The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
The given equation is:
[tex]3-k=\sqrt{3k+1}[/tex]
Square both sides of the equation
[tex](3-k)^2=3k+1[/tex]
Expand the left side of the equation above
[tex](3-k)^2=3k+1\\\\(3-k)(3-k)=3k+1\\\\3^2-3k-3k+k^2=3k+1\\\\9-6k+k^2=3k+1[/tex]
Write the quadratic equation in standard form
[tex]k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\[/tex]
Factor the quadratic equation
[tex](k-8)(k-1)=0[/tex]
Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
Learn more here: https://brainly.com/question/25840704
answer
first one: 8 and 1
second one: is 1
Step-by-step explanation:
slay
write the slope intercept form of the equation through (2,-4) parallel to y=-1
Answer:
y = -x - 2Step-by-step explanation:
Parallel lines have equal slopes.
Given slope, m = - 1 and point (2, -4).
Slope- intercept form:
y = mx + bTh line will be:
y = -x + bSubstitute x and y- values of the point into equation to find the value of b:
- 4 = - 2 + bb = 2 - 4b = - 2The line is:
y = -x - 2Slope=m=0
Parallel lines have equal slopes
Equation of line in point slope form
y-y1=m(x-x1)y+4=0(x-2)y+4=0y=-4brainlist please solve this
Answer:
D
Step-by-step explanation:
It makes sense, the others don't.
The x coordinate is the temperature, and the y coordinate is the number of cups sold.
Hope this helped! :)
I need help in math homework
Name an angle adjacent to FGI
JGI
HGJ
DGE
HGE
Answer:<JGI
Explanation:
Any angle with the letter H can not be as it is on the opposite side. Leaving you with <JGI and <DGE. <DGE is beside angles DGF and angle EGH
Hope this helps.
The adjacent angle of the angle ∠FGI will be ∠JGI. Then the correct option is A.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
An angle is a structure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
From the figure, the contiguous point of the point ∠FGI will be ∠JGI. Then the right choice is A.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
[tex]41 \times 28 - 36 \div 32 + 17 \times 21 - 18 = [/tex]
answere please
Answer:
The answer is 1485.875.
Step-by-step explanation:
[tex]\large{\tt{\underline{\underline{\pink{SOLUTION:}}}}}[/tex]
To solve the above equation we will follow the BODMAS rule.
[tex]\blue\star[/tex] BODMAS is an order of mathematic operations.[tex]\blue\star[/tex] BODMAS rule is to be followed while solving expressions in mathematics.It stands for :
[tex]\purple\star[/tex] B = bracket[tex]\purple\star[/tex] O = order of power[tex]\purple\star[/tex] D = division[tex]\purple\star[/tex] M = multiplication[tex]\purple\star[/tex] A = addition[tex]\purple\star[/tex] S = subtractionSolving this question by bodmas rule :
[tex]\begin{gathered}\quad{\sf{ = 41 \times 28 - 36 \div 32 + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - \dfrac{36}{32} + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - 1.125+ 17 \times 21 - 18}}\\\\\quad{\sf{ = 1148 - 1.125+ 357 - 18}}\\\\\quad{\sf{ = (1148+ 357) - (1.125 + 18)}}\\\\\quad{\sf{ = (1505) - (19.125)}}\\\\\quad{\sf{ = 1505- 19.125}}\\\\\quad{\sf{ = 1485.875}}\end{gathered}[/tex]
Hence, the answer is 1485.875.
[tex]\rule{300}{2.5}[/tex]
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
-10 < x - 9
Reverse the equation to get x on the left side"
x-9>-10
Add 9 to both sides:
X >-1
Answer: x > -1
omg please help for brainlist !!!!!!!!!!!!!!!!!!!
Answer:
f(x) is linear
g(x) is exponential
Step-by-step explanation:
A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.
First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:
[tex](-38)-(-18)=-20\\(-58)-(-38)=-20\\(-78)-(-58)=-20[/tex]
All of these points are the same distance apart on the y, so f(x) must be a linear function.
Now look at g(x). These are also all equally distant at only 1 unit apart.
[tex]30-10=20\\90-30=60\\270-90=180[/tex]
These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.
please help asap!!! due tonight!!
Answer:
It might be -10:9 or 9: -10 Hope this helps :)
Help me find three different ratios that are equivalent to 3:11!! I need a explanation too!
Solve the following for :
60/3=x/4
Answer:
80
Step-by-step explanation:
60/3 becomes 20 and then it says equal to 1/4 x because x divided by 4 so we multiply by 4 to get 80
An ant can travel at a constant speed of 980 inches every 5 minutes. At this rate, how far can the ant travel in 7 minutes? *
1 point
165% of what number is 28
Answer:
i belive it is 46.2
Step-by-step explanation:
pls help I really need it too pass I am begging
Answer:
Lateral : 103.67 in²
Total : 864 in²
Step-by-step explanation: there you go
The function f(x)is graphed on the coordinate plane.
What is f(−2)?
Enter your answer in the box.
f(−2) =
Answer:
f(-2) = -2
Step-by-step explanation:
f(-2) means find the y value when x = -2
The y value when x = -2 is-2
f(-2) = -2
Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP
Answer:
no
Step-by-step explanation:
Tanisha is hiring 3 musicians for her
birthday party. Each musician charges a
Travel fee of $30 plus an additional $65
per hour. Write an expression that
represents how much money Tanisha will
have to pay all three musicians after
hiring them for x amount of hours.
