Thus 16:8 and 2:1 are equivalent.
→ 16:8
divide both by 8
[tex]\rightarrow \sf \dfrac{16}{8} :\dfrac{8 }{8}[/tex]
simplify
→ 2 : 1
Answer:
Yes! Because they are in proportion: 1x8 = 8, 2x8 = 16 therefore, 2:1 and 16:8 are equivalent. Similar to equivalent fractions - you need to multiply both numbers by the same number.
Step-by-step explanation:
If you need further help, feel free to let me know. I noticed you've posted 2 of the same type of questions - is there anything you are confused about?
Which of the following is the complete list of roots for the polynomial function f (x) = (x squared + 6 x + 8) (x squared + 6 x + 13)?
[tex]( {x}^{2} + 6x + 8)( {x}^{2} + 6x + 13) =0 \\ [/tex]
_________________________________
[tex] {x}^{2} + 6x + 8 = 0 [/tex]
[tex](x + 2)(x + 4) = 0[/tex]
##############################
[tex]x + 2 = 0[/tex]
[tex]x = - 2[/tex]
##############################
[tex]x + 4 = 0[/tex]
[tex]x = - 4[/tex]
_________________________________
[tex] {x}^{2} + 6x + 13 = 0 [/tex]
[tex]∆ = {b}^{2} - 4ac [/tex]
[tex]a = coefficient \: \: of \: \: {x}^{2} = 1 [/tex]
[tex]b = coefficient \: \: of \: \: x = 6[/tex]
[tex]c = the \: \: alone \: \: number \: = 13 \\ [/tex]
Thus ;
[tex]∆ = ({6})^{2} - 4 \times (2) \times (13) [/tex]
[tex]∆ = 36 - 104[/tex]
[tex]∆ = - 68[/tex]
=======================================
Point :
Remember from now on ,
In quadratic functions ;
if :
[tex]∆ > 0[/tex]
The function has two roots
if :
[tex]∆ = 0[/tex]
The function has just one root
if :
[tex]∆ < 0[/tex]
The function doesn't have any root.
=======================================
Thus , ( x² + 6x + 13 ) doesn't have any root.
So ; ( x = - 2 ) & ( x = - 4 ) are the only roots.
_________________________________
And we're done....♥️♥️♥️♥️♥️
Answer:
c)-2,-4,-3+2i,-3-2i
Step-by-step explanation:
edge2020
Five pounds is equal to 2.268 kilograms. How many kilograms is 2 pounds?
Please hurry
Answer:
2 pounds = 0.9072 kilograms
Step-by-step explanation:
Answer:
it is b
Step-by-step explanation:
6x-4 and 6(x-4) *
A: Yes, they are equivalent
B: No, they're not equivalent
Answer:
yes they are equivalent
What is the solution for the equation?
a+ 8/3= 2/3
Answer:
a=-2
Step-by-step explanation:
Round 56,650,243 to the nearest ten million
Answer:
57,000,000
Step-by-step explanation:
57,000,000
find angle b show your work
Answer:
42°
Step-by-step explanation:
The angle measure of 295° just means we are working with a circle.
A circle totals to 360°.
If we add what we are given; 295 + 23 = 318°
We have the total angle measure we are given and "b" which we need to solve.
We can subtract 360 by what we are given to find angle "b"
360 - 318 = 42°
Best of Luck!
2 MULTIPLE CHOICE EASY!! In July, Ariel recorded the height of a pine tree and how quickly it was expected to grow in the next several months.
1. 14$ or 12$ ??
2. $4.50 or $5.50
3.
Y= 4.5X + 22
or
Y= 4.5X +12
Answer:
3
Step-by-step explanation:!!
If the value the discriminant is exactly 0, what is true about the graph of the quadratic equation?
The truth about the graph of the quadratic equation would be the vertex of the parabola connects the x-axis when the value of the discriminant is exactly zero.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
When discriminant D of a quadratic equation,
D = 0
Roots are equal and real
D > 0
Roots are real and different
D < 0
Roots have not existed.
When the discriminant is zero, there is only one real root to the quadratic equation. In other words, only the vertex of the parabola connects the x-axis. The vertex is the parabola's base.
