Answer:
x=-113
Step-by-step explanation:
2(3x+4)−3(x−1)=x−1x
Step 1: Simplify both sides of the equation.
2(3x+4)−3(x−1)=x−1x
(2)(3x)+(2)(4)+(−3)(x)+(−3)(−1)=x+−1x(Distribute)
6x+8+−3x+3=x+−x
(6x+−3x)+(8+3)=(x+−x)(Combine Like Terms)
3x+11=0
3x+11=0
Step 2: Subtract 11 from both sides.
3x+11−11=0−11
3x=−11
Step 3: Divide both sides by 3.
3x3=−113
x=−113
Answer:
x=−113
The population of valleytown is also 5,000 with an annual increase of 1,000. Can the expected population for Valleytown be modeled with an exponential growth fu nction ? Explan
Answer:
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
Step-by-step explanation:
Linear growth:
The number by which it increases is constant.
Exponential growth:
The rate which it increases is constant, that is, a proportion of population.
Annual increase of 1,000.
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
The speed of a car as a function of time is shown in the figure(attached up) . Find the distance travelled by the car in 8 seconds and its acceleration .
______________________________
[tex]\sf\bold{The\:above\:graph\:says:}[/tex]
$\sf\bold\red{a=slope\:of\:v-t\:graph}$$\space$
$\sf\bold{here:}$
$\sf\bold\red{a=acceleration}$$\space$
$\sf\bold{Find\:acceleration\:by\:v-t\:graph:}$
$\mapsto$ $\sf\small{TanØ =}$ $\sf\dfrac{slope\:of\:y}{slope\:of\:x}$= $\sf\dfrac{20}{8}$ $\sf{m/s^2}$
$\space$
$\mapsto$ [tex]\sf\underline\bold\purple{a=2.5m/s^2}[/tex]$\space$
$\sf\bold{Now,calculate\:the\:distance:}$
$\sf\bold{By\:equation\:of\:motion.}$$\sf{s=}$ $\sf{ut+}$ $\sf\dfrac{1}{2}$ $\sf{at^2}$$\space$
$\sf\bold{Given\:parameters:}$
$\sf\bold{u=0}$$\sf\bold{a=5/8}$$\sf\bold{t=8}$$\space$
$\sf\bold{Substituting \: the\:values:}$
$\mapsto$ $\sf\small{s=0+}$ $\sf\dfrac{1}{2}$ $\times$ $\sf\dfrac{5}{8}$ $\sf\small{8^2}$
$\space$
$\longmapsto$ $\sf\underline\bold\purple{S=80m}$
$\space$
❍Therefore , the acceleration is $\sf\bold{2.5m/s^2}$ and the distance traveled by car is $\sf\bold{80m.}$
_______________________________
80 m is distance ! Please mark as brainliest
Which pair of polygons is congruent?
Answer:
C
Step-by-step explanation:
Polygon 3 and 5 are congruent cause they have the same length of side
Is the equation below written in standard form? If not, select which explanation best applies to why the equation
is not written in standard form.
12 = 2x + 4y
A. the requirement that A 20 is not satisfied
B. the requirement that A and B are not both zero is not satisfied
C. A, B, and C do not have a greatest common factor of 1
D. the equation is written in standard form
Answer:
D
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers
12 = 2x + 4y , that is
2x + 4y = 12 ← is in standard form
here is another question i need help
true or false. can someone help me w this??
Answer:
false
Step-by-step explanation:
it would be in the first quadrant
Answer:
False
Step-by-step explanation:
The real part is positive and the imaginary part is positive which put is in the first quadrant
a. IfA= {a, b} and B = {p, q, r}, find A x B and B x A using tree diagram.
Answer:
Step-by-step explanation:
Last year, Mary opened an investment account with $5400. At the end of the year, the amount in the account
had decreased by 6%.
Ive never really understood 8th-9th grade volume, could use some help
The answer is B
Eplanation:
V = pi * r² * (h/3)
Then from here you just make h the subject of the formula:
h = (V * 3)/(pi * r²)
h = (393*3)/[3.14* (10/2)²]
h = 15.01910828 ft
which is rounded to 15 ft...B
:)
Can you help please answer will give Max points
Answer:
28 4/9
Step-by-step explanation:
5 1/3 times 5 1/3
I have done it more than 10 times i still cant find the answer
Question:
Answer:
there may be mistake in the question
If A = {2,4,6,8,}, write the set A by description method
Step-by-step explanation:
Set-builder notation is a notation for describing a set by indicating the properties that its members must satisfy.
