If PQRS is a rhombus, find m

Answer: x-intercepts (5,0), (2,0), (1,0)

y-intercept (0,-10)

Step-by-step explanation: If one factor of the polynomial function is (x-5), then the function f(x) can be factored in the following way: (x-5) (x^2-3x+2)

Now factor the trinomial: (x-2) (x-1)

Thus, x-intercepts (points where f(x)=0) are

x1=5

x2=2

x3=1

and y-intercept (point where x=0) is

f(0)=0^3-8.0^2+17.0-10=-10.

plz mark me brainliest

A function assigns the values. The y-intercept of the function is -10, while the x-intercept of the function is 5, 2, and 1.

A function assigns the value of each element of one set to the other specific element of another set.

To find an intercept of the function, we need to substitute the value of x or y depending on the intercept as 0 in the function. Therefore, the x-intercept of the function is,

y = (0)³ - 8(0)² + 17(0) - 10

y = -10

Since given that one factor of the function f(x)=x³-8x²+17x-10 is (x-5). Therefore, if the function f(x) is divided by (x-5). The quotient will be x²-3x+2.

Now, Factorising the given expression x²-3x+2.

x²-3x+2

= x² - 2x - x + 2

= x(x-2) -1(x-2)

= (x-2)(x-1)

Now, we can write the function f(x)=x³-8x²+17x-10 as y=(x-5)(x-2)(x-1). Therefore, the x-intercept of the function is,

x-intercept = 5, 2, 1

This can be verified from the graph formed below.

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Answer:

30

Step-by-step explanation:

f(-5) = -7(-5) - 5

= 35 - 5 = 30

Step-by-step explanation:

there are 48 total crayons

Answer:

Jacob had more home runs relative to his usual season average than Hugo did.

Step-by-step explanation:

The key solving this is to express their respective home runs in z-value forms.

Z = (x - ų)/óx

X = Current home runs

Ų = Mean

= Meanóx = Standard deviation

For Hugo,

X = Current home run = 31

Ų = Mean = 27

Óx = Stardard deviation = 1.6

Z = (x - ų)/óx

Z = (31 - 27)/1.6 = 2.5

Hope this helped!!!

The person who had more home runs relative to their usual seasonal average was Jacob.

Representing their home runs in z-value forms.

Where

= Meanóx = Standard deviation

To find the home run for Hugo,

Therefore,

Z = (x - ų)/óx

Z = (31 - 27)/1.6

= 2.5

Hence, Jacob had the most home runs relative to their usual seasonal average.

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Answer:

m<P=130°

m<Q=130°

m<R=50°

Step-by-step explanation:

m<P=130

m<Q=130

m<R=50

Answer:

20

Step-by-step explanation:

Hello There!

So first we need to determine what the formula for area of a trapezoid is

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

the given information is the area and the two bases

so we plug in the given information and solve for h

[tex]180=\frac{4+14}{2} h\\4+14=18\\\frac{18}{2} =9\\180=9h[/tex]

divide each side by 9

[tex]\frac{180}{9} =20\\\frac{9h}{9} =h[/tex]

we're left with

h=20

so we can conclude that the height is 20

Answer:a

Step-by-step explanation:

Answer:

[tex]y = 3(2)^x[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the exponential function

An exponential function is represented as:

[tex]y = ab^x[/tex]

From the table;

[tex](x,y)=(0,3)[/tex]

So:

[tex]y = ab^x[/tex]

[tex]3 = a * b^0[/tex]

[tex]3 = a * 1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Also:

[tex](x,y) = (1,6)[/tex]

So:

[tex]y = ab^x[/tex]

[tex]6 = a * b^1[/tex]

[tex]6 = a * b[/tex]

Substitute [tex]a = 3[/tex]

[tex]6 = 3 * b[/tex]

Solve for b

[tex]b = 2[/tex]

So:

[tex]y = ab^x[/tex]

[tex]y = 3(2)^x[/tex]

The exponential function represented by the values is f(x) = 3(2)ˣ

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

From the table, at point (0, 3):

3 = ab°  

a = 3

At point (2, 12):

12 = ab²

12 = 3b²

b² = 4

b = 2

f(x) = 3(2)ˣ

The exponential function represented by the values is f(x) = 3(2)ˣ

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Answer:

135

Step-by-step explanation:

135+45=180

The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]

Lets suppose here that:

Suppose A' and B' are their complementary events, then we have:

Then, by the given data, we have:

[tex]P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32[/tex]

We've to find [tex]P(A' | B')[/tex]

Using chain rule, we have:

[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}[/tex]

Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:

[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821[/tex]

Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821

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5%

what % times 20% is 100%

5%

Answer:

60ºF

Step-by-step explanation:

80ºF - 20ºF = 60ºF

Answer:

not sure if this is the question but it would be 60 degrees Fahrenheit

Answer:

×= 2 this is what I got as a result to my equations

Answer:

136

Step-by-step explanation:

Surface area is area of everything added together.

