(x+5)(x - 1) is a factor of p(x) = x² - 4x - 5
We can see that by applying polynomial long division or by applying synthetic division, both of these methods will give the same result.
x² - 4x - 5 = (x + 5)(x - 1)q(x) + r(x)
where q(x) and r(x) are the quotient and remainder of the polynomial division respectively. Since r(x) = 0, it means (x + 5)(x - 1) is a factor of p(x) = x² - 4x - 5.
To rent a limousine, Theo must pay an initial fee of
$
45
in addition to
$
12
for every hour (
h
) he has the limousine reserved. To calculate the final cost (
c
), Theo wrote the following equation.
c
=
45
+
12
h
If the final bill amounts to
$
123
, how many hours did Theo have the limousine reserved
Answer:
6.5 hours
Step-by-step explanation:
123-45=78
78/12=6.5
Theo had the limousine reserved for 6.5 hours.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Theo's equation for the cost of renting a limousine is:
c = 45 + 12h
where c is the total cost,
and h is the number of hours reserved.
If the final bill amounts to $123,
we can set c equal to 123 and solve for h:
123 = 45 + 12h
Subtracting 45 from both sides:
78 = 12h
Dividing both sides by 12:
h = 6.5
Therefore, Theo had the limousine reserved for 6.5 hours.
Learn more about algebraic Expression here:
https://brainly.com/question/953809
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Mr Lee bought 3 packs of meat for barbecue party. Each packs weighed 7 1/2 kg. The price for the meat was $3 pork. How much did Mr Lee bought?
Answer:
68.5
Step-by-step explanation:
each pack 7.5 kg
price for each pack $3
he bought 3
7.5 x 3=22.5
22.5 x3=66.5
An equilateral triangle has a side length of 30.
Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?
Answer:
x=9
y=3
Step-by-step explanation:
since all three sides of an equlateral triangle are equal:
3x+y=30 then y=30-3x
4x-2y=30
4x-2(30-3x)=30
4x-60+6x=30
10x=90
x=9
3x+y=4x-2y
x=3y
y=3
A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost? _____
Answer:
$20
Step-by-step explanation:
25-5=20 that is your answer
Answer:
15 dollars
Step-by-step explanation:
Factor: 42x + 14 *
Please help me with this question
Answer:
x = 0.3333333333
Step-by-step explanation:
Simplifying
42x = 14
Solving
42x = 14
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '42'.
x = 0.3333333333
Simplifying
x = 0.3333333333
Find |14.06|= I'm having trouble with this.
Answer:
14.06
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between 0 and 14.06 is 14.06.
Answer:
14.06
Step-by-step explanation:
|14.06| means the absolute value of 14.06, which is 14.06!
Hope that helps!
6. If ABCD is a square and AD = 11. find each missing value.
B
BC=
mZDAB =
AC =
m2AEB =
BD =
mZCBD =
EC =
mZBAC =
D
Answer:
All sides will be 11 and all angles will be 90 degrees.
Step-by-step explanation:
As all sides of square are equal. And all angles are right angled.
Hope it helped!!
help please
15 − 20 + (−15) + (+20)=
Answer:
-5+5
= 0
Step-by-step explanation:
Answer:
-5+5
= 0
Step-by-step explanation:
14 = 3y - 4
Help me pls
Answer:
y = 6
Step-by-step explanation:
I'm going to assume you want to solve for y.
Step 1: Move all constants to 1 side, isolating y and its coefficient:
14 = 3y - 4
14 + 4 = 3y - 4 + 4
18 = 3y
Step 2: Divide both sides by 3 to solve for y:
3y = 18
3y / 3 = 18 / 3
y = 6
Final answer: y = 6
a line that passes through the point (2,-1) and has a slope of -3
Answer:
y=3x-7
Step-by-step explanation:
i plotted the point, and used the slope to get the equation
Jesse wants to have $ 500,000 in his IRA when he retires in 40 years. He is able to invest in an IRA that will yield 2 % compounded monthly. How much will Jesse need to invest into his IRA each month to reach his goal?
