Answer:
(5, -4)Step-by-step explanation:
f(x) = a(x - h)² + k ← the vertex form of quadratic function where vertex is: (h, k)
[tex]\left{\big{f(x)=a(x-h)^2+k}\atop \big{g(x)=3(x-5)^2-4}\right\}\implies a=3\,,\ \underline{h=5\,,\ k=-4}[/tex]
What are all of the real roots of the following polynomial?
f(x) = x5 + 3x4 + 5x3 + 15x2 + 4x + 12
According to the graphic method, the quintic function has a real root at (x, y) = (- 3, 0) and four complex roots.
How to find the roots of quintic equation
Quintic functions are polynomics of degree 5, there are numerical and graphical approaches to find real roots of those kind of polynomials. By algebra we know that quintic equations have at a least one real root and at most five real roots.
In this problem we shall use a graphic approach to determine the real roots of the quintic equation, as it offers sufficiency and quickness for analysis. Please notice that a point of the curve is a root if the point lies on the x-axis.
The graph is contained in the image attached below. According to the outcome, the quintic function has a real root at (x, y) = (- 3, 0) and four complex roots.
To learn more on polynomials: https://brainly.com/question/11536910
#SPJ1
Which of the following explains the relationship between angles C and D
Answer:
they are a linear pair
Step-by-step explanation:
they each add up to 180º when added together
PLEASE HELP MEH IM NEED THIS NOW PLEZZ
What is x ? -2x + 3 < 5
Answer: x>-1
Step-by-step explanation: I know this because I solved this equation. I know that is not a good explanation but I know it is right.
Answer:
x > -1
Step-by-step explanation:
-2x + 3 < 5
subtract 3 from both sides of inequality
-2x < 2
divide both sides of inequality by -2. Keep in mind whenever you divide or multiply by a negative number to both sides of inequality the symbol flips.
x > -1
HELP MEE
2. The scale on a map is 1 cm: 7 km. If two cities are 14 cm apart on
the map, what is the actual distance between the cities?
0 2 km
686 km
098 km
O 14 km
15 cm * (7 km / 1 cm) = 105 km
Answer:
98 km, if i'm not wrong
Step-by-step explanation:
I believe it would be 98km because wouldn't you just multiply 14 x 7?
It cost Zachary $7.00 to send 140 text messages. How many text messages did he send if he spent $0.85?
Answer:
17 messages.
Step-by-step explanation:
Divide 140 by 7 to get 20.
This means it costs 1 dollar for 20 messages.
And therefore 17 messages for 85c.
solve for v pls thanks
Answer:
v = 18
Step-by-step explanation:
8/3v = 48
were going to have to get 3 on the other side, so were going to cancel it out and multipliy it because it is a fraction
now we would have 8v = 48*3
48*3=144
now the equation looks like this 8v = 144
to isolate v we can divide 8 on both sides
which brings us to v = 18
High Hopes^^
Barry-
Solve xy − 9 = k for x. I WILL MARK BRAILIEST
Answer:
x = [tex]\frac{k+9}{y}[/tex]
Step-by-step explanation:
Given
xy - 9 = k ( add 9 to both sides )
xy = k + 9 ( isolate x by dividing both sides by y )
x = [tex]\frac{k+9}{y}[/tex]
3x^2+9x+6=0
Solve for quadratic formula
Answer:
[tex]x=-1 ,-2[/tex]
Step-by-step explanation:
Quadratic Formula: [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]
Step 1: Define
3x² + 9x + 6 = 0
a = 3
b = 9
c = 6
Step 2: Substitute and Evaluate
[tex]x=\frac{-9 \pm \sqrt{9^2-4(3)(6)} }{2(3)}[/tex]
[tex]x=\frac{-9 \pm \sqrt{81-72} }{6}[/tex]
[tex]x=\frac{-9 \pm \sqrt{9} }{6}[/tex]
[tex]x=\frac{-9 \pm 3 }{6}[/tex]
[tex]x=\frac{3(-3 \pm 1) }{6}[/tex]
[tex]x=\frac{-3 \pm 1}{2}[/tex]
[tex]x=\frac{-2}{2} ,\frac{-4}{2}[/tex]
[tex]x=-1 ,-2[/tex]
To save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother said he can work no more than 15 hours to ensure he keeps up with his homework. Tom needs to make at least $75 to cover prom expenses. If d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars, which system of inequalities represents this solution?
Answer:
Hey there! The answer you selected is correct!
Step-by-step explanation:
$6 x the number of hours he works + $7.50 times the number of hours he works has to be less than or equal to (≤) 15 hours. The number of hours he works has to be more than or equal (≥) to $75. Great job choosing the correct answer!
The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;
d + c ≤ 15.
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now it is given that,
Money from walking neighbor's dog = $6 per hour
Money from car wash = $7.5 per hour
Total Number of hours of work not more than 15 hours
Now, if d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars
So, money from walking neighbor's dog = 6c
and money from car wash = 7.5d
Therefore total money saved = 6c + 7.5d
∵ Total Number of hours of work is not more than 15 hours
⇒ d + c ≤ 15
∵ Tom needs to make at least $75 to cover prom expenses
⇒ 6c + 7.5d ≥ 75
The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;
d + c ≤ 15.
