Please answer number 1? Thank you

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

The simplified form of the rational expression (x²+5x+6)/(3x+6) is (x+3)/2.

And we used factorization to find the simplified form.

Factorization is a process to simplify the expression by finding the factors of that expression.

And to find the same expression from factors, you have to reverse the process.

Given:

The rational expression,

(x²+5x+6)/(3x+6).

Simplifying,

the expression using factorization method.

First, (x²+5x+6),

= x²+2x+3x+6

= x(x+2)+3(x+2)

= (x+2) (x+3)

And 3x+6 = 3(x+2)

Substituting the simplified values to the given expression,

(x²+5x+6)/(3x+6),

= (x+2) (x+3) / {3(x+2)}

Factor out the common factor,

= (x+3)/2

Therefore, the simplified form is (x+3)/2.

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Answer:

-4

Step-by-step explanation:

From the question, we can deduce that the algebraic expression is a multiplication of a number and a variable.

First instance;

Number = +1

variable= x

Output = -4

+1 * x = -4

x = -4/1 = -4

Second instance;

Let the unknown number be y.

Number = y

variable= 2x

Output = -8x

y * 2x = -8x

y = -8x/2x

y = -4

Check:

2x * -4 = -8x

Answer:

try 1/2

Step-by-step explanation:

Answer:

Before Christ

Step-by-step explanation:

While in the past it was before Christ, its been moving to Before the Common Era

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Answer:

y = 2x + 16

Step-by-step explanation:

Remember: The slope of perpendicular lines are negative reciprocals of each other.

1. Find the slope using the given equation.

   y= -1/2x +  8      Using the slope- intercept form  y = mx + b, the slope is -1/2 because it is the coefficient of the x-term .

  The new line is perpendicular to the given line and their slopes are negative reciprocals of each other.  You will use a slope = 2

2. Substitute into the slope intercept form y = mx +b , the value of the slope, "m" and the given point (-6, 4)  and solve for "b"

y = mx + b

4 = 2(-6) + b

4 = -12 + b

16 = b

3.  General form of slope intercept form: y = 2x +16

Answer:

Step-by-step explanation:

Required equations are:

Since d is same for both, we substitute d and solve for x:

They will be at same distance after 3 minutes

Time be x distance be y

Solve for x

The value of X when <1 = 3x+15 = 25. Then the value of the missing part of the sides of the kite (KITE) is given as follows;

X = 25

a.) ET = 60

b.) KE = 20

One of the properties of a kite is that it has two pairs of adjacent equal sides and the longer diagonal bisects the shorter one with the formation of angle 90°.

Therefore to calculate for X when <1 = 3x+15 is as follows;

<1 = 90°

90= 3x+15

3x = 90-15

3x = 75

X = 75/3

X = 25

But IT = ET

Given IT = 2x +20

X = 25

IT = ET = 2(20)+20

= 40+20 = 60

But KI = KE

Given that KI = 2x-30

X = 25

KI= KE = 2(25)-30

= 50-30 = 20

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Answer:

The solution is (3, 4). That is the point where the two lines intersect.

a. The center of the circle is (-2, -1).

b. The radius of the circle is √136.

c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:

Midpoint = ((-7 + 3)/2, (-4 + 2)/2)

= (-4/2, -2/2)

= (-2, -1)

Therefore, the center of the circle is at the coordinates (-2, -1).

b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.

Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)

Using the distance formula:

Distance = √[(3 - (-7))^2 + (2 - (-4))^2]

= √\([(3 + 7)^2 + (2 + 4)^2]\)

= √\([10^2 + 6^2\)]

= √[100 + 36]

= √136

Therefore, the radius of the circle is √136.

c. The equation for a circle with center (h, k) and radius r is given by:

\((x - h)^2 + (y - k)^2 = r^2\)

In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:

\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)

\((x + 2)^2 + (y + 1)^2 = 136\)

Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

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The correct option is - Unimodal and left skewed.

Dot plot

A dot plot is a graph that is made up of dots and a number line. The dots in the dot plot represent the frequency of the data. The greater the frequency of a data, the greater the number of dots .

Unimodal

The term "mode" in this context refers to any peak of the distribution, not just to the strict definition of mode which is usual in statistics .

A unimodal probability distribution or unimodal distribution is a probability distribution which has a single peak .

One reason for the importance of distribution unimodality is that it allows for several important results. Several inequalities are given below which are only valid for unimodal distributions.

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question attached here :-

Answer:

a. 9m + 8×$20 = $340

b. 9×$10.50 + 8×$10.50 = $178.50

Step-by-step explanation:

Its self-explanatory

Answer:

.