C={2,4,6,8}
C={2×1,2×2,2×3,2×4}
thus set builder form is:
{x:x=2n,n∈N} and this set is also call even number set in description mathod
If a translation of (x,y) (x+6,y-10) is applied to figure ABCD, what are the coordinates of D?
Image of figure ABCD is missing and so i have attached it.
Answer:
D_new = (-1, - 12)
Step-by-step explanation:
From the figure attached, the current coordinates of D are; (-5, -2)
Now, we are told the figure undergoes a translation of (x,y) (x+6,y-10)
Thus, this means we add 6 to the x value and subtract 10 from the y-value.
Thus, new coordinate of D is;
> (-5 + 6, -2 - 10)
> (-1, - 12)
Answer:
1, -12
Step-by-step explanation:
D = -5, -2
|
-5 + 6 = 1
|
-10 and -2 is -12
1, -12
did it on edge, got it right.
The value of G for a one-piece 30° x 60° angle iron bracket is 1'/4 inches, and the width of the angle iron is 2 inches. What is the thickness of the metal, in inches? A. 31/4 inches B. 3/4 inch C. 21/2 inches D. 1/4 inch
Answerb
Step-by-step explanation:
yeal
The price of a laptop is fixed 20% above it's cost price and sold it at 13%discount to gain rs 1980 . How much should a customer pay for it
Answer:
Rs 46980Step-by-step explanation:
Let the cost is x, we have then:
1.2x*(0.87) = x + 1980(1.2*0.87 - 1)x = 19800.044x = 1980x = 1980/0.044x = 45000Cost is 45000, then SP is:
SP = 45000 + 1980 = 46980The question is "find the lowest common multiple of 4 and 6"
with step by step explaination
Answer:
12
Step-by-step explanation:
4s multiples:
4,8,12,16,20,24
6s multiples:
6,12,18,24,30,36
lowest number that is a common multiple between both 4 and 6:
12
Answer: 2
Step-by-step explanation:
In parallelogram ABCD, m∠B = 105°.
What is the value of x. (Round your answer to the nearest tenth, if necessary.)
Answer:
x=52.5
Step-by-step explanation:
Since ABCD is a parallelogram, B= ADC. So angle ADC is 105. Next since ED=AD, angle EAD=angle AED=x and ADE=75. So 2x+75=180, 2x=105, x=105/2
In parallelogram ABCD, m∠B = 105° then the value of x = 52.5
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Since ED ≈ AD,
∆AED is an isosceles triangle where ∠EAD and ∠AED has the same angle measurement
Now, ∠B = 105°, since ABCD is a parallelogram,
∠B = ∠D
∠ADC = 105°
∠ADE = 180°-105° = 75°
Now, ∠EAD + ∠AED+ ∠ADE = 180°
∠AED+∠AED+∠ADE = 180°
x+x+75°=180°
2x=180+75°
2x = 105°
x = 52.5°
Learn more about parallelogram;
https://brainly.com/question/1563728
#SPJ2
Madison is thinking of a number. Sixty, decreased by four times the number, is the same as eight
times the number, increased by seventy-two. What is Madison's number?
Answer:
x = -1
Step-by-step explanation:
Let the mystery number be x
Equation:
60 - 4x = 8x + 72
Subtract 60 from both sides
-4x = 8x + 12
Subtract 8x from both sides
-12x = 12
x = -1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
"The sum of two numbers is 17" <- that's our first equation. Sum means we're going to add. "two numbers" - well, we don't know what they are, so we can use x and y. (Note: x and y are just placeholders. You can use ANY placeholder as long as you keep it consistent with the second equations. x and y just mean "some number". We're going to work to find those numbers)
So for our first equation, we have two numbers being added together. So we can just write that as:
x+ y = 17
For the second equation:
"Three times one number increased by 5 is the same as twice the other number decreased by 4"
We have to work to process what is being asked. “Three times one number increased by 5”. So we know we are multiplying 3 to one of our numbers and increasing it (adding it) by 5.
So this part can be written as 3x+5
“Is the same as” just means “equal to”
“Twice the other number decreased by 4”. So twice, means two times and “decreased by four” just tells us to subtract four. So this part can be written as:
2y-4
Now we need to put this second equation together.
3x+5=2y-4.
So now we have our two equations:
x+y = 17
3x+5 = 2y-4
We have a few ways of solving this. We can use substitution, elimination, or graphing. I’m going to use substitution for this one.
So for substitution, we need to take one of two equations and solve for a single variable. So I’m going to take our first equation and solve for y.
x+y=17
-x. -x
y= -x+17
Now I’m going to put “-x+17” in for the “y” in the second equations.
