What should the follow equations is equivalent to 6.87p+9.2=-7.056

Answer:

68 pounds.

Step-by-step explanation:

Find the total weight when there are 10 boys and when there are 9 boys then calculate the difference.

I'll let x = total weight.

[tex]\frac{x}{10}=77\\(10)\frac{x}{10}=77(10)\\x=770\\\\ \frac{x}{9}=78\\(9)\frac{x}{9}=78(9)\\x=702\\\\ 770-702=68[/tex]

Therefore, the youngest boy weighs 68 pounds.

(h ,k) —> (2 , –5)

g(x)=3x²-12x+7 —> y= 3(x-2)²-5

y=a(x–h)²+k —> a= 3 , h=2 , k= –5

(h ,k ) —> (2, –5)

I hope I helped you^_^

Answer:

C, Option 2, or (2,-5)

Step-by-step explanation:

edge 2021

0

(24a - 18b) = 24a - 18b

24a - 18b = 24a - 18b

collect like terms

24a - 24a = -18b + 18b

0 = 0

Answer:

C. Yes; the graph passes the vertical line test.

Step-by-step explanation:

Reasons the others are wrong:

A. It does pass the vertical line test.

B. Y-values can have any x values. It is x-values that can't have multiple y-values.

D. There are y-values with more than one x-value on this graph so that's just false. Even if it were true, that still doesn't invalidate it due to the reasons given in Answer B.

Answer:

33

Step-by-step explanation:

HJ = HI + IJ

HJ = 3x - 9, HI = x and IJ = x + 5

So 3x - 9 = x + x + 5

Solve for x

Combine like terms

3x - 9 = 2x + 5

Add 9 to both sides

3x = 2x + 14

Subtract 2x from both sides

x = 14

Find HJ

HJ = 3x - 9

We have found that x = 14

HJ = 3(14) - 9

Multiply 3 and 14

HJ = 42 - 9

Subtract

HJ = 33

Answer:

a) .287

b) .293

Step-by-step explanation:

The answers are boxed in red in the picture.

First I found how many people only golfed. Then I did the same for the people that only bowled. Next I found how many members didn't golf or bowl.

From there I found the probabilities by dividing

a.) # of members that only golf / total # of members

b.) # of members that don't bowl or golf / total # of members

Answer:

x=17

Step-by-step explanation:

These are alternate interior angles and alternate interior angles are equal when the lines are parallel

9x+23= 10x+6

Subtract 9x from each side

9x+23 -9x= 10x-9x+6

23 = x+6

Subtract 6 from each side

23-6 = x+6-6

17 =x

Answer:

74 degrees

.................

Answer:

74

Step-by-step explanation:

BEC and CED form a straight line so they add to 180

BEC+CED = 180

106+ CED = 180

CED = 180-106

CED = 74

Answer:

Correct answer is A. Trust me

Step-by-step explanation:

Answer:

Yes and the equation is 2y=-x-7

Step-by-step explanation:

Yes the relation is linear, the slope of the equation will be - 3/6=-1/2, the equation of line will be y=(-1/2)x-3.5. 2y=-x-7

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Explanation:

This figure is a kite since we have two pairs of adjacent sides that are congruent, but not all sides are the same