Answer:
m = 2 and n = 3
Step-by-step explanation:
We want to find the value of the integers m and n that will make the given expression true
(2x^ny^2)^m = 4x^6y^4
We can rewrite the left hand side of the equation as follows;
(2x^3y^2)^2
we can proceed to use inspection to ind the value of m and n
Through inspection since the left hand side of the equation now looks like the right hand side;
Then;
m= 2 and n = 3
If the discriminant of an equation is zero, which of the following is true of the
equation?
A. It has one real solution.
B. It has two real solutions.
C. It has two complex solutions.
D. It has one complex solution.
Answer: A is the answer
Step-by-step explanation:
I just took the test!!
It has one real solution if the discriminant of an equation is zero, option (A) is correct.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
Here:
Discriminant D:
[tex]\rm D =\sqrt{b^2-4ac}[/tex]
D = 0
[tex]\rm x = \dfrac{-b \pm0}{2a}[/tex]
x = -b/2a (one real solution)
Thus, it has one real solution if the discriminant of an equation is zero, option (A) is correct.
Learn more about quadratic equations here:
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HELP ME I NEED HELP EASY 10 POINTS
Answer:
X = 14
give me brainliest please
Step-by-step explanation:
3x + 29 = 7x - 27
3x + 56 = 7x
56 = 4x
x = 14
1. A bag of apples at HEB costs $2.49 for 6 apples. What is the price per apple.
Answer:
$0.42 per apple
Step-by-step explanation:
F(x)=2x+3 and g(x)=3x-2 find f(g(x))
Answer:
f(g(x))=6x-1
Step-by-step explanation:
Replace all x's in f(x) with g(x):
f(g(x))=2(3x-2)+3 = 6x-4+3=6x-1
Tamar used the algebraic method to convert the repeating decimal number to 2.45 to a fraction. Her first two steps are shown below. Step 1: x=2.45. Step 2: 100x=245.45. What should be Tamar’s next step
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x = 2.4545... → (1)
100x = 245.4545... → (2)
Subtract (1) from (2) eliminating the repeating decimal
99x = 243 ( divide both sides by 99 )
x = [tex]\frac{243}{99}[/tex]
Olive Garden Restaurant has a waiter to cook ratio of 5 to 4. The total number of servers and cooks is 63. How many waiters does the Olive Garden have employ?
Answer:
35
Step-by-step explanation:
Waiter:cook
5:4
5+4=9
63/9=7
7*5=35
63-35=28
35:28 = 5:4
Write the following equation in vertex form by completing the square.
f(x) = -x2 – 8x +5
Answer:
the vertex form is -1(x+4)-11
Step-by-step explanation:
i attached my work
A if AB is a segment in the plane and CD is a segment on the plane of the same length, then AB is congruent to CD Do you believe the claim is true? When explaining your thinking , if you believe the claim is true, then try to prove it by using the definition of congruent . If you believe the claim is false , then try to provide a counterexample in which the " " part (hypothesis ) is true , but the "then " part ( conclusion ) is false , you have disproved the claim .
Answer:
this claim is true because 2 lines can be confruent if they have the same length.
Step-by-step explanation:
The statement is true.
What is Collinear lines?Three or more points are said to be collinear if they lie on a single straight line. A line on which points lie, especially if it is related to a geometric figure such as a triangle, is sometimes called an axis. Two points are trivially collinear since two points determine a line.
So, using the concept of collinear line and translation we have
A translation is a type of transformation that moves each point in a figure the same distance in the same direction.
So, the line is congruent.
Learn more about collinear points here:
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Rick and lulu each went on a family vacation. Rick drove 375 miles in 5 hours; Lulu drove for 6 hours and 30 minutes.If they traveled at the same speed, then how many more miles did lulu drive than rick?
Answer:
112.5 miles
Step-by-step explanation:
375/5=75
75*6.5=487.5
487.5-375=112.5
can someone answer this and maybe explain it?
Answer:
yea what he said..........