Step-by-step explanation:

Answer: trinomial

Step-by-step explanation:

i answered it

We need to know the value of the sides, we have two right triangles we will use the Pythagoras theorem.

The first triangle

the second triangle

The perimeter is

Answer:

Step-by-step explanation:

91.44 cm/d (centimeter per day)

Answer: Length = 40 inches

Width = 20 inches

Step-by-step explanation:

Let the width of the package be represented by x.

Since the length of the package must be twice its width, therefore the length will be: = 2 × x = 2x

Since the sum of the dimensions equals 60 inches. This will then be:

x + 2x = 60.

3x = 60

x = 60/3

x = 20

Therefore, the width = 20 inches

Length = 2x = 2 × 20 = 40 inches

The dimensions should be 40 by 20 inches.

The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24

Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.

Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9

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Answer:

X=11 trust me on my mom

An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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Answer:

6 to the 5th

Step-by-step explanation:

Answer:

6 to the 5th power

Step-by-step explanation:

The indicated measures in the given circle are:

a. m<A = 38°;   b. m(CE) = 56°;    c. m<C = 38°;   d. m<D = 39°;  

e. m<ABE = 67°

In order to find the indicated measures in the circle, recall that the measure of an inscribed angle is half of the measure of the intercepted arc based on the inscribed angle theorem.

Thus, we have:

a. m<A = 1/2(m(BD))

Substitute:

m<A = 1/2(76)

m<A = 38°

b. m(CE) = 2(m<CBE))

Substitute:

m(CE) = 2(28)

m(CE) = 56°

c. m<C = 1/2(m(BD))

Substitute:

m<C = 1/2(76)

m<C = 38°

d. m<D = 1/2(m(AC))

Substitute:

m<D = 1/2(78)

m<D = 39°

e. m<ABE = 1/2(m(ACE))

m<ABE = 1/2(m(AC) + m(CE))

Substitute:

m<ABE = 1/2(78 + 56)

m<ABE = 67°

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Answer:

12.5

Step-by-step explanation:

3 scoops = 1 cup

6 scoops = 2 cups

9 scoops = 3 cups

12 scoops = 4 cups

Using proportions, it is found that the correct option is:

c. 100 milliliters of the first brine solution, 900 milliliters of the second brine solution

The 1-liter solution, with 23.5% salt,  is composed by:

Hence, the combined equation is:

\(0.1x + 0.25(1 - x) = 0.235\)

\(0.1x + 0.25 - 0.25x = 0.235\)

\(0.15x = 0.015\)

\(x = \frac{0.015}{0.15}\)

\(x = 0.1\)

Hence, 0.1L = 100 mL of the first solution, 900 mL of the second, and option c is correct.

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Answer:

C.13

Step-by-step explanation:

Answer:

1. 38 oz / 2 lbs 6 oz

2. 254 in / 7 yd 2 in

3. 21 pt / 3 gal 2 qt 1 pt

4. 18,480 ft / 3 mi 2,640 ft

5. 180 oz / 6 lbs 12 oz

6. 525 s / 8 min 45 s

7. 318 in / 8 yd 2 ft 10 in (9.99996 inches not simplified)

8. 9 pt / 4 qt 1 pt

9. 15,885 s / 4 hr 24 min 45 s

The first answers are the ones I got originally and the second answers are the simplified ones.

Answer:

x = 16

Step-by-step explanation:

We are given the equation:

\( \displaystyle \large{10x + 8 = 11x - 8}\)

First, subtract both sides by 10x.

\( \displaystyle \large{10x - 10x+ 8 = 11x - 10x - 8} \\ \displaystyle \large{8= x- 8}\)

Then add both sides by 8 to isolate x-term.

\( \displaystyle \large{8 + 8= x- 8 + 8} \\ \displaystyle \large{16 = x}\)

And we're done! The value of x is 16.

Answer:

should be the last one 5-i8

Answer:

yes it is correct it is the last one

Step-by-step explanation:

Answer:the answer is 12x+12=7x+56 got it right on plato

Step-by-step explanation:

12 (x+1) = 7 (x+8)

12x+ 12 = 7x+ 56

The measure of each angle and side is given above.

Given is that the red triangle is a dilation of the blue triangle, with a scale factor of {k} = 1.5.

We can write -

57/RT = 1.5

RT = 57/1.5

RT = 38

LM/20 = 1.5

LM = 20 x 1.5

LM = 30

MN/26 = 1.5
MN = 26 x 1.5
MN = 39

∠2 = 15°

∠1 = 121°

Therefore, the measure of each angle and side is given above.

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