Answer:
f(x) = x³ - 6x² + 5x + 12Step-by-step explanation:
Given polynomial function f(x) with:
a = 1, r₁ = 4, r₂ = 3, r₃ = -1With the least degree it is:
f(x) = 1*(x - 4)(x - 3)(x - (-1)) = (x² - 7x + 12)(x + 1) = x³ - 6x² + 5x + 12Sorry, ignore the other question I had on here, that was a typo. How do you find the positive/negative intervals of f(x) = 3/(x + 5) ? Please show in full detail!!
Answer:
Positive interval: x is in (-5, infty)
Negative interval: x is in (-infty, -5)
Step-by-step explanation:
A fraction is positive when the numerator and denominator have the same sign. Since the numerator is positive in this case, the fraction will be positive when it's denominator is also positive. Thus, we need to solve x+5>0. Subtracting 5 on both sides gives x>-5.
Positive interval: x is in (-5, infty)
A fraction is is negative when the numerator and denominator have the different signs. Since the numerator is positive in this case, the fraction will be negative when it's denominator is negative. Thus, we need to solve x+5<0. Subtracting 5 on both sides gives x<-5.
Negative interval: x is in (-infty, -5)
A fraction doesn't have an output when it's denominator is 0. That is, in this case when x+5=0 which is when x is -5.
HELPPP IM BEGGING U LOOK AT THE PIC BABES
Answer:
2nd option
Step-by-step explanation:
in the figure below red points are for ΔC"D"E"
we have to go in reverse order
to convert ΔC"D"E" to ΔC'D'E'
we have to scale the given triangle to a scale factor of 2
by multiplying vertices with 2
which gives blue points in the figure
next for 90° counter clockwise of ΔC'D'E' we get ΔCDE
for that we have to interchange x and y in the vertices
(2,2), (4,6), (-2,6) initial
(-2,2), (-6,4), (-6,-2) after
2nd option
Y=6 z=7 h=0 what is y+h
Evaluate
[tex] \sf \longmapsto \: y + h[/tex]
When
[tex]y = 6[/tex][tex]z = y[/tex][tex]h = 0[/tex]Let's start.
[tex] \sf \longmapsto \: y + h[/tex]
Put the values[tex] \sf \longmapsto6 +0[/tex]
Answer[tex] \sf \longmapsto6[/tex]
But there is no use of z = 7 . Z is excluded from y+h.Snow fell for 9 hours at a rate of 12 inch per hour. Before the snowstorm began, there were already 8 inches of snow on the ground. The equation y=12x+8 models the depth y of snow on the ground after x hours. Explain what the slope and y-intercept mean in this snowstorm model.
Answer:
The slope of the model represents the amount of snow(in inches) added to the ground per hour
the y-intercept represents the beginning amount of snow already on the ground
Step-by-step explanation:
Is that the correct answer for it please help me. I want to past my ecam
Answer:
No answer is be 28%
5+9+7+4=25
7/25 + .28 =28%
Step-by-step explanation:
The average rate of change of g(x) between x = 4 and x = 7 is Five-sixths. Which statement must be true?.
The lenght of a rectangle exceeds it width by 2cm. If area of the rectangle is 80 cm The lenght of the rectangle is ?
Answer:
[tex]x4 - (9x5)[/tex]
yan npo wag puro brainly
Answer:
The answer is l =40cm
Heyy help me do this question please and thanks
Answer:
[tex]2.757*10x^{-4}[/tex]
Jean and Jericho who are playing in the school grounds decided to sit on a
seesaw. Jean, who is heavier, tends to raise Jericho on the other end of the seesaw.
They tried to position themselves in order to balance the weight of each other.
Questions: Underline the correct answer.
1. This situation illustrates (direct, inverse) variation.
2. The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
3. The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
4. When Jean moves farther from the center, Jericho tends to go (up,
down).
5. If Jericho moves closer to the center, Jean tends to go (up, down).
We want to see underline the correct part in each statement.
1) This situation illustrates (direct, inverse) variation.2) The two quantities that must vary in this situation are (weight and distance from the center, height and weight).3) The heavier the kid, the (closer, farther) he/she should be at the center to balance the seesaw?4) When Jean moves farther from the center, Jericho tends to go (up, down).5) If Jericho moves closer to the center, Jean tends to go (up, down).So, Jean and Jericho are playing on a seesaw.
Jean is heavier than Jericho.
Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.
If we define:
W₁ = Jean's weight.d₁ = Jean's distance to the center.W₂ = Jericho's weight.d₂ = Jericho's distance to the center.We must have:
W₁*d₁ = W₂*d₂
Then:
1) This situation illustrates (direct, inverse) variation.
d₁, the position of Jean, varies inversely with respect to Jean's weight.
