Answer:
2x² + x - 15
Step-by-step explanation:
(3 + x)(2x - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
3(2x - 5) + x(2x - 5) ← distribute both parenthesis
= 6x - 15 + 2x² - 5x ← collect like terms
= 2x² + x - 15
Which system of inequalities is shown in the graph?
&
A. y 2 X+1
yzx-3x
B. ys X+1
ys 2-3x
O C. ys x+1
yz x2-3x
O D. ys-x+1
ysx2-3x
Answer:
A
Step-by-step explanation:
because when i dentify graph theres y an x
The feasible region of the result is defined by the system of inequalities.
Correct response:
The system of inequalities shown in the graph is given by the option B.
B. y ≤ x + 1
y ≤ x² - 3·x
Methods used to find the system of inequalitiesPlease find attached the possible graph of the inequality
The possible graph obtained from a similar question has a straight line portion and a quadratic portion.
Points on the straight line are; (0, 1), (3, 4), and (5, 6)
Therefore;
[tex]Slope \ of \ the \ line = \dfrac{6 - 1}{5 - 0} = 1[/tex]
Equation of the line is; y - 1 = 1 × x
Therefore;
y = x + 1
The shaded region is below the line which gives;
y ≤ x + 1Points on the quadratic graph are; (0, 0), (4, 4), and (2, -2).
The general form of a quadratic equation is; y = a·x² + b·x + c
Therefore, we have;
0 = a × 0 + b × 0 + c
Which gives;
c = 0
4 = a × 4² + b × 4 = 16·a + 4·b
-2 = a × 2² + b × 2 = 4·a + 2·b
4 = 16·a + 4·b...(1)
-2 = 4·a + 2·b...(2)
Multiplying equation (2) by 2 and subtracting from equation (1) gives;
2 × -2 = 2 × (4·a + 2·b) = 8·a + 4·b
-4 = 8·a + 4·b
4 - (-4) = 16·a + 4·b - (8·a + 4·b) = 8·a
8 = 8·a
[tex]a = \dfrac{8 }{8} = 1[/tex]
a = 1
-2 = 4 × 1 + 2·b
2·b = -2 - 4 = -6
[tex]b = \dfrac{-6}{2} = \mathbf{ -3}[/tex]
Which gives;
y = 1·x² - 3·x = x² - 3·x
The line is a solid line and shaded region is the region under the graph which gives;
y ≤ x² - 3·xTherefore;
The inequalities in the graph are given by option B.
B. y ≤ x + 1
y ≤ x² - 3·x
Learn more about graph of inequalities here:
https://brainly.com/question/6749279
Daniel expanded the expression as shown.
What errors did he make? Select three options.
Answer:
Below.
Step-by-step explanation:
The second term should be positive.
The last term should be -1 1/2 not -1 1/4.
He did not correctly multiply -8 and -2.
Answer:
b,c,d
Step-by-step explanation:
(.*_*)hope this helps(- _-.)
solve for x,ty!
No links
Answer:
Step-by-step explanation:
[tex]\frac{-3x}{2}[/tex] = 5
multiply both sides by 2
2 ( [tex]\frac{-3x}{2}[/tex] = 5 )
-3x = 10
divide both sides by [tex]\frac{-1}{3}[/tex]
[tex]\frac{-1}{3}[/tex] ( -3x = 10 )
x = [tex]\frac{-10}{3}[/tex]
got it?
Answer:
x = -10/3
Step-by-step explanation:
2(-3x/2) = (5)2
-3x = 10
----- ---
-3 -3
x = -10/3
Name the quadrant or axis where the point (-3,-9) is located.
Answer:
Quadrant III or 3rd quadrant
Step-by-step explanation:
( - 3, - 9 ) is located in 3rd quadrant.
What is the device that converts the signals to and from the wires so that the data can be sent and received by the computer?
A
domain name system
B
network
C
router
D
IP address
Answer:
C router
Step-by-step explanation:
A router is a networking device whcich takes and forwards the packages and performs traffic functions. Data that is sent through the internet such as web page and email. All are forwarded through this device to the internet. A router may be connected to the IP Address network and reads the packet before sending it to its destination.determine if these triangles are congruent and why 3-4
#3.
Triangle RCH is congruent to Triangle NCH by SAS.
Side 1 - reflexive (CH)
Angle - given
Side 2 - given
#4.
Triangle SOK is congruent to Triangle XAM by ASA.
Angle 1 - angle X is 53 degrees, as is angle S
Side - given
Angle 2 - angle A is 103 degrees, as is angle O
Hope this helps!
