Crossing.
Last year the depth of the river was 4.2 feet deep.
This year it dropped 17%.
Find the depth of the river this year to cross it.
Answer:
3.486 feet (1.06 m) or 3 feet (0.91 m) five inches
Step-by-step explanation:
17 percent of 4.2 is 0.714 and 4.2–0.714 is 3.486
Step-by-step explanation:
Please help :)))))))))))
Answer:
Your answer is C and D
Step-by-step explanation:
Answer:
D. y = -x - 1
Step-by-step explanation:
We are using slope-intercept form for this problem.
Since this line is going from upper left to bottom right we know it will have a negative slope.
The line intersects the y-axis at -1, so the b value is -1.
The equation for this line is D. y = -x - 1
please helpppp pleaseee
а. 5
b. 180(5-3)=540
,..,,..,.,.,
Pls help me solve this
Jestions: 5
5. Which of the following fractions makes this statement true?
4
12
er
3
7
dio
2
7
4.
5
panol
7
12
Answer:
I believe 2/7
Step-by-step explanation:
When you make them the same denominator they look like 48/84 > 24/84 and that's how you get the answer
show work pls hahhhh
Answer:
27
Step-by-step explanation:
[tex]\frac{3^2\left(2^3+4\right)}{2^2}[/tex]
[tex]\mathrm{Solve\;3^2\cdot(2^3+4):108}[/tex]
[tex]\mathrm{Solve\;2^2:4}[/tex]
[tex]=\frac{108}{4}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{108}{4}=27[/tex]
~Lenvy~
Complete the coordinates using the given equation
Y=3x+3
X=5
Answer:
(5,18)
Step-by-step explanation:
Plug in the X value into the Y equation,
Y=3(5) +3
Y=15 +3
Y=18
Then format your results as coordinates in the standard (X,Y) format
(X,Y)
(5,Y)
(5,18)
In the parallelogram shown, find the measure of ∠A.
Answer: 40 degrees
Step-by-step explanation:
One winter, a group of students measured snowfall totals at their school. This
chart shows how many inches of snow the students measured each month.
How much total snowfall did they receive at their school that winter?D
MONTH
SNOWFALL
December 3.3
January 10.6
February 2.5
Help pls
Answer:
The answer is 16.4 inches
Step-by-step explanation:
The result is calculated by adding all the values together. 3.3+10.6+2.5=16.4
Beverly's average mark for nine examination papers was 89.5. How many marks did she score altogether?
Answer:
805.5 out of 900
Step-by-step explanation:
A test is out of 100 and because there are 9 tests: 9 x 100 which equals 900.
To get the average we add up each test mark and divide by the number of tests. The same can be applied here but reversed. So because there were 9 tests we can multiply 89.5 by 9 which gives us 805.5. Beverly scored 805.5 marks out of 900 which makes her average 89.5% for 9 tests.
write the equation of the blue line using slope intercept form (y=mx+b)
Answer:
Step-by-step explanation:
X1=-4
Y1=7
X2=-3
Y2=6
(-2,0 ) X INTERCEPT
(0,-7)Y INTERCEPT OR B
M=6-7/-3+4
M=_1
Y=-1X+-7
Altitude is the height in relation to sea level. Umar walks from a valley to a hilltop. The valley has an altitude of -32 1/2 feet. The hilltop has an altitude of 85 3/4 feet. What is the altitude change from the valley to the hilltop?
Answer:
118.25
Step-by-step explanation:
What is the area of a square with vertices: G(1, 0), O(5, 2), A(3, 6) and T(-1, 4)? Show your work!
By finding the side length of the square, we will see that the area is 20 square units.
How to get the area of a square?
For a square of side length S, the area is:
A = S^2
In this case, the side length of the square will be the distance between two consecutive vertices, so we can say that S is the distance between points G and O.
Remember that the distance between two points (x₁, y₁) and (x₂. y₂) is:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
So the distance between the points G(1, 0) and O(5, 2) is:
[tex]S = \sqrt{(5 - 1)^2 + (2 - 0)^2} = \sqrt{20}[/tex]
Then the area of this square is:
[tex]A = S^2 = (\sqrt{20})^2 = 20[/tex]
The area is 20 square units.
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The school band sells carnations on Valentine's Day for $3 each. It buys the carnations from a florist for $0.50 each, plus a $15 delivery charge. When will the cost of the carnations be equal to the revenue from selling them? How many carnations does it need to sell to reach this point?
The cost of the carnations will be equal to the revenue when it has sold
_______ carnations. It will reach this point after it sells ______carnations.
Answer:
6 carnations
Step-by-step explanation:
0.5x +15 = 3x
x = 6