To learn more about inequality :
https://brainly.com/question/14506583
#SPJ2
Customers of a utility company received notices in their monthly bills that heating costs for the average customer had increased 125% over last year because of an unusually severe winter. In January of last year, the Garcia's paid $120 for heating. What should they expect to pay this January if their bill increased by 125%?
Answer: $270
Step-by-step explanation:
Cost of heating last year = $120
The amount that they will expect to pay this January if their bill increased by 125% will be the addition of $120 and 125% of $120. This can be mathematically expressed as:
= $120 + (125% × $120)
= $120 + (1.25 × $120)
= $120 + $150
= $270
help pls.. due in a few mins
Answer:
f(1)=1
Step-by-step explanation:
f(1) is talking about the x point. this point correlates with the y axis at (1,1). this makes the answer f(1)=1
7. Movers, Not Shakers moving company charges $800 plus $16 per hour. Hernia Movers
charges $720 plus $21 per hour.
a. After how many hours, h, would the two moving companies cost the same amount?
b. What would that amount be?
Answer:
a.16
b.1056
Step-by-step explanation:
a. So we know that Not Shakers charges 800 dollars + 16 per hour, so we can call that 800 + 16h. We also know that Hernia Movers charges 720 dollars + 21 per hour, so we can call that 720 + 21h.
Now in order to find when they will have the same amount, we have to solve for h.
Equation:
800 + 16h= 720+21h
800=720+5h
5h=80
h=16
The two companies will have the same amount after 16 hours.
b. Now we have to find that amount, so all we have to do is replace h with 16. so 720 + 21(16) = 1056.
Therefore, the amount will be 1056 dollars.
pls help
A:1/360
B:1/180
C:1/90
D:1/100
Answer: A) 1/360
This is because there are 360 degrees in a full circle.
= –5x + 30 x = 10 What is the solution to the system of equations? (–20, 10) (10, –20) (10, 4) (4, 10)
Answer:
BBBBBBBBBBBBBBBBB
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
5n + 3 > 4 - (6 – 5n)
Simplify this algebraic expression completely.
8y – 2(y+4)
ОА. бу – 4
ОВ. бу+2
Ос. бу+ 4
D. бу – 8
Answer:
2 (3 y - 4) <- Complete answer, but since you only have those choices it's
6 y - 8
Step-by-step explanation:
Simplify the following:
8 y - 2 (y + 4)
Hint: | Distribute -2 over y + 4.
-2 (y + 4) = -2 y - 8:
8 y + -2 y - 8
Hint: | Group like terms in 8 y - 2 y - 8.
Grouping like terms, 8 y - 2 y - 8 = (8 y - 2 y) - 8:
(8 y - 2 y) - 8
Hint: | Combine like terms in 8 y - 2 y.
8 y - 2 y = 6 y:
6 y - 8
Hint: | Factor out the greatest common divisor of the coefficients of 6 y - 8.
Factor 2 out of 6 y - 8:
Answer: 2 (3 y - 4)
Gwendolyn draws a hotdog on graph paper using the scale shown below. The hotdog has a length of 9
units in the drawing.
Scale:
10 cm
length
A
What is the length, in cm, of the actual hotdog?
cm
The length of the actual hotdog comes to be 15cms.
What is a scale factor?A scale factor is a ratio between corresponding measurements of an object and a representation of that object.
From the diagram
6 units = 10cm
So, 1 unit =10/6 cm
The length of the hotdog shown in the graph = 9 units
So, 9 units = 9*(10/6)
9 units = 15cms
So, the actual length of the hotdog =15cms
Thus, the length of the actual hotdog comes to be 15cms.
to get more about scale factors visit:
https://brainly.com/question/1903243
Trapezoid JKLM with vertices J(-4,3),K (-2,7),L(2,7), and M(3,3) in the line y=1. Find the cord images of the reflected object.
9514 1404 393
Answer:
J'(-4, -1)K'(-2, -5)L'(2, -5)M'(3, -1)Step-by-step explanation:
Reflection over the line y=1 is equivalent to the transformation ...
(x, y) ⇒ (x, 2-y)
Then the transformed coordinates are ...
J(-4, 3) ⇒ J'(-4, -1)
K(-2, 7) ⇒ K'(-2, -5)
L(2, 7) ⇒ L'(2, -5)
M(3, 3) ⇒ M'(3, -1)
_____
You can do the arithmetic (as we have done above), or you can simply read the coordinates of the reflected points from the graph.
J is the Midpoint of Segment MN. If MJ=23, Find MN.
Answer:
46?
Step-by-step explanation:
Some1 help with the congruence statement plz
Answer:
It would be rotation what do u mean by congruent statement? Angles? B is congruent to D A IS CONGRUENT TO e
Step-by-step explanation:
it says to show work...
Answer:
The answer is no solution.
Step-by-step explanation:
2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.
(a) What output does the rule give when the input is ?
