Answer:
răspuns corect 2
Step-by-step explanation:
dami coroana te rog
Write a quadratic equation with the given solutions below such that the terms of the quadratic contain no common factors.
-3,1
Answer:
x² +2x -3 = 0
Step-by-step explanation:
Given the zeros of a quadratic function the factored form is easily found. There is a factor (x -p) for each zero x = p. Here, the factored form of the function is ...
0 = (x -(-3))(x -1) = (x +3)(x -1)
In standard form, this is ...
x(x -1) +3(x -1) = 0
x² +2x -3 = 0 . . . . . . the terms have no common factors
A woman wishes to enclose a rectangular garden with fencing, using the side of her garage as one side of the rectangle. A neighbor gave her 27 feet of fencing, and she wants the length of the garden along the garage to be 6 feet more than the width. What are the dimensions of the garden?
Answer:
Width = 3.75 feet
Length = 9.75 feet
Step-by-step explanation:
Given:
Length of fencing = 27 feet
Find:
Dimensions of the garden
Computation:
Assume
Width = x
So,
Length = x + 6
2(L+B) = Perimeter
2(x + x + 6) = 27
2(2x + 6) = 27
4x + 12 = 27
4x = 15
x = 3.75
Width = 3.75 feet
Length = 3.75 + 6 = 9.75 feet
Adam drove 918 miles on 27 gallons of fuel. at this rate, how many gallons of fuel would it take to drive 510 miles.
Answer: 15 gallons
Step-by-step explanation:
Here you are going to want to set up a proportion. 918 miles per 27 gallons = 510 miles per x gallons
918/27 = 510/x
Cross multiply and you get 918x = 13770
and you get x = 15
Or you could do 918 miles / 27 gallons = 34 miles / gallon
and divide the 510 miles of distance by how many miles per gallon, so
510 / 34
15
у is directly proportional to the square route of x
If y = 32 when x = 64 find,
x when y = 48
HALP ME PLS
Simplify the expression.
5n - 3(4n + 1) =
Answer:
-7n - 3
Step-by-step explanation:
5n-3(4n+1) =
5n -12n -3= 0
-7n - 3
Answer: -7n-3
Step-by-step explanation: first bring the 5n down then multiply -3x4n gives you -12 and multiply 5x1 that gives you 5 so you would write (5n−12n)−3
then remove the parentheses combine like terms like 5 and 12 are alike because of the n's that means subtract because of the - sign 5-12 which gives you -7 and then you bring down -3 because it's outside the parentheses and that's the answer.
Suzanne bought a sweater at the sale price of 87.50. Originally, the sweater sold for $140. What was the percent discount? ( please help me! )
Answer:
37.5%
Step-by-step explanation:
the savings on the sweater is 140-87.50, or 52.50
you could create a proportion based on the statement:
52.50 is what percent of 140?
is/of = 'x'/100
52.5/140 = x/100
cross-multiply to get:
140x = 5250
x = 5250/140
x = 37.5
Find the area of a rectangle with dimensions (x + 12) and (x - 4). Express your answer as a
polynomial
rectangle area = lenght x width
so = (x+12) * (x-4) = x² - 4x + 12x - 48 = x² + 8x - 48
Social Security and Personal Income tax are called Payroll taxes because _____. a. they help to balance the national payroll budget. b. they are automatically deducted from payroll. c. once paid, they are used to supplement the paychecks of people in need. d. you need to prove you have paid them before you can pick up your paycheck. Please select the best answer from the choices provided A B C D
Answer:
I believe its B
Step-by-step explanation:
14 Compare 3(2 + x) to the equivalent expression in 13. What property did you apply
15 Simplify the expression from problem 14.
16 ls 3(2+x) equivalent to your simplified expression? Explain.
Answer:
14.) DC
community property
15.) 13+x
community property
12.) 6x-12
distributive property
Hope it helps!!!Brainliest pls!!!Write a comparison for 2/8 and 3/10
Answer:
3/10 is 1/20 greater than 2/8.
Step-by-step explanation:
3/10 - 2/8
= 12/40 - 10/40
= 2/40
= 1/20
what is the point slope and slope intercept form of (2,-6),(4,0)
Answer:
-6/-2=3 (the answer is 3)
Step-by-step explanation:
Change in y/ Change in x. How you do it: -6-0/2-4=-6/-2=3
Hope this helped :)
HELP PLEASE! 20 POINTS AND WILL MARK BRAINLIEST.
