Answer:
$16.60
Step-by-step explanation:
4 x 0.85 = $3.40
20 - 3.40 = 16.6
Dave should get back $16.60 in change.
Answer:
$16.6 dollars back
Step-by-step explanation:
The answer is $16.6 because 0.85 times 4 is 3.4 and 20 minus 3.4 is 16.6
Given f(x) = 3x^3 - 8x + k, and x – 1 is a factor of f(x), then what is the value
of k?
Answer:
k = 5
Step-by-step explanation:
Given that (x - h) is a factor of f(x) then f(h) = 0
Given (x - 1) is a factor of f(x), then f(1) = 0, that is
3(1)³ - 8(1) + k = 0
3 - 8 + k = 0
- 5 + k = 0 ( add 5 to both sides )
k = 5
The value of k in the polynomial f(x) = 3x³ - 8x + k is 5.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, f(x) = 3x³ - 8x + k, and (x - 1) ⇒ x = 1 is a factor of f(x),
∴ If we replace 1 in place x and make f(x) = 0 and equate we will have the value of k.
So, 0 = 3(1) - 8(1) + k.
0 = 3 - 8 + k.
k = 5.
learn more about factor of a polynomial here :
https://brainly.com/question/28315959
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Brainliest!!
Which of the following angle pairs are supplementary?
A. 40 and 50
B. 111 and 79
C. 36 and 64
D. 111 and 69
Answer:
d
Step-by-step explanation:
BC supplementary means they add up to 180 and answer d adds up to 180
HELP ME
please help me :,(
algebra
what are the roots, and y intercept of g (x)?
f (x)=(x-2)(x+3)(x-4)(x+1)
g (x)= -f (x+3)
Answers:
Roots of g(x) are: -1, -6, 1, -4
Y intercept of g(x) is: 24
==============================================
Explanation:
Part 1) Finding the roots of g(x)
To do this, we need the roots of f(x). Plug in f(x) = 0 and solve for x using the zero product property.
f(x) = (x-2)(x+3)(x-4)(x+1)
0 = (x-2)(x+3)(x-4)(x+1)
(x-2)(x+3)(x-4)(x+1) = 0
x-2 = 0 or x+3 = 0 or x-4 = 0 or x+1 = 0
x = 2 or x = -3 or x = 4 or x = -1
Those four x values are the roots of f(x). Plugging any of those values into f(x) leads to f(x) = 0.
Now onto g(x). We see that g(x) = -f(x+3). The x+3 indicates the xy axis has been shifted by 3 units to the right. This gives the illusion the f(x) curve is shifted 3 units to the left. This will move each root 3 units to the left as well.
The root x = 2 on f(x) moves to x = -1 on g(x). We subtract 3 from the first x value to get the second x value.The root x = -3 on f(x) moves to x = -6 on g(x). Same idea as above.The root x = 4 on f(x) moves to x = 1 on g(x).The root x = -1 on f(x) moves to x = -4 on g(x).The four roots of g(x) are: -1, -6, 1, -4
------------------------------------------------
Part 2) The y intercept of g(x)
Let's plug x = 0 into g(x) to see what happens
g(x) = -f(x+3)
g(0) = -f(0+3) ... replace every x with 0
g(0) = -f(3)
We don't know f(3) yet, but we can plug x = 3 into f(x) to find out
f(x) = (x-2)(x+3)(x-4)(x+1)
f(3) = (3-2)(3+3)(3-4)(3+1)
f(3) = (1)(6)(-1)(4)
f(3) = -24
Therefore,
g(0) = -f(3)
g(0) = -(-24)
g(0) = 24
The y intercept of g(x) is 24.
what is x divided by 2= 4.5 Pls help with this.