Please help me solve this problem
Given m||n, find the value of x. (4x-7) degrees (3x+9) degrees It's transversal problems with equations Can anyone help please
Answer:
See explanation
Step-by-step explanation:
Given
[tex]\angle 1 = 4x - 7[/tex]
[tex]\angle 2 = 3x + 9[/tex]
Required
Find x
The question is incomplete, as the relationship between both angles is not given
(1) If they are supplementary, then
[tex]\angle 1 + \angle 2 = 180[/tex]
[tex]3x + 9 + 4x - 7 = 180[/tex]
Collect like terms
[tex]3x + 4x = 180+7-9[/tex]
[tex]7x = 178[/tex]
Divide both sides by 7
[tex]x = 25.43[/tex]
(2) If they are complementary, then
[tex]\angle 1 + \angle 2 = 90[/tex]
[tex]3x + 9 + 4x - 7 = 90[/tex]
Collect like terms
[tex]3x + 4x = 90+7-9[/tex]
[tex]7x =88[/tex]
Divide both sides by 7
[tex]x = 12.57[/tex]
(3) If they are vertically opposite angles, then
[tex]\angle 1 = \angle 2[/tex]
So, we have:
[tex]4x - 7 = 3x + 9[/tex]
Collect like terms
[tex]4x - 3x = 9 +7[/tex]
[tex]x = 16[/tex]
2. Dentre as formas de representar um número decimal, a mais comum é a que utiliza vírgula. Valor como 0,25 está presente nos comércios, nos hospitais, nas lanchonetes e em muitos outros lugares. Esse valor também pode ser representado por A. ( ) 25/10 B. ( ) 1/4 C. ( )1/25 D. ( ) 1/25
Answer:
B: 0.25 = 1/4
Step-by-step explanation:
Queremos encontrar otra representación del número 0.25
Notar que hay dos decimales luego de la coma, por lo que podemos multiplicar este número y dividir por 100.
0.25 = 0.25*1 = 0.25*(100/100) = (0.25*100)/(100) = 25/100
Ahora tenemos el número escrito como una fracción, la cual debemos simplificar.
25/100
Podemos ver que tanto el numerador como el denominador son multiplos de 5, por lo que podemos dividir ambos por 5:
25/100 = (25/5)/(100/5) = 5/20
Nuevamente, ambos son multiplos de 5, por lo que podemos dividir ambos por 5.
5/20 = (5/5)/(20/5) = 1/4
así tenemos:
0.25 = 25/100 = 5/20 = 1/4
0.25 = 1/4
La opción correcta es B.
Consecutive numbers are whole numbers that follow in order such as 7, 8, 9, 10, and so forth. Suppose the average of 15 consecutive numbers is 15. What is the average of the first five numbers of the set?
Answer:
10
Step-by-step explanation:
First, we need to find the sum of the 15 consecutive numbers. The formula to finding the average of a set of numbers is the sum of the terms divided by the number of terms. So to find the sum, you do 15x15 because the average is 15 and there are 15 numbers. 15x15=225, so you know the sum of the consecutive numbers is 225. Let X be equal to the first consecutive number of the 15 consecutive numbers.
X+(X+1)+(X+2)+(X+3)....+(X+14)=225
=15X+(105)=225
=15X=225-105
=15X=120
=X=8
So the first consecutive number of the 15 is 8. Therefore, the second consecutive number is 9, the third is 10, and so on. The question asks for the average of the first five numbers, which is 8, 9, 10, 11, and 12.
The summation formula is [tex]S=(\alpha_{1}+\alpha_{n})\frac{n}{2\\}[/tex].
[tex]S=(\alpha_{1}+\alpha_{n})\frac{n}{2\\}\\ S=(8+12)\frac{5}{2}\\ S=(20)2.5\\ S=50[/tex]
So the sum of the first five consecutive numbers is 50. Since there are 5 numbers, you do 50÷5=10. Therefore, the answer is 10.
F−g+(−2)f, minus, g, plus, left parenthesis, minus, 2, right parenthesis where f = -3.005f=−3.005f, equals, minus, 3, point, 005 and g = 4.7g=4.7
Answer:
[tex]f-g+(-2) = -9.705[/tex]
Step-by-step explanation:
Given
[tex]f = -3.005[/tex]
[tex]g=4.7[/tex]
Required
Determine [tex]f-g+(-2)[/tex]
We have:
[tex]f-g+(-2)[/tex]
Open brackets
[tex]f-g+(-2) = f-g-2[/tex]
Substitute values for f and g
[tex]f-g+(-2) = -3.005-4.7-2[/tex]
Solve
[tex]f-g+(-2) = -9.705[/tex]
Answer:
the answer i got was
-9.705
Step-by-step explanation:
i did it on khan
which ordered pair is the best estimate for the solution to the system?
