Answer:
ac - ad + bc - bd - 9e
Step-by-step explanation:
if x^3+ax^2-18x+b = (x+5)(x-4)(x+2) what is a and b
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[tex] (x + 5)(x - 4)(x + 2) = [/tex]
[tex](x + 5) ({x}^{2} - 2x - 8) = [/tex]
[tex] {x}^{3} - 2 {x}^{2} - 8x + 5 {x}^{2} - 10x - 40 = \\ [/tex]
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
_________________________________
Compare :
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
[tex] {x}^{3} + a {x}^{2} - 18x + b[/tex]
Thus :
[tex]a = 3[/tex]
and
[tex]b = - 40[/tex]
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Solve problem in photo 8th math
Answer:
I did this test it Is b
Step-by-step explanation:
Answer:
The answer is B 16
Step-by-step explanation:
The square root of it is 15.9059737206 but if you round it the closest answe is B.
Which expression represents "4 times the sum of x and 7"
Answer:
4 (x + 7)
Step-by-step explanation:
Answer:
4(x+7)
Step-by-step explanation:
First, start with the terms x and 7, the expression calls for their sum so addition is the needed operation. Then, 4 times the sum means that 4 must be multiplied after x and 7 are added. So because of PEMDAS parentheses are needed around x+7. Therefore the expression is 4(x+7).
Which equation describes the line that passes through (-3,1) and is parallel to the line described by y =4x+1
∠A and \angle B∠B are complementary angles. If m\angle A=(3x+9)^{\circ}∠A=(3x+9)
∘
and m\angle B=(x-11)^{\circ}∠B=(x−11)
∘
, then find the measure of \angle A∠A.
Answer: 78*
Step-by-step explanation: Look at pic
Solve x for me please I need it!!!
Answer:
The angle x° = 34°
Step-by-step explanation:
Given the right-angled triangle
right angle = 90° Given the angle = 56°We know that the sum of angles of a triangle = 180°
so
90° + 56° + x° = 180°
x° = 180°- 90° - 56°
x° = 34°
Therefore, the angle x° = 34°
find the solutions for the quadratic equation by completing the square x^2+18x+63
Answer:
x=−9±3√2
Step-by-step explanation:
What is the value of the function y=2x−3 when x=−1?
−5
−1
2
3
Answer:
-5
Step-by-step explanation:
As, x = - 1
So 2(-1)-3 = - 2 - 3 = - 5
So y = - 5
Which are correct statements regarding proofs? Select three options.
Vx
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
O A flowchart proof gives a visual representation of the sequence of steps without justifications.
A flowchart proof is a visual way of describing the statements and reasons for a proof.
A two-column proof lists only the given information and what is to be proven.
Answer:
the answer is c hope u get it right
Step-by-step explanation:
A flowchart proton gives valuable represent state mental and resions
Answer:
The correct answers are:
A) In a paragraph proof, statements and their justifications are written in sentences in a logical order.
B) A two-column proof consists of a list statements and the reasons the statements are true.
D) A flowchart proof is a visual way of describing the statements and reasons for a proof.
Step-by-step explanation:
edge 2021 got it right
Margaret has $200 in her savings account. She will save $50 more dollars each week and not take any money out of the account. Which table represents this situation?
will mark brainliest
Answer:
12 sq units
Step-by-step explanation:
In the equation a+b=8, what is the value of a if b= -1
Answer:
9
Step-by-step explanation:
a + b = 8
a + (-1) = 8
a - (-1) = 8 - (-1)
a = 9
How many solutions does 1.25x+4=1.00x+6 have
Answer:
One solution which is 8
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Please I need someone to answer this !
Answer:
Step-by-step explanation:
Put 1/5 x 3 and that is the answer
Chase read a total of 6 books over 2 months. After belonging to the book club for 4 months, how many books will Chase have read in all? Assume the relationship is directly proportional.
? books
Answer:
12
Step-by-step explanation:
In a collection of dimes and nickels, the number of dimes is five less than three times the number of nickels. The value of the collection is $5.80.Let D represent the number of dimes and N represent the number of nickels. You need to know how many of each type of coin there is. Make "LET" statements and write a system of equations to model this situation. Check your answers.
Answer:
D= 3N-5
0.10D+0.05N=5.80
Step-by-step explanation:
So, Let D represents the number of dimes
N represents the number of nickels.
