Hi. I need help with these questions.
See image for question.
Answer 16 and 17
Answers
Step-by-step explanation:
16.................................................
GivenEquation ax² + bx + c = 0One of the roots is twice the otherTo findShow that 2b² = 9acSolutionLet the roots be p and q
The sum and product of the roots:
p + q = -b/apq = c/aThe sum of the roots, considering p = 2q,
p + q = 2q + q = 3qAnd
3q = -b/a ⇒ q = -b/(3a)The product of the roots, considering p = 2q:
pq = 2q(q) = 2q²And
2q² = c/aSubstitute q with -b/(3a)
2(-b/(3a))² = c/a2b²/(9a²) = c/a2b² = 9a²(c/a)2b² = 9ac=================================================
17. .................................................
GivenQuadratic equation
ax² = bx + c = 0, with equal rootsTo findShow that b² = 4acSolutionEqual roots means the discriminant is zero:
D = √b² - 4ac√b² - 4ac = 0b² - 4ac = 0b² = 4acRelated Questions
0.4(5x-15)=2.5(x+3) is this a infinite solution or one solution or no solution
Answers
Answer:
One solution
Step-by-step explanation:
The slope and y-intercept is different on both sides
The given equation has one solution which is the variable x = -27.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that is equal.
The equation is given in the question,
0.4(5x – 15) = 2.5(x+3)
Multiply both sides by 10
0.4(5x – 15) × 10=25(x+3) × 10
Refine
4(5x–15) =2.5(x+3)
Expand 4(5x-15): 20x-60
Expand 25(x+3): 25x+75
20x-60 = 25x+75
Add 60 to both sides
20x-60+60 = 25x+75 +60
Simplify the above equation,
20x=25x+135
Subtract 25x from both sides
20x-25x = 25x+135-25x
-5x = -135
Divide both sides by -5
-5x / -5 = -135/5
x = -27
Therefore, the given equation has one solution which is the variable x = -27.
Learn more about equations here:
brainly.com/question/10413253
#SPJ2
Cross multiplication;
2/3 5/6
Do u just multiply 6 and 2, & 3 and 5????
Answers
Answer:
[tex]2 \div 3 \times 5 \div 6 \: = 10 \div 18[/tex]
We just have to multiply not cross multiply,
10/18
Now, divide the equation
5/9 will be ur answer
Answer:
No
Step-by-step explanation:
[tex]\frac{2}{3} \frac{5}{6}[/tex]
2 goes into 6 3 times so it would be the same as 1 going into 3 3 times.
[tex]\frac{1}{3} \frac{5}{3}[/tex]
Since 3 doesn't go into 5 at all (and by that I mean a whole number) you don't change it.
Multiplying 1/3 and 5/3, you would get 5/9.
Multiplying 2/3 and 5/6, you would get 10/18, which simplifies to 5/9.
That is kind of how cross multiplying works.
Translate the sentence into an equation
The sum of 4 times a number and 6 is 5
Use b as the unknown number
Thank you!!
Answers
i need help-.. like fast please
Answers
If 8x – 4 = 6x – 10, find the value of 3x.
Answers
Answer:
-9
Step-by-step explanation:
8x-4=6x-10
2x-4=-10
2x=-6
x=-3
-3x3= -9
Solve the following compound inequality.
A.
B.
C.
D.
Answers
Answer:
c is the answer
Step-by-step explanation:
5x+7 ≤ -3
-7
5x ≤ -10
/5
x ≤ -2
Answer:
C
Step-by-step explanation:
We have the compound inequality:
[tex]5x+7\leq-3\text{ or } 3x-4\geq11[/tex]
We will solve each inequality individually and then combine them at the end.
For the first inequality, we have:
[tex]5x+7\leq-3[/tex]
Subtract 7 from both sides:
[tex]5x\leq-10[/tex]
Divide both sides by 5:
[tex]x\leq-2[/tex]
For the second inequality, we have:
[tex]3x-4\geq11[/tex]
Add 4 to both sides:
[tex]3x\geq15[/tex]
Divide both sides by 3:
[tex]x\geq5[/tex]
Since our original inequality was an “OR,” our solution set is also an “OR.”
Hence, our solution is:
[tex]x\leq-2\text{ or } x\geq5[/tex]
Thus, our answer is C.
Uhhh help please i cant do this rn im stuck
Answers
Answer:
i think its -2/1
slope= rise/run
The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.
Prime factorization of 48: 2, 2, 2, 2, 3
Prime factorization of 72: 2, 2, 2, 3, 3
The greatest common factor is 2 ´ 2 ´ 2 ´ 2 ´ 3 ´ 3.
What is Ryan’s error?
Ryan did not include all the common factors in the greatest common factor.
Ryan did not list all the factors in the prime factorization of 48.
Ryan did not list all the factors in the prime factorization of 72.
Ryan found the least common multiple.
Answers
Answer:
Ryan found the least common multiple.
