solve
1. (x+3) (x+4)=0

2. (2x-3)(x-1)=0

Answers

Answer 1

Answer:

(i) (x+3)(x+4)=0

x+3= 0 ⇒ x= -3 x+4= 0⇒ x= -4

(ii) (2x-3)(x-1) =0​

2x-3= 0 ⇒ 2x=3 ⇒ x= 3/2 x- 1= 0 ⇒ x= 1

Related Questions

A farmer wants to estimate the number of rabbits on his farm.
On Monday he catches 120 rabbits.
He puts a tag on each rabbit.
He then lets the rabbits run away.
On Tuesday the farmer catches 70 rabbits.
15 of these rabbits have a tag on them.
Work out an estimate for the total number of rabbits on the farm.
You must write down any assumptions you have made.
(4marks)

Hello can someone help me with this question my assumption is : the population has not changed- no member have joined or left the population , there are no deaths or births.

Answers

Answer:

There is a possibility of births and deaths. This also, informs us of a larger population.

Step-by-step explanation:

This is because there are 333% more rabbits without a tag than with one. This giving us the possibility shown above!

Mark as brainliest

Answer:  560 total rabbits

Step-by-step explanation:

Your assumptions are great but you can also add the assumption that the ratio of the rabbits caught on Monday is the same ratio of the rabbits caught on Tuesday.

[tex]\text{Tuesday:}\quad \dfrac{15\ tags}{70\ rabbits}=\dfrac{3\ tags}{14\ rabbits}\ \leftarrow simplified[/tex]

Assumption:

3/14 of the total rabbits on the farm = 120 tagged on Monday

Let r represent the total rabbits on the farm

then (3/14)r = 120

                r = 120(14/3)

                r = 560

Given AD || GJ. Refer to the figure and provide an appropriate name for BCF and GHF.

A. alternate interior angles
B. same-side interior angles
C. corresponding angles
D. alternate exterior angles

Answers

Answer:

C. Corresponding angles

Step-by-step explanation:

Corresponding angles are angles formed by a transversal on the same side of the transversal and on the same side of each parallel lines.

Trig work i don’t understand. pls help

Answers

Answer: A

Step-by-step explanation:

So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees  and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.

To find  H we need to apply trigonometry solve for h the height.

As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is  going to be using the sin formula opposite over hypotenuse.

[tex]sin(26)=\frac{h}{25}[/tex]    solve for h by multiplying both sides by 25.

h= 25 sin(26)

h= 10.96   is being rounded to the nearest hundredth because that is essential

Now we know H is equal to 10.96  which is the Height so now we have all the information we need the height and the base.

Multiply 10.96 by 32 and divide it by 2.

10.96 * 32 =  350.72

350.72 /2 = 176.36  

The best answer is A  because that is the only best approximation to 175.35.

Quickly for the brainiest one and 6 points plus 5 stars.

Answers

Answer:

Find out how much is 1

Multiply 1/2 by 2 to get 1 and multiply 14 by 2 so the ratio is equal

1/2 x 2 = 1

14 x 2 = 28

so 1 = 28

Multiply everything 28

I'm pretty sure I have it in order clockwise

3/14 x 28 = 84/14 = 6/1 = 6

1/14 x 28 = 28/14 or 2

5/7 x 28 140/7 = 20

3/7 x 28 = 84/7 = 12

2/7 x 28 = 56/7 = 8

1/7 x 28 = 28/7 = 4

3/4 x 28 = 84/4 = 21

1/4 x 28 = 28/4 = 7

I'm guessing the middle would be 1 is 28

Hope this helps

Step-by-step explanation:

Can someone help me with this question please.

Answers

Answer: The length of PQ is 37 KM

Step-by-step explanation:

(x+15) + 3(x+15)+ x=245

distribute

(x+15) + 3x+45+x

remove parenthesis

x + 15 + 3x + 45 + x

Add like terms

5x + 60 = 245

Subtract 60 from both sides

5x + 60 - 60 = 245 - 60

5x = 185

divide by 5

x = 37

<!> Brainliest is appreciated! <!>

Houses in an estate are all identical. However, a person can purchase a new house with some, all, or none of a set of options, as indicated by the set below. How many options are there for purchasing a house in this community? flake view, screened-in balcony, upgraded landscaping, pool} options for purchasing a house in the community. There are

Answers

Answer:

120

Step-by-step explanation:

The options are:

flake view, screened-in balcony, upgraded landscaping, pool - 5 in total

Using the fundamental counting principle formula - n! where n is the number of elements = 5, we have

n! =5! = 5x 4 x 3 x 2 x 1 = 120.