Therefore, the truth about the graph of the quadratic equation would be the vertex of the parabola connects the x-axis when the value of the discriminant is exactly zero.
Learn more about quadratic function here:
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The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.
Cara's Flower Arrangements
White
6 9 12
Yellow 5 10
20
3
15
15
25
White
Hector's Flower Arrangements
4
8 12 16
6 10 14 18
20
Yellow
22
Part A
Are the numbers of white and yellow flowers in Cara's arrangements proportional?
Which equation relates the number of white flowers, w, to the number of yellow flowers, y?
А.
В.
C. No: y = 3 + 5w
D. No: y = 5+ 3w
00.00
Part B
Are the numbers of white and yellow flowers in Hector's arrangements proportional?
Write an equation to relate the number of white flowers, h, to the number of yellow flowers, e.
A
Yes, e
Answer:
Part A - Yes; y=5/3w Part B - No; e=h+2
Step-by-step explanation:
The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.
Cara’s Flower Arrangements Proportional
White 3 6 9 12 15
Yellow 5 10 15 20 25
Hector’s Flower Arrangements Not Proportional
White 4 8 12 16 20
Yellow 6 10 14 18 22
Part A
Are the numbers of white and yellow flowers in Cara’s arrangements proportional?
Which equation relates the number of white flowers, w, to the number of yellow flowers, y?
Yes; y=3/5w
Yes; y=5/3w CORRECT ANSWER
No; y=3w+5w
No; y=5+3w
Part B
Are the numbers of white and yellow flowers in Hector’s arrangements proportional?
Which equation relates the number of white flowers, h, to the number of yellow flowers, e?
Yes; e=3/2h
Yes; e=2/3h
No; e=h+2 CORRECT ANSWER
No; e=h−2
They are correct because Part A is 1.666667 thats more than 1 so it cant be the first, and Part B, its the White flowers plus 2 to be Yellow flowers, not -.
Following are the solution to the given question:
Using the proportionate connection theory to model these two tables, we may conclude the first table is proportionate whereas the second is not.Clara's configuration:[tex]\bold{White (w) }\\\\\bold{Yellow (y)}[/tex]
To determine whether a relationship is proportionate, perform the following tests:[tex]\bold{y = kw } \\\\\bold{5 = 3k}[/tex]
Yes, there seems to be a proportional relationship. Hector's set-up is as follows:[tex]\bold{White (h) }\\\\\bold{Yellow (e)}\\\\[/tex]
The number of yellow flowers always out-numbers the number of white blooms by a factor of 2. As a result, the relationship could be modeled as follows;[tex]\to \bold{e = h + 2}[/tex]
As a result, the relationship is not proportionate.Learn more:
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I really need help please.Write the equation of the line that passes through the points (-4,2) and (-7,-7) show all your work below
Answer:
y=3x+14
Step-by-step explanation:
Calculate the slope from 2 points.
Substitute either point into the equation.
Solve for b, which is the y-intercept of the line.
Substitute b, -1, into the equation from step 2.
hope it helps
If a translation is described as (x -5, y), how has the original image changed?
Answer:
It moves the x value 5 units to the left.
Step-by-step explanation:
"x - 5" means that we are subtracting 5 to whatever x value we are given. The "y" value doesn't change.
Since we are subtracting to the x value, we are going to move left 5 units.
Let's say we had the point (5, 5).
If we use the translation rule;
(5 - 5, 5)
(0, 5)
We moved the x value 5 units to the left.
Best of Luck!
Rakim charges $2 per hour for tutoring plus a $7 fee.
Joan charges a $3 fee plus $4 per hour.
When will their tutoring fees be the same (aka equal)
How many hours of tutoring will occur before the fees are the same?
How much has each person been paid in tutoring fees?
Answer:
after 2 hours, they will have the same fee.
they will have been payed 11$
Step-by-step explanation:
if you say h = hours of tutoring,
Rakim charges 7 + 2h
Joan charges 3 + 4h
since you want them to be the same, you can write the following equation:
7 + 2h = 3 + 4h
subtract 2h from each side
7 = 3 + 2h
subtract 3 from each side
4 = 2h
divide both sides by 2.
h = 2
after 2 hours, they will have the same fee.
they will have been payed 11$
"they will have been payed" ah yes the grammar.