(b) What output does the rule give when the input is ?
(c) Is the rule a function? Explain why it is or why it is not.
Complete Question:
Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen.
A) what output does the rule give when the input is (-6,0)?
B)What output does the rule give when the input is (3,-4)?
C) Is the rule a function? Explain why it is or why it is not
Answer:
a. The output is (-9,4)
b. The output is (0,0)
c. See Explanation
Step-by-step explanation:
Given
Rule: (x,y)->(x - 3, y + 4)
Solving (a):
Inputs:
[tex]x = -6[/tex]
[tex]y = 0[/tex]
The outputs is as follows;
[tex]x => x - 3[/tex]
[tex]x => -6 - 3[/tex]
[tex]x => -9[/tex]
[tex]y=> y + 4[/tex]
[tex]y=> 0 + 4[/tex]
[tex]y=> 4[/tex]
Hence:
The output is (-9,4)
Solving (b):
Inputs:
[tex]x = 3[/tex]
[tex]y = -4[/tex]
The outputs is as follows;
[tex]x => x - 3[/tex]
[tex]x=>3-3[/tex]
[tex]x = 0[/tex]
[tex]y=> y + 4[/tex]
[tex]y=>-4+4[/tex]
[tex]y=>0[/tex]
Hence:
The output is (0,0)
Solving (c):
The function is a rule and the rule is that:
It shifts the graph left by 3 units and up by 4 units
7. What's the volume of a square pyramid that has a base side of 12 and a height of 16?
A. 2304
B. 1536
C. 192
D. 768
Answer:
2304
Step-by-step explanation:
You should multiply width by length by height
if the temperature was 55 degrees Fahrenheit and later on it was -13 degrees Fahrenheit whats the difference??
Answer:
68
Step-by-step explanation:
It just it
Answer:
68°F
Step-by-step explanation:
55 degrees minus -13 degrees is 68, the difference is 68 degrees Farenheit.
srry I meant 68
3(5+3)^2 +14
help me pls i cannot deal w my parents again
Answer:
206
Step-by-step explanation:
I put it in a calculator
Answer:
206
Step-by-step explanation:
3(5+3)^2+14
3(8)^2+14
3(64)+14
194+14
=206
Help me please, and thank u
Answer:
Step-by-step explanation:
Check the attached diagram... since they are parallel lines, those angles should be equal. now as per the theorem of opposite angles, (3x + 10)° should be equal to 70° .
(3x + 10)° = 70°
3x = 60°
x = 20
Elene went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for 2.50. How much does popcorn cost per ounce? How much popcorn can you buy per dollar? Write two different equations that represent this situation. Use for ounces of popcorn and for cost in dollars.
Answer: See explanation
Step-by-step explanation:
Fron the question, we are informed that she bought 10 ounces of spicy popcorn for $2.50.
a. How much does popcorn cost per ounce?
1 ounce of popcorn = $2.50/10 = $0.25
b. How much popcorn can you buy per dollar?
Since 1 ounce of popcorn cost $0.25, $1 can buy popcorn worth:
= $1/$0.25
= 4 ounce of popcorn.
The relationship between the ounce of popcorn and the amount spent is an illustration of a linear function.
The cost per ounce is $0.25The amount of popcorn for $1 is 4 ouncesFrom the question, we have:
[tex]\mathbf{10oz - \$2.50}[/tex]
(a) The cost per ounce
To do this, we simply divide both sides by 10
[tex]\mathbf{Cost = \frac{\$2.50}{10oz}}[/tex]
[tex]\mathbf{Cost = \$0.25/oz}[/tex]
Hence, the cost per ounce is $0.25
(b) Popcorn for $1
To do this, we simply divide both sides by 2.5
[tex]\mathbf{Popcorn- \frac{10oz}{\$2.50}}[/tex]
[tex]\mathbf{Popcorn- 4oz/\$}[/tex]
Hence, the amount of popcorn for $1 is 4 ounces
(c) Represent as equations
In (a), the cost per ounce is $0.25.
So, the equation is:
[tex]\mathbf{y = 0.25x}[/tex]
In (b), the amount of popcorn for $1 is 4 ounces
So, the equation is:
[tex]\mathbf{x = 4y}[/tex]
Where: x represents the size of popcorn, and y represents the cost.
Read more about linear functions at:
https://brainly.com/question/21107621
Solve. The following decimal number operations.
1 a. 1.2 + ______ = 1.8
1 b. 3.9 + ______ = 7.47
2 a. ______ + 3.8 = 7.9
2 b. ______ + 0.36 = 0.36
3 a. 1.2 + ______ = 4.1
3 b. ______ + 0.63 = 6.33
4 a. 4.1 + ______ = 7.68
4 b. ______ + 0.9 = 3.8
5 a. 5.1 + ______ = 5.98
5 b. 3.1 + ______ = 4.3
6 a. 0.7 + ______ = 1.3
Answer:
XDDDDDDDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
-9fgh/f,f=0 I need help please I'm failing
Answer:
umm this seriously dont make sense..
please help asappppp!!
Step-by-step explanation:
3 because I don't really know