Answer:
9
Step-by-step explanation:
9/2= 4.5
what is 2x=9 I need help asap plzzzzz
Answer:
4.5
Step-by-step explanation:
2x=9
x=9/2
=4.5
Answer:
x = 4.5
Step-by-step explanation:
[tex]2x=9\\\\\text{Divide both sides by 2.}\\\\\frac{2x=9}{2}\\\\\boxed{x=4.5}[/tex]
Hope this helps.
what is 5 times (2+8)+(12-6/3)times2
Answer:
5(2+8)+(12-6/3)2
5(10)+(12/1-6/3)2
50+(36/3-6/3)2
50+(30/3)2
50+60/3
50+20
70
Step-by-step explanation:
Answer: 70
If the equation is [tex]5(2+8)+(12-\frac{6}{3} )2[/tex]
[tex]5*10+(12-2)*2[/tex]
[tex]5*10+10*2[/tex]
[tex]10(5+2)[/tex]
[tex]10*7[/tex]
Answer: 70
Please mark brainliest if correct :)
which of these statements is true for f(x)=3x9^x
Answer:
a
Step-by-step explanation:
Marisa has studies 1 1/2 hours today.That is 3/10 of the time ahe plans on studying today.How long does Marisa plans on studying today? Need help!!!!!
Answer:
Marrisa plans on studying for 5 hours today!
Step-by-step explanation:
1.5 hours = (3/10) of X ...... where X is the "number of hours she plans on studying today" and OF means to multiply....
so..... 1.5 = (3/10)X
then you will solve for X!
Multiply by 10 on both sides and you get: 15= 3X
then divide by 3 on both sides and you get your answer! 5 = X
solve using substitution method.
y=5,696x+25)
y = 9.49(x+6)
please help i answered but i just want to make sure it’s correct!
Answer:
y=56.9933034497, x=.00561680186
Step-by-step explanation:
I need help on this, I don't get this
=============================================
Work Shown:
Isolate y in the first equation
2x+y = 5
y = 5-2x .... subtract 2x from both sides
y = -2x+5
Then plug this into the other equation
-3x - 5y = 3
-3x - 5( y ) = 3
-3x - 5( -2x+5 ) = 3 .... replace y with -2x+5
-3x + 10x - 25 = 3 .... distribute
7x-25 = 3
7x = 3+25 .... adding 25 to both sides
7x = 28
x = 28/7 .... divide both sides by 7
x = 4 is the answer
-------------------------------------
Optional Section:
Use this value of x to find y
y = -2x+5
y = -2(4)+5
y = -8+5
y = -3
Then we can check our answers by plugging them into the original equations
2x + y = 5
2(4) - 3 = 5
8 - 3 = 5
5 = 5
That confirms the first equation. Repeat for the second equation
-3x - 5y = 3
-3(4) - 5(-3) = 3
-12 + 15 = 3
3 = 3
We've confirmed both equations, so (x,y) = (4, -3) is the solution to this system. This system is considered independent and consistent.
Graphing the two original equations will show that they intersect at (4, -3).
is the correct rate 1.20$ per hotdog?
Answer:
true
Step-by-step explanation:
Consider the equation 1.5x+4.5y=18. If we graph the equation, what is the
slope of the graph?
m= 3
m = 1.5
m = 4.5
m = -1/3
x = 7x - 5 = 2x + 5
Answer:
X = 10/9
Step-by-step explanation:
7x - 5 = 2x + 5
7x - 2x = 5 + 5
9x = 10
X = 10/9
Kelsey measured the sides of a porch to determine if it is a right triangle. Does her porch with side lengths of 42 feet,
56 feet, and 70 feet form a right triangle?
Yes, because 422 +582 702
Yes, because 422 +562 = 70.
No, because 422+562 702.
No, because 422+562 = 702.
(it's b)
Answer:
yes because 422+ 562= 70
Please help thank you!!!
Brainliest 5 stars Thanks!
Which values from the given replacement set make up the solution set of the inequality? 2b≥6;
A) { 3, 4}
B) {2, 3, 4}
C) {1, 2, }
D) {1, 2, 3}
HELP PLZZZZ
1.) is 67.95 an integer
2.) is 54/9 an integer
3.) is 19 an integer
4.)is 544.88 an integer
5.) is 7/6 an integer
Answer:
Step-by-step explanation:
no
no
yes
no
no
an integer is a whole number positive or negative or zero.
... ,-3,-2,-1,0,1,2,3,... are integers.