Answer:
y=65x+30
Step-by-step explanation:
Using y=mx+b, we see that they need 65 dollars per hour, and since x represents the # of hours, we put 65 there as our "slope." Then 30 is the starting amount, or our y-intercept
PLEASE HELP NO ONE HAS BEEN ANSWERING AT ALL!!!! I WILL GIVE BRAINLIEST! With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h
Answer:
Step-by-step explanation:
B
Answer:
B
Step-by-step explanation:
128/2=64 mph
(the rate)
2 hr= 120 min
so.. 120-24= 96
and with the wind speed is r-c and without it is r+c because your going against the wind.
Simplify the difference. (7w2 – 7w – 8) – (5w2 + 2w – 3)
Answer:
2w2-5w-11 just subtract the second set of numbers from the first but it has to be like terms such as anything that is squared would only be applicable to another term with that is squared. a term is any group of number separated by a plus or a minus but it is not a term if it is separated by a multiplication symbol or a division symbol
Answer:
2w^2 - 9w - 5
Step-by-step explanation:
I got it right in Grandpoint.
At Store A, a game system sells for $150.The same system sells for $175 at Store B.Use a ratio to compare the price at Store A to the price at Store B.
Answer:
6:7
Step-by-step explanation:
=store A:store B
=150:175
=6:7
HELP! I need answers to every question
Determine the range of the following graph:
Answer: -5 to 8
Step-by-step explanation: We are looking at the y value of each point on the graph, therefore any y value that falls on the line is part of the range
Someone please help me!!
Answer:
answer attached: x = 5√2
Step-by-step explanation:
Answer:
Step-by-step explanation:
All of the right triangles are similar. This means ...
long side / short side = x/2 = 25/x
Multiplying by 2x gives ...
x² = 25·2
x = (√25)(√2)
x = 5√2
_____
Additional comment
The "geometric mean" of 'a' and 'b' is √(ab). With this in mind, you can see that x is the geometric mean of the lengths 2 and 25. This is always true for this right-triangle geometry.
There are two other geometric mean relations in this geometry, having to do with the other possible ratios of sides. In effect, the length of a segment that touches the hypotenuse (longest side) of the triangle is the geometric mean of the two segments of the hypotenuse it touches.
Left side = √(2·27) = 3√6
Bottom side = √(25·27) = 15√3
How do I find the domain and range of this?
Step-by-step explanation:
identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
determine which graph shows Y is a function of x PLEASE HELP ASAPPP
Answer: The Horizontal line at 5
Step-by-step explanation: For Y to be a function, there cannot be different points on the same x value. The horizontal line is the only one that has one y value per x value.
Hope this helps!
Answer: C
Step-by-step explanation:
Which statements are true for a reflection? Choose all that apply. ________________________________________________________________________________________________________________________________________
The distance between corresponding points in the image and pre-image is constant.
The orientation of points on the polygon is preserved by the transformation.
The angle measures between sides on the polygon are preserved by the transformation.
The distances between points on the polygon are preserved by the transformation.
Answer:
The last 2
Step-by-step explanation:
The lengths of two organisms, P and Q. were recorded. Organism Pis
25 nanometers long and Organism Q is 2,500 picometers long. Which
organism has the greater length?
Answer:
P
Step-by-step explanation:
The SI prefixes nano- and pico- stand for ...
nano- = 10^-9
pico- = 10^-12
2500 picometers is 2500·10^-12 = 2.5·10^-9 = 2.5 nanometers.
25 nanometers is greater than 2.5 nanometers, so is the greater length. Organism P has the greater length.
What's the answer please help me!
Answer:
0.62
Step-by-step explanation:
10 to the 3rd power is 1,000. Since 1,000 is greater than 620, it would become a decimal. Move the decimal behind 620 3 places. It would become:
1st move: 620 -> 62.0
2nd move: 62.0 -> 6.20
3rd move: 6.20 -> 0.62
Jax is proving that the base angles of an isosceles triangle are congruent. He joins a line from
the vertex point to the midpoint of the base, as shown.
Which statement is true?
A) Since AKLM is congruent to AKNM using SSS congruency, m_KLM = m_KNM.
B) Since AKLM is congruent to ANKM using SSS congruency, m_KLM = m_KNM.
C) Since AKLM is congruent to AKMN using SAS congruency, m_KLM = m_KMN.
D) Since AKLM is congruent to ANKM using SAS congruency, m_KLM = m_KNM.
Answer: there you go
Step-by-step explanation:
Please help with this I will give brainliest
Answer:
I beleave its 27
Step-by-step explanation:
This is a sketch of the curve with equation y = f(x).
The vertex of the curve is at (2, -3)
У
Х
(2, 3)
Write down the coordinates of the vertex of the curve with equation
a) f(x) + 5
b) –f(x)
help me please
Answer:
Below in bold.
Step-by-step explanation:
a) the curve moves up 5 units, so
the vertex is (2, -3 + 5)
= (2, 2).
b) - f(x) is the image of f(x) in the x-axis so
The vertex is at (2, 3).