The roots of the Given equation are -5 and 1 solved using the algebraic method to find roots.
The given equation [tex]x^2 + 4*x-5[/tex] is a quadratic equation.
how to identify whether a given equation is a quadratic equation or not?
The polynomial equations of degree two in one variable of type [tex]f(x) = ax^2 + bx + c = 0[/tex] and with a, b, c, belongs to Real Number and a not equal to 0 is known as a quadratic equation. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f. (x). The roots of the quadratic equation are the values of x that satisfy the equation.
x^2 + 4*x -5 = 0
x^2 + (5-1)*x - 5 = 0
x^2 + 5*x - x -5 = 0
x(x+5) - 1(x+5) = 0
(x+5)(x-1) = 0
if a*b = 0 then a = 0 or b= 0.
In the same way
x+5 = 0 or x - 1 = 0
x = -5 or x = 1.
So Roots of the Given equation are -5 and 1.
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1. Paula has x cups of food in a container to feed her dogs. She pours 1.5 cups of food into their bowls. There is now 5.25 cups left in the container. Which equation would be used to solve this problem?
a. 1.5 - x = 5.25
b. 5.25 - x = 1.25
c. x - 1.5= 5.25
d. x + 1.5= 5.25
2. A box of donuts cost $9. You want to send donuts to the local nursing home. Set up an equation to find how many boxes you can send if you have $72.
a. 72 = 9 + b
b. 72 = 9 - b
c. 72 = 9b
d. 72 = 9/b
3. Jordan is purchasing a board to build a bookcase. He wants to divide the board into 1.75 foot sections and he needs 6 sections. Which equation can be used to solve this problem?
a. b/1.75 = 6
b. 1.75b = 6
c. b - 1.75 = 6
d. b + 1.75 = 6
I've been very confused for hours now on when to put an imfity sign when doing quadratic inequalities pls help
Answer:
The symbol (∞) is read as infinity. and indicates that the set is unbounded to the right on a number line. Interval notation requires a parenthesis to enclose infinity. The square bracket indicates the boundary is included in the solution.
Step-by-step explanation:
What is the solution to 3/4 a >-16?
Answer:
a
Step-by-step explanation:
you were right.
hope this helps
The value of a house is 400,000 in 2015 and it doubles every decade. 1.If v is the value of the house,in dollars write an equation for v in terms of d, the number of decades since 2015.
Answer:
[tex]v=400,000 \times (2)^d[/tex]
Step-by-step explanation:
Given that,
The value of a house is 400,000 in 2015 and it doubles every decade.
Let v be the value of the house.
We need to find an equation for v in terms of d (the number of decades since 2015).
It shows that the function is exponential. So,
[tex]v=ab^d[/tex]
Where
a = Initial Value = 400000
b = rate = 2
d = number of decades
v = the current value of the home
So,
[tex]v=400,000 \times (2)^d[/tex]
ahh problem/question in the image
Answer:
60 clockwise
Step-by-step explanation:
Can someone please help me with math.
Answer:
4. (2,1) 5. (-2,1) 6. (8, 80)
Step-by-step explanation:
4.2x + 4y - 2x + 2y = 8 - 2
6y = 6
y = 1
2x + 4 = 8
2x = 4
x = 2
(2,1)
5.3x + 4y + 6x - 4y = -2 - 14
8x = -16
x = -2
-6 + 4y = -2
4y = 4
y = 1
(-2,1)
6.multiply first equation by 4
4y = 40x
4y + 40x + 6y = 40x + 800
10y = 800
y = 80
80 = 10x
x = 8
(8, 80)
The value of y is proportional to x. When x=3 , then y = 15. Which equation represents the relationship between x and y?
A.y=5x
B.y=12x
C.y=0.2x
D.y=45x
Answer:
A. y = 5xStep-by-step explanation:
Direct proportion equation:
y = kx, where k is the coefficient of proportionalityWe have:
x = 3 and y = 15Using the equation to find the value of k:
15 = 3kk = 15/3k = 5The equation of the line:
y = 5xCorrect choice is A
2. Karina would like to go with Rhia to Michigan, but by the time she purchased her ticket, she
realized she will need to earn $1,593 to pay for the trip herself. Karina babysits and earns $15
per hour. How many hours will Karina need to babysit in order to earn all of the money she
needs for the trip to Michigan?