The solution to the system is the point of intersection.
Since the two lines intersect at point (1/2,0) .
(1/2,0) is the best ordered pair to estimate for the solution to the system
OPTION D is the correct answer.
How far apart are -14 1/2 and 2 on the number line
Which of the following represent(s) a non-linear relation?
i'm giving an example
Step-by-step explanation:
Answer
Open in answr app
Correct option is
B

Options A, B and D are equations of lines. We prove that the points in option B don't lie on a line. Consider the line passing through first two points. Its equation is
2−12y−12=0−(−4)x−(−4)
⟹−10y−12=4x+4
⟹2y−24=−5x−20
⟹5x+2y=4.
If we put (4,−6) into this equation,
LHS=5×4+2×(−6)=8=4=RHS. Which means that the point (4,−6) does not lie on the line joining the points (−4,12) and (0,2). Which is what we wanted to show.
C and D
In case of A:
-7/-2=-14/-4=-24.5/-7=-28/-8= 3.5
In case if B:
6/-2= 12/-4=21/-7= 24/-8 = -3
In case of C:
4/-2≠ 16/-4≠49/-7≠64/-8
In case of D:
1.4/-2≠2/-4≠2.6/-7≠2.8/-8
When a coin and die are tossed together find the probability of getting:
a)coin with head and die with prime number
b)coin with head and die with composite number
c)coin with tail and die with even prime number
Answer:
a) 1/4
b) 1/6
c) 1/12
Step-by-step explanation:
Let S be the sample space.
S={H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}
n(s) =12
Events
A: coin with head and die with prime number .
B:coin with head and die with composite number.
C:coin with tail and die with even prime number.
a) A={H2,H3,H5}
n(A) = 3
P(A) =n(A)/n(S)
=3/12
= 1/4
b) B={H4,H6}
n(B)= 2
P(B) = n(B)/n(S)
= 2/12
= 1/6
c) C ={T2}
n(C) = 1
P(C) = n(C)/n(S)
= 1/12
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −34?
Parallel Perpendicular Neither
Line M, with slope3/4 Line N, with slope 4/3 Line P, with slope -4/3 Line Q, with slope -3/4
Given:
The slope of a line is [tex]-\dfrac{3}{4}[/tex].
To find:
The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.
Solution:
We know that the slopes of parallel lines are equal.
The slope of line Q and the slope of given line are same, i.e., [tex]-\dfrac{3}{4}[/tex]. So, the line Q is parallel to the given line.
The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.
The slope of a line is [tex]-\dfrac{3}{4}[/tex]. It means the slope of the perpendicular line must be [tex]\dfrac{4}{3}[/tex]. So, the line N is perpendicular to the given line.
The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.
Therefore, the lines M and P are neither parallel nor perpendicular.
The Temperature t is at least 75f
Answer:
75 ≥ t
Step-by-step explanation:
Answer: [tex]t \ge 75[/tex]
Explanation: Since t is at least 75 degrees Fahrenheit, this is the same as saying "t = 75 or more". In other words, t = 75 is the lowest we can go. We can consider it a floor value. So that's why we would write that t is greater than or equal to 75.
A newly drilled water well produces 50,000 quarts of water per week. With no new water feeding the well, the production drops by 5% per year. Using 52 weeks in a year, what is the total number of quarts of water that can be drawn from this water well before it goes dry?
Answer:
Total amount of water = 5,200,000
Step-by-step explanation:
Given:
water produced = 50,000 quarts of water per week
Production drop = 5% = 0.05 per year
Number of week in year = 52 week
Find:
Total amount of water
Computation:
Sum = a / r
a = 50,000 x 52
a = 2,600,000
Sum = a / [1-r]
Sum = 2,600,000 / 5%
Sum = 2,600,000 / 0.05
Total amount of water = 5,200,000
A store bought a tent for $230 and marked it up 65% The store sells the tent with the 8% tax what is the total cost of the tent
Answer:
$409.86
Step-by-step explanation:
To find the price after marking it up, 230 x 0.65 = 149.5
230 + 149.5 = 379.5
Usually we add tax after the discount/markup.
379.5 x 0.08 = 30.36
379.5 + 30.36 = $409.86
Hope this helps!
What are the steps to understanding this problem as well as the answers.