For the given statement "The number of dimes is 5 less than 3 times the N"
So, we could set up equation as
D=3N-5
Now, for the statement "The value of collection is $5.80"
So, we can set up equation for this as (please remember 1 dime is same as $0.10 and 1 nickel is same as $0.05)
0.10D+0.05N=5.80
Charlotte's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Charlotte's curtain company wants to make 53 curtains, how many feet of fabric will she need?
Answer:
159 feet of fabric
Step-by-step explanation
We are told that 1 curtain is 36inches long
Since 1 foot = 12inches
x foot = 36inches
Cross multiply;
12 * x = 36
12x = 36
x = 36/12
x = 3
Hence 36inches is same as 3 feet
If Charlotte's curtain company wants to make 53 curtains, the length of 53 curtain is expressed as;
1 curtain = 3feet
53 curtain = y
y = 53 *3
y = 159 feet
Hence she will need 159 feet of fabric
find the slope of the line through each pair of points ( 3, 11) , (3, -10)
Answer:
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Step-by-step explanation:
Since it is a vertical line and there is no run only rise.
Ifa line segment has a length of 12 units and after a dilation the image
length is 4 units, what was the scale factor?
A. 1/3
B. 3
C. 8
================================================
Work Shown:
x = preimage length = 12
y = image length = 4
z = scale factor
z = y/x
z = 4/12
z = (1*4)/(3*4)
z = 1/3
The scale factor is 1/3.
This means the image is 1/3 of the length of the preimage.
What is the order for this?
need help ASAP
thanks
Answer:
Crust, mantle, outer core, inner core
Step-by-step explanation:
What’s 16.0+8.49
By showing work?
Answer:
24.49
Step-by-step explanation:
16.00
8.49
____
24.49
Item 1
Solve the equation.
3h=15
h=
Answer:
h=5
Step-by-step explanation:
Jess earns 5% cash back at restaurants. If she spent $213 at restaurants
this month, how much cash back will she receive?
Answer: Jess will get $10.65
Josh borrowed $50,000 from the bank to buy a new truck. The bank is going to charge him an interest rate of 6.9%. If his loan lasts 39 months, choose the correct equation to determine Josh's simple interest.
Answer:
The simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100
Step-by-step explanation:
The formula for calculating simple interest is expressed as;
SI = Principal * rate * time/100
SI = 50,000 * 6.9*39/100*12
SI = 500*6.9*39/12
SI = 134,550/12
SI = 11,212.5
Hence the simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100
P is the amount borrowed
R is the interest rate
T is the time in years
ANSWERPLSS
answer choices:
a. -2
b. 1/2
c. f(x)
d. x
A candy maker is mixing up some sugar syrup for use in making sweets. How much of 30% sugar syrup should she add to 12 liters of 20% sugar syrup to obtain a mixture that contains 26% sugar? Write your answer as a whole number or as a decimal rounded to the nearest tenth.
Answer:
She should add 18 liters of 30% sugar syrup
Step-by-step explanation:
Let the amount of sugar syrup be x
Mathematically;
30% of x liters + 20% of 12 liters = 26% of (x + 12)
So, we have
0.3x + 2.4 = 0.26x + 3.12
0.3x-0.26x = 3.12-2.4
0.04x = 0.72
x = 0.72/0.04
x = 18
Which set of ordered pairs represents a function? (1 point)
A) {(0, 1), (1, 3), (1, 5), (2, 8)}
B) {(0, 0), (1, 2), (2, 6), (2, 8)}
C) {(0, 0), (0, 2), (2, 0), (2, 4)}
D) {(0, 2), (1, 4), (2, 6), (3, 6)}
a car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one day rental?
Answer: 34+ 0.50= 34.5. And 20 + 0.75=20.75. So they are not equal
Step-by-step explanation: I used a calculator
Patrick starts hiking at an elevation of -418 feet. He ascends to an elevation of 387 feet and then descends to an elevation 94 feet higher than where he began. He descends 132 feet. What is the elevation of where he stops hiking?. Single line text.
Between them Molly and Sue have 32 marbles. Molly has 3 times as many as Sue. How many marbles does each girl have?
Answer:
Sue has 8 marbles
Molly has 8 marbles
Step-by-step explanation:
m = number of marbles Molly has
s = number of marbles that sue has
m+s =32
m = 3s
Substitute the second equation into the first equation
3s+s =32
4s = 32
Divide by 4
4s/4 =32/4
s = 8
Sue has 8 marbles
m = 32 = 3*8 = 24
Molly has 8 marbles