Which answer choice is an expression that represents Melissa's age in 9 years, when the variable a represents her current age?
Answer:
a + 9
Step-by-step explanation:
Given that :
Melissa's current age = a
Melissa's age in 9 years will be will be expressed as :
Melissa's current age + number of years from present time
Thus ;
Expression to represent Melissa's age in 9 will be :
a + 9
Thus ;
Melissa's in 9 years = a + 9
ginger paid 7.50 for 2 pounds of fish. how much did she pay per pound?
Answer:
$3.75 per pound
Step-by-step explanation:
7.50/2 =3.75
Hope this helps!!
Answer:
3 3/4
Step-by-step explanation:
she paid 3 3/4 because 7.50 ÷ 2 is 3 3/4
(-8xy + 3x²-5y)+(4x²-2y+6xy)
Answer:
-2xy+7x^2-7y
i recommend m a t h w a y :)
Step-by-step explanation:
Answer:
7x^2−2xy−7y
Step-by-step explanation:
First Simplify
(−8x)(y)+3x2−5y+4x2−2y+6xy
=−8xy+3x2+−5y+4x2+−2y+6xy
Then Combine Like Terms:
=−8xy+3x2+−5y+4x2+−2y+6xy
=(3x2+4x2)+(−8xy+6xy)+(−5y+−2y)
=7x2+−2xy+−7y
Please help me on this! Name it like A, B, C, D
Answer:
B. -2_x_4÷3 this answer are not sure
Answer:
D
Step-by-step explanation:
-5 < 6x +3
-8 < 6x
-(4/3) < x
I use < to represent 'no no smaller than'
Q26. Division A has 15 students and division B has 20 students. Average score of students in division A is greater by 2 as compared to the average score of students in division B. The total marks of all the students in divi- sion B is 160 more than total marks of all the students in division A. Find the average marks of students in division A
Step-by-step explanation:
Let a be the total score of Div. A
Let b be the total score of Div. B
given,
[tex] \frac{a}{15} - \frac{b}{20} = 2[/tex]
as equation 1.
and
[tex]b - a = 160 \\ - a + b = 160[/tex]
as equation 2.
Now multiply equation 2 by 1/20 to eliminate b to solve for a.
[tex] ( - a)( \frac{1}{20} ) + (b)( \frac{1}{20} ) = ( \frac{1}{20} )(160) \\ - \frac{a}{20} + \frac{b}{20} = 8[/tex]
take this new equation as equation 3.
now we will use equation 1 + equation 3 to eliminate b to solve for a.
[tex] ( \frac{a}{15} + ( - \frac{a}{20} )) + ( - \frac{b}{20} + \frac{b}{20} ) = 2 + 8 \\ \frac{a}{60} = 10 \\ a = 60 \times 10 \\ = 600[/tex]
Div.A total score = 600
Average Score = Total Score / Number of students.
[tex] \frac{600}{15} \\ = 40[/tex]
Solve for x.
SHOW WORK!
Answer:
6
Step-by-step explanation:
1)
-2+12x = 11x+4 [ corresponding angle formed by two parallel lines are equal ]
2)
NOW, Simple simplify....
Recently one morning the temperature at 7:00 AM was 44 degrees Fahrenheit. If the temperature rose an average of 2 degrees per hour and peaked at 3:00 PM, what was the temperature at 3:00 PM?
i will mark brainliest if you’re correct!!!
The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:
V = 8w + 3l
where V = the perimeter of the vegetable garden; w = the width; l = the length
Which formula best represents l in terms of w and V ?
A- l=v-8w-3
B- l=3v-8w
C- l=v-8w/3
D- l=v-8w+3
anyone know how to do this please help ty !!!
Answer:
24. 7z^2(2z^3+1)
27. 7t (3t - 2)
30. 3a^2 (a^3-2a+4)
Step-by-step explanation:
You didnt specify what to do so i just assume this is a factorization question.
PLS HELP ME
What would the measure of the third angle
equal?
Answer:
55
Step-by-step explanation:
180−43−82=55(angles of a triangle add upto 180)
What would the measure of the third angle equal?
Well given that all 3 vertices of a triangle are supposed to be a sum of 180*
Hence this information side E is 82* and side H is 43* and when added up they equal 125 so then you would subtract 180 - 125 = 55\
Therefore, side T = 55*
!!!!!!!!! PLEASE HELP !!!!!!!!!!
Solve x² - 6x - 7 = 0
Answer:
x = 7, -1
Step-by-step explanation:
Please help with this problem.
Answer:
d = 28
r = 14
r² = 196
C = 87.92
Step-by-step explanation:
Given:
r = 14
To find diameter:
d = 2r
d = 2(14)
d = 28
To find r²:
14²
196
Circumference:
C = 2πr
C = 2(3.14)(14)
C = 87.92
HELP ME WITH LINEAR RELATIONSHIPS MATH PLEASE !!’
Answer:
y = -1/4x + 2
Step-by-step explanation:
Pick two points on the graph. Points (-4, 3) and (4, 1).
[tex]\frac{x_{2} - x_{1} }{y_{2} - y_{1} }[/tex]
[tex]\frac{3-1}{-4-4}[/tex]
= [tex]-\frac{1}{4}[/tex]
Slope is [tex]-\frac{1}{4}[/tex].
The y-intercept is the point where the line intersects the y-axis. In this case, it's (0, 2). So +2.
y = -1/4x + 2
pls help it’s 12 POINTS!!!
Answer:
1=200
2=300
3=400
4=400
Step-by-step explanation:
Each year they get 100 more dollars. If you have any questions, just ask!
6 ( x/2 + 4) ≥ 9 hey guys whats the answer please
Can someone please solve this for me
Two parallel lines have same slopes so we need to find the slope of the line which passes through the given points.
Suppose : A = ( - 2 , 7 ) & B = ( 4 , 4 )
Slope = y ( B ) - y ( A ) / x ( B ) - x ( A )
Slope = 4 - 7 / 4 - ( - 2 )
Slope = - 3 / 4 + 2
Slope = - 3 / 6
Slope = - 1 / 2
------------------------------------------------------------
As you know The coefficient of x is the slope of the line in slope-intercept form.
Thus we have to find the option which x has - 1 / 2 as the coefficient .
Look we have that in D so the correct answer is D .
find the value of x. pls and thank you quickly
Answer:
X=4Step-by-step explanation:
[tex]\frac{X}{2} =\frac{X+2}{3} \\\\3x=2x+4\\\\x=4[/tex]
hope it helps....
If you inflate a beach ball with 14,130 cubic inches of air, what will its radius be? Use 3.14 for π. Round to the nearest whole number if necessary.
Answer: 15
Step-by-step explanation:
The answer is because if you divide 14,130 by 3.14. You'll get 4500 and then divide that by 300 and your finally is 15
The radius of the inflated beach ball is equal to 58 inches.
What are the surface area and volume of a sphere?Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.
Given: The volume of the sphere is 14,310 inches³
we know the volume of the sphere is 4/3 πr³
Thus equating we get
4/3 × 3.14×r³=14310
r³=3417.99
r³=3418
r=58.463 or 58 (approx)
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Find the GCF of
[tex] {6x}^{4} - {24x}^{3} [/tex]
HELPP PLSSS I WILL GIVE YOU BRAINIEST PLSS THIS IS MY THIRD TIME POSTING PLS HELP MEE What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(3,9) (1,1)
Answer:
the slope of the line is
4Answer:
1/4
Step-by-step explanation:
From 1 to 3 is two that is the ride of the slope and the run is from 1 to 9 witch is 8 and that means 2/8 but you can minimize the fraction to 1/4
on the grid draw the graph of x+2y=7 for values of x between -2 and 3
Answer: look at the picture
Step-by-step explanation: Hope this help :D
3x + 4(x + 1) when x = 4
Answer:
32
Step-by-step explanation:
3 (4) + 4 [ (4) + 1 ]
12 + 4 (5)
12 + 20 = 32