5x²-7x+4 FACTORISATION??​

Answer:

Step-by-step explanation:

31

Step-by-step explanation:

if I understand you correctly, then we have the 4 described cards. 3 of these 4 cards are face cards (Jack, Queen, King).

a probability is always desired cases over totally possible cases.

so, for the first pull we have a probability of

3/4 = 0.75

we have 4 total possibilities, and 3 of them are the desired outcome.

for the second pull we have then only 3 cards left (we did not replace the first pulled card). and because the first pulled card was in this scenario a face card, 2 out of these 3 cards are face cards.

so, the probability to pull a face card here is

2/3 = 0.66666...

when we combine these 2 events into one connected event (we are creating event 1 AND event 2), we multiply the probabilities, giving us

3/4 × 2/3 = 6/12 = 1/2 = 0.5

Answer:

A. 5/4n - 3/8

Step-by-step explanation:

-5n/2 + 1/4 + 15/4n - 5/8

15/4n - 10/4n + 2/8 - 5/8

5/4n - 3/8

Answer:

x = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5x-2}[/tex] = [tex]\frac{3}{6x+1}[/tex] ( cross- multiply )

3(5x - 2) = (2(6x + 1) ← distribute parenthesis on both sides )

15x - 6 = 12x + 2 ( subtract 12x from both sides )

3x - 6 = 2 ( add 6 to both sides )

3x = 8 ( divide both sides by 3 )

x = [tex]\frac{8}{3}[/tex]

Answer:

x = 10/9

Step-by-step explanation:

Solve:

27^(3x-2) = 81

When solving equations in exponential form make sure the two bases on both sides are the same.

3^3(3x-2) = 3^4

Once the two bases are the same you cancel them out and used its exponent to solve the equation.

3(3x-2) = 4

9x-6 = 4

Add 6 to both sides.

9x-6+6 = 4+6

9x = 10

Divide both sides by 9.

x = 10/9

Therefore x = 10/9.

The amount Trey invested in Fund B is $8,000.

Profit is a residual income, It is the gain amount from any kind of business activity. In short, if the selling price (SP) of the product is more than the cost price (CP) of a product, then it is considered as a gain or profit. while return is a total revenue. Profits may be negative, whereas returns, such as wages and interest are always positive.

amount invested in Fund A = $12,000            (given)

profit returned by Fund A =  1% of $12,000    (given)

= 1/100*$12,000

= $120

Let amount invested in Fund B = x                   (assumption)

profit returned by Fund B =  6% of x                 (given)

= 6/100*x

= $ 6x/100

Given that both funds A and B together returned a 3% profit, So the equation we get is

120+6x/100 = 3% of (12,000+x)

(12,000+6x)/100 = 3/100* (12,000+x)

12,000+6x = 3(12,000+x)

12,000+6x = 36,000+3x

6x-3x = 36,000-12,000                       (bringing like terms on same side)

3x = 24,000

x = 24,000/3

x = $8,000

Therefore, we can conclude that the amount Trey invested in Fund B is $8,000  

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Answer: 148.50

Step-by-step explanation:

15*5=75

75*$1.98=$148.50

Answer:

33 g

Step-by-step explanation:

the weight of the donut is a distractor number. if each donut has 11,000 mg of sugar, then 11,000 x 3 = 33,000 mg. In order to convert mg into g, we move the decimal over to the left 3 times.

33000. (0 times)

3300.0 (1 time)

330.00 (2 times)

33.000 (3 times)

Answer:

[tex]8^{15[/tex]

Step-by-step explanation:

Hello!

Use exponent rule: [tex]a^b * a^c = a^{b + c}[/tex]

Use the rule to simplify the exponential expression.

The simplified form is [tex]8^{15[/tex].

a = amount invested at 2%

how much is 2% of "a"? (2/100) * "a", namely 0.02a.

b = amount invested at 7%

how much is 7% of "b"? (7/100) * "b", namely 0.07b.

We know that fund A is less than fund B by 8000, that is a = b - 8000.

we also know that the yielded amount in interest is $1730, so if we simply add their interest, that'd be 0.02a + 0.07b = 1730.