Step-by-step explanation:
(See attached for reference on LCM and GCF)
The method he used is to find the LCM
in this case the GCF should have been
2*2*2*3 = 24
Answer:
D on ed 2020
Step-by-step explanation:
Matt swam 225 yards in 5 minutes. If Matt swam at a constant rate, how fast did he swim in yards per minute?
-1,125 yd./min
-220 yd./min
-45 yd./min
-5 yd./min
Please answer fast!
Answers
225/5 = 45
45 yards per minute
Joe's Canoes charges an initial fee of $20 plus $4 an hour. Callie's Canoes charges a flat rate of $14 an hour. Write an equation to represent this situation.
Answers
Answer:
joe 20+ 4x
callie 14x
Step-by-step explanation:
A local little league has a total of 75 players, of whom 20% are left-handed. How many
left-handed players are there?
Answers
Answer:
15
Step-by-step explanation:
75 x .20
15
Which ordered pair is a solution of the equation?
Answers
Answer:
D, neither
Step-by-step explanation:
If you want to solve this through elimination, just substitute the given points in each choice. (a,b) → (x,y)
In a coordinate the first number is the x value, and the second is the y.
All you have to do is substitute the indicated values given in the coordinate into the point slope equation, and determine whether or not the equation is true. If the equation is true (for example 1 = 1) the order pair IS a solution. If the equation is false (for example 1 = 2), than the ordered pair IS NOT a solution.
If you want to look at this linear equation solving for the quantity y, then use slope intercept.
Choice 1 is incorrect because (5,4) →
y - 4 = 7(x - 6) → (4) - 4 = 7((5) - 6) →
0 = 7(-1) → 0 = -7 (0 is never equal to -7) ; contradictory
Choice 2 is incorrect because (6,5) →
y - 4 = 7(x - 6) → (5) - 4 = 7((6) - 6) →
1 = 7(0) → 1 = 0 (1 is never equal to 0) ; contradictory
Therefore Choice 3 must be incorrect as well because neither of these two pairs are solutions, so combining two pairs that do not satisfy the equation does not make it any more true.
Since Choice 4 is the remaining choice, it must be the correct answer.
The points that fit on this line are given by the slope intercept equation: y = 7x - 3.
To convert point slope form to slope intercept form, first distribute everything in the parenthesis. Then remove all the terms besides y from the left side of the equation to the right:
y - 4 = 7(x - 6) → y - 4 = 7(x) + 7(-6) →
y - 4 = 7x - 42 → y - 4 + 4 = 7x - 42 + 4 →
y = 7x - 38.
Just substitute the x or y value into the equation, and find the corresponding y or x variable that fits the line.
Does 80/100 equal -8
Answers
Answer:
No.
Step-by-step explanation:
80/100 equals 0.8
Juanita will work for 4 7/8 hours at her job on Saturday. if she also volunteers for 2 1/3 hours at the hospital, how many hours will she be working and volunteering on Saturday?
A. 2 1/3 hours
B. 6 13/24 hours
C. 4 7/8 hours
D. 7 5/24 hours
Answers
Answer:
I think it's D...maybe
Step-by-step explanation:
Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion
Answers
Explanation
7(y/7)=7(3/17)
y=7(3/17)
Multiple
y=21/7
Answer:
y = 21/17
Step-by-step explanation:
Can I have brainliest pls?
In the figure below, m || n and p II q. Find the values of y and x.
Answers
Answer:
x= 33
y= 106
Step-by-step explanation:
4x-58=74
+58 +58
4x=132
4x/4=132/4
x=33
If two parallel lines intersect another two parallel lines then all corresponding angles will be the same thus the value of y is 106° and x is 33°.
What are parallel lines?Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.
It is known that the If two parallel lines intersect another two parallel lines then all corresponding angles will be the same.
Therefore, 74 = 4x - 58
4x = 132
x = 33.
Since 74° and the adjacent angle of y° are made by two parallel lines on the same line thus both will also same.
The adjacent angle of y = 74°
Since, adjacent angle + y = 180°
y = 180 - 74 = 106°.
Hence "If two parallel lines intersect another two parallel lines then all corresponding angles will be the same thus the value of y is 106° and x is 33°".
To learn more about parallel lines;
https://brainly.com/question/16701300
#SPJ2
Pls the real answer
Answers
Answer:
79.25 in.
Step-by-step explanation:
multiply 11 and 7.25 to get the actual size
A 3 inch by 5 inch photograph is enlarged so that the longer side is 15 inches.
What is the length of the shorter side of the enlarged photograph
Answers
Answer:
the length of shorter side is 9 inches.
longer side is enlarged 3times
so shorter side will also be enlarged 3 times.
On a circle, which of these is not a straight line?
Circle your answer.
