Answer:
-3
Step-by-step explanation:
Coefficients are numbers before variablesIf the product (2x + 3)(x + k) is 2x2 + 13x + 15, what is the value of k?
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.
Write an equation to represent the situation. What do the variables represent?
Answer:
2+5 = 7 is the related addition sentence that shows the commutative property of addition because it has fsdagsfdfgsfsdgfadbadfgathe same result of addition as 5+2=7.
Commutative property of addition says that if we have two numbers we have interchange them and this doesnot affect the result....
Step-by-step explanation:
25x2 - 64 = 0
I need help solving this using quadratic function.
Answer:
Step-by-step explanation:
25x^2-64=0
x=8/5, -8/5
Answer: x = 8/5, -8/5
Step-by-step explanation:
25x^2 -64 = 0
(5x+8)(5x-8) = 0
x = 8/5, -8/5
he linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic book when Lucy bought it? A graph titled Value of Lucy' s Comic Book has Years since Lucy bought comic book on the x-axis, and value (dollars) on the y-axis. Points are at (1, 40), (2, 55), (3, 70), (4, 85). $10 $15 $25 $40
Answer:
C. $25
Step-by-step explanation:
#dg#nutiy
Answer:
The answer is 25.
Step-by-step explanation:
I did it on Edge.. and got it right
14x6 / 14*6 whatever I hate math but I am good but I am tired so answer my question.
Answer:
x
Step-by-step explanation:
14*6=84
84x/84=x
-1/2(2n + 4) + 6 = –9 + 4(2n + 1)
Answer: 1/3=n
Step-by-step explanation:
-1/2(2n + 4) + 6 = –9 + 4(2n + 1)
Distribute:
-1n-2+6=-9+8n+4
Combine like terms:
-1n-2+6=-9+8n+4
-1n+4=-5+8n
Add 1n on both sides:
-1n+4=-5+8n
-1n+1n+4=-5+8n+1n
4=-5+9n
Add 5 on both sides:
4+5=-5+5+9n
9=9n
Divide 9 on both sides:
9/9=9n/9
1=n
please help me with the answer
75% as a fraction in simplest form.
Answer:
3/4
Step-by-step explanation:
A percent is always out of a 100
So, 75/100
The highest common factor between 75 and 100 is 25
Divide both sides both 25
3/4
the answer is 3/4 I believe
I hoped this helps :)
What is the Awnser to this?
Answer: 1
Step-by-step explanation:
Sorrel has 54 beads, and 16 of them are red. Of the remaining beads, half are yellow and half are green. How many yellow beads does she have?
Answer:
Step-by-step explanation:
54-16=38
38 divided by 1/2 is 19
so your answer is 19
hope that helps
Tyler bought 3 calculators and 7 pens for $67.80. Barbra bought 6 calculators and 2 pens for $92.40. How much does each pen cost?
Answer:
Each pen costs $3.60 (Each calculator costs $14.20).
Step-by-step explanation:
Let c represent calculator
Let p represent pen
3c + 7p = 67.8
6c + 2p = 92.4
Step 1: Solve 3c + 7p = 67.8 for c:
3c + 7p = 67.8
3c + 7p + −7p = 67.8 + −7p (Add -7p to both sides)
3c = −7p + 67.8
3c/3 = −7p + 67.8/3 (Divide both sides by 3)
c = −7/3p + 22.6
Step 2: Substitute −7/3p + 22.6 for c in 6c + 2p = 92.4:
6c+2p=92.4
6(−7/3p + 22.6) + 2p = 92.4
−12p + 135.6 = 92.4 (Simplify both sides of the equation)
−12p + 135.6 + −135.6 = 92.4 + −135.6 (Add -135.6 to both sides)
−12p = −43.2
−12p/−12 = −43.2/−12 (Divide both sides by -12)
p = 3.6
Step 3: Substitute 3.6 for p in c = −7/3p + 22.6:
c = −7/3p + 22.6
c= −7/3(3.6) + 22.6
c = 14.2 (Simplify both sides of the equation)
Answer:
c = 14.2 and p = 3.6
Hope this helps and have a great day :)
And please mark me brainliest if you can :)
What does spontaneous mean????????????
