By the remainder theorem, the remainder upon dividing a polynomial p(x) by x - c is equal to p(c).
Here, p(x) = x² + 5x + k and c = 8, which gives
p (8) = 8² + 5•8 + k
93 = 64 + 40 + k
k = -11
y = x + 1
y=-x + 5
is there an ordered pair that is a Solution to both of these linear equation?
Explain your thinking
[tex]y=x+1[/tex]
[tex]y=-x+5[/tex]
[tex]x+1=-x+5[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
[tex]y=x+1[/tex]
[tex]y=2+1=3[/tex]
The ordered pair is [tex](2,3)[/tex].
Hope this helps.
A triangle with the side lengths of 8, 15, 17.5 form a right triangle:
A. True
B. False
C. Sometimes
D. None of the above
I would appreciate the help.
It's true, just draw the sides and you'll see there's no other angle you could get.
A pound of ground beef costs $5. At this rate, what is the cost of 3/4 pounds?
Answer:
The answer would be $3.75
This can be easy if you take $5 and multiply it by 3/4 and you will get that answer!
I hope this helps :)
Step-by-step explanation:
Plz mark B R A I N L I E S T
charlie reads 1 3/7 pages every minute 2/3 charlie reads at a constant rate
How many pages does he read per minute?
Answer:
5 pages\
Step-by-step explanation:
Answer: He reads 2 1/7 pages per minute.
Step-by-step explanation:
If you divide 1 3/7 by 2/3, you’ll get your answer.
need answer, please help!!
Alan compared the slope of the function y=3x+2 to the slope of the linear function that fits the values in this table. Which choice is true about the slopes of the two functions?
OPTIONS:
*The slope of the graph of the table is 1 more than the slope of the graph of the equation.
*The slope of the graph of the table is 2 more than the slope of the graph of the equation.
*The slope of the graph of the equation is 2 more than the slope of the graph of the table.
*The slope of the graph of the equation is 1 more than the slope of the graph of the table.
Answer:
The slope of the graph of the equation is 1 more than the slope of the graph of the table.
Step-by-step explanation:
The slope in the equation of the function, y = 3x + 2, is identified as 3.
We know this because, the equation for the function was given in the slope-intercept form, y = mx + b, where m represents the slope.
Therefore, the slope of the function is 3.
The slope of the function represented by the table of values can be calculated using any two given pairs on the table.
Using (1, 6) and (3, 10):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_2} = \frac{10 - 6}{3 - 1} = \frac{4}{2} = 2 [/tex]
Slope of the function represented by the table of values is 2.
Therefore, comparing the slope of both functions, we can conclude that:
✅"The slope of the graph of the equation is 1 more than the slope of the graph of the table."
what is p^m ÷ by p^n equal to?
Answer:
hbbbbb
Step-by-step explanation:cvv cv
Landon bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x?
Step-by-step explanation:
The constant of proportionality is the ratio of the cost to the number of pounds of walnuts. In other words, it is the price of one pound of walnuts.
$10.92 / 4 lb = $2.73 / lb
The constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x is $2.73 lb
What is constant of proportionality?Firstly, there is proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
The constant of proportionality can be calculated as the ratio of the cost to the number of pounds of walnuts.
x = number of walnuts
y = cost of walnutsin dollars
In other words, it is the price of one pound of walnuts now we have;
Constant of proportionality =$10.92 / 4 lb = $2.73 / lb
Learn more about directly inversely proportional relationship variable here:
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1. Which expression has a value of 30 when x = -1 and y = 3? A. (x - 3^2) · y - 6 B. (x - 3^2) · (y - 6) C. x - 3^2 · (y - 6) D. x - 3^2 · y - 6
Answer:
B. (x - 3²)(y-6)
Step-by-step explanation:
Find the expression with a value of 30;
when x = -1 and y = 3:
A. (x - 3²).y-6
(-1 - 9).3-6 = -10 x 3 -6 = -30 - 6 = -36
B. (x - 3²)(y-6)
( -1 -3²)(3 - 6) = (-1 -9)(-3) = 30
C. x - 3² . (y-6) = -1 - 9.(3-6)
= -1-9.-3
= -1 - 9 x -3
= -1 + 27
= 26
D. x - 3².y-6 = -1 - 9. 3 - 6
= -1 - 27 - 6
= -34
please show your working out for (x+2)(x+4)=
Answer:
.
Step-by-step explanation:
(x+2)(x+4)
=x(x+4)+2(x+4)
=x²+4x+2x+8
=x²+6x+8
17) Solve. 4 -2x = 10 A) -7 B) -3 0 D) 3
-3
Step-by-step explanation:
4 - 2x = 10
-4 -4
-2x = 6
÷ -2 ÷ -2
x = -3
Which two points are on the graph of W(d) = 5d – 30?
Choose exactly 2 awnsers that are correct
0, 30
0, -30
-6, 0
6, 0
Im pretty sure its
(6, 0)
(0, –30)
I could be wrong though..
The sum of 5% of a number and nine is 16
Answer:
This can be written algebraically as 5% ⋅ x + 9 = 16. If you want to solve for x, you’ll get x=140
Step-by-Step Explanation:
The attached picture is how to solve for x step-by-step.
Hope this helps and answers your question! :)
. Mr. Sanders sells boats and works on commission only, with no base salary. He earned
$4,500 on the sale of a $27,000 boat.
