Answers
Answer:
Option A
Step-by-step explanation:
Given expression:
3x² - 10x - 8Option A
⇒ (x - 4)(3x + 2)
⇒ (x × 3x) + (2 × x) + (-4 × 3x) + (-4 × 2)
⇒ (3x²) + (2x) + (-12x) + (-8)
⇒ 3x² + 2x - 12x - 8
⇒ 3x² - 10x - 8
3x² - 10x - 8 = 3x² - 10x - 8 (Yes!)
Option B
⇒ (3x - 4)(x - 2)
⇒ (3x × x) + (3x × -2) + (-4 × x) + (-4 × -2)
⇒ (3x²) + (-6x) + (-4x) + (8)
⇒ 3x² - 6x - 4x + (8)
⇒ 3x² - 10x + 8
3x² - 10x - 8 = 3x² - 10x + 8 (No!)
Option C
⇒ (3x - 4)(x + 2)
⇒ (3x × x) + (3x × 2) + (-4 × x) + (-4 × 2)
⇒ (3x²) + (6x) + (-4x) + (-8)
⇒ 3x² + 6x - 4x - 8
⇒ 3x² + 2x - 8
3x² - 10x - 8 = 3x² + 2x - 8 (No!)
Option D
⇒ (3x - 2)(x - 4)
⇒ (3x × x) + (3x × -4) + (-2 × x) + (-2 × -4)
⇒ (3x²) + (-12x) + (-2x) + (8)
⇒ 3x² - 12x - 2x + 8
⇒ 3x² - 14x + 8
3x² - 10x - 8 = 3x² - 14x + 8 (No!)
Since the expression of option A has the same value as the given expression, option A is correct.
Answer:
Hi! Let's find which expression is equivalent to [tex]3x^{2} - 10x - 8[/tex]. First, remember that expressions are equivalent when they have identical solutions or roots. That means we have to do three things:
- solve [tex]3x^{2} - 10x - 8[/tex]
- review the listed expressions
- determine which solution is equivalent to the solution of [tex]3x^{2} - 10x - 8[/tex]
First, let's solve [tex]3x^{2} - 10x - 8[/tex].
Use the sum-product pattern -
3x^2 - 10x - 8
3x^2 + 2x - 12x - 8
Common factor from the two pairs -
3x^2 + 2x - 12x - 8
x(3x + 2) - 4(3x + 2)
Rewrite in factored form -
x(3x + 2) - 4(3x + 2)
(x - 4)(3x + 2)
Now, let's review the listed expressions. We have:
A. (x - 4)(3x + 2)
B. (3x - 4)(x - 2)
C. (3x - 4)(x + 2)
D. (3x - 2)(x + 4)
We're looking for one of these expressions to be equivalent to the solution of [tex]3x^{2} - 10x - 8[/tex], which we know is (x - 4)(3x + 2). The first choice, A. (x - 4)(3x + 2), would be our answer!
I hope this helps you. Have a wonderful day and let me know if I can help you with anything else! =)
Related Questions
Complete the equation of this circle:
A
1
[ ]=z([_]_^)+z([ ¿ ] − x)
Enter ⚠️NEED HELP ASAP WILL GIVE BRAINLIEST⚠️
Answers
Answer:
(x - 3)^2 + (y - 2)^2 = 4^2
Step-by-step explanation:
Looking at the graph its obviously a circle as it said.
We have to find (h,k) and the radius of that circle.
(h, k) = (3,2)
Origin to the edge of the A.
radius = 4
(x - 3)^2 + (y - 2)^2 = 4^2
For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050
Answers
The year the model would most likely be sufficient to make a prediction of the population is 2005.
What year would be sufficient to make a prediction?
The model of the population is an exponential function. An exponential function usually has the form: [tex]ab^{x}[/tex]. An exponential function is usually most accurate when the time horizon of prediction is the shortest. Based on the options, the shortest time after 2000 is 2005.
Please find attached the complete question. To learn more about exponential functions, please check: https://brainly.com/question/26331578
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I need help this question says solve for x. Round to the nearest tenth, if necessary
Answers
Answer: 49.8
Step-by-step explanation:
Please help me I can’t figure it out
Answers
Answer:
20
Step-by-step explanation:
To evaluate the expression for a= 3, replace (or 'substitute') every 'a' you see with a '3' in the expression.
Given expression: 32 -4a
When a= 3,
32 -4a
= 32 -4(3)
= 32 -12
= 20
Answer:
20 is the value of expression when a is equal to 3 .Step-by-step explanation:
In the question we're given with an expression that is 32 - 4a , value of a is 3 . And we are asked to evaluate the expression for a = 3 .
