Answer:
x
4
−5x
2
+4
To factor the expression, solve the equation where it equals to 0.
x
4
−5x
2
+4=0
By Rational Root Theorem, all rational roots of a polynomial are in the form
q
p
, where p divides the constant term 4 and q divides the leading coefficient 1. List all candidates
q
p
.
±4,±2,±1
Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.
x=1
By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x
4
−5x
2
+4 by x−1 to get x
3
+x
2
−4x−4. To factor the result, solve the equation where it equals to 0.
x
3
+x
2
−4x−4=0
By Rational Root Theorem, all rational roots of a polynomial are in the form
q
p
, where p divides the constant term −4 and q divides the leading coefficient 1. List all candidates
q
p
.
±4,±2,±1
Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.
x=−1
By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x
3
+x
2
−4x−4 by x+1 to get x
2
−4. To factor the result, solve the equation where it equals to 0.
x
2
−4=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. Substitute 1 for a, 0 for b, and −4 for c in the quadratic formula.
x=
2
0±
0
2
−4×1(−4)
Do the calculations.
x=
2
0±4
Solve the equation x
2
−4=0 when ± is plus and when ± is minus.
x=−2
x=2
Rewrite the factored expression using the obtained roots.
(x−2)(x−1)(x+1)(x+2)
Which equation best models the data shown in the scatter plot?
In the graph of scatter plot, the range of the x axis is minus four to four by increment of one and the range of the y axis is minus seven to one by increment of one. On the x axis minus four, minus two, two, and four are labeled. On the y axis minus six, minus four, and minus two are labeled. On the graph, there are points at (-0.5, -7), (0, -5), (0.5, -4), (1, -3), (1, -1), and (2, 1).
A. y = x − 3
B. y = x − 5
C. y = 3x − 3
D. y = 3x − 5
Answer:
The correct option is;
D. y = 3·x - 5
Step-by-step explanation:
From the graph of the scatter plot created with Microsoft Excel, we have that the first and the last point describe a line of best fit, (with trend line equation included) therefore, we have;
The slope = (1 - (-7))/(2 - (-0.5)) = 3.2
Taking the slope of the line of best fit as approximately equal to 3, we have;
3.2 ≈ 3
The equation of the line in point and slope form is therefore;
y - 1 = 3 × (x - 2)
y = 3·x - 6 + 1
∴ y = 3·x - 5
Answer:
D
Step-by-step explanation:
PLEASE ANSWERRRR!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!!
The scatterplot for a set of data points is shown. Choose the BEST estimate for R, the correlation coefficient.
Have a good day!!
I would say (1.7, 2.5) would be best for R (im pretty sure its where the blank is at lol)
btw I like your pfp :D
Convert standard form 4x-2y=6
Answer:
4x(-2)x(-2)=6
Help please!!! Math, look at the picture. When you click the pic it's clearer
Answer:
radius: 4.2 cm
circumference: 26.376 cm^2
area: 55.3896 cm^2
Step-by-step explanation:
radius is half the diameter so 8.4/2 = 4.2
circumference: C = (2)(pi)(r) ---> (2)(3.14)(4.2) --> 26.376
area: (pi)(r ^2) --> (3.14)(4.2^2) --> 55.3896
MS.Robertson owns a large daycare center. she is required to have 1 supervisor for every 4 trainees. if she currently has 2 supervisors and 20 traineess what is the minimun number of additional supervisors she most hire?
Answer:
She needs a minimum of 5 supivisors.
Step-by-step explanation:
Answer: this isn’t my solution/ your question but I think this can help. All you have to do is substitute the information here for your information.
