Answer:
The roots are {-6, -3}
Step-by-step explanation:
We are given four possible roots. To determine whether or not a particular possible root is actually a root, we use synthetic division. If the remainder is zero, we may conclude that this is actually a root.
Determine whether or not -3 is a root. Setting up synthetic division, we get
-3 / 2 18 36
-6 -36
---------------------
2 12 0
Since the remainder is zero, -3 is a root.
Try -6: Is this a root of 2x + 12? Setting up synthetic division, we get
-6 / 2 12
-12
----------------
2 0
The remainder is again zero, so -6 is also a root of the original equation.
The roots are {-6, -3}
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choices are ~
b and d
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex][tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex][tex]2x(x + 6) + 6(x + 6) = 0[/tex][tex](2x + 6)(x + 6) = 0[/tex]There's two cases here,
Case # 1 - when 2x + 6 = 0
[tex]2x + 6 = 0[/tex][tex]2x = - 6[/tex][tex]x = - 6 \div 2[/tex][tex]x = - 3[/tex]Case # 2 - when x + 6 = 0
[tex]x + 6 = 0[/tex][tex]x = - 6[/tex]Hence, the roots are -3 and -6 ~
pls help! NO LINKS I WILL REPORT YOU
Some people use this rule to work out
how many hours' sleep each night
young children need.
tract the child's age in years from 30,
ten divide the result by 2
Sanjay is 8 years old.
Use the rule to work out how many
hours' sleep he needs.
Please help! WILL MARK BRAINLIEST
Answer:
2nd option is correct
.........................
Answer:
1 1/9 ft^3
Step-by-step explanation:
5/3*1*2/3=10/9*1=10/9
10/9=1 1/9
A line has a slope of 5 and passes through the point (-1,2).
Write the equation in point-slope form.
Write the equation in slope-intercept form.
Answer:
Step-by-step explanation:
slope=m= 5
points=(-1,2)
By point-slope form:
[tex]y[/tex]-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])
Substitute the values in formula:
y-2=5(x+1) (It is the point slope form)
Now,
Slope intercept form:
y-2=5x+5
y=5x+5+2
y=5x+7
If you need to ask any questions, please let me know.
arrange the cards into three pairs of the same total.
-7,-5,-3,3,1,-1
the answer is ( -7; 3) (-5; 1) ( -3;-1)
ok done. Thank to me :>
It costs $36,736 to repay a loan of $20,500 at 6.6% annual simple interest
How much interest would pay each year?
Find the total amount of interest paid
How many years does it take to repay the loan?
Answer:
$1,353 a year $16,256 total paid 12 years
Arron and Paul are paid 10$ per hour as landscapers. However this week Arron made an additional 54$ in overtime pay. Given that A and P represent the number of hours worked by Arron (a) and Paul (p) which expresion can be used to represent their combined earrings for the week.
A. 10A+10P+54
B. 10AP+54
C. 10P+54
D. 10A(54)+10P
Answer:
A. 10A+10P+54
Step-by-step explanation:
A vertical parabola has its vertex in the second quadrant and y=ax2+bx is the equation of this parabola. Sketch the line that has equation y=ax+b.
The vertex of a parabola is the minimum or the maximum point of the parabola.
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
The equation of the parabola is given as:
[tex]\mathbf{y = ax^2 + bx}[/tex]
For the vertex of the parabola to be in the second quadrant, then the following must be true:
a > 0 and b > 0
Take for instance:
a = 2, and b = 1
So, we have:
[tex]\mathbf{y = 2x^2 + 1x}[/tex]
Rewrite as:
[tex]\mathbf{y = 2x^2 + x}[/tex]
Factor out x
[tex]\mathbf{y = x(2x + 1)}[/tex]
So, the line equation is:
[tex]\mathbf{y = 2x + 1}[/tex]
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
Read more about parabolas at:
https://brainly.com/question/20333425
15 crates of egg cost 4500 how many crates will 1500 buy
Answer:
5 crates
Step-by-step explanation:
1500/4500 = 1/3
1500 is 1/3 of 4500, so 1500 buys 1/3 of 4500.
1/3 * 15 crates = 5 crates
Answer: 5 crates
Answer:
3 crates for $1,500
Step-by-step explanation:
15 is to x as 4500 is to 1500, or 15 is to x as 3 is to 1. Then x = 3 (crates)
The ratio of boys to girls at a party was 6:7 if there were 28 girls how many people attended the party
Answer:
52
Step-by-step explanation:
6+7=13
6:7=13
x:28
28/7=4
so you have to multiply by 4
4x6=24
24 boys and 28 girls
24+28=52
Answer:
52
Step-by-step explanation:
Lets put the ratio like this: 6x (boys) : 7x (girls)
because we know that the amount of girls is 28 we can set them equal as so:
7x = 28
÷ divide both sides by 7
x = 4
now add 6x + 7x to get the total people = 13x and because x equals 4, we can multiply 13 by 4. Which is 52
HOPE THIS HELPS :)
GEOMETRY please help !
Step-by-step explanation:
A.
The incorrect statement in Triangle A is B
It is not a equilateral triangle. It is a isosceles triangle
B.
The incorrect statement in Triangle B is C
The missing angle is not 158. It is 68
C.
