PLSSS HELP ASAP
solve questions 1-5 please
#1. 4x^2 + 17 - 15 = 0
Use the roots given, and plug them in to a factored form. Then, foil! It can also be helpful to multiply the equation to get rid of decimals/fractions.
(x - 3/4)(x + 5) = 0
x^2 - 3/4x + 5x - 3 3/4 = 0
x^2 + 4.25 - 3.75 = 0 (multiply everything by 4)
4x^2 + 17 - 15 = 0
#2. y = 0, -4
Both 4y^2 and 16y contain a 4 in the coefficient and a y in the variables. Therefore, we can factor out a 4y from each.
4y(y + 4) = 0
Then, set both parts of the factored equation equal to 0.
4y = 0
y = 0
y + 4 = 0
y = -4
#3. a = 0, -3
Both 6a^5 and 18a^4 contain a 6 in the coefficient and an a in the variables. Therefore, we can factor out a 6a^4 from each.
6a^4(a + 3) = 0
Then, set both parts of the factored equation equal to 0.
6a^4 = 0
a = 0
a + 3 = 0
a = -3
#4. x = -8
We are looking for two terms that multiply to equal a * c, and add up to equal b. We know that 8 + 8 = 16, and 8 * 8 = 64. There are no negatives in this equation, therefore both signs in our factored form are positive.
(x + 8)(x + 8) = 0
x + 8 = 0
x = -8
#5. x = -8, 8
First, subtract 64 from both sides. The key word here is 'factoring.' If this was not present, there is a different way (which may be easier for some).
x^2 = 64
x^2 - 64 = 0
Next, use the difference of two squares property to factor (x - c)(x + c), and set the two binomials equal to 0.
(x - 8)(x + 8) = 0
x - 8 = 0
x = 8
x + 8 = 0
x = -8
Hope this helps!! :)
What is the minimum value of the function g(x) = x^2 - 6x - 12?
9514 1404 393
Answer:
-21
Step-by-step explanation:
I find it convenient to read the value from the graph created by a graphing calculator. The minimum is -21.
__
The function can be rearranged to vertex form, which also shows the minimum value.
g(x) = (x^2 -6x +9) -12 -9*
g(x) = (x -3)^2 -21 . . . . . . . . vertex form
The vertex is (3, -21), so the minimum is -21.
_____
* we added the square of half the x-coefficient inside parentheses, and its opposite outside parentheses. This makes the expression inside parentheses a perfect square trinomial.
Answer:
-21
Step-by-step explanation:
i did it
I need help solving 7 = s + 1.75?
Answer:
5.25
Step-by-step explanation:
7 - 1.75 = 5.25
Answer:
s = 5.25
Step-by-step explanation:
7 = s + 1.75
Subtract 1.75 from both sides.
7 - 1.75 = s + 1.75 - 1.75
5.25 = s
Which function results after applying the sequence of transformations to
(x) = x^5?
• compress vertically by
1/2
• shift left 2 units
• shift down 1 unit
Please answer !!!!! Will give brainliest!!!!
Noah's family also wants to blow up a total of 60
balloons for the party. Yesterday they blew up 24
balloons. Today they want to split the remaining balloons
equally between four family members.
Answer: They each will get 9 balloons
Step-by-step explanation: I got my answer by doing 60-24=36 then i divided it between each of the 4 family members with equals 9 per famil member!
Write 43.75 as a reduced fraction.
Answer: 43 3/4
Step-by-step explanation:
Reduce means simplify
43.75= 43 75/100
you can dive each side of 75 and 100 by 5
it will get you to 43 15/20
again it is not reduced dived by five once more
it will get you to 43 3/4
Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds that the number of bacteria doubled each day—from 5 to 10, then from 10 to 20, and so on.
Is the population of bacteria a function of the number of days? Explain your reasoning.
Answer: Yes, this is a function, and the function is:
population = y = f(d) = 5*(2)^d
Step-by-step explanation:
If the population doubles each day, we will have an exponential growth, that can be written as
f(d) = A*(r)^d
Where:
A is the initial population. (in this case 5)
r is the rate of growth.
d is our variable, in this case the number of days
then:
f(d) = 5*(r)^d
such that:
f(0) = 5*(r)^0 = 5
after one day, we should have the double of 5, this is 10:
f(1) = 10 = 5*(r)^1 = 5*r
10 = 5*r
10/5 = r
2 = r
Then the equation that tells the population of bacteria is:
y = f(d) = 5*(2)^d (at least for the first four days, we do not know what happens after that)
Is the population of bacteria a function of the number of days?
Yes, this is a function because for each input d, we have only one output y.
Jim rented a truck for one day. There was a base fee of $19.95 , and there was an additional charge of 78 cents for each mile driven. Jim had to pay $221.97 when he returned the truck. For how many miles did he drive the truck?
Answer: 109
Step-by-step explanation: add 19.95 to 79 then subtract it from 221.97
PLEASE HELPPP
Which triangles are similar? Which sides are proportional?
Answer:
Triangle CBB1 and Triangle CAA1 are similar and line B to B1 and line A to A1 are proportional.Step-by-step explanation:
Answer:
ΔAC[tex]A_{1}[/tex] ≈ Δ[tex]B_{1}[/tex]CB
Step-by-step explanation:
proportional sides:
AC ≈ [tex]B_{1}[/tex]C
C[tex]A_{1}[/tex] ≈ CB
A[tex]A_{1}[/tex] ≈ B[tex]B_{1}[/tex]
What is the length of BC?
pls help
Two number cubes are rolled. Each number cube is labeled 1 through 6. What is the probability that both number cubes land on 1? O A 1 36 O B. 1 Ос. OD 6
Answer: a or b
Step-by-step explanation:
Answer:
It is A: 1/36
Step-by-step explanation:
With one cube the probability for it to land on 1 is 1/6. But when you add another cube in there you are multiplying the 1/6 by 2 which gives you 1/36
The top five motor vehicle producers in the world are listed with the number of vehicles produced in 2010 (in thousands of vehicles). Round to the
thousandths place. 3 decimal places.