Do these pairs of values (x and y) represent two quantities that are
proportional?
A. Yes, because as x increases, y increases.
B. No, because not all of the pairs represent the same ratio.
C. Yes, because the ratios į and i are equal.
O D. No, because not all of the pairs are simplified ratios.
Answer: B) No, because not all of the pairs represent the same ratio
For each row, divide y over x
Row 1: y/x = 5/3 = 1.67 approximately
Row 2: y/x = 7.4 = 1.75
Row 3: y/x = 10/6 = 1.67 approximately
Row 4: y/x = 15/9 = 1.67 approximately
We see that row 2 has a ratio different from the others. If we were able to ignore this row, then the answer would be "yes x and y are proportional". However, we cannot ignore this row so that's why the answer is choice B.
We want to see if the relationship between x and y is proportional or not.
We will see that the correct option is B:
"No, because not all of the pairs represent the same ratio."
Let's see how to solve this.
First, a proportional relationship is something of the form:
y = k*x
Where k is the constant of proportionality.
So to see if the relationship between x and y is proportional, we can input the pairs on the general proportional relationship.
For the first pair, we have x = 3 and y = 5, then:
5 = k*3
Now we can find the value of k:
k = 5/3 = 1.667
Now let's do the same for the second pair of points, we should get the same constant of proportionality.
7 = k*4
k = 7/4 = 1.75
So we got different constants of proportionality for two different x-y pairs, thus, the relationship is not proportional.
Because k is defined as the ratio between y and x, we can say that the relationship is not proportional because not all of the pairs represent the same ratio.
Thus the correct option is B.
If you want to learn more, you can read:
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HELPPPP!!! pleaseeeeee Describe the transformation of F(x)=x2 represented by g
Answer:g(x)=x-2+2
Step-by-step explanation:
Kid
can someone pls help with this brainliest gets answer
Answer:
1. True; 10, 20, 50, 100, 1210 are all divisible by 10.
2. True; prime numbers: 2, 3, 5, 7, 11, 13. Only 2 is even.
3. False; 144 is a perfect square and has 15 factors.
4. False; x = 9 in this equation, so x = 4 is false.
Write the number in expanded form: Three hundred twenty-six thousand, five hundred eight and nine hundredths?
Answer: 300,000 + 20,000 + 6,000 + 500 + 8 + 0.09
The required expanded form of three hundred twenty-six thousand, five hundred eight and nine hundredths, 300,000 + 20,000 + 6,000 + 500 + 80 + 0.09.
Given that,
To determine the expanded form: Three hundred twenty-six thousand, five hundred eight and nine hundredths.
A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
Three hundred twenty-six thousand, five hundred eight and nine hundredths = 326580.09
The expanded form of a number is the sum of the digit with the intrinsic value of the digit placed in the number,
Expanded form = 300,000 + 20,000 + 6,000 + 500 + 80 + 0.09.
Thus, the required expanded form of three hundred twenty-six thousand, five hundred eight and nine hundredths, 300,000 + 20,000 + 6,000 + 500 + 80 + 0.09.
Learn more about the number system here:
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is 19 and 95 co-prime
Answer:
No
Step-by-step explanation:
19 is a prime number but 95 is not.
95= 1x95
5x19
Step-by-step explanation:
19 is a prime number. Factors of 19 up to 100 are 19, 38, 57, 76, 95. ... Thus, there are 95 co-prime numbers to 19 exists between 1 and 100.
fill in the blank to make the equation have infinite solutions
0.01(450x+900)=___x+9
What is the coefficient of
the term of degree 6 in the
polynomial below?
3x^2 – 14x^6 + 6x^3 + 12x +
5x^5
Answer:
14
Step-by-step explanation:
The coefficient is the number before the degree. In this equation, it looks to be that the number before the 6th degree is 14.
math question please help!!!