The incorrect statement in Triangle C is C
The missing angle is not 72 it is 36
Find the slope of the line
What is QUzXTY . . .
Answer:
ANSWER MEEEEE
Step-by-step explanation:
Genny's monthly salary was $2000in November. In December she received a 20% raise. In January, what was Genny's monthly salary?
Answer:400
Step-by-step explanation:
10%= 200
x2=400
8
Which does NOT describe the quadrilateral below?
O A. trapezoid
B. square
C. parallelogram
О
D. rectangle
hello.. kindly help me. i'm a bit confused because the answer is negative..see the attached picture : D
Step-by-step explanation:
When you get negative it is ok.
It means you have a discount here, not really increase but decrease in price.
Here you have:
(1680 - 4200)/4200*100% = - 60%It is called 60% mark down or 60% discount
Please help me with this homework
Answer:
B) y=3x-2
Step-by-step explanation:
The y-intercept would be -2, as you can see on the graph. Also, the slope would be 3. Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Now you can plug in with numbers. y=3x-2.
Answer:
Is the answer you put correct? if not, i'll put it down underneath step-by-step.
If you're trying to find the y-intercept (its helpful), go to the 0 on the graph and try to find where the crosses (hint: y=-2). I think b is correct, either b or d. because y=-2 and those two only have 2 in them. Happy to help if i did!
You can give the other one brainliest
Which answer is an equation in point-slope form for the given point and slope? point: (7, 4); slope: 6.
Answer: the answer is
y-4=6*(x-7)
Step-by-step explanation:
Please answer<3
-2w - 5w =
Answer:
the answer is -7w
Step-by-step explanation:
-2w - 5w = -7
Select all ratios equivalent to 1:2.
8:16
9:18
4:6
Submit
Answer:
8:16 and 9:18
Step-by-step explanation:
When looking at 1:2 you can see that 1 + 1 = 2 from this we can easily tell that the answer will be like this. 8 + 8 = 16 and 9 + 9 = 18 but 4 + 4 = 8 and not 6.
Question is in the file below.
Answer:
I am confused with this ques there two of them gets the same ans
A and B has same value and
C and D has same value
are you supposed to choose two of. them?
however i got C= -40 , D = -40
Let me know if its incorrect :-)
Susan's checkbook had a balance of $422.05 on April 1. On April 5, she wrote a check for $106.30 to the auto repair shop. On April 7, she
wrote a check in the amount of $310.00 for rent. On April 9, her dad sent her $95.00 to deposit into her account. What is the balance of
Susan's account after this deposit?
Answer: 422.05-106.30-310.00+95.00=100.75
Step-by-step explanation:
your subtracting the 422/106/310 while you adding the $95
Solve for x.
4/5(x−3/10)=−2 1/4
Enter your answer as a mixed number in simplest form in the box.
Answer:
x = -201/80
Mixed form: x = -2 41/80
Step-by-step explanation:
Value of x = [tex]-2\frac{1}{4}[/tex]
What is algebraic equation?Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
Examples: (y²x² + 2xy – y)/(x – 1) = 12.
Given, equation
[tex]\frac{4}{5}(x- \frac{3}{10} )[/tex] = [tex]-2\frac{1}{4}[/tex]
⇒4/5[(10x-3)/10] = -9/4
⇒2/5[(10x-3)/5] = -9/4
⇒(20x-6)/25 = -9/4
⇒80x - 24 = -225
⇒80x = -225 + 24
⇒x = -201/80
⇒x = -2.5125
⇒x = [tex]-2\frac{1}{4}[/tex]
Hence, the value of x in simplest mixed number is [tex]-2\frac{1}{4}[/tex]
Learn more about algebraic equation here:
https://brainly.com/question/24875240
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Simplify the ratio 18 8
Answer:
9:4
Step-by-step explanation:
Here is the math to illustrate better:
18/2 = 9 and 8/2 = 4
Thus, The 18:8 ratio simplified
What is 2.29 rounded to the nearest whole ounce?
Answer: To round 2.29 to the nearest whole number consider the tenths' value of 2.29, which is 2 and less than 5.
Step-by-step explanation:
Solve the slope for the table.
Answer:
Slope = -3
Step-by-step explanation:
8-17/0+3=-9/3=-3 : Slope Formula
your grade varies directly with the time you study if you study for 40 minutes your grade is an 80 how long should you study to get a 95
Answer:
47.5 minutes
Step-by-step explanation:
40 min = 80
x min = 95
40/80 = x/95
3800 = 80x
x = 47.5
-Chetan K
el desempeño 29 porfaaa
Step-by-step explanation:
1 more time solve and answer is ready
As a civil engineer, you are drafting the plans
for a new water treatment plant. The water
mains for this plant measure 48 inches in
diameter. At each joint between pipes in the
main, a strip of rubber will be bonded to the
outside of the pipe joint to improve the seal.
About how long will the rubber seal be when
it is trimmed to fit around the pipe?
The distance around a circle is the circumference.
Circumference = Pi x diameter.
Circumference = 3.14 x 48
Circumference = 150.72 inches
Round the answer as needed.
can u answer this plz thanks
Answer: 3/4 of 8 just means 3/4 x 8, which is 6 miles. Do the same with 3/5 x 10, which is also 6 miles. Therefore both of them walked the same distance. Please mark me brainliest!