Step-by-step explanation:
1
[tex] \frac{1}{3 + 4i} \times \frac{3 - 4i}{3 - 4i} = \frac{3 - 4i}{25} = \frac{ 3}{25} - \frac{4i}{25} [/tex]
2)
[tex] \frac{1}{3 - 4i} \times \frac{3 + 4i}{3 + 4i} = \frac{3 + 4i}{25} = \frac{ 3}{25} + \frac{4i}{25} [/tex]
3)
1+0i
4)
[tex] \frac{3 - 4i}{3 + 4i} \times \frac{3 - 4i}{3 - 4i} = \frac{ - 7 - 24i}{25} = - \frac{7}{25} - \frac{24i}{25} [/tex]
5)
3 - 4i
6)
[tex] \frac{3 + 4i}{3 - 4i} \times \frac{3 + 4i}{3 + 4i} = \frac{ - 7 + 24i}{25} = - \frac{7}{25} + \frac{24i}{25} [/tex]
the function f(x) = 1/3x + 5 and g(x) = x^2 + 4x are shown graphed below. The negative solution to the equation f(x) = g(x) is closest to which of the following?
(1) x= -4.7
(2) x= -1.1
(3) x= -3.4
(4) x= -7.5
thank you to anyone who answers this :))
Answer:
Step-by-step explanation:
help me with this math question
Answer:3
Step-by-step explanation:
Just count from -1 to positive 2 the dot doesn’t move
What are the local maximum and minimum values?
PLS HELP LIKE ASAP NO ROCKY
#3. A, C
The function increases from negative infinity to 3, at which point it switches to decreasing, and also from 5 to infinity, where we see it go up.
#4. B
The function is going down, or the y-values are decreasing, from 3 to 5.
#5.
Local Maximum = (3,4)
Local Minimum = (5,0)
#6. x = 2, x = 5
Hope this helps!
Suntali bought a mobile phone and sold to Dhurmus at 10% loss. Dhurmus again sold it for Rs 6,750 at 25% profit.
1) Find the cost price of mobile for Dhurmus.
2) Find the cost price of mobile for Suntali.
Answer
1.RS 5400
2.RS 6000
STEP
1.Dhurmus(c.p)
p%=s.p-c.p×100%
c.p
25%=(6,750-c.p)100%
25c.p=675,000-100c.p
(25+100)c.p=675,000
125c.p=675,000
125 125
Dhurmus(c.p)=RS 5400
2.Suntali
l%=c.p-s.p×100%
c.p
10%=c.p-5400×100%
c.p
10c.p=100c.p-540,000
(10-100)c.p= -540,000
-90c.p= -540,000
-90 -90
Suntali (c.p)= RS 6000
For summer school do u only go for the class you failed or all the classes you took that year?
Answer:
I am not sure.
Step-by-step explanation:
I've never been to summer school so- :/
I NEED HELP Please HELP ME OUT
Answer:
2x + 7
Step-by-step explanation:
help please! also an explanation would be helpful
There are two shapes a rectangle and a triangle.
Area of a rectangle = Length x width = 10 x 8 = 80 square ft.
Area of triangle = 1/2 x base x height = 1/2 x 6 x 8 = 24 square ft.
Total area = rectangle + triangle = 80 + 24 = 104 square ft.
Answer 104 square ft.
Answer:
104 ft^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 10*8 = 80
Then find the are of the triangle
A = 1/2 bh = 1/2 (6) * 8 = 24
Add the areas together
80+24 = 104
Will Mark brainlest !please help. (The probabilty of germenating a new flower seed is found to be 0.92,if you sow a packet of 500 seeds in the field ,how many seeds will you expect to be germinated)
Answer: 0. 92 = 92%
100% = 500
92% = 500 × 92/100 = 460
Step-by-step explanation:
Help on number 1 pls
Answer:
A
Step-by-step explanation:
5 is 50/1000, and 1/2% is equal to 5/1000
Answer:
A) 55/ 1,000
5 1/2% = 11 / 200 = 55/ 1,000
Actual lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 18 days. About what percentage of births would be expected to occur more than 54 days after the mean pregnancy length?
Solution :
The data is normally distributed.
The standard deviation is 18 days
Here the data is normally distributed and 54 days is 3 days of standard deviation.
Therefore, the percentage of the births that would be [tex]\text{expected to occur}[/tex] within the 54 days of the mean [tex]\text{pregnancy}[/tex] length is given by :
= P( -3 < Z < 3)
= 0.9544
= 95 %
Therefore, about 95% of the births would be [tex]\text{expected to occur}[/tex] within 54 days of the men [tex]\text{pregnancy}[/tex] length.