A catering business specializes in catering wedding receptions. They charge $400 for setting up the buffet and an additional $7.50 per guest. Mr. and Mrs. Smith want to spend no more than $1600 on the catering. Write and solve an inequality to determine the number of guests that can be invited to the reception.
Answer:
x<=160Step-by-step explanation:
Step one:
given data
Charges= $400
Additional charges= $7.5 per guest
let the number of guests be x
let the total cost be y
the model for the situation is given as
y=mx+C
Step two:
given that y=1600
we can solve for x as
1600=7.5x+400
1600-400=7.5x
1200=7.5x
divide both sides by 7.5 we have
x=1200/7.5
x=160
Therefore the expected guest should not be more than 160
x<=160
100 PIONTS AND BRAINLIEST
the question is in the following snip
Answer: C
Step-by-step explanation:
If you brake down 12 into 4s it is four 3's
12= 3,3,3,3
so now we know a comic is 3$ so he can buy 4 comics for the price of one book
now divide 84 by 12 = 7
so 3 books and 16 comics
URGENT: WILL MARK BRAINLIEST
Answer:wait 15 min then I will have thee answer
Step-by-step explanation:
Help Me pleasee i dont understand
Leon's score, L, on his test was 10 points greater than Mia's score, M. Which equation shows Leon's test score?
Answer:
L= M+10
Step-by-step explanation
10 more than Mias is leon's
Figure B is a Scaled Copy of Figure A. What is the scale factor from Figure A to Figure B? *
Answer:
3
Step-by-step explanation:
-) A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.
Answer:
22( w + 2 ) =77 and the amount of the water bottle would be 1.50
Step-by-step explanation:
round to the nearst tenth if needed 55.2 divided by 46
Answer:
1.2 is the correct answer when you divide 55.2 by 46
Step-by-step explanation:
Which expression is equivalent to 46.4-8?
A 1 over 4 to the power of 2 B 1 over 4 to the power of 1 C 4 to the power of 2 d 4 to the power of 14
[tex] {4}^{6} \times {4}^{ - 8} = {4}^{6 - 8} = {4}^{ - 2} = \frac{1}{ {4}^{2} } \\ [/tex]
So the correct answer is (( a )) .
Done.....♥️♥️♥️♥️♥️
I need help on how to find the radius
Answer:
7
Step-by-step explanation:
the radius is just half of that!
help me with this geooo
Answer:
If angle A is not acute, then the m angle A is not equal to 20
(3rd choice)
Show your work on the multiplication please
Answer:
Daniel has 6,174 pokemon cards:)
We know this because 18 x 343 is 6,174.
(Hope this helps)
Ava has a total of 116 cards ALL together because 18p+98c
So if we want to figure out how many cards Daniel has, you will do 343×18.
So that equals 6174, and if you want to divide it to be sure, 6174÷343 is 18.
So Daniel has 6174 cards, 343 times the amount of cards Ava has.
what is the volume of this cylinder?
r=5 cm
12cm
Answer:
V = 300π or 942.477
Step-by-step explanation:
Volume of a cylinder= π*r^2*h
Plug in.
V = π*5^2*12
V= π*25*12
V = 300π or 942.477
How do you write 8,560 in scientific notation?
Answer:
8.56 × 103
Step-by-step explanation:
Answer:
8.56 × 10³
I hope this helps!
Tell whether the root of the word below is locked or free,
madness
1.locked
2.free
Help me please
Answer:
free
Step-by-step explanation:
four times a number increased by one is between a negative seven and thirteen. Find all numbers.
Answer:
Step-by-step explanation:
Let the number be x.
four times the number:
4x
If the exprression is increased by 1, it will become:
4x+1
If the value is between -7 and 13, the value of x will be within the range [-6, 12]
Equating the resulting expression to each end point.