Hopefully this helps
MS. Candos has 90 invitations to hand out. she will hand out 42 of them the rest will be handed out by 6 students how many got handed out an equal number if invitations
Brainliest if correct please help
Answer:
it is F
Step-by-step explanation:
carrots and beans combined is 11 and corn is 11
find the solution to the following system using substitution or elimination:
y = 3x + 2
y = -2x - 8
A. (-2, -4).
B. (-3/5, -34/5).
C. (-6/5, -8/5).
D. (1, 6)
Answer: A
Explanation:
Just use substitution because it's more efficient. Plug -2x-8 into y to make -2x-8=3x+2. Add 8 to both sides to get -2x=3x+10. Subtract 3x to both sides to get -5x=10. Divide -5 to both sides to get x=-2. Now, plug in x=-2 to one of the equations, let's use y=3x+2. The equation would be y=3(-2)+2. Multiply 3 and -2 to get -6. Add -6 to 2 and you'll result with y=-4.
plz help i need help im failing
Answer: It is D
Step-by-step explanation:
It is the 4th table
For x and y values to be a function, it must pass the vertical line test. This means that for every y value, there must be a different x value, or there can be two y values for one x value.
what is (-4) + 3 + (-5)
Answer:
-6
Step-by-step explanation:
-4 + 3 = -1
Add -1 to -5
-6
Hope this helps :)
Answer:
-6
Step-by-step explanation:
its addition so u can move them around due to (addition property)
so i took (-4) plus (-5) and got (-9)
then took (-9)+3 and got (-6)
Find the slope-intercept equation of the line.
Need the equation
Plz help not jus the answer
Answer:
y=-3x+5
Step-by-step explanation:
Answer is Y=-3x+5
Answer:
y = -1/2x + 5
Step-by-step explanation:
First, we need to find the slope. Slope is nothing but the height of the triangle over the length of the triangle. Since the height is 5 is the length is 10, the slope should be 5/10. But, since the line is slanting downwards, the slope is negative. So it is -5/10, or -1/2 when simplified. Next, we need to find the y intercept. Y intercept is nothing but where the line crosses the y axis, so the y intercept should be 5. The slope intercept is y = mx+b, where m is the slope and y intercept is b, so our equation should be y = -1/2x + 5.
The reason that we are not counting the individual squares is because they already labeled the graph. So, we have to count accordingly.
it is given that x+4 is a factor of p(x)=2x³+3x²+ax-12.When p (x) is divided by x-1 the remainder is b.Show that a=-23 and find the value of the constant b
Answer:
Thanks for the points
Write the equation for the following:
m = 6.5; (0, 3) (Write in the form of y=mx+b with NO spaces!)
EQUATION:
Answer:
y= 6.5x+3 is the equation
Help emnenenememmeemmenenedudhshs
Use inductive reasoning to find the next two terms in the sequence:
400, 200, 100, 50, ______, ______
Holly needs to buy some cloth. The following deals are available at various stores. Choose the best deal.
$16.52 per 6 yd
$13.85 per 5 yd
a
$16.52 for 6 yd
b
$13.85 for 5 yd
c
Neither
Answer:
It's A
Step-by-step explanation:
hope the pic helps b/c you deleted my last answer so i hope this is more of use to you :)
Tyler's brother earns $12 per hour. The store offers him a raise - a 5% increase per hour. After the raise, how much will Tyler's brother make per hour?
Answer: $12*0.05=$0.60. Then, add this amount to his current hourly rate. So he now makes $12.60.
Maeve has 40 cups of apple juice. She uses 5/8 of the juice to make punch. She then uses the remaining juice to pour single servings that are 1/5 cup each. How many single servings does Mandy pour?
Answer:
75 single servings
Step-by-step explanation:
First multiply
40*5/8
You’ll get 25
now 40-25=15
Using 15
15 divided by 1/5
15÷1/5
keep change flip
15*5
75
Answer:
75 servings
Step-by-step explanation:
1. Form an equation
As per the given information;
- starts with 40 cups of juice
- uses 5/8 of the juice
-Splits the remaining serving amongst people, giving each person (1/5) of a cup
Hence the equation is;
(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]
2. Solve the equation
(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]
Simplify;
(40 - 25) ÷ [tex]\frac{1}{5}[/tex]
Dividing by a fraction is the same as multiplying by the fraction's reciprocal;
(40 - 25) * 5
Follow the order of operations, remember the order of operations are;
1. parenthesis
2. exponents
3. multiplication, division
4. addition, subtraction
Parenthsis first
(40 - 25) * 5
15 * 5
Multiply next
15 * 5
75
what is 3 divided by 1/6?