Solution : -
[tex] \longmapsto \: 32 - 4a[/tex]
Step 1 : Substituting value of a in given expression :
[tex] \longmapsto \:32 - 4(3)[/tex]
Step 2 : Multiplying 4 with 3 :
[tex] \longmapsto \:32 - 12[/tex]
Step 3 : Subtracting 12 from 32 :
[tex] \longmapsto \: \red{\boxed{ \frak{20}}}[/tex]
Therefore , value of expression for 3 is 20 .#Keep Learninga. (-2,4) (-1,1) (-3,-1) (-5,2)
b. (2,4) (1,1) (3,1) (5,2)
c. (4,2) (1,1) (1,3) (2,5)
d. (4,-2) (1,-1) (-1,-3) (2,-5)
Answers
S'(4, -2) and T'(1, -1) and U'(-1, -3) and V'(2, -5)
Step-by-step explanation:[tex]Find\ the\ coordinates\ of\ the\ point\ after\ reflected\ in\ the\ line\ of\ symmetry:\\ \downarrow\\ S'(-4,-2)\ and\ T'(1,-1)\ and\ U'(-1,-3)\ and\ V'(2,-5)[/tex]
I hope this helps you
:)
Frank works at a convenience store. He earns 7.50 per hour when he works during the day. He earns 12.50 per hour when he works at night. He wants to San at least 300 per week. Which graph best represents this situation?
Answers
Answer:
7.50x + 12.50y = 300
Step-by-step explanation:
the number 94 is decreased to 86. what is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answers
Answer:
8.5%
Step-by-step explanation:
8.5% of 94 is 7.99 which is closest we can get round to the nearest tenth of a percent.
WILL GIVE BRAINLIEST:
each graph shows a relation the first and second numbers of each ordered pair in the relation are members of the set of real numbers in each case find the domain and the range of the relation and determine whether the relation is a function
Answers
Answer:
see the explanation
Step-by-step explanation:
the half-circle is a function because there is only one x value for each y value
the full circle is a relation becaue he circle intersects the y-axis at 1 and -1
Answer:
For the second one:
Domain: -2≤x≤2
Range: -2≤y≤2
The relation is not a function
Step-by-step explanation:
Please help me !! Giving brainliest!!
Answers
Answer:
O 4th option : (-4, -2)
Step-by-step explanation:
⇒ 9x - 9y = -18
⇒ -6x + 9y = 6
3x = -12x = -49(-4) - 9y = -18-36 - 9y = -18-9y = 18y = -2⇒ (x , y)
⇒ (-4, -2)
Answer:
(-4, -2)
Step-by-step explanation:
When using the elimination method, we combine the equations to get one. To combine them, we have to find a term with a number that is either positive or negative to the other, example : -6y and 6y, or 4x and -4x. We then take them and combine both equations to get one. Becuase they are the same, they simply cancel each other out.
9x - 9y = -18
-6x + 9y = 6
3x = -12
Divide both sides by 3 to get x alone
x = -4
Now, to find the y value, we can now plug in what we found for x.
9(-4) - 9y = -18
-36 - 9y = -18
Add 36
-9y = 18
Divide by -9
y = -2
Therefore making the solution, (-4, -2)
Write the ratio as a fraction in simple form, with whole number in the numerator and denominator 2. 7 hr to 7. 2 hr
Answers
Answer:
3/8
Step-by-step explanation:
A ratio is expressed in lowest terms by removing common factors from numerator and denominator.
[tex]\dfrac{2.7\text{ hr}}{7.2\text{ hr}}=\dfrac{3\cdot0.9\text{ hr}}{8\cdot0.9\text{ hr}}=\boxed{\dfrac{3}{8}}[/tex]
If TR = 11 ft, find the length of PS. Round to the nearest hundredth.
P
T
R
16°
S
arc PS =
ft
Answers
The length of arc PS from the information given in the task content is; 31.5 ft.
What is the length of the arc PS?It follows from the task content that;
Point T is the center of the circle and line TR is the radius of the circle.Additionally, the angle subtended by arcPS = 180 - m<PS = 180 - 16 = 164⁰. This follows from the fact that line PR is a diameter.On this note, the length of arc PS is;
arc PS = (164/360) × 2 × 3.14 × 11.
arc PS = 31.5ft.