China
16,144
Japan
9,197
United States
7,632
Germany
5,700
South Korea
4,184
Choose one vehicle at random;
a. What is the probability that is was produced in the United States?
AnyONE 25 points ???please help ASAP
Answer:
Slope is 2/5
Step-by-step explanation:
Take two points, (2,2) and (7,4) and solve using the slope fomula
of "m = y2 - y1/x2 - x1"
(2,2) and (7,4)
m = y2 - y1/x2 - x1
m = 4 - 2/7 - 2
m = 2/5
A graph of a linear function has a slope of and contains
3
the point (0,2). Which of these represents the equation of
this function?
Step-by-step explanation:
x-0/y-2=3
x=3y-6
3y-x=6
Answer:
The required line equation of the function is:
[tex]y = 3x + 2[/tex]
Please also check the attached graph.
Step-by-step explanation:
The slope-intercept form of the linear or line function
y = mx+b
where
m is the rate of change or slope b is the y-interceptGiven
Slope m = 3Point (0, 2)We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
We are given the point (0, 2)
It means,
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting m = 3 and b = 2 in the slope-intercept form of the linear or line function
[tex]y = mx+b[/tex]
[tex]y = 3x + 2[/tex]
Therefore, the required line equation of the function is:
[tex]y = 3x + 2[/tex]
Please also check the attached graph.
Let $P$ be the set of $42^{\text{nd}}$ roots of unity, and let $Q$ be the set of $70^{\text{th}}$ roots of unity. How many elements do $P$ and $Q$ have in common
Answer:
The answer to the given question can be defined as follows:
Step-by-step explanation:
[tex]\to GCF(42, 70) = 7[/tex]
Therefore, the common roots of unity were
[tex]\to e^{\pm i 2\pi \frac{k}{7}}\\\\\ where \\ \\ k=0,1,...... 6[/tex]
That's why the answer is 14 for these
what is the exact value of cos(c+d), given sin c=24/25 for c in quadrant 2 and cos d=-3/4 for d in quadrant 3
Answer:
1 3/100
21-24squareroot7/100
21
=24squareroot7/100
Step-by-step explanation:
Answer: d or 21+24square root 7 over 100
Step-by-step explanation:
The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall? Write your answer as just a number rounded to the nearest tenths, no units.
Answer:
If no units then find the square of 135 to get the answer
Step-by-step explanation:
Ok so Um.help me plz
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
wow..not so good.. :D Janet
18 + 42 = 60 total question
what percent of 60 is 18 then
18 / 60 = .30*100 = 30% :)
What is the best fast food restaurant ever?
Answer:
Taco time
Step-by-step explanation:
Now I'm hungry for tacos
Freddy's froze. custard
Ashley competes 36 sit-ups in 2 minutes. What is the unit rate?
Answer:
18 sit up is the unit rate
Factor 2x^3-14x^2+20x PLEASSEEE HELP
Answer:
2x(x-5)(x-2)
Step-by-step explanation:
Please help!Divide. Write the quotient in lowest terms.
Step-by-step explanation:
2/3 is answer .........
Identify the like terms.
7 + 4p - 5 + p + 2y
A: 4p, -5, 2y
B: 4p, p, 2y
C: 7, 5 AND 4p, p
D: 7, -5 AND 4p, p
Answer:
D:7, -5 AND 4p,p
Step-by-step explanation:
B/c like terms are terms with the same variable and exponent.
If it's helpful ❤❤
THANK YOU.
Solve: one seventh + nine fourteenths = _____
Select one:
a. ten fourteenths
b. eleven fourteenths
c. ten sevenths
d. eleven sevenths
Answer: 11/14, also known as eleven fourteenths
Step-by-step explanation:
Hope this helped ! :)
Find the measure for angle DEF
Answer:
Step-by-step explanation:
∠DEF=90-58.2=31.8°
evaluate the expression 3x+5 when x=10
Answer:
35
Step-by-step explanation:
3(10)+5
35
Answer:
35
Step-by-step explanation:
[tex]3x+5[/tex]
Plug 10 into the expression as [tex]x[/tex]
[tex]3(10)+5\\= 30+5\\= 35[/tex]
I hope this helps!
In 2016, the cost of 2 ounces of pure gold was $2,640. How much did it cost for 1 ounce of pure gold? *
Answer:
$1320
Step-by-step explanation:
Given data
Cost of two ounces =$2,640
Let the cost of one ounce be x
So if 2 ounces cost $2,640
1 ounces will cost x
Cross multiply
2x=$2,640
Divide both sides by 2
x=$2,640/2
x=$1320
Antonio rented a bike from Alberto's Bikes. It cost $11 plus $4 per hour. If Antonio paid
$31, then she rented the bike for how many hours?
Answer:
5 hours
Step-by-step explanation:
31-11 = 20
20/4 = 5
which ordered pair describes the origin?
A) (0, 0)
B) 1, 1)
C) (0, 1)
D) (1, 0)
Answer:
a
Step-by-step explanation:
because the origin is where the lines meet. So its in the middle making it (0,0)
