Answer:
[tex]\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}[/tex]
Step-by-step explanation:
A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,
[tex]\sf \implies p(x)=- x^3+cx^2-4x+3 [/tex]
And the factor is ,
[tex]\sf \implies g(x) = x + 3 [/tex]
Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0
[tex]\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}[/tex]
Hence the value of c is (-14)/3 .The value of c will be equal to -14/3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is p(x) =-x³+cx²-4x+3. The value of c will be calculated as,
p(x) =-x³+cx²-4x+3
p(-3) =-(-3)³+c(-3)²-( 4 x -3) +3
p(-3) = 27 + 9c +12 + 3
27 + 9c +12 + 3 = 0
9c = -42
c = -42/9
c = -14/3
Therefore, the value of c will be equal to -14/3.
To know more about an expression follow
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The graph below shows the solution to which system of inequalities
Answer:
C. y </ 3/4x +10 and y<l -1/2x - 3
Step-by-step explanation:
Basically first do process of elimination with your focus on one equation
for example :: ( >l is greater then or equal to and <l is lease then or equal to)
focus -> y >l 3/4x + 10
1) determine which line has the y-intercept of positive 10
2) is the line dotted or straight? dotted line = > or < while straight line = >l or <l
this should get rid of B and D now
3) remember this = if the slope is - then the shaded portion would be the way that the less then sign is pointing
( y <l -4x then the shaded portion would be on the left side )
remember again = if the slope is + then the shaded portion would be the way that the greater then sign is pointing
( y <l 4x then the shaded portion would be on the right side )
so the line that we are focused on would have the right side shaded which means that it would be a <l ,so the answer would be C
hope this helped you understand how to solve these a bit better!
(tbh the day I figured how to solve these problems, I swear the whole world turned 180 degrees for me. )
7g + 4g + 3g − 13g + g = 10 please help!!
Answer: g=5
Step-by-step explanation:
Given
7g+4g+3g-13g+g=10
Combine like terms
2g=10
Divide 2 on both sides
2g/2=10/2
g=5
Hope this helps!! :)
Please let me know if you have any questions
Eliz spends $16.25 each month on song downloads. At this amount, how much will Eliz spend on song downloads after two years
?
Answer:
$390.00
Step-by-step explanation:
$16.25×24=390.00
=$390.00
James is buying a chair that regularly costs $435. Today the chair is on sale for 47% off. If the tax rate is 8.5% , what is the sale price of the chair including tax
Answer: The sale price of the chair including tax = $221.83
Step-by-step explanation:
Regular price of chair = $435
Discount = 47%
Sales price = 47 % of (Regular price)
= $ 0.47 (435)
= $ 204.45
Tax rate = 8.5% = 0.085
Tax amount = Tax rate × Sales price
= 0.085 × 204.45
= 17.37825≈ $ 17.38
The sale price of the chair including tax = Sales price + Tax amount
= $ ( 204.45+17.38)
= $ 221.83
Hence, the sale price of the chair including tax = $221.83
The sum of two numbers is 46 and their
difference is 20. What is the smaller
number?
1
A) 40
B) 13
C) 26
D) 12
Answer:
B. 13
Step-by-step explanation:
We have two unknown numbers, let's have two variables for these two unknown numbers, X and Y.
"The sum of two numbers is 46 and their difference is 20."
Meaning we have two equations :
X + Y = 46
X - Y = 20
Looking at the last part of "their difference is 20." We can assume X = Y + 20
So substitute the assumed equation into X + Y = 46
(Y + 20) + Y = 46
2y + 20 = 46
Subtract 20 from both sides :
2y = 26
Divide 2 by both sides :
y = 13
There you go.
can someone help me with this please, i am not sure what to do
Answer:
I attached the graph below
Step-by-step explanation:
I started at the y-intercept, because it is where the line crosses the y-axis. Then, I used rise/run for the slope (-5/3) and went down 5 units and right 3 units. I connected the points to make the graph.
Find the ratio and unit rate.
216 cherry pieces in 6 bags of candy
Answer:
216:6 ratio
36 rate
Step-by-step explanation:
Pitágoras filósofo matemático griego biblio entre los años 500 8496 antes de Cristo A qué edad murió y cuántos años hace que murió
Answer:
if you can transfer to englis i may be able to help
Step-by-step explanation:
Find the nth term of the sequence
0, 5, 14, 27, 44......
Answer:
aₙ = 2*n*n - n -1
Step-by-step explanation:
a₁ = 0
a₂ = 5 = 2*2*2 -2-1 = 8-3 = 5
a₃ = 2*3*3 -3-1 = 18-4 =14
a₄ = 2*4*4 - 4-1 = 32-5 =27
......
aₙ = 2*n*n - n -1
Noah already has $10.50, and he earns $3 each time he runs an errand for
his neighbor. Noah wants to know how many errands he needs to run to
have at least $30.*
what is the inequality?