2) The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
(by the equation above)
3) The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
By the given equation, we see that d₁ must be smaller than d₂.
And the last two are trivial:
4) When Jean moves farther from the center, Jericho tends to go (up,
down).
5) If Jericho moves closer to the center, Jean tends to go (up, down).
If you want to learn more, you can read:
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Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?
–1.5
–0.5
0.5
1.5
Answer:
1.5
1.5
Step-by-step explanation:
The steps are in the image above
The slope of the line through these two data points is 1.5.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
x represents the time and y represents the temperature in degrees Fahrenheit.
temperature of –2°F at 8 a.m. Hence:
-2 = 8m + b (1)
it was 4°F at 12:00 p.m. Hence:
4 = 12m + b (2)
Solving equations 1 and 2 simultaneously gives:
m = 1.5, b = -14
The slope of the line through these two data points is 1.5.
Find out more on linear equation at: https://brainly.com/question/14323743
10 Jim was thinking of a number. Jim subtracts 14 from it and gets an answer of 43.9. What was the original number?
57.9 add 14 to the answer and you get your number
Yall i need help asap! please help
3) 1010000
4) 1582
I helped
Jodie wants to raise money for a school trip by selling raffle tickets at a basketball game. She sells each ticket for 50 cents, and she sells two and a half rolls of tickets. If each roll of ticket has 200 tickets, how much money did Jodie make?
Answer:
250 dollars
Step-by-step explanation:
t = tickets
t = 200
Two and a half rolls tickets = (200 x 2) + 200/2) = 400 + 100 = 500
500 tickets x 50 cents = 25000 cents
convert cents to dollars (move decimole point over left 2 units)
25000 = 250 dollars
What Is the value of x?
A: x = 2.25
B: x = 11.25
C: x = 13
D: x = 22
Step-by-step explanation:
I have shown all the steps of obtaining the value of X in the picture above therefore the value of x is 22 which means the answer iisD
Diane has $12 to spend on a mixture of green and red grapes. What equation can she use to graph a line showing the different amounts of green and red grapes she can buy for $12. Green grapes cost $3/lb and red grapes cost $2/lb.
Answer:
y ≥ [tex]\frac{3}{2}[/tex]x + 6
Step-by-step explanation:
12 ≥ 3x + 2y
Money available ≥ cost of green grapes + cost of red grapes
To turn this into slope-intercept form,
12 ≥ 3x + 2y
2y ≥ -3x + 12
y ≥ [tex]\frac{3}{2}[/tex]x + 6
Graphed - see attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
I NEED HELP please, take 50 points if you answer It and a 50/50 at a brainiest.
"The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario.
Which graph represents this wage increase for x < 12?"
-normally I'd just double-check this but. . . you get it.
Red dots are starting co-ordinates and whites are ending co-ordinates .
So the graph must have red dots at the start of line and not mandatory for at the end of line.
x<12It should not be at end
Check option B
x ends at first point .And also the interval is 2
so Option B is correct
A rectangle of dimensions 60 units x 40 units is drawn on grid paper with vertices in
the nodes of the grid. A cell of the grid is 1 unit * 1 unit. A diagonal of the rectangle is
drawn. How many cells have been cut into two (not necessarily equal) parts?
The number of cells which have been cut into two parts is approximately ; 72 units
According to the question;
The rectangle has dimensions 60 units x 40 units.Provided a cell of the grid is 1 unit * 1 unit.
When a diagonal of the rectangle is drawn;
The number of cells which have been cut into 2 pieces is the length of the diagonal of the rectangle.
Diagonal, D² = 60² + 40²D² = 3600 + 1600D² = 5,200D = √5200D = 72.11 unitsRead more;
https://brainly.com/question/20054245
Answer: 80
see attached
Step-by-step explanation:
If you do a 3x2 units, and draw a diagonal line, you'll see 4 units are cut. because it's 60x40, then means BOTH lengthwise & widthwise you'll repeat 20 times, so 20*4 units = 80 units.
based on the information in the table is the cost of the pizza proportional to the number of toppings?
Which equations are true equations?
Select all correct answers.
62−22=4+7⋅22
54 ÷ 6 + 3² = 4 + 4²
8042=10−22−1
19−2⋅5=9⋅73−9
We want to see which ones of the given equations are true equations. Here we will see that the only true equation is the second one:
54 ÷ 6 + 3² = 4 + 4²
We define a true equation as an equation where the thing at the left is equal to the thing on the right, so we need to check that for all the given equations.