Area of triangle is 4 * 6 over 2 = 12

Area of side rectangle is 5 * 7 = 35

Area of base rectangle is 6 * 7 = 42

42 + 35 + 35 + 12 + 12

Final Answer: 136 sq m

Answer:

if u look closely at the doted line it shows the height and the number on the inside right beside it is the height witch the answer would be C

Answer:

11.2 cm

Step-by-step explanation:

The missing side = the hypotenuse

Apply pythagorean theorem to find he hypotenuse which is given as:

c² = a² + b³

a = 10 cm

b = 5 cm

c = Hypotenuse (missing side)

(Hypotenuse)² = 10² + 5² = 125

Hypotenuse = √125

Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)

The correct form of the geometric sequence is:[tex]5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...[/tex]

To identify the correct form of the geometric sequence 5, 35, 245, 1,715, ..., we can look for a common ratio between consecutive terms.

To find the common ratio, we divide any term by its preceding term. Let's take the second and first terms:

35 / 5 = 7

Now, let's check the third and second terms:

245 / 35 = 7

Similarly, for the fourth and third terms:

1,715 / 245 = 7

Since we obtained the same result (7) for all ratios, we can conclude that the common ratio of this geometric sequence is 7.

Now, let's express the general form of the sequence using the first term (a) and the common ratio (r):

a, ar, [tex]ar^2,[/tex] [tex]ar^3,[/tex] ...

Substituting the given values:

a = 5 (the first term)

r = 7 (the common ratio)

The correct form of the geometric sequence is:

[tex]5, 5 * 7, 5 * 7^2, 5 * 7^3[/tex], ...

Simplifying the terms, we get:

5, 35, 245, 1,715, ...

Therefore, the correct form of the geometric sequence is:

5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...

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Answer:

Step-by-step explanation:

a) (3,5)

b) 3 units

c) 10 units

Hope that helps!

Answer:

d I believe

Step-by-step explanation:

so they take away certain blocks and they never replaced the 2 lines

Answer:

I think it's C, it looks really tricky.

Step-by-step explanation:

Answer:

139

Step-by-step explanation:

supplementary angles add up to equal 180

so to find the measure of angle ABC we subtract the given angle from 180

180-41=139

so we can conclude that angle ABC=  139

Step-by-step explanation:

< ABC and < CBD are supplementary angles.

< CBD = 41°

< ABC + < CBD = 180° ( Being supplementary angles)

< ABC + 41° = 180°

< ABC = 180° - 41°

< ABC = 139°

Hope it will help :)❤

Hey there!

The answer is 4 meters, or 4 m.

The formula for volume is lwh, or Length * Width * Height, so we can set up an equation plugging in the values we know:

lwh = V

l(2)(10) = 80

Simplify:

20l = 80

Divide both sides by 20:

l = 4

Have a terrificly amazing day! :)

Answer:

Step-by-step explanation:

I hope this helped

Answer: 32%

Step-by-step explanation:

8/25

The probability that a customer ordered a small given that he or she ordered a cold drink is 32%

The probability is represented as:

P(Small | Cold)

This is calculated using:

P(Small | Cold) = n(Small and Cold)/n(Cold)

Using the data on the given table, we have:

P(Small | Cold) = 8/(8 + 12 + 5)

Evaluate

P(Small | Cold) = 0.32

Express as percentage

P(Small | Cold) = 32%

Hence, the probability that a customer ordered a small given that he or she ordered a cold drink is 32%

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Answer:

its the 113 inches cubed

Answer:

113.04 in3

Step-by-step explanation:

Answer:

The video is blocked but you can type your question on here1

Step-by-step explanation:

Answer:

P(X > 4) = 0.8059

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In this question, we have that:

[tex]n = 8, p = 0.7[/tex]

We want:

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{8,5}.(0.7)^{5}.(0.3)^{3} = 0.2541[/tex]

[tex]P(X = 6) = C_{8,6}.(0.7)^{6}.(0.3)^{2} = 0.2965[/tex]

[tex]P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977[/tex]

[tex]P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576[/tex]

Then

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2541 + 0.2965 + 0.1977 + 0.0576 = 0.8059[/tex]

So

P(X > 4) = 0.8059

There are 56 people in each section

The given parameters are:

Total = 896

Sections = 16

The number of people per section is

People = Total/Sections

This gives

People = 896/16

Evaluate

People = 56

Hence, there are 56 people in each section

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Answer:

48 meals

Step-by-step explanation:

36lbs ÷ 3/4lbs = 48