There are 120 120 options for purchasing a house in the community.

A car is traveling at a speed of 75 miles per hour. What is the car's speed in miles per minute? How many miles will the car travel in 20 minutes? Do not round your answers.

Answers

Answer:

1.25MilesPerMinute

Step-by-step explanation:

Find the eight term of the geometric sequence for which a_1 = 5 and r = ­-2.

Answers

Answer:

T8 = -640

Step-by-step explanation:

[tex]a =5\\r = -2\\Tn = ar^{n-1} \\T8 =5(-2)^8^-^1\\T8 = 5(-2)^7\\T8 = 5* -128\\T8 = -640[/tex]

Answer:

For a geometric sequence

U(n) = ar^n-1

where

a = first term

r = common ratio

n= number of terms

From the above statement

a = 5

r = -2

n = 8

U(8) = 5(-2)^8-1

= 5(-2)^7

= - 640

Hope this helps

What is the product of (-a + 3)(a + 4)?

Answers

Answer:

-a^2 -a + 12

Step-by-step explanation:

You have to multiply all four together.

-a times a = -a^2

-a times 4 = -4a

3 times a = 3a

3 times 4 = 12

Add them all together =

-a^2 - a + 12

The answer is :

-a^2-a+12

Step-by-step explanation:

-a(a) is -a

-a(4) is -4a

3(a) is 3a

3(4) is 12

So,

-a^2-4a+3a+12

Simplify

-4a+3a is -a bcz -4+3 is -1

Final answer

a^2-a+12

use the substitution method to solve the system of equations choose the correct ordered pair. 2x+2y=16 y=x-4

Answers

Answer:

(6, 2)

Step-by-step explanation:

Step 1: Substitute y in the 1st equation

2x + 2(x - 4) = 16

Step 2: Solve for x

2x + 2x - 8 = 16

4x - 8 = 16

4x = 24

x = 6

Step 3: Plug in x to find y

y = 6 - 4

y = 2

Please help with the right answer.​

Answers

Sorry but what is the question?
X = 4 and Y = 4 square root 3

Please help ! Need answers. ASAP I’m not sure how to do them . Please give answers to both questions:)

Answers

Answer:

a= 30 b=-78

Step-by-step explanation:

Answer:

1) Option 1

2) Option 2

Step-by-step explanation:

1) 2df+3de

Where d = 10, e = -1 and f = 3

=> 2(10)(3) + 3(10)(-1)

=> 60 - 30

=> 30

2) -2ghi + 3hi

Where g = -5, h = -3 and i = 2

=> -2(-5)(-3)(2) + 3(-3)(2)

=> -60 - 18

=> -78

which fraction has a repeating decimal expansion

Answers

Answer:

Fractions whose reduced form have denominators with factors other than 2, 5 will have repeating decimal expansions.

Step-by-step explanation:

The decimal expansion will terminate only if the fraction can be written an some numerator over a denominator that is a power of 10. hope this helps you :)

help i don't understand

Answers

Answer:

x = mn+y

Step-by-step explanation:

=> [tex]m = \frac{x-y}{n}[/tex]

Multiplying n to both sides

=> x-y = mn

Now, Adding y to both sides

=> x = mn+y

Answer:

x = m n + y

Step-by-step explanation:

How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from

yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer

Manatee Springs

Elephant

House

3,500 yds

- 200 yds

Tran Depot

2000

Bird Sanctuary

Main Gate

(SHOW WORK)

Answers

Answer:

6.04 km

Step-by-step explanation:

From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.

Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:

[tex]\frac{3500\ yards}{2000\ yards} = \frac{4200\ yards}{x}\\ x= \frac{4200\ yard*2000\ yards}{3500\ yards}=2400\ yards[/tex]

x = 2400 yards.

The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards

The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km

The distance from the main gate to Manatee Springs = 6.04 km

What is the slope of the line through (-9, 6) and (-6, -9)? A/ ⅕ B/ 5 C/ -5 D/ -⅕

Answers

Answer:

-5

Step-by-step explanation:

We can find the slope between two points by using

m = (y2-y1)/(x2-x1)

    = ( -9-6)/(-6 - -9)

   =(-9-6)/( -6+9)

  -15/3

   -5

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 6) and (x₂, y₂ ) = (- 6, - 9)

m = [tex]\frac{-9-6}{-6+9}[/tex] = [tex]\frac{-15}{3}[/tex] = - 5 → C

Solve the right triangle, ΔABC, for the missing side and angles to the nearest tenth given sides a = 13.2 and b = 17.7.