I
circumference
radius
chord
diameter
Answers
Answer:
circumference
Step-by-step explanation:
it's a circle
There are 3 girls taking swimming lessons and 6 boys. Write the ratio that compares the girls to the total number of students
Answers
Answer:
3:9
Step-by-step explanation:
Answer:
3:9
Step-by-step explanation:
hope this helps. if im wrong sorry.
when given an equation were is m located dealing with slope
Answers
Answer: M is attached to x
Step-by-step explanation:
The equation in standard form is y = mx +b
m is attached and is modifying the value of x
Find the difference. (−2g+7)−(g+11)
Answers
Answer:
Step-by-step explanation:
(-2g+7)-(g+11)
-2g+7-g-11
-3g-4
Write a linear function f with f(2)=−2 and f(1)=1.
Answers
Answer - the answer should be: -3x+4
down below is how i did it,
Step-by-step explanation:
use the formula mx+b=y
y is f(x)
m = -3
x = x
b = 4
so,
mx+b is -3x+4
A linear function is the function of a straight line.
The linear function is: [tex]\mathbf{f(x) = -3x + 4}[/tex]
The given parameters are:
[tex]\mathbf{f(2) =-2}[/tex]
[tex]\mathbf{f(1) =1}[/tex]
Calculate the slope (m)
[tex]\mathbf{m = \frac{f(b) - f(a)}{b -a}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{-2-1}{2 -1}}[/tex]
[tex]\mathbf{m = \frac{-3}{1}}[/tex]
[tex]\mathbf{m = -3}[/tex]
The linear function is then calculated as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
This gives
[tex]\mathbf{y = -3(x - 1) + 1}[/tex]
[tex]\mathbf{y = -3x + 3 + 1}[/tex]
[tex]\mathbf{y = -3x + 4}[/tex]
Rewrite as:
[tex]\mathbf{f(x) = -3x + 4}[/tex]
Hence, the linear function is: [tex]\mathbf{f(x) = -3x + 4}[/tex]
Read more about linear functions at:
https://brainly.com/question/20286983
If ABC is the original and DEF is the image, what is the scale factor of this dilation ?
Answers
Answer:
The scale factor of this is 2
Step-by-step explanation:
The monthly cost of a short term disability insurance policy varies directly as the salary of the employee. Wanda has an annual salary of $38,500, and the monthly cost for her policy is $11.55. Randy has an annual salary of $49,500. What should Randy expect to pay for his policy?
Answers
Answer: $14.85
Step-by-step explanation:
Ww can solve the question using direct proportion with the formula y = kx
where y = annual salary
x = monthly policy cost.
k = constant of proportionality
Since y = kx
38500 = 11.55k
k = 38500 / 11.55
k = $3333.33
When Randy has an annual salary of $49,500, the amount Randy expect to pay for his policy will be:
y = kx
49500 = 3333.33x
x = 49500 / 3333.33
x = 14.85
The amount that Randy expect to pay for his policy will be $14.85
z +5 = 6
Help please
Answers
Answer:
z = 1
Step-by-step explanation:
z + 5 = 6
z = 6 - 5
z = 1
Topic: Algebraic equations
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
z equals 1 so 1 + 5= 6
z+5 = 6
-5 -5
z = 1
yvonne began making beaded jewelry at home. After 2 months of advertising, costumes began to buy her jewelry. The graph shows the number of sales she made in the first 6 months.
Based on the graph, which stament is true
Answers
Answer:
i need the graph
Step-by-step explanation:
graph?
Which diagram represents an element that is likely to form covalent bonds? A purple circle with 2 concentric circles around it. The inner circle has 2 small green spheres. The outer circle has 1 small green sphere. A purple circle with 3 concentric circles around it. The inner circle has 2 small green spheres. The middle circle has 8 small green spheres. The outer circle has 5 small green spheres. A purple circle with 3 concentric circles around it. The inner circle has 2 small green spheres. The middle circle has 8 small green spheres. The outer circle has 8 small green spheres. A purple circle with 4 concentric circles around it. The inner circle has 2 small green spheres. The second circle has 8 small green spheres. The third circle has 8 small green spheres. The fourth circle has 2 small green spheres.
Answers
Answer:
d
Step-by-step explanation:
Answer:
i think the answer is either B or D on edge but i wanna go with B
Step-by-step explanation:
Because you need 8 electrons so B has 5 and D has 2 in the fourth ring so i wanna say B over D but i hope this helps mark me brainliest if so please
Choose the equation one must solve to answer the question.
0 = 0.0048(x – 50)2 + 6
10 = 0.0048(x – 50)2 + 6
y = 0.0048(10 – 50)2 + 6
Answers
Answer:
The second option is correct 10= 0.0048(x-50)2+6
Step-by-step explanation:
I just completed it.
Answer: b (10=...)
the next one is 21 and 79 ft
What is the m for this slope?
Answers
Answer:
-3/4x
Step-by-step explanation:
Down 3, right 4. We know it's negative because it's declining, and going down till you reach the x-coordinate of the point gives us -3, and going right 4 units to the location of the point.