Given that RHMO is a rhombus, find x, given that m ∠ 3 = 8x - 6
Answer:x = 12
because RHMO is a rhombus => MH⊥RO
=> m∠3 = 90°
⇒ 8x - 6 = 90°
⇔ 8x = 96
⇔ x = 96/8 = 12
Step-by-step explanation:
the product of -3/4 and a number x is -27. on writing the equation and solving it x=
Answer: -3/4*x=-27
x=36
Step-by-step explanation:
-3/4*x=-27
Divide on -3/4 on both sides:
-3/4/-3/4*x=-27/-3/4
x=36
can someone help me plz
i need #6,7,8
7. subtract 3
x=(-2)
x=2
8. 8c-4=20
add 4
8c=24
divide 8
c=3
9.[tex]\frac{h+9}{5} =\frac{h-1}{3} \\[/tex]
help pls i’ll give out extra points
Answer:
The answer is similar, AA similar.
Step-by-step explanation:
The triangles are obviously similar; but we only know that because of the two identical angles. (AA)
Please mark Brainliest!
PLEASE HELP ASAP I FORGOT HOW TO DO THIS!
Answer:
its A
Step-by-step explanation:
Please help me I am stressed it is ratio tables
Answer:
1.
1/2/3/4/5/32
3/6/9/12/15/96
2.
1/2/3/4/5/12
8/16/24/32/96
3.
2/4/6/8/10/12
3/6/9/12/15/18
Step-by-step explanation:
ratios are basically in "#:#" form. then put that in a table. remember that for each one of one thing, it is equivalent to another thing. it might be easy to count it. good luck
Erica opens a bank account to save for college. She makes an intial deposit of 3,000!Into an account that pays 3% interest compounded continuously the formula below is the appropriate model for the situation use it to determine how long it will take her to reach a balance of 8,400
Answer:
35 years
Step-by-step explanation:
A= P(1 + r)^n
A= $8400
r= 3%
n= ?
P= $3000
8400 = 3000(1 + 0.03)^n
8400/3000 = (1 + 0.03)^n
log2.8 = log (1.03)^n
log 2.8 = nlog 1.03
n=log 2.8/log 1.03
n= 35 years
slope -3/4 and y-intercept 9.
Answer:
The equation would be:
Y=-3/4 + 9
Step-by-step explanation:
Hope it helps.
Brianna is solving the equation -5 + 6(6x + 6) = 1 + 6x. Her steps are shown.
Step 1: -5 + 36x + 36 = 1 + 6x
Step 2: 36x + 41 = 1+ 6x
Step 3: 30x + 41 = 1
monts
sents
Step 4: 30x = -40
4
Step 5: x = -
3
A: Identify the first step in which Brianna made an error.
B: Write the correct solution to Brianna's original equation.
Answer:
Part A: Brianna made a error on step 2. Because it has to be + 31 not + 41 cause it is a -5+36
Part B: x= -1
Step-by-step explanation:
This is how it should have been done.
Step 1: -5+6(6x+6)= 1+6x
Step 2: -5+36x= 36=1+6x
Step 3: 36x+31= 1+6x
Step 4: 36x= 6x-30
Step 5: 30x= -30
Step 6: x= -1
Can you help me please
Answer:
(-5, 7)
Step-by-step explanation:
Answer:
(7,-5)
Step-by-step explanation:
the layout of the coordinate point always goes (x-axis, y-axis), aka (x,y).
so, to do this, you first find the line on the x-axis that coordinate "f" falls on, which would be line 7 on the x-axis.
then, you find the line on the y-axis that coordinate "f" falls on, which would be line -5 on the y-axis.
I hope this was helpful, let me know if there's any questions, as well as if you got it correct :)
withdraws $ from bank account once each day for days. What integer represents the change in the amount in the account? Use pencil and paper. Find the integer that would represent the change in the amount in the account if deposits $ into bank account once each day for days. Explain the difference between the integer for the withdrawals and the integer for the deposits.
Answer:
a. Sam withdraws $11 from his account. That means his account balance reduces by $11 so the integer is -$11.
He does this 4 times so;
= 4 * -11
= -$44
b. He then deposits $11 once every day for 4 days.
= 4 * 11
= $44
c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.
I need help T-T hehehehehehehe
Answer:
hehhehhe what the other guy said lol 10+9=21