Answers

Answer:

Side c = 22.1

Angle A = 36.7°

Angle B = 53.2°

Angle C = 90.1°

Step-by-step explanation:

Triangle ABC is a right angle

Where given sides

a = 13.2

b = 17.7

We can find c using Pythagoras Theorem

Pythagoras Theorem for a right angle triangle=

c² = a² + b²

c = √(a² + b²)

c = √(13.2² + 17.7²)

c = 22.08008

≈To the nearest tenth = 22.1

We can solve for Angles A, B, C using Cosine rule

Angle A

a² = b² + c² - 2bc × Cos A

Cos A = b² + c² - a²/2bc

A = Arc cos ( b² + c² - a²/2bc)

A = Arc cos ( 17.7² + 22.1² - 13.2²/2 × 17.7 × 22.1)

A = 36.67563°

≈ To the nearest tenth = 36.7°

Angle B

b² = a² + c² - 2ac × Cos B

Cos B = a² + c² - b²/2ac

B = Arc cos (a² + c² - b²/2ac)

B = Arc cos(13.2² + 22.1² - 17.7²/ 2 × 13.2 ×22.1)

B = 53.21647°

≈Approximately to the nearest tenth = 53.2°

Angle C

c² = a² + b² - 2ab × Cos C

Cos C = a² + b² - c²/2ab

C = Arc cos ( a² + b² - c²/2ab)

C = Arc cos ( 13.2² + 17.7² - 22.1²/2 × 13.2 × 17.7)

C = 90.1079°

≈ to the nearest tenth = 90.1°

A raft travels down river at a rate of 6 miles per hour. The total distance d in miles that the raft travels is equal to the rate times the number of hours h. What is the independent variable? * What is the dependent variable? * Write an equation for this situation. (using h and d) *

Answers

Answer:

d=6h

Step-by-step explanation:

Speed of the raft= 6 miles per hour

Total distance (d) of the raft= rate × number of hours

d=r*h

Independent variable is the number of hours(h)

Dependent variable is the distance (d)

Equation for the situation

d=r*h

d=distance

r=rate

h=number of hours

From the question,

r=6 miles per hour

Therefore,

The equation is

d=r*h

d=6*h

d=6h

I Need the answer ASAP PLEASE HELPPPP What is 7/ 16 · 1 /2 ? A) 7/ 8 B) 7/ 32 C) 14/ 32 D) 7 /64

Answers

Answer:

B

Step-by-step explanation:

7/16 times 1/2 would be 7/32 because when you multiply fractions you multiply the top and the bottom like this

7 x 1

and 16 x 2

using this logic you can multiply both fractions to make

7/32

Answer:B) 7/ 32

alll you gotta do is multiply across and its already simplified

Which function is represented by this graph?

Answers

Answer:

Option B.

Step-by-step explanation:

From the given graph it is clear that it is a V-shaped graph. It means, it is the graph of absolute function.

The vertex form of an absolute function is

[tex]y=a|x-h|+k[/tex]

where, a is a constant and (h,k) is the vertex.

From the given graph it is clear that the vertex is at (7,-3). It means h=7 and k=-3.

[tex]y=a|x-(7)|+(-3)[/tex]

[tex]y=a|x-7|-3[/tex]    ...(1)

It passes through (4,0).

[tex]0=a|4-7|-3[/tex]

[tex]3=3a[/tex]

[tex]1=a[/tex]

Put this in (1).

[tex]y=1|x-7|-3[/tex]

[tex]y=|x-7|-3[/tex]

Therefore, the correct option is B.

what is the 8th term of this sequence 1, -1/2, 1/4, -1/8

Answers

Answer:

-1/128

Step-by-step explanation:

1,-1/2,1/4,-1/8,1/16,-1/32,1/64,-1/128

Work out the sum of the interior angles of any quadrilateral.

Answers

Answer:

The sum of the interior angles is 360 degrees.

Step-by-step explanation:

The sum of all digits in the numbers 44, 45 and 46 is 27 because (4+4)+(4+5)+(4+6)=27. Find the sum of digits in the first 25 counting numbers: 1, 2, 3, …, 25.
In other words....
1+2+3+4+5+6+7+8+9+1+0+1+1+1+2+1+3+1+4+1+5+1+6+1+7+1+8+1+9+2+0+2+1+2+2+2+3+2+4+2+5

Answers

Answer:

The sum of all digits in the first 25 counting numbers is 127

Hope this helps

14.3p – 32.24 = 127.92 14.3p – 32.24 + 32.24 = 127.92 + 32.24 14.3p = 160.16 StartFraction 14.3 p Over 14.3 EndFraction equals StartFraction 160.16 Over 14.3 EndFraction.