[tex]\boxed{a = b - 8000} \\\\\\ 0.02a~~ + ~~0.07b~~ = ~~1730\implies 0.02(\stackrel{a}{b-8000})~~ + ~~0.07b~~ = ~~1730 \\\\\\ 0.02b-160+0.07b=1730\implies 0.02b+0.07b=1890\implies 0.09b=1890 \\\\\\ b=\cfrac{1890}{0.09}\implies \blacksquare~~ b=21000 ~~\blacksquare[/tex]

Answer:

5

Step-by-step explanation:

that is hte anwers

Answer:

Sub in the numbers given to x, y, z and use calculator to solve

Answer:

[tex]y = 35x - 3[/tex]

Step-by-step explanation:

Based on the given conditions

[tex]m = 35[/tex]

Substitute and calculate

Substitute:

[tex]m = 35 \\ x = 0 \\ y = - 3[/tex]

Into:

[tex]y = mx + b[/tex]

Therefore, the equation of the line is:

[tex]y = 35x - 3[/tex]

Answer: C

Step-by-step explanation:

Options A, B and D are all unbiased since there is nothing in the question taht could nudge you into a specific thought, but in option C, they specifically call it beautiful to put it in your mind and you will be more likely to call the dress beautiful compared to anything else.

Answer:

it is 3(x+2)

Answer:

3(x+2)

Step-by-step explanation:

You first find the common factor.

3x+6

3(x+2) solution.

The unusual outcomes for the binomial distribution are given as follows:

0 or 1 employee making judgements.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In the binomial distribution, a measure is considered unusual if it is more than 2.5 standard deviations from the mean.

For this problem, the parameters are given as follows:

n = 8, p = 0.61.

Hence the mean and the standard deviation are given by:

The bounds of usual outcomes are:

Hence outcomes of less than 1 employee making judgements would be unusual.

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The ounces of herbs costing $1 per ounce that should be mixed with these 50 oz of herbs to produce a mixture costing $2.50 per ounce?

is 50 ounces.

Let x = the amount of herb that costs $1 per ounce.

Based on the information,the total weight will be:

x + 50 = y.

At $2.50, the cost of the mixture will be:

1x + 4(50) = 2.50y

x + 200 = 2.50y

x + 200 = 2.50(x + 50)

x + 200 = 2.50x + 125

Collect like terms

2.5x - x = 200 - 125

1.5x = 75

Divide

x = 75/1.5

x = 5.

Therefore, the correct option is 50

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Definition: n math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given,

Points scored per game by 35 NBA players during the 2017 basketball season.

Context: Points scored per game by 35 NBA players

Shape: dotted, no gaps

Outliers: none

Center: 14(Median)

Spread: Data varies from somewhere between (12-14) to somewhere between (24-26)

context is about the graph

shape is about the representation

outliers is whether any point is farther

center is the median

spread is till where the graph is extended with gaps in between

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Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Without the estimate, the number of gallons used is:

1211/29 = 41.76 gallons.

Hence the cost is:

41.76 x 3.10 = $129.46.

With the estimate, the number of gallons used is:

1200/30 = 40 gallons.

Hence the cost is:

40 x 3 = $120.

For the estimation, the mileage was rounded up while the cost was rounded down, hence the estimated cost is less than the actual cost.

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Answer:240

Step-by-step explanation:

400/5 = 80
80 x 3 = 240
240/400 people bought choc chip

The time taken to ascend from the initial height to the final height; Time taken = 5 minutes

We are given;

Initial Height = 6000 ft

Final height = 6600 ft/min

Speed = 6600 ft/min

Now, the time taken to ascend from the initial height to the final height;

Time taken = (39000 - 6000)/6600

Time taken = 5 minutes

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k = -3 is the value in straight line.

What is  straight line?

Simply put, a straight line is a line devoid of bends. A straight line is one that does not curve and reaches to infinity on both sides.

Different  type

On putting the values of the point in the equation of line, the value of X = 2 and Y = -8

When a line passes through a point, the point satisfies the equation of the line.

The line   y = kx + 4 goes through the point (2, -2)

So, ( 2 , -2 )  must satisfy the equation of the line.

Put  x = 2 y= - 2 in equation y = kx + 4

-2 = k * 2 + 4

- 2 = 2k + 4

-2 -4 = 2k

-6 =2k

k = -6/2

k = -3

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Answer:

66%

Step-by-step explanation:

Answer:

66 % 

Step-by-step explanation:

It is 66 % because to convert you have to follow these steps

Step 1: Identify the ratio.