Answer:
18
Step-by-step explanation:
Answer:
The correct answer is 18
Step-by-step explanation:
HAVE A GOOD DAY!
FREUUUUUU POINTS +brainlest
Answer:
:P
Step-by-step explanation:
Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−3x
2
−6
HELP ME PLEASE DON’T STEEL MY POINT
What is the product of:
200 x 32.6.
Answer:
6,520
Step-by-step explanation:
Because that is the answer when you multiply them together.
Answer:
6,520
Hope this helps!
C
L 6.1.3 Quiz: Exponents
Question 4 of 10
Which of the following is equal to divide 9•4
Answer:
36 ÷ 9= 4
Step-by-step explanation:
9 x 4= 36
The division equation for this is 36 ÷ 9= 4
The product of the expression 9 and 4 is 36.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Give that we have to multiply 9 with 4.
This means that 9 has to be added repeatedly up to 4 times or 4 has to be added repeatedly up to 9 times.
In both cases, the product must be the same.
9 multiplied by 4 = 9 + 9 + 9 + 9
Which is also equal to,
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4
= 36
Hence the product is 36.
Learn more about Multiplication here :
https://brainly.com/question/19943359
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Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.
Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning.
Answer:
Diego is correct, he should move back one space.
Step-by-step explanation:
If every 5th customer gets a free bagel then you should be able to count up by 5s to figure out which people get the bagel. (5, 10, 15, etc.)
It would be the same for 9 and 12 (9, 18, 27, etc.) (12, 24, 36, etc.).
However, 23 is not divisible by 5, 9, or 12 (I moved on to division because it's the fast way to check)
But if you look at the multiples of 12 then you'll see that the 24th person would get a prize.
So, Diego should go back one space in order to get a prize because 23 is not a multiple of 5, 9, or 12. However, 24 is a multiple of 12.
Hope this helps and makes sense.
The distances traveled by car A car Afx x hours. are. represented by the graph and table below.
Answer: b
Step-by-step explanation:
The speed of car B is twice the speed of car A.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
For car A,
Time= 5 hours
Distance = 200 miles.
speed= 200/5
speed= 40 mph
and, In car B
Time= 6 hours
Distance= 480 miles
speed= 480/6
speed= 80 mph
Hence, the speed of car B is twice the speed of car A.
Learn more about proportion here:
https://brainly.com/question/26974513
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18.
The perimeter of a rectangle is 42 inches. The length of the rectangle can be represented by x + 4 and its width can be represented by 2x minus 7. What is the width of the rectangle in inches?
8
9
12
10.3
p=2(l+b) =2(3x-3) =6x=48=x=8
Answer: It’s 8
Step-by-step explanation:
Given: AC = 40. Fill in the reason that justifies each step.
(4x+4)+(5x)=(40)
9x + 4 = 40
9x = 36
x = 4
Will give brainliest
Answer:
True, every step that was done is correct.
Step-by-step explanation:
Since that whole line of AC equals 40, and that (4x+4)+(5x) also equals the whole line, you can just do it this way: (4x+4)+(5x)=40 Solve for x and x will equal 4. I even used an algebra calculator to solve for x and the calculator indeed said that x=4 (the image is shown below on the calculator I used to solve for x).
Hope this helped! :)
The amount of money you earn varies directly to the number of pizzas you sell. If you earn $44 for selling 8 pizzas, How many pizzas do you need to sell to earn $132?
1: Set up an equation
2:Solve the problem.
Answer:
You would need to sell 24 pizzas
Step-by-step explanation
132/44= 3
Take the 3 and times it by 8
3 x 8 = 24
You would need to make 24 pizzas
Each pizza is 5.50$
So an equation for this could be
5.50x P = C
P = Pizza
and C is the cash you earned
I hope this helps
please help me please
Answer:
6x-3
Step-by-step explanation:
Let f(x) = x, and x=f(x) .
Re arrange to find formula. I.e
[tex] x = \frac{f(x) + 3}{6} \\ 6x = f(x) + 3 \\ f(x) = 6x - 3[/tex]