Given:
The product [tex](2x + 3)(x + k)[/tex] is [tex]2x^2+13x+15[/tex].
To find:
The value of k.
Solution:
According to the question,
[tex](2x + 3)(x + k)=2x^2+13x+15[/tex]
Using distributive property, we get
[tex]2x^2+2xk+3x+3k=2x^2+13x+15[/tex]
[tex]2x^2+(2k+3)x+3k=2x^2+13x+15[/tex]
On comparing both sides, we get
[tex]3k=15\text{ and }2k+3=13[/tex]
[tex]k=\dfrac{15}{3}\text{ and }2k=13-3[/tex]
[tex]k=5\text{ and }2k=10[/tex]
[tex]k=5\text{ and }k=5[/tex]
Both value of k are same, i.e., 5.
Therefore, the value of k is 5.
When you want to make a whole number a fraction, what number do you put as the denominator?
In a survey of 2,800 people who owned a certain type of car, 840 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
30% of people surveyed were satisfied with the car.
Step-by-step explanation:
We are given:
Total participants in survey= 2800
People satisfied with car = 840
We need to find percent of the people surveyed were satisfied with the car.
The formula used is: [tex]\frac{People \ satisfied \ with \ car}{Total \ participants \ in \ survey} \times 100[/tex]
[tex]=\frac{840}{2800}\times 100\\=30\%[/tex]
So, 30% of people surveyed were satisfied with the car.
Tell whether the ratios form a proportion.
3/4, 24/18
yes or no?
(also i give out branist or whatever lol)
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.
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:
https://brainly.com/question/26209051
#SPJ2
The first new path will increase access to the fountain. it will be perpendicular to the existing path and pass through F(4,14). Write an equation that represents this new path l. Enter the correct answer in the box. Substitute numerical values into the expression for all known variables.
Answer:
y=1/4x+13
Step-by-step explanation:
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
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 = -125x-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]}
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..
What is the best estimate of the perimeter of the figure below if each square has a side length of 1 foot?
On a coordinate plane, a figure is 30 units around.
26 feet
28 feet
30 feet
39 feet
Answer:
A
Step-by-step explanation:
perimeter- 26
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.
Kayleigh has 3 1/2 gallons of water. She wants to fill up 1/3 cups. How many cups can she fill and how much is left over?
Answer:
10.5
Step-by-step explanation:
. 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
What is the multiplicative inverse of 1/2?
2
-1/2
-2
Answer:
-2/1
Step-by-step explanation:
Answer:
The multiplicative inverse is 2
Step-by-step explanation:
In mathematics, we call the number 1 the multiplicative identity because if we multiple any number by 1, we get that same number as our answer. A multiplicative inverse of a number, x, is a number y, such that if we multiply x times y, then we get the multiplicative identity. That is, x × y = 1.
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.
2. Suppose there are 50 cats in a neighborhood. The ratio of cats to dogs is 2/1 . many dogs are in the neighborhood? (4 points)
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
Write a diameter of 7.024 x 10-5 centimeter in standard notation.
Answer:
[tex]0.00007024[/tex] cm
Step-by-step explanation:
Standard notation just mean to expand the number.
Because the exponent is -5, move the decimal 5 places to the left.
[tex]7.024*10^{-5}[/tex]
[tex]0.00007024[/tex]
Hope this helped!
Unit 3 Homework 6 Geometry
I need help for 21 &22
Answer:
22
Step-by-step explanation:
222÷11 =22
22 ÷111 =000⁰00
−
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
what is p^m ÷ by p^n equal to?
Answer:
hbbbbb
Step-by-step explanation:cvv cv
What is the correct answer for all of them?
Answer:
i wish i could tell ya bud but i cant see the image
Step-by-step explanation:
its blocked off for me
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
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
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.
need answer, please help!!
Can someone please help I'm stupid
1.25x - 6.50 > 60
Answer:
x>53.2
Step-by-step explanation:
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.