Step 2: Express the ratio a:b in the form of a fraction a/b.

Step 3: Multiply the fraction by 100.

Step 4: Simplify and write the answer with the percent symbol (%).

Answer:

5 is the answer to that question

Answer:

D. √45

Step-by-step explanation:

(4, -1) (7, 5)

(x₁, y₁)  (x₂, y₂)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(7 - 4)² + (5 - (-1))²

d = √(3)² + (6)²

d = √9 + 36

d = √45

I hope this helps!

The area of the rectangular backyard is 804.37

The area of a rectangle can be calculated by multiplying the length and the width

Area= length × width

Length= 35.75 feet

Width= 22.5 feet

Area= 35.75 × 22.5

= 804.37

Hence the area of the rectangular backyard is 804.37

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It should be noted that the correct matching of the expressions illustrated will be:

a. (2^3)(2^2) = 32

b. 2^(-2) x 2^(-3) = 1/32

C. (2^3) x (2^-3) = 1

d. (2^2)^3 = 64

e. 2^2/2^3 = 1/2

f. 2^3/2^2 = 2

It should be noted that (2^3)(2^2) will be:

= 2³ × 2²

= 8 × 4

= 32

b. 2^(-2) x 2^(-3) will be illustrated as:

= 1/4 × 1/8

= 1/32

C. (2^3) x (2^-3)

= 8 × 1/8

= 1

d. (2^2)^3

= 4³

= 64

e. 2^2/2^3

= 4 / 8

= 1/2

f. 2^3/2^2

= 2³ / 2²

= 8 / 4

= 2

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Answer:

-3 will be on the -x axis n the -6 will be on the -y axis so both will meet at a point.

Step-by-step explanation:

that is all I understand am not sure if I am ryt

Answer:

7000 panels.

Step-by-step explanation:

Let x be the number of panels produced by Plant B.

Therefore:

Given information:

Create an equation with the given information and defined variables, remembering to write the percentages in their decimal form:

[tex]\implies 0.03(4x) + 0.02x = 980[/tex]

To find the number of panels Plant B produced, solve the found equation for x:

[tex]\implies 0.03(4x) + 0.02x = 980[/tex]

[tex]\implies 0.12x + 0.02x = 980[/tex]

[tex]\implies 0.14x = 980[/tex]

[tex]\implies \dfrac{0.14x}{0.14} = \dfrac{980}{0.14}[/tex]

[tex]\implies x=7000[/tex]

Therefore, Plant B produced 7000 panels.

The coordinates of B is (-5, 6).

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space

What is section formula ?

The section formula helps in determining the coordinates of a point which facilitates division of the line joining two points in a ratio. This takes place either internally or externally.

P (x, y)= (c*m + a*n)/(m + n) , (d*m + b*n)/(m + n ).

Given:

let the coordinates of B (x, y)

M is midpoint M(-6,4) and coordinates of A are (-7, 2)

Using section formula

-6 = (x -7)/2

-12 = x -7

x = -5

and, 4 = y+2/2

8 = y+2

y = 6

Hence, the coordinates of B is (-5, 6)

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The complete proof are;

Suppose m ∠WOX ≠ 90°. By the definition of linear pair of straight line ∠ WOX is supplementary to ∠WOZ.

Therefore,  m ∠WOX + m ∠WOZ = 180°.

By the assumption and the substitution property of equality.

90° + m ∠WOZ = 180°.

Using the subtraction property of equality, the measure of angle WOZ is equal to 90°, which contradicts the given.

Therefore, the assumption is not true and m ∠WOX = 90°.

What are Supplementary angles?

The two angles are called supplementary angles when sum of both angles are 180 degree.

Given that;

m ∠WOZ = 90°

Now, The proof of m ∠WOX = 90° is given as;

Suppose m ∠WOX ≠ 90°.

By the definition of linear pair of straight line ∠ WOX is supplementary to ∠WOZ.

Therefore,  

⇒ m ∠WOX + m ∠WOZ = 180°.

By the assumption and the substitution property of equality.

⇒ 90° + m ∠WOZ = 180°.

Using the subtraction property of equality, the measure of angle WOZ is equal to 90°, which contradicts the given assumption.

Therefore, The assumption is not true and m ∠WOX = 90°.

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