Read more on length of an arc;
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Write an equation of the line with a slope of 0 and y -intercept of 5 .
y =
Answers
Answer:
y = 5
Step-by-step explanation:
y = mx + c
y = 0x + 5
y = 5
This gives a flat line where y is always 5
A parking lot has 208 parking spots divided into equal rows. The total number of rows is
between 10 and 15. How many rows are in the parking lot?
Answers
The legend on a map states that
1 cm is 20 km. If you measure 9
centimeters on the map, how
many kilometers would the actual
distance be?
Actual distance = [ ? ] km
Answers
Answer:
1cm=20km
multiply both sides by 9
you get
9cm=20x9km
9cm=180km
Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.
1, 3, 6, 10, 15, …
My answer below:
3 + 1 = 4
3 - 6 = -3
so, I get neither?
Answers
Sequence: 1, 3, 6, 10, 15, …
If sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]
If sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ * \ third \ term} }}[/tex]
Check for arithmetic:
[tex]\sf \rightarrow 3 = \dfrac{1+6}{2}[/tex]
[tex]\sf \rightarrow 3 =3.5[/tex] Hence, the sequence is not arithmetic
Check for geometric:
[tex]\sf \rightarrow 3 = \sqrt{1*6}[/tex]
[tex]\sf \rightarrow 3 = \sqrt{6}[/tex] Hence, the sequence is not geometric
Solution:
Neither[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]
[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex][tex] \textsf{and} [/tex]
[tex] \textsf{If the ratio of successive terms is } [/tex] [tex] \textsf{equal then, the terms are in GP} [/tex][tex]\textsf{Since neither common difference is same, }[/tex] [tex]\textsf{nor common ratio is same, therefore }[/tex] [tex] \textsf{we can infer that it's neither an Arithmetic progression} [/tex] [tex] \textsf{nor Geometric progression. } [/tex]
Hope it helps ~
What value of n makes the equation 4(0.5n − 3) = n − 0.25(12 − 8n) true?
3
-9
0
-1
Answers
Answer:
n = -9
Step-by-step explanation:
4(0.5n − 3) = n − 0.25(12 − 8n)
2n - 12 = n - 3 + 2n
2n - 12 = 3n - 3
2n - 3n = - 3 +12
-1n = 9
n = -9
somebody pls help me
im not very smart 7u7
Answers
Answer:
[tex]1 \2 (7 + 12)6 \\ 1 \2(19)6 \\ 114 \times 1 \2 = 72[/tex]
so therefore area is 72cm²
This is due tonight please help!
Answers
D. 49/9 . or in simplest form 5 4/9 . or in decimal form 5.4
Figure ABCDE is similar to figure LMNOP.
10 in
M
9 in
L
7. 5 in
B
D
pin
N
12 in
A
8 in
E
What is the value of p in inches?
A. 6 in
B. 10. 6 in
C. 10. 8 in
D. 7. 5 in
Answers
Solve for X.
[tex]\frac{3}{x} =9[/tex]
Answers
Answer:
[tex]x=\frac{1}{3}[/tex]
Step-by-step explanation:
You cross multiply the x under 3 and multiply it by 9;
[tex]3=9x[/tex]
Divide both sides by 9;
[tex]\frac{3}{9} =x[/tex]
3/9 can also be called 1/3;
[tex]x=\frac{1}{3}[/tex]
Hope This Helps! :)
Ramon and Hector ride their bikes at constant rate during race Raven rides 45 miles and 3 hours the distance Y in miles hector rides in x hours is given by the equation y=18x
Answer choices:
Ramon rides his bike 3 miles per hour faster than Hector it rides his bike
Ramon rides his bike 27 miles per hour faster than Hector rides his bike
ramon rides his bike 3 miles per hour slower than Hector rides his bike
Ramon rides his bike 27 miles per hour slower than Hector rides his bike
Answers
The third option is right. Raman rode 3miles/hr slower than Hector
Step-by-step explanation: Distance covered by Raman is 45miles In 3hours., his speed is 15miles/hr
Raman: 45=15×3 (45miles in 3hrs)
Hector: y=18× (54miles In 3hrs)
Distance = speed ×time
solve the inequality 4p-5<25
Answers
Answer:
p<15/2
Step-by-step explanation:
p<(25+5)/4
p<30/4
p<15/2
Julia's family wants to save for her four-year college education. After some research, they
estimate that the total cost for a state school will be about $72,000. They have saved $50,000
so far, and Julia is 14 years old. If her family saves $250 a month for the next 4 years, how much
money will Julia need in financial aid to pay for her education?
