what is the product of (3 + x) and (2x – 5)

Answer:

2x + 7

Step-by-step explanation:

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

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.

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

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

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

Answer:

C  router

Step-by-step explanation:

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.

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.

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!

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.

Answer:

I am not sure.

Step-by-step explanation:

I've never been to summer school so- :/

Answer:3

Step-by-step explanation:

Just count from -1 to positive 2 the dot doesn’t move

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]

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

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]

Answer:

Quadrant III or 3rd quadrant

Step-by-step explanation:

( - 3, - 9 ) is located in 3rd quadrant.

#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!

#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!

Answer: 0. 92 = 92%

100% = 500

92% = 500 × 92/100 = 460

Step-by-step explanation:

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

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.

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

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

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.

Answer:

Step-by-step explanation:

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

Please 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;

Points 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;

Therefore;

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

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(- _-.)