Answer:
performed or occurring as a result of a sudden inner impulse or inclination and without premeditation or external stimulus.
Basically, you do things spur of the moment.
Step-by-step explanation:
Answer: The definition of spontaneous is unplanned or done on impulse. An example of spontaneous is waking up and deciding to take a trip across the country that day. adjective.
Hope this helps... stay safe and have a great day!!! :D
The dimensions of rectangular box are 4.4 inches, 5.6 inches, and 8 2 inches what is the surface area
Answer:
213.28 in^2
Step-by-step explanation:
surface area = 2(LW + LH + WH)
surface area = 2[(4.4 in)(5.6 in) + (4.4 in)(8.2 in) + (5.6 in)(8.2 in)]
surface area = 213.28 in^2
Solve the equation.
-8(x+1) + 2x = -32
X= 4
Step-by-step explanation:
:)
find the slope of the line segment that contains the two points. (15, 16) and (-19, -6)
A. 11/17
B. -2/5
C. None of the answers are correct
D. 7/15
E. -1/3
Answer:
the answer is letter A.
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-6)-16/(-19)-15
m=-22/-34
m=11/17
Alex tried to solve the equation 14x+12=2. What was his mistake?
:(( hellppp
what is 175% of 10 and how to write the work
Answer:
17.5
Step-by-step explanation:
175% is written as 175/100. If you move the decimal at the end over twice you get 1.75/1 which is just 1.75. You then multiple 10 by 1.75 and you get 17.5
175% of 10 is
[tex]➞\large \: \frac{175}{100} \times 10[/tex]
[tex]➞\large \: \frac{175}{10} [/tex]
[tex]➞\: 17.5[/tex]
mrk brainleist ☺️
NEED HELP ASAP
Let u = ⟨9, –2⟩, v = ⟨–4, 3⟩, and w = ⟨5, 1⟩. Kelcy incorrectly determined 3u – 5(v + w) to be ⟨32, –26⟩. Review her steps as shown.
3u – 5(v + w)
3⟨9, –2⟩ – 5[⟨–4, 3⟩ + ⟨5, 1⟩]
⟨27, –6⟩ – 5[⟨–1, 4⟩]
⟨27, –6⟩ + ⟨5, –20⟩
⟨32, –26⟩
What mistake did Kelcy make?
She added ⟨–4, 3⟩ and ⟨5, 1⟩ incorrectly.
She did not correctly distribute 3 to both components of u.
She should have distributed –5 to both v and w before adding.
She should have subtracted ⟨27, –6⟩ and ⟨5, –20⟩, rather than adding.
Answer:
A
Step-by-step explanation:
-4 +5 is 1 not -1 lol
The incorrect step where Kelcy did mistake is given by: Option A: She added ⟨–4, 3⟩ and ⟨5, 1⟩ incorrectly.
How to add two vectors?Suppose that two vectors are given as:
[tex]x = \: < a,b > \\y= \: < c,d >[/tex]
Then, their addition is given as:
[tex]x + y = \: < a +c , b + d >[/tex]
For this case, we can see that when Kelcy added <-4,3 > and <5,1>, she didn't add -4 and 5 correctly, as it results in +1, and not -1,
Thus, <-4,3> + <5,1> = <1,4>
Thus, wrong addition caused error in the solution.
Thus, the incorrect step where Kelcy did mistake is given by: Option A: She added ⟨–4, 3⟩ and ⟨5, 1⟩ incorrectly.
Learn more about addition of vectors here:
https://brainly.com/question/4553385
I’m not sure how to do this please help
Answer:
B :step 2 she didnt collect all the like terms and calculate
Step-by-step explanation:
first rewrite remove all ( )Parentheses
2nd collect all like terms and calculate
a^4 + 7a -16 -12^a^3 + 5a -3
a^4 + 12a - 19 - 12a^3 ( Like terms are 7a +5a and -16 +-3)
so she skipped the second step
if you have 8 apples and then your mom gives you 50 apples. Then you go to the store to get 1890 apples. How many apples do you have?