Answers
Answer:
She will need $10000 in financial aid
Step-by-step explanation:
Step 1: Determine the money in 4 yeras
$250 a month * (4 years * 12 months per year)
$250 a month * (48 months)
$12000
Step 2: Determine the total amount
$50000 + $12000
$62000
Step 3: Determine the difference
$72000 - $62000
$10000
Answer: She will need $10000 in financial aid
Answer:
She will need $10000 in financial aid
Step-by-step explanation:
Step 1: Determine the money in 4 yeras
$250 a month * (4 years * 12 months per year)
$250 a month * (48 months)
$12000
Step 2: Determine the total amount$50000 + $12000
$62000
Step 3: Determine the difference
$72000 - $62000
$10000
Answer: She will need $10000 in financial aid
Help me asap!!!
Stem leaf
1
2, 4, 8
2
3,3,5
3
Mean=
2, 5
Median =
Mode =
Range =
-
-
A triangle has angles measuring 35º and 65º. What is the measure of the triangle's third
Answers
Answer:
Mean=30
Median=30.5
Mode=None
Range=11
Step-by-step explanation:
The mean is all the numbers added together then divided by how many numberes there are.
24+28+33+35=120
120/4=30
Median is the the middle of the data set when arranged least to greatest. Since its a even number the median will consist of two numbers. 28 and 33
28+33=61
61/2=30.5
Mode is the number most seen in the data set. Theyre all seen once so no mode
Range is the highest value subtracted from the lowest.
24-35=11
Point A has coordinates (0,4).
Point B has coordinates (1,6).
Point C has coordinates (2,0).
Find an equation of the line that passes through C and is perpendicular to AB.
equation needs to be in the form ax+by= c
a and b need to he integers ASAP PLS HELP
Answers
Answer:
x - 6y - 2 = 0
Step-by-step explanation:
Let “m” be the slope of line AB
and “a” be the slope of the line that passes through C and is perpendicular to AB
Then
[tex]m = \frac{6-0}{1-2} =-6[/tex]
The second line is perpendicular to AB
then
m × a = -1
then
-6 × a = -1
then
[tex]a=\frac{1}{6}[/tex]
C(2,0) lies on the line of equation y=ax+b
⇔ C(2,0) lies on the line of equation y=(1/6)x+b
⇔ 0 = (1/6)×2 + b
Then b= -1/3
Therefore Our equation is :
y = (1/6)x - 1/3
⇔ 6y = x - 2
⇔ x - 6y - 2 = 0
The number of water bottles used during a team's football practice varies directly with the temperature. If a team
uses 75 bottles when the temperature is 60°, what is the temperature if they use 120 bottles?
Answers
Answer:
96 degress letter G
Step-by-step explanation:
The graph of a linear function is shown on the grid.
Which function is best represented by this graph?
Answers
Answer:
its the fourth one g(x)=-⅔x+4
Step-by-step explanation:
the incline of the graph is down , and the point the graph meets y axis is +4
Answer:nits c
Step-by-step explanation:
PLEASE HELP!!
The rodriguez and peralta families went to the local pizzeria for supper. The items purchased and the total cost of the purchases are shown in the table below. Find the cost per pizza and drink.
Answers
The cost of each pizza is $12.50 while the cost of each drink is $1.99.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the cost of each pizza and y the cost of each drink. Hence:
3x + 5y = 47.45 (1)
Also:
4x + 8y = 65.92 (2)
From both equations:
x = 12.5, y = 1.99
The cost of each pizza is $12.50 while the cost of each drink is $1.99.
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Solve the system y=-x+7 and y=-.5(x-3)^2+8
Answers
If the radius of a sphere is increasing at the constant rate of 3 centimeters per second, how fast is the volume changing when the surface area is 10 square centimeters
Answers
How fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.
To solve the question, we need to know the volume of a sphere
Volume of a sphereThe volume of a sphere V = 4πr³/3 where r = radius of sphere.
How fast the volume of the sphere is changingTo find the how fast the volume of the sphere is changing, we find rate of change of volume of the sphere. Thus, we differentiate its volume with respect to time.
So, dV/dt = d(4πr³/3)/dt
= d(4πr³/3)/dr × dr/dt
= 4πr²dr/dt where
dr/dt = rate of change of radius of sphere and 4πr² = surface area of sphereGiven that
dr/dt = + 3 cm/s (positive since it is increasing) and 4πr² = surface area of sphere = 10 cm²,Substituting the values of the variables into the equation, we have
dV/dt = 4πr²dr/dt
dV/dt = 10 cm² × 3 cm/s
dV/dt = 30 cm³/s
So, how fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.
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