Answer:
3e + 10.50 ≥ 30
Step-by-step explanation:
Which expressions are equivalent to -2(5x-3/4)
1. -2(5x)+(-2)(-3/4)
2. -10x-3/4
3. -10x+6/2
4. -10x+3/2
5. -10x-6/2
Answer:
1, 4
Step-by-step explanation:
s=2πcx+3πc^2 solve for x
Answer:
x = (s - 3πc^2) / 2πc.
Step-by-step explanation:
s = 2πcx + 3πc^2
2πcx = s - 3πc^2
x = (s - 3πc^2) / 2πc.
solve : 2⁴
I need to show work
Answer:
16
Step-by-step explanation:
2 to the power 4
2 × 2 × 2 × 2 = 4 × 2 × 2 = 8 × 2 = 16
2⁴=16
2•2=4
4•2=8
8•2=16
hope i helped. (:
what is the additive inverse of -15 and 15
Answer
-15
Step-by-step explanation:
Someone help me with this
Answer:
116
Step-by-step explanation:
They are corresponding angles and therefore will be congruent :) Hope that helps!
The first snack is 270 calories for 3 servings, and the second snack is 450 calories How many servings does the snack have to have in order to equivalent to the first snack?
Answer:
5 servings
Step-by-step explanation:
Given that:
For a particular first snack to be = 270 calories;
the servings = 3
Then, for the second snack, the calories = 450.
To estimate the servings for the second snack; we need to equate the first snack with the second snack.
Let y be the value of the unknown second snack
Then:
270 calories = 3 servings
450 calories = y servings
y servings = (450 calories × 3 servings) / 270 calories
y servings = 5 servings
Thus; the second snack needs to have 5 servings in order to be equivalent to the first snack
Help me with this ASPA
Answer:
The answer is 2
Step-by-step explanation:
By using (0,_3) and (2,1)
Then
[tex]m = \frac{1 - ( - 3)}{2 - 0} = \frac{4}{2} = 2[/tex]
xis directly proportional to y.
When x=21, then y=3.
a) Express x in terms ofy.
b) Find the value ofx when y is equal to 10.
OMG HELP MEEEEEEEeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
78
Step-by-step explanation:
*6 on both sides
13*6=d/6*6
Claire received 3/8 of her allowance on Monday. What decimal shows the part of her allowance that she received?
0.375
0.75
0.83
2.6
Answer:
0.375
Step-by-step explanation:
3/8 = 0.375
k-1234=5678
what does k equal
Answer:
k=6,912
Step-by-step explanation:
5678+1234=6912
There were 220 people who voted at the 6th grade meeting. Sixty percent of the voters are in favor of changing the school mascot. How many people are against changing the mascot? Use numbers and words to explain your answer.
Step-by-step explanation:
First I had to find 60% of 220.
220 × .60 = 132.
132 people are in favor so I have to subtract that number from 220 to find how many people were against.
220-132 = 88
88 people were against changing the mascot.
im dum pls
help
4 brainliest
Answer:
2400
Step-by-step explanation:
Answer:
2400
Step-by-step explanation:
240*10=2400
Barry is 66 inches tall which best represents Barry's height in centimeters
Answer:
Barry is 167.64 inches
Step-by-step explanation:
The best represents Barry's height in centimeters is: 167.64cm
Here, we have,
given that,
Barry is 66 inches tall.
we know that,
1 inch is approximately 2.54 centimeters
Since 1 foot = 2.54 centimeters
all we need to do is to multiply 66 with 2.54
i.e. 66 × 2.54 = 167.64
The answer will be 84.
best represents Barry's height in centimeters is: 167.64cm.
Learn more about the unit conversion here:
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-5.8c +4.2 - 3.1 + 1.4c
Answer:
1.1 - 4.4c
Step-by-step explanation:
(-5.8c +1.4c)+ (+4.2 - 3.1)
in this diagram, circle A has radius = 5.6 and DC = 8. BC is tangent line, calculate the distance of BC.
Answer:
13.6 is the distance of BC
What is the slope of this line ?
Answers : 2, 1/2, 4, and -4
Answer:
2
Step-by-step explanation:
[tex]slope =\frac{rise}{run}[/tex]
[tex]\frac{rise}{run}=\frac{2}{1} =2[/tex]
good luck, i hope this helps :)
Answer:
2
Step-by-step explanation:
Thinks its 2 because every 1 on the x 2 on the y increases
Kaitlin purchased a prepaid phone card for $20. Long distance calls cost 11 cents a minute using this card. Kaitlin used her card only once to make a long distance call. If the remaining credit on her card is $15.82 , how many minutes did her call last?
Answer: 38 minutes
Step-by-step explanation:
look at the picture and yea I will give you a thank you 5 stars and brainiet
Answer:
its answer 3
Step-by-step explanation:
A rectangular prism has a base with an area of 13 square units and a volume of
109.2 cubic units. The equation shown gives the height, h, in units, of the prism.
13h = 109.2
What is the height, in units, of the prism?
Answer:
Isolate the variable and simplify.
Step-by-step explanation:
13h = 109.2
h = 109.2 ÷ 13
h = 8.4
Your answer would be 8.4 units.
Don't forget units! :)