Answers

Answer:

p = 11.2

Step-by-step explanation:

The computation is shown below:

Data provided in the question

2.6(5.5p – 12.4) = 127.92

Now

Distributive Propertyis

14.3p - 32.24 = 127.92

Addition Property is

14.3p = 127.92 + 32.24

Division Property is

14.3p ÷ 14.3 = 160.16 ÷ 14.3

p = 11.2

We simply find the value of p by applying the distributive property, addition property, and the division property and the same is to be considered

Answer:

The Answer is 11.2

Step-by-step explanation:

Find the product. Simplify if possible.
2
49
x7​

Answers

Answer:

1743

Step-by-step explanation:

did the math

Answer:

154/9

Step-by-step explanation:

so lets put this in multiplacation form

[tex]2\frac{4}{9} * 7[/tex]

Then put the 2 4/9 in mixed number form

22/9* 7 or...

22/9*7/1

154/9

What's the numerator for the following rational
expression?

Answers

Answer:

x + 3

Step-by-step explanation:

Since the fractions have the same denominator we can add them. Adding them gives us (x + 3) / y so the numerator is x + 3.

Answer:

x + 3

Step-by-step explanation:

Which of these is a geometric sequence?

Answers

The answer would be letter B

Its gonna be Answer B

Which is the correct equation for calculating the kinetic energy of an object? K times E = m times g times h. K times E = one half m v squared. K times E = one half a t squared. K times E = one quarter g squared.

Answers

Answer:

KE = 1/2mv²

Step-by-step explanation:

The answer above is the formula for calculating kinetic energy. It is wise to remember it.

Answer:

Here is the answer np! :)

Step-by-step explanation:

please help me! What is the approximate value of y? Round to the nearest tenth. A.) 3.1 B.) 3.9 C.) 4.6 D.) 5.4

Answers

Answer:

Option (C). 4.6 cm

Step-by-step explanation:

In the figure attached,

A right triangle has been given with hypotenuse = 6 cm, leg 1 = x cm, leg 2 = y cm and one angle = 50°

By applying Sine rule in this triangle,

Sin(50)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{\text{Leg 1}}{\text{Hypotenuse}}[/tex]

Sin(50)° = [tex]\frac{x}{6}[/tex]

x = 6(Sin50°)

x = 4.59

x ≈ 4.6 cm

Therefore, Option (C) will be the answer.

HELP ME PLEASEEEEEEEE

Answers

X Y

-2 11

-1 7

0 3

1 -1

2 -5

-2 = 16 times minus 2 plus 4y equals to 12

-1 = 16 times minus 1 plus 4y equals to12

0 = 16 times 0 plus 4y equals to 12

1 = 16 times 1 plus 4y equals to 12

2 = 16 times 2 plus 4y equals to 12

Therefore,

-2 = 16 * -2 + 4y = 12

-32 + 4y = 12

4y = 12 + 32

4y = 44

y = 44/4

y = 11

-1 = 16 * -1 + 4y = 12

-16 + 4y = 12

4y = 12 + 16

4y = 28

y = 28/4

y = 7

0 = 16 * 0 + 4y = 12

0 + 4y = 12

4y = 12 + 0

4y = 12

y = 12/4

y = 3

1 = 16 * 1 + 4y = 12

16 + 4y = 12

4y = 12 - 16

4y = -4

y = -4/4

y = -1

2 = 16 * 2 + 4y = 12

32 + 4y = 12

4y = 12 - 32

4y = -20

y = -20/4

y = -5

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Depreciation was $123,000. The tax rate was 23 percent. a. What was the companys net income? (Do not round intermediate calculations. Enter your answer in dollars, not millions of dollars, rounded to the nearest whole dollar amount, e.g., 1,234,567.) b. What was the companys operating cash flow? (Do not round intermediate calculations. Enter your answer in dollars, not millions of dollars, rounded to the nearest whole dollar amount, e.g., 1,234,567.) Western Company is preparing a cash budget for June. The company has $12,000 cash at the beginning of June and anticipates $30,000 in cash receipts and $34,500 in cash disbursements during June. Western Company has an agreement with its bank to maintain a minimum cash balance of $10,000. As of May 31, the company owes $15,000 to the bank. 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