Suppose you want to find the 40th term of a sequence. Would you rather use a recursive rule or an explicit rule? Explain your reasoning.
Answer:
I'd rather use an explicit rule for bigger values of n
Step-by-step explanation:
Suppose we have a sequence like:
6,14,22,30,..
And we wanted to calculate the 200th term. The recursive rule is:
[tex]a_n=a_{n-1}+8[/tex]
Since each term is 8 more than the previous term. If we wanted to caclulate the term n=200, we would need to go up to 200 one-by-one until reaching the desired value.
The explicit rule is:
[tex]a_n=6+8(n-1)[/tex]
To find the term for n=200, just substitute into the rule:
[tex]a_{200}=6+8(200-1)=1598[/tex]
Thus, I'd rather use an explicit rule for bigger values of n
Katherine is visiting patients in a hospital. She visits 18 patients in 6 hours. At that rate, how many patients will she visit in 9 hours?
Answer:
Let's find the unit rate first, I like to order my units:
Patients 18 3 patients_________ = ______ = ______________, so 3 patients per hour is the
Hours 6 1 hour-unit rate.
Now let's order them to equal x(unknown patients)/9(hours)
3 patients (x9) x___________ = __________ = 27 patients per 9 hours. So your answer
1 hour (x9) 9is 27 patients.
Answer:
27 patients
Step-by-step explanation:
18patients = 6 hours
18/6 = 3
each hour for 6 hours she attends to 3 patient
6 hours + 3 hours make up 9 hours
since for each hour she attended to three patients we would say
1 hr = 3 patients
1 hr = 3 patients
1 hr = 3 patients
Total: 3 hrs = 9 patients
18 patients + 9 patients = 27 patients
so for 9 hrs Katherine will visit 27 patients.
Thank you
please mark me brainliest
x = -4
I need to find the slope,x-intercept, and y-intercept?
Answer:
no y intercept
x=-4 is the x intercept
slope is undefined
Step-by-step explanation:
for the intercepts: x=-4. will be clear through a graph
NO Y INTERCEPTS since x=-4 is a vertical line.
slope: the slope is undefined.
Which sentence is an example of indirect characterization?
like her mother, she was both practical and brave
"We’re all strong and hard workers with a lot of stamina,"
Lily worked day and night doing laundry
So the family began preparing for the journey
Answer:
C. Lily worked day and night doing laundry
Step-by-step explanation:
Edge 2022
Answer:
c
Step-by-step explanation:
Manolo says that the solution of the equation g squared equals 36 is g = 6 because 6*6 = 36. Is Manolos reasoning complete? Explain.
Answer: No. Manolo forgot to include that the opposite of squaring a number is square rooting. If you take the square root of 36, you get 6. When you square a number, you multiply it by itself, which is what Manolo did. He multiplied 6 by itself and got the answer of 36.
Step-by-step explanation: Hope this helps!
The Manolos reasoning is not complete because the quadratic equation has two roots and the roots are 6 and -6.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
A quadratic equation:
g² = 36
Manolo says that the solution of the equation g squared equals 36 is g = 6 because 6×6 = 36
As we know, the quadratic equation has two roots.
To solve the quadratic equation we can use the identity:
a² - b² = (a + b)(a - b)
g² = 36
g² - 36 = 0
g² - 6² = 0
(g + 6)(g - 6) = 0
g + 6 = 0 ⇒ g = -6
g - 6 = 0 ⇒ g = 6
Thus, the Manolos reasoning is not complete because the quadratic equation has two roots and the roots are 6 and -6.
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ5
The cost of Mr.pattern car insurance increases by 5% to 86.82 per month.what was the cost of his insurance before it increased?
Answer:
82.479
Step-by-step explanation:
You need to find out what 95% of the end cost is to determine the cost before the increase.
you can also find out what 5% per month and then subtract it form 86.82
I hope that makes sense and helps :)
help solve this , cause i don't know the answer .