1) 62 − 22 = 4 + 7⋅22
We just solve each side, we will get:
40 = 158
This is not a true equation.
2) 54 ÷ 6 + 3² = 4 + 4²
9 + 9 = 4 + 16
18 = 18
This is a true equation.
3) 8042 = 10 − 22 − 1
Clearly, this is not a true equation.
4) 19 − 2⋅5 = 9⋅73 −9
19 - 10 = 657 - 9
9 = 648
This is not a true equation.
Then the only true equation is the second one:
54 ÷ 6 + 3² = 4 + 4²
If you want to learn more, you can read:
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How do you solve for x?
2(x - 3)^2 - 32 = 0
[tex] \: \: \: \: \: \: \: \: [/tex]
[tex]x = - 1 \\ x = \: 7[/tex]
Step-by-step explanation:
[tex]2(x - 3 {)}^{2} - 32 = 0[/tex]
divide both sides[tex](x - 3 {)}^{2} - 16 = 0[/tex]
use a²- b² =(a - b ) (a + b) to factor the expression[tex](x - 3 - 4) \times (x - 3 + 4) = 0[/tex]
calculate the difference and the sum[tex](x - 7) \times (x + 1) = 0[/tex]
when the product of factors equals 0 ,at least one factor is 0[tex]x - 7 = 0 \\ x + 1 = 0[/tex]
solve the equation for x[tex]x = 7 \\ x + 1 = 0[/tex]
the equation has 2 solutions[tex]x = - 1 \\ x = 7[/tex]
hope it helps[tex] \: \: \: \: \: \: \: [/tex]
I’m really bad at math please help me
Two numbers have a sum of 24 and a difference of 5. Use and algebraic method to find the two numbers.
Step-by-step explanation:
x, y are the 2 numbers
x + y = 24
x - y = 5
x = y + 5
and that in the first equation
y + 5 + y = 24
2y = 19
y = 9.5
x = y + 5 = 9.5 + 5 = 14.5
the 2 numbers are 9.5 and 14.5.
When William had one cat, he needed to serve 1/8 of a can of cat food each day. Now that William has adopted a second cat, he needs to serve a total of 2 7/8 cans each day. How much extra food is needed to feed the second cat?
Mahmoud uses 3 cups of apple juice for every 4 cups of cranberry juice
.
to make a fruit drink.
a
How many cups of apple juice does Mahmoud use for 21 cups of the
combined fruit drink?
Answer:
9 cups of apple juice
Step-by-step explanation:
Mia bought 6 pounds of bananas for $3.54. How much does 1 pound of bananas cost?
Answer:
$0.59
Explanation:
$3.54 divided by 6 is $0.59. This concludes that 1 pound is $0.59. Hope this helps!
The cost of 1 pound of banana will be $0.59 per pound.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Mia bought 6 pounds of bananas for $3.54.
The cost of 1 pound of banana is given by the division of the total cost for 6 pounds and 6. Then we have
⇒ $3.54 / 6
⇒ $0.59 per pound
The cost of 1 pound of banana will be $0.59 per pound.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Solve. −4x−21=91 Enter your answer in the box. x =
Answer:
X = -27
Explain your answer:
Answer:
x = -28
Explanation
K12
If -2 - 4x = -8x + 3x,
then what is X-2?
Answer:
-0.8
Step-by-step explanation:
-2 -4 = -8x + 3x
-6 =-5x
x = 1.2
so x-2 =
1.2 -2 = -0.8
There are 377 toys that Janet collected at the carnival. She wants to put them in 12 bags. After she splits them into bags, how many toys does she have left to give to her little brother?
Answer:
D. 31 toys
Step-by-step explanation:
377 ÷ 12 =
31.41666666666667
377 toys
12 bags
to find:how many toys she'll have left to give her little brother.
solution:[tex] \frac{377}{12} [/tex]
[tex] = 31.4166666667[/tex]
[tex]nearest \: whole \: number = 31[/tex]
hence, she'll have 31 toys left to give her little brother.
answer= option D
what is (x-2) (3x-4)=
a.3x² - 6x-8
b.3x² - 2x - 8
c.3x² + 10x + 8
d.3x² - 10x + 8
Answer:
D. 3x^2-10x+8
Step-by-step explanation:
[tex] \: \: \: \: \: [/tex]
D. 3x²- 10x + 8hope it helps
refer to the attachment
[tex] \: \: \: \: \: [/tex]
Which of the numbers below is greater than 0.75? Select all that apply. A) 32 B) −0.5 C) 1.2 D) −14 E) −2.4
Answer:
A and B
Step-by-step explanation:
becuz