Also if you get banned, can you make another account or nah?
Answer:
1948 apples
Step-by-step explanation:
add.
1948 Hope it helped. And yea you can make a new account though you have to use a different email, Cuz I got banned once and this is my second account
Have a good day! <3
y = 0.4x^2 + 2x + 2.5
please help!!
Answer:
x=
2
5
=2.500
Step-by-step explanation:
Mr.Johnson sells erasers for 3 dollors each he sold 96 erasers last week and he sold 204 erasers this week how much money did he make this week chose the best estimate
Answer: He made $612 for sold 204 erasers this week.
Step-by-step explanation:
Answer:
$600
Step-by-step explanation:
The ratio of ages of father and son is 9:2. If the father is 45 years old, find the son
Answer:
x = 10
Step-by-step explanation:
9 is to 45 as 2 is to x
9 ---- 45
2 ---- x
x = 2 . 45 / 9
x = 10
Answer:
The age of his son is 10 years
Step-by-step explanation:
Think x is the age of his son
The age of his son is
=>45/x=9/2
=>9x=90
=>x=90/9
therefore
x=10
The his of son is 10 years
Madeline has a mask collection of 260 masks. She keeps 117 of the masks on her wall. What percentage of Madeline's mask collection does she keep on her wall?
Answer:
55%
Step-by-step explanation:
Solve the inequality 3(4-6)+2≥2(-t+3)+4. Then graph the solution
Answer:
It will be t>=7
Step-by-step explanation:
HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
6.75
Step-by-step explanation:
A of rectangle = 2*1.5=3
A or triangle= (7-2)*1.5/2 = 5*1.5/2 =3.75
Area trapezoid =A rectangle +Atriangle = 3+3.75=6.75
Answer:
C : 6.75 yd.
Step-by-step explanation:
first, you divide the trapezoid into two shapes, a square, and a triangle. For the square's area, you multiply 2yd and 1,5 yd to get 3 yd. Then for the triangle's area, since the bottom side of the trapezoid is a side for both the triangle and the square, the square already took 2yd if that makes sense. You multiply 5yd and 1.5 yd to get 7.5 yd. Since its a triangle, you divide the area of the triangle by 2, which is 3.75 yd. To get the total area of the trapezoid, you then add 3yd plus 3.75 yd to get 6.75 yd. ²
hope this helps
A baseball player made six hits in nine innings. What is the ratio of hits to innings? a. 2:3 c. 2:5 b. 3:2 d. 5:2
Answer:
The Answer is 2:3 because you break 6 and 9 in half.
Step-by-step explanation
It is 6 hits and 9 innings. Well 6:9. Is that one of your answers. No so you have to simplify it.
if you know this please help
Answer:
its c hope this helps:)
Step-by-step explanation:
I need help please guys
Answer:
Angle T = Angle Q
Step-by-step explanation:
Logical
En una clase, 1/3 de los estudiantes eligieron estudiar español como segundo lenguaje vivo. 1/9 eligió italiano, el resto eligió alemán. Qué fracción de los estudiantes de la clase eligieron estudiar alemán? Si hay 15 estudiantes estudiar alemán, ¿cuántos estudiantes no estudian alemán?
Answer:
5/9
12
Step-by-step explanation:
La clase entera es 1.
1/3 estudian español.
1/9 estudian italiano.
1 - 1/3 - 1/9 estudian alemán.
1 - 1/3 - 1/9 = 9/9 - 3/9 - 1/9 = 5/9
5/9 de los estudiantes estudian alemán.
n = numero total de estudiantes en la clase.
5/9 n = 15
9/5 * 5/9 * n = 15 * 9/5
n = 27
Hay 27 estudiantes en la clase.
27 - 15 = 12
12 estudiantes no estudian alemán.