This commission income for a sale is based on a constant rate of change for his pay at
the company.
If the relationship between his sales in dollars and his commission in dollars is
graphed, it would form a straight line. What would be the slope of this line?
Answer:
slope =
; Mr. Sanders earns $1 commission for each $6 dollars in sales
Step-by-step explanation:
no steps needed
Justin uses į of a gallon of paint to cover of his bedroom wall.
How much paint is needed to cover the entire wall?
it depends what is the size of the wall and how much can be covered with 1 gallon .
If an airplane travels at an average speed of 510 mph, how far does the airplane move in 50 minutes?
Answer:
425 miles
Step-by-step explanation:
Divide 510 by 60 to get miles per minute and then multiply by 50 to get miles in 50 minutes
The airplane move 425 miles in 50 minutes.
what is Speed- Distance Formula?Speed = Distance/TimDistance = Speed X Time, and Time = Distance / SpeedGiven:
Speed= 510 mph
Time= 50 min = 50/60 hour.
So, speed= Distance / Time
510 = Distance / (5/6)
510 x 5/6 = Distance
Distance = 425 miles
Hence, the Airplane travel 425 miles.
Learn more about speed distance formula here:
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Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4,8). Select all that apply.
Answer:
A, 6 and B, 4
Determine the type of triangle that is drawn below. PLZZ ASAP
Answer:
saclene obtuse
Step-by-step explanation:
sides all different and one angles is obtuse
solve for x -5(-x+1)-3x-1=-12
Answer:
x = -2
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define equation
x - 5(-x + 1) - 3x - 1 = -12
Step 2: Solve for x
Distribute -5: x + 5x - 5 - 3x - 1 = -12Combine like terms: 3x - 6 = -12Add 6 to both sides: 3x = -6Divide 3 on both sides: x = -2Step 3: Check
Plug in x to verify it's a solution.
Substitute: -2 - 5(-(-2) + 1) - 3(-2) - 1 = -12Multiply: -2 - 5(2 + 1) + 6 - 1 = -12Add: -2 - 5(3) + 6 - 1 = -12Multiply: -2 - 15 + 6 - 1 = -12Subtract: -17 + 6 - 1 = -12Add: -11 - 1 = -12Subtract: -12 = -12Tell whether the ratios form a proportion.
3/4, 24/18
yes or no?
(also i give out branist or whatever lol)
Can someone please help I'm stupid
1.25x - 6.50 > 60
Answer:
x>53.2
Step-by-step explanation:
Determine triangle type
Answer:
isosceles acute
Step-by-step explanation:
two same sides so it is isosceles and all angles under 90 so acute
Answer:
isosceles acute
Ericka decided to compare her observation to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she used 6.2 years as her time period
Explain how she would calculate the difference between how much water levels rose on average and how much the water level fell in the part of the river she observed.
Answer:
Sample response:
Step-by-step explanation:
She would multiply the rate by the years to find the average rise in water levels, or 1.8 times 6.2 = 11.16. To find the difference between the water levels, she would subtract -13.64 from 11.16.
Answer:
Step-by-step explanation:
She would multiply the rate by the years to find the average rise in water levels, or 1.8 times 6.2 = 11.16. To find the difference between the water levels, she would subtract -13.64 from 11.16.
5x-y=1/4 yea i need help lol
Answer:
x = (y+1/4)/5
Step-by-step explanation:
graph{y=5x-1/4 [-10, 10, -5, 5]}
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
16=x
Step-by-step explanation:
the two sides are equal, soo i set them equal to each other and add 18 to 16 then divide each side by two and get 16 = x
When you want to make a whole number a fraction, what number do you put as the denominator?
simplify the like terms 2x-5x
Answer:
-3x
General Formulas and Concepts:
Combining like termsStep-by-step explanation:
Step 1: Write expression
2x - 5x
Step 2: Combine like terms (x)
-3x
Dai is comparing how many trading cards he has with his friend Maura. Initially, they find that Dai has four more cards than twice the number that Maura has. Part B) If Dai must give Maura 8 cards so that they have the same amount, set up and solve an equation to determine the number of cards Maura initially had.
Answer:
Maura had 12 cards initially
Step-by-step explanation:
Represent Dai's card with D and Maura's card with M.
From the first statement, we understand that:
D = 4 more that twice of M
This is represented as:
D = 4 + 2M
From the second statement, we understand that.
When 8 is subtracted from D, M is increased by 8 and both are equal.
This is represented as:
D - 8 = M + 8
Hence, the equations of the system is:
D = 4 + 2M
D - 8 = M + 8
Substitute 4 + 2M for D in the second equation
4 + 2M - 8 = M + 8
Collect like terms
2M - M = 8 - 4 + 8
M = 12
To solve for D, we simply substitute 12 for M in D = 4 + 2M
D = 4 + 2 * 12
D = 4 + 24
D = 28
Hence, Maura had 12 cards initially
−
2
x
4
+
20
x
3
+
48
x
2
−2x
4
+20x
3
+48x
2
Answer: =296
Step-by-step explanation: −2*4=-8+20=28*3=84+48=132*2=164−2=162*4+20*3+48*2= 296
I will give brainliest
Answer:
36
Step-by-step explanation:
16*(9/4)
B is smaller than A in a ratio of 4/9, means that A is larger than B in ratio of 1/(4/9) = 9/4.