Answer:
i think it c
Step-by-step explanation:
sorry if i wrong
a = 6, b = 3 and c = 2:
2(a + b) – c = ______
Answer: 16
Step-by-step explanation:
2(6+3)-2
12+6-2
18-2
16
Evaluate the expression when a = 6, b = 3 and c = 2:
2(a + b) – c = ______?
Answer:
16
Step-by-step explanation:
2(6+3)-2 = 2(9)-2 = 18-2 = 16
What is the selling price of a $610 couch with a 25% markup?
a. $152.5b. $762.5c. $457.5d. $798.5
pls answer quickly ! :(
Answer:
762.5
Step-by-step explanation:
25% of 610 is 152.5 and 610 + 152.5 is 762.5
Hope this helped also can i get brainliest?
what is the factor of 6a2 – 19a + 10 ???
Answer:
(2a - 5) • (3a - 2)
step by step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 6 • 10 = 60
Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -19 .
-60 + -1 = -61
-30 + -2 = -32
-20 + -3 = -23
-15 + -4 = -19 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -4
6a2 - 15a - 4a - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
3a • (2a-5)
Add up the last 2 terms, pulling out common factors :
2 • (2a-5)
Step-5 : Add up the four terms of step 4 :
(3a-2) • (2a-5)
Which is the desired factorization
Final result :
(2a - 5) • (3a - 2)
Answer:
(2a-5) (3a-2) is your correct answer.thank you ☺️☺️
the equations above define w and z in terms of a. What is 2wz in terms of a?
w=a+2
z=a
Work Shown:
2wz = 2*(w)*(z)
2wz = 2*(a+2)*(z) .... replace w with a+2
2wz = 2*(a+2)*(a) ... replace z with a
2wz = 2a(a+2)
2wz = 2a(a) + 2a(2) .... distribute
2wz = 2a^2 + 4a
The value of 2wz in terms of a is equal to [tex]2wz=2a^{2} +4a[/tex]
To understand more, check explanation below.
Linear equation:The equation is given as,
w = a +2 and z = a
We have to find 2wz.
[tex]2wz=2*w*z\\\\2wz=2*(a+2)*a\\\\2wz=2(a^{2}+2a )\\\\2wz=2a^{2} +4a[/tex]
The value of 2wz in terms of a is equal to [tex]2wz=2a^{2} +4a[/tex]
Learn more about the linear equation here:
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Bruno uses a piece of wrapping paper with dimensions 1 and one-fourth feet by 3 feet to wrap a gift. What is the total area of the paper used to wrap the gift?
Answer:
Its 3 3/4 or D
Step-by-step explanation:
Just in case you didn’t understand answer above
Marcus is making homemade barbecue sauce.The recipe caps for 3 cups of ketchup for every 1/2 cup of mustard
Answer:
3 divided by 1/2
Step-by-step explanation:
turn 3 into 3/1 then flip 1/2 into 2/1 and multiply which is 6
Kcf
Keep
Change
Flip
PLEASE HELP! Mr. Jones is renovating his backyard, which includes extending his patio. The design drawn by his landscaper use a scale of 1 inch=3.5 feet. If the patio is 5 inches long on the diagram and the orginal patio is 9 feet long, by how many feet is he extending it?
Answer:
8.5 ft I believe
Step-by-step explanation:
1 in=3.5 ft, so 5in=5(3.5)= 17.5 ft
17.5-9=8.5 ft
Suppose that under your health insurance policy, hospital expenses are subject to a $750 deductible and $150 per day copay. You get sick and are hospitalized for 4 days, and the bill (after your insurance discounts are applied) comes to $6,250. How much of that hospital bill will you have to pay yourself?
Answer:
$4900
Step-by-step explanation:
It is given that,
According to health insurance policy, hospital expenses are subject to a $750 deductible and $150 per day copay.
If a person hospitalized for 4 days, it would mean that charges will be ($150 × 4 = $600 per day).
Total amount given by insurance policy = $750 + $600 = $1350
The bill for 4 days come out to be $6,250.
The person have to pay ($6,250-$1350) = $4900 itself.
What is the inverse of the function y - 2 = 3x?
Answer:
I think the answer is y=[tex]\frac{x-2}{3}[/tex]
Step-by-step explanation: