Given:
A quadratic equation is
[tex]-6=x^2+4x-1[/tex]
To find:
The standard form of the given equation and find the value of c.
Solution:
The standard form of a quadratic equation is
[tex]ax^2+bx+c=0[/tex] ...(i)
We have,
[tex]-6=x^2+4x-1[/tex]
It can be rewritten as
[tex]0=x^2+4x-1+6[/tex]
[tex]0=x^2+4x+5[/tex]
[tex]x^2+4x+5=0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]c=5[/tex]
Therefore, the value of c is equal to 5 and the correct option is C.
Answer:
the answer is c
Step-by-step explanation:
It’s sad when I help people because they don’t do the same thing to so please please please... answer me once :((((((((((((((((((((((((((((((((((((((((((((((
Step-by-step explanation:
Equation = 4m=16
Answer= 4m=16
m=16/4 = 4
So Tyrone has 4 model planes.
Don't know if its correct
Plz help I’m timed!!!!
Answer:
(x, y) right-arrow (x minus 5, y minus 3)
Step-by-step explanation:
we know that
The translation of the pre-image STU to the image ST'U' is 3 units down and 5 units to the left
That means
3 units down -----> y-3
5 units to the left -----> x-5
therefore
The rule of the translation is
(x,y) -----> (x-5,y-3)
Are 12/7 and 36/21 proportional
Answer:
Step-by-step explanation:
Cross multiply:
12 * 21 = 7 * 36
Simplifying
12 * 21 = 7 * 36
Multiply 12 * 21
252 = 7 * 36
Multiply 7 * 36
252 = 252
Add '-252' to each side of the equation.
252 + -252 = 252 + -252
Combine like terms: 252 + -252 = 0
0 = 252 + -252
Combine like terms: 252 + -252 = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
(hope this helps can i plz have brainlist :D hehe)
From the calculations below, 12/7 and 36/21 are proportional, therefore, the statement is true.
The first fraction given is 12/7.
The second fraction given is 36/21.
In order to check, we can multiply both the numerator and the denominator by 3. This will be;
= (12 × 3) / (7 × 3)
= 36 / 21
Therefore, it has been solved that 12/7 and 36/21 are proportional.
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A surveyor at point S locates a tree 200 meters away, at point T. The surveyor turns 120 degrees counterclockwise and locates a rock formation 150 meters away, at point R. Find the distance between the tree and the rock formation.
This will require using the law of cosines.
Answer:
190
Step-by-step explanation:
The distance between the tree and the rock formation is approximately 304.14 meters.
To find the distance between the tree (point T) and the rock formation (point R), we can use the law of cosines. The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Let's denote the unknown distance between the tree and the rock formation as 'd.'
We have a triangle with sides of lengths 200 meters (side ST), 150 meters (side SR), and d meters (side TR). The angle opposite side ST is 120 degrees.
According to the law of cosines:
d² = 200² + 150² - 2 * 200 * 150 * cos(120°)
Now, we can calculate this expression to find the value of d:
d² = 40000 + 22500 - 60000 * cos(120°)
Using the value of cos(120°) ≈ -0.5, we have:
d² = 40000 + 22500 - 60000 * (-0.5)
d² = 40000 + 22500 + 30000
d² = 92500
Taking the square root of both sides to solve for d:
d = √92500
d ≈ 304.14
Therefore, the distance between the tree and the rock formation is approximately 304.14 meters.
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If the FDIC has an insurance fund of $67.8 billion and must use 7.6% of it to cover several failed banks, approximately how much money is left in the fund?
Answer: D
Step-by-step explanation: correct on edg 2021
Question 2
Evaluate the following function:
f(x) = 7x2 + 8x + 20 for f(2)
type the numerical value for your answer
Answer:
64
Step-by-step explanation:
We have the function f(x) 7x^2 + 8x + 20 and are asked to solve it.
Since we know that x equals 2. We can substitute 2 for every x in the expression.
7(2)^2 + 8(2) + 20
First do the exponent :
2^2
4
7(4) + 8(2) + 20
Multiply 7(4) and 8(2) :
7(4)
28
8(2)
16
28 + 16 + 20
64
Your mom purchased an antique lamp for $245. The value
of the lamp increases by 3.25% each year. Write an exponential
model that gives the value y (in dollars) of the lamp t years after
she purchased it. How much is it worth after 20 years? (Round
to the nearest whole dollar)
Answer:
y=245 * 1.035^t $487.50
Step-by-step explanation:
y=245*1.035^20
y=245*1.9898
y=487.49827
I need help with B. Do you I think this will mean the end of life on earth?
Please answer ASAP
Answer:
yes
Step-by-step explanation:
A certain sum of money gives $ 510 as compound interest 12¹/₂ % per annum for 2 years. Find the simple interest on the same sum of money at the same rate for the same period of time.
Answer:
$127.5
Step-by-step explanation:
Given data
P = $510
r= 12.5%
t= 2 years
The expression for simple interest is
SI= PRT/100
SI= 510*12.5*2/100
SI= 12750/100
SI= 127.5
Hence the Simple interest is $127.5
Do not, I repeat DO NOT ANSWER THIS QUESTION!!!! It is experimental, and I need to answer it with my other account, so please DO NOT ANSWER THIS!!!!!!!!!!!!!!!!!!!!!
Answer:
tfgvftydgxchtfg
Step-by-step explanation:
brainliest to whoever can answer questions correctly
Answer:
v ~ 32.72
Hope that helps!
What is an
equation of the line that passes through the points (4,-4) and
(-6,-4)? PLEASE I HAVE TO AWNSER IN 5 minutes
Step-by-step explanation:
[tex]y = - 4[/tex]
[tex]y = - 4[/tex]
Answer:
y=-4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-(-4))/(-6-4)=(-4+4)/-10=0/-10=0
slope is 0
y-y1=m(x-x1) where m=slope
y-(-4)=0(x-4)
y+4=0
y=0-4=-4
y=-4
Need help on number 26 and 27!!
Answer:
26. H. (-4, -2)
27. A. x - 4
Step-by-step explanation:
26.
Use translations.
Start at point A(2, 6). To go from this point to the center of the circle, you must go from A(2, 6) to C(-1, 2). That means you need to go from 2 to -1 in x, a change of -3 in x, and from 6 to 2 in y, a change of -4 in y.
Since points A and B are the endpoints of a diameter, then AC and BC are radii of the circle. All radii are congruent, so if you apply the same transformation as from A to C to point C, you will get the coordinates of point B.
C(-1, 2) now is transformed by -3 in x and -4 in y.
B(-1 - 3, 2 - 4) ----> B(-4 , -2)
Answer: H. (-4, -2)
27.
Recall the factoring of a difference of cubes.
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
You have
x^3 - 64
x^3 is obviously the cube of x.
64 is the cube of 4, so you have
x^3 - 4^3
Following the factorization above, you get
(x - 4)(x^2 + 4x + 16)
Answer: A. x - 4
PLEASE HELP ME.What letter should appear next in the sequence? V,T,S,R
Answer:
in what sentence all i see is the letters no image above
When h(1)=-2, and h(n)=h*(n-1)+n, what is h(2)=
Answer:
h(2)=0
Step-by-step explanation:
That’s what I got when I got it wrong and I asked for the answer and I promise it’s 0
Answer:
its 0
Step-by-step explanation:
I am not very good at math, and my daughter finished her math assignment and wasn't sure if she did everything correctly. Can someone make sure this is correct?
Answer:
I think its correct I don't know tho
Step-by-step explanation:
What is the domain of this function?
Answer:
c
Step-by-step explanation:
its c because I just cacuulated it
It says 33cm it’s messed up because it’s on a laptop but what’s the volume of this sphere :)
Answer:
1.51*10^5 cm^3
Step-by-step explanation:
the formula for the volume of a sphere is (4/3)pi(radius)^3
I can't really tell if the 33 cm is for the radius or the diameter, but it looks like the radius, so
(4/3)*(33)^3*pi
simplify
Im assuming you can use a calculator because it's too hard to do without because it's a huge number
can someone pls help me
write 3lgx + 2-lgy as a single logarithm
Answer:
log(x^3*y^(-2))
Step-by-step explanation:
two log rules you need to know for this question:
alogb = log(a^b)
logx + logy = logxy
you can start by getting rid of the term in front of the log, or a
also is it 2 minus or 2 times negative? im assuming it's 2 times negative because it is more likely
log (x^3) + log (y^-2) = log (x^3*y^-2)
The average 12-ounce container of raspberries contains 120 raspberries. Since the size of the raspberries can vary, the actual quantity of raspberries in a container can range anywhere from 4 berries below average to 4 berries above average.
Write and solve an absolute value equation to calculate the minimum and maximum raspberry quantities in a 12-ounce container.
Enter your answers in the boxes below.
Minimum Quantity:
raspberries
Maximum Quantity:
raspberries
Ik someone else already answerd but here is confirmation just incase :)
pleasee helpp honestly im stuck i dont know how to graph this equation. it says to graph the funcion c(x)=3x-1
first take the 3 and place it over the negative one in quadrant 2
Answer:
apply number to the X when x= y = 3*0-1 =-1
x=1 y = 3*1-1 = 2
x = 2 y = 3*2-1 =5
Alex is y years old. Bella is 4 years older than him .Carla is double Alex's age. The sum total of their age is 32
Form and solve an equation to work out the ages of the three children
Answer:
Alex is 7, Bella is 11, and Carla is 14
Step-by-step explanation:
Equation is 32=y+2y+(y+4)
To solve:
First combine like terms (the y's)
32=4y+4
Subtract 4 from both sides
28=4y
Divide both sides by 4 to get y alone
7 =y (Alex's age)
Bella is 4 years older than Alex so 7+4 = 11
Carla is 2 times older than Alex so 2 • 7 = 14
Their ages are supposed to add up to 32.
7+11+14
18+14
32
PLEASE HELP ME I NEED TO TIRN THIS IN AND I DONT KNOW HOW TO DO THIS !
Answer:
what grade is this ?
Step-by-step explanation:
5-1(b+2) =
3+4(3m+2n) =
Answer:
5-1(b+2) = 5-b-2=3-b
3+4(3m+2n) =3 +12m +8n
Maria ha invitado a 18 de sus compañeros de clase a su fiesta de cumpleaños .Si en total tiene 30 compañeros ,¿que porcentaje de la clase ha ido a su fiesta?
Answer:
59.9%
Step-by-step explanation:
100/30 = 3.3
3.3*18 = 59.9%
What is the y-intercept? y = -1/3x + 4
Answer:
4
Step-by-step explanation:
the y intercept is never with another variable, -1/3 would be the slope
ayo!! listen to me this is an easy question :)
Apples are on sale at the local fruit stand at 4 lbs. for $2.60. Which equation can be used to find the cost, c, of n pounds of apples?
c = 4
c = .65n
c = 2.60n
c = 8n
Answer:
B ) c = 0.65n
Step-by-step explanation:
To find how much a single pound costs, divide the total cost by the total weight (2.60 ÷ 4). So, the cost (c), equals $0.65 per pound.
2. Pierre works full time and is paid an hourly rate of $12.50 for 35 hours a week. He is paid for 52
weeks of the year. What are his total earnings for ONE YEAR?
Answer:
$22,750
Step-by-step explanation:
First, find out how much Pierre is paid per week: $12.50 x 35 -> $437.5/week
Then, multiply to find how much he is paid the whole year: $437.5 x 52 -> $22,750
Dana is buying Grandparents Day gifts at the mall. She spends $13.75 on a teacup for her grandmother. She spends
4
5
of that on a coffee mug for her grandfather. How much money does Dana spend in all?
Answer:
$24.75
Step-by-step explanation:
4/5 of 13.75 = 11
11+13.75= 24.75
Dana spends $24.75 in all.
What is an Equation ?An equation is a mathematical statement that equates two algebraic expression by an equal sign.
The data given in the question is
Dana spends $13.75 on a teacup for her grandmother
She spends 4/5 of that on a coffee mug for her grandfather.
The total amount she spends is given by $x
The equation becomes
x = 13.75 + (4/5) * 13.75
x = $24.75
Therefore she spends $24.75 in all.
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Please help for 18 points
Answer:
9 per game.
Step-by-step explanation:
45y/5x
I'm not so sure what the equation would look like