P=B(r/n)/(1+r/n)^nt-1
A. $ 374.69
B. $ 436.72
C. $ 556.69
D. $ 680.79
Answer:
Your answer is D.
Step-by-step explanation:
Simplify the followimg
(1 1/2) ^-2 step by step explanations plzzzzzzzz
Answer:
4/9
Step-by-step explanation:
sorry if wrong i don't know how to explain it also
Answer:
Convert 1 1/2 to an improper fraction.
3/2⋅2
Cancel the common factor of 2.
3
Find the measure of the indicated angle to the nearest degree.
PLS URGENT HELP
Hello person could you possibly help me with this question?
Answer:
1)whole numbers
2)integers
3)rational numbers
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.
Answer:
third angle =180-two congruent angles. is expression.
What is the position
number of the term
125 in the sequence
f(n) = 2n+3?
Answer:
61st term in the sequence
Step-by-step explanation:
125 = 2n + 3
122 = 2n
n = 61
Evaluate 517 - 91 - 2.
01
-12
00
o
Answer:
its C. 8 :) please give me brainlist
84 miles in 12 days how many miles a day
Answer:
7 miles per day
Step-by-step explanation:
Solve:
84 divided by 12
Check:
12 multiplied by 7
Hope this helps!
Need help asap !!!!! its math! WI GIVE BRAINLIEST AND A FOLLOW
AND PLEASE SHOW HOW U GOT THE ANSWER Quick
QUESTION:
33 1/3 as a fraction
95 divided by 9 please helppppppp
Answer: 95 divided by 9 is 10.5 BUT WITH THE 5 REPEATING
Step-by-step explanation:
need help please
to find X
Answer:
[tex] \boxed{x = 86 \degree}[/tex]
You deposit $400 Into a bank account. The account pays 2.75% annual interest compounded semi-annually. Find the balance after 5 years
Answer:
$452.56
Step-by-step explanation:
400 * 1.025^(5)
4−2(3+7)=4−23−27
Is this true or fasle
Answer:
false
Step-by-step explanation:
Which of the following is equvalent to (16^3/2)^1/2
A. 6
B. 8
C. 12
D. 64
Step-by-step explanation:
b 8 is the answer
simplify to2^4^(3/4) then 2^3 then that simplies to 8
El área cuadrada de un tablero de ajedrez mide 1681 cm².¿Cuál es la medida de cada uno de sus lados?
Los lados es = sqrt(1681)
=41cm
SMART PPL PLEASE HELP MEEEE
Answer:
it's 80% of 125
the value of x = 125
Step-by-step explanation:
Approximately the distance d in miles that a person can see the horizon is represented by the
equation du
where h is the height where the person is. (1mile = 1609.3 m).
4
Step-by-step explanation:
bonjour quelqu'un peut-il se joindre à zo om Numéro d'identification 77974021488 le mot de passe 9taPHH
Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells.
Answer:
34+12x=100 12x=66 x=66/12=11/2 answer:11/2
Step-by-step explanation:
Answer:
[tex]12n+34>100[/tex]
Step-by-step explanation:
Let d be the number of days.
We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.
We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: [tex]12n+34[/tex]
As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100.
Work out the sum of 1/6 , 4/5 and 2/3 Give your answer as a mixed number in simplest form.
Answer:
1 29/30
Step-by-step explanation:
First find the least common denominator of 1/6, 4/5, and 2/3. The least common denominator of that list is: 30.
So let's convert all of these fractions to a denominator of 30.
Here are the newly converted fractions:
5/30, 24/30, 20/30.
So now add all of them together. 5/30+24/30+20/30=(5+24+20)/30, which is equal to: 49/30 = 1 19/30.
In a basketball game, Sally is the top scorer with 35% of the team's
points. If the team scored 120 points in total, how many points did Sally
score?
Answer:
she scored 42
Step-by-step explanation:
Answer:
vyvv6
Step-by-step explanation:
6g6t5g6g66ftce6tswftzadtxevyze