Answer:
A -6Step-by-step explanation:
f(x) = 2x² + 5x - 9f(-3) = 2(-3)² + 5(-3) - 9f(-3) = 2(9) + 5(-3) - 9f(-3) = 18 + (-15) - 9f(-3) = 18 - 15 - 9f(-3) = 3 - 9f(-3) = -619. Solve the equation 3cos x = 8tan x, between Oº and 360°
O [A] 3.99,5.44
[B] 19.5, 160.5
[C] 0.197,3.34
O [D] 1.89, 5.03
[tex]3\cos x=5\tan x\\\\3\cos x=5\cdot\dfrac{\sin x}{\cos x}\\\\3\cos^2 x=5\sin x\\\\3(1-\sin^2x)=5\sin x\\\\-3\sin^2x-5\sin x+3=0\\\\t=\sin x\qquad\qqaud t\in<-1, 1>\\\\-3t^2-5t+3=0\\\\3t^2+5t-3=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-3\\\\t=\dfrac{-5\pm\sqrt{5^2-4\cdot3\cdot(-3)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+36}}{6}=\dfrac{-5\pm\sqrt{61}}{6}\\\\t_1=\dfrac{-5+\sqrt{61}}{6}\approx0.4684\ ,\qquad t_2=\dfrac{-5-\sqrt{61}}{6}\approx-2.136\notin<-1,\,1>[/tex]
[tex]\sin x=0.4684\quad\wedge\quad x\in(0^o,\ 360^o)\\\\x\approx28^o\qquad\qquad\vee\qquad x\approx152^o\\\\\\\sin x=0.4684\quad\wedge\quad x\in(0,\ 2\pi)\\\\x\approx0.4887\qquad\qquad\vee\qquad x\approx2.6529[/tex]
Graph the function f(x) = 21(0.5)x.
an exponential graph decreasing from the left and crossing the y axis at 0 comma 5
an exponential graph decreasing from the left and crossing the y axis at 0 comma 21
an exponential graph decreasing from the left and crossing the y axis at 0 comma 18
an exponential graph decreasing from the left and crossing the y axis at 0 comma 8
Answer:
Option A: an exponential graph decreasing from the left and crossing the y axis at 0 comma 5
Step-by-step explanation:
It has to start with a y-intercept of 21 because f(x) or as another way of saying it, y, equals 21 and then the number has to halve itself and thats why its so steep in the beginning. Hope this helps :)
Answer:
B
Step-by-step explanation:
(so that poeple know previos person messed up and said that in comments i didnt want any1 els to have that mistake.)
What is the midpoint m given q(-2, -4) and R(6, 10)
Answer:
(2,3)
Step-by-step explanation:
Answer:
(2, 3)
Step-by-step explanation:
The formula for midpoint is: M = [tex]\frac{(x_{1}+x_{2} )}{2} , \frac{(y_{1} + y_{2}) }{2}[/tex]
Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.
Pls help me I don’t which on it is
A gorilla has a mass of 156 kilograms. Choose all of the customary measures that are less than 156 kilograms.
400 Ib
350 Ib
300 Ib
250 Ib
200 Ib
Answer:
300lb, 250lb, 200lb
Step-by-step explanation:
156kg=343.9lb
What is an
i equation of the line that passes through the points (8, -1) and (4, -1)?
Answer:
I hope this is what you're looking for. Good luck.
Step-by-step explanation:
D is the centriod. What is the value of X
Answer: 4
Step-by-step explanation:
PLEASE HELP ANYONE!?
Answer:
Step-by-step explanation:
this is hard that I will say
Nc
In 5-7, use the table at the right. The table shows the lengths
to the nearest fourth inch of fish that scientists studied.
5. Make a line plot to show the data.
DATA
Fish Lengths
9. in. 9 in. 11 in. 9 in. 8 in. 10 in.
8. in. 9 in. 10. in. 8 in.
102 in. 8 in. 9 in. llin.
10 in. 8 in. 102 in. Olin
10in. 9 in.
Based on the information in the table given, the line plot to show the data is given in the attached picture.
What is a line plot?This is a kind of graph that shows data on a number line. The data that is to be represented will be put as points above the numbers on the number line.
Numbers with more variables will have multiple points placed above them to show that they have more frequency.
Find out more on line plots at https://brainly.com/question/15207273.
Expand and simplify 3(q + 5) - 2(2-4)
a 2
Answer:
hope it helps
good afternoon
Determine the x-intercepts of the following equation.
(x+1) (x+2)=y
Answer: (-1, 0)(-2,0)
A DVD is marked down 15%; the regular price is $12. What is the sale price?
The sale price of the DVD is $_____
Answer:
10.20
Step-by-step explanation:
Given;
A DVD is marked down 15%; the regular price is $12.
To Find;
What is the sale price?
Note;
Mark Down = Decrease = Subtract
Solve;
$12 x 15% = 1.80
$12 - 1.80 = 10.20
~Learn with Lenvy~
Answer:
$10.20
Step-by-step explanation:
15% of 12 is 1.80 so subtract 1.80 from 12 and you get 10.20