3x+5=2y-4
3x+5 = 2 (-x+17) - 4. (Now distribute)
3x+5 = -2x + 34 - 4. (Now simplify)
3x+5 = - 2x + 30. (Now we need to get the x to one side)
+2x +2x
5x+5=30
-5. -5
5x = 25
X = 5
Now we can take the first equation and put 5 in for x to solve for y
x+y = 17
5 + y = 17
-5 -5
y= -12
So our x is 5 and our y is 12.
[tex]\frac{1}{3} d +4=28[/tex]
Answer:
d = 72
Step-by-step explanation:
1/3 d + 4 = 28
Subtract 4 from each side
1/3d +4-4 = 28-4
1/3d = 24
Multiply each side by 3
3 * 1/3d = 3 * 24
d = 72
Writing equations in standard form:
(1,-6) and (-7,2)
How would I write this in standard form? I already tried but I keep getting x+y=7 and it says it’s wrong so could someone help?
Answer:
[tex]x + y = - 5[/tex]
Step-by-step explanation:
hopefully it is clear and makes sense
:)
If someone could help that would really be great. Thank you.!
Solve the following, where 0° < θ < 360°.
If cos θ=2/3 and tan θ<0
Find θ.
Answer:
The angle θ = 312°.
Step-by-step explanation:
0° < θ < 360°
If cos θ = 2/3 and tan θ < 0
As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.
cos θ = 2/3
θ = 312°
A basketball team won 8 games and lost 7 games. Based on these results what is the probability of winning a game
the probability is made of the desired outcome divided by the total outcome.
desired = wins = 8
total = wins and losses = 15
8/15 is the probability (approx. 53%)
hope it helps :)
Emília ganhou 350 reais de sua avó. Com esse dinheiro, ela comprou um sapato, e uma roupa que custou o dobro do preço do sapato. Os 200 reais que sobraram foram depositados por Emília em sua conta poupança.
Qual é a equação eu permite determinar o preço x, em reais, que Emília pagou por esse sapato?
A) x + 2× = 350
B) x + 2× 200 = 350
C) x + (x + 2) + 200 = 350
D) x + ײ + 200 = 350
Câu 2. Cho hình thang cân ABCD (AB // CD, AB CD). Gọi O là giao điểm của AD và BC, E là giao điểm của AC và BD. Chứng minh rằng: | a) Tam giác AOB cân ở O.
b) Các tam giác ABD và BAC bằng nhau. C) EC = ED
d) OE là trung trực của AB và CD.
Answer:
Step-by-step explanation:
State the leading coefficient of -7x+10x^3-9x^5+3x^2+3?
Answer:
-9
Step-by-step explanation:
-7x+10x^3-9x^5+3x^2+3
We need to write the terms from highest power to smallest power
-9x^5+10x^3+3x^2-7x+3
The leading coefficient is the number in front of the highest power
-9
[100 Points]
SHOW YOUR WORK, PLEASE!
Answer:
691 251/256
Step-by-step explanation:
So basically exponents is how much time you time the same number
First on the top is 2 exponent 4. that is 2x2x2x2=16
Second is 3 exponent 3. 3x3x3=27
Third is 9 exponent 7. 9x9x9x9x9x9x9=4782969
Fourth is 4 exponent 6. 4x4x4x4x4x4=4096.
All together is 16/27x4782969/4096=691 251/256
Find the value of x in Circle O.
Answer:
x=8
Step-by-step explanation:
x^2+15^2=17^2, x=sqrt(64)=8
Find the discriminant of the quadratic equation x2 + 10x + 24 = 0 and use it to determine the number and types of solutions. b2 − 4ac
Answer:
Step-by-step explanation:
x² + 10x + 24 = 0
Discriminant = 10² - 4×1×24 = 4
The discriminant is positive, so there are two distinct, real solutions.
Answer:
The answer is C) 4; Two real solutions.
Step-by-step explanation:
x2 + 10x + 24 = 0 in the function
x2 resembles a
10x resembles b
24 resembles c
so, let's convert.
b2-4ac
(10) ^2 - 4(1)(24)
100 - 96
= 4
find x giving your answer to 1 decimal place
Step-by-step explanation:
[tex] \frac{ \sin(81) }{x} = \frac{ \sin(40) }{7} \\ x \times \sin(40) = 7 \times \sin(81) \\ x = \frac{7 \times \sin(81) }{ \sin(40) } = 10.75 = 10.8 \: cm[/tex]
Answer:
x is 10.8 cm
Step-by-step explanation:
from Lami's theorem:
[tex] \frac{7}{ \sin(40 \degree) } = \frac{x}{ \sin(81 \degree) } \\ \\ x = \frac{7 \sin(81 \degree) }{ \sin(40 \degree) } \\ \\ x = 10.8 \: cm[/tex]