At end point of -6
4x+1 = -6
4x = -6-1
4x = -7
x = -7/4
At the end point of 12:
4x+1 = 12
4x = 12-1
4x = 11
x = 11/4
Hence all the numbers will be within the range [-7/4, 11/4] or -7/4≤x≤11/4
Answer:
bbbbbvvvvvvvvv
Step-by-step explanation:
PLEASE HELP ME!! (I’m struggling in microeconomics) For each scenario see whether you agree. Then determine if the scenario is talking about a price for or price silly then graph the price control to show the results.
9. During the past week, Mr. Hamilton gave one quiz and one exam to his high school algebra class.
It takes Mr. Hamilton of an hour to grade one student's exam and of an hour to grade one
student's quiz. If x represents the number of students that took the quiz and exam, which
equation below could be used to find the y, the total amount of time, in hours, spent grading?
a) y = 6x
b) y = -X
45
c) y = -x
101
d) y = x
Missing Information:
It takes Mr. Hamilton 1/15 of an hour to grade one student’s exam and 1/30 of an hour to grade one student’s quiz.
Answer:
[tex]Total\ Time = \frac{x}{10}[/tex]
Step-by-step explanation:
Given
[tex]Exam = \frac{1}{15}hr[/tex]
[tex]Quiz = \frac{1}{30}hr[/tex]
Required
Determine the time spent on x students
First, we need to determine the total time spent on 1 student
[tex]Time = Exam + Quiz[/tex]
[tex]Time = \frac{1}{15} + \frac{1}{30}[/tex]
Take LCM
[tex]Time = \frac{2 + 1}{30}[/tex]
[tex]Time = \frac{3}{30}[/tex]
[tex]Time = \frac{1}{10}[/tex]
Next is to determine the total time on x students:
[tex]Total\ Time = \frac{1}{10} * x[/tex]
[tex]Total\ Time = \frac{x}{10}[/tex]
n-6= -2
One step equations
Answer:
4
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
A. X= 23.y=413
B. 1 = 3, y = 613
C. = 6/3, y = 12
D. x= 23, y = 6
Answer:
x = [tex]2\sqrt{3}[/tex] , y = [tex]4\sqrt{3}[/tex] ⇒ A
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its three sides
The length of the side opposite to the angle of measure 30° is half the length of the hypotenuseThe length of the side opposite to the angle of measure 60° is half the length of the hypotenuse times [tex]\sqrt{3}[/tex]→ 30° : 60° : 90°
→ 1 : [tex]\sqrt{3}[/tex] : 2
In the given figure
∵ The length of the hypotenuse is y
∵ The length of the side opposite to the angle of measure 30° is x
∵ The length of the side opposite to the angle of measure 60° is 6
→ By using the ratio above
→ 30° : 60° : 90°
→ 1 : [tex]\sqrt{3}[/tex] : 2
→ x : 6 : y
→ By using cross multiplication
∵ x × [tex]\sqrt{3}[/tex] = 1 × 6
∴ x [tex]\sqrt{3}[/tex] = 6
→ Divide both sides by [tex]\sqrt{3}[/tex]
∴ x = [tex]\frac{6}{\sqrt{3}}[/tex]
→ Simplify it by multiplying up and down by [tex]\sqrt{3}[/tex]
∴ x = [tex]\frac{6\sqrt{3}}{3}=2\sqrt{3}[/tex]
∴ x = [tex]2\sqrt{3}[/tex]
∵ y × [tex]\sqrt{3}[/tex] = 6 × 2
∴ y [tex]\sqrt{3}[/tex] = 12
→ Divide both sides by [tex]\sqrt{3}[/tex]
∴ y = [tex]\frac{12}{\sqrt{3}}[/tex]
→ Simplify it by multiplying up and down by [tex]\sqrt{3}[/tex]
∴ y = [tex]\frac{12\sqrt{3}}{3}=4\sqrt{3}[/tex]
∴ y = [tex]4\sqrt{3}[/tex]
You drive 14.4 miles. How many feet is that?
Answer:
76032
Step-by-step explanation:
Answer:
76032
Step-by-step explanation:
There are 5280 in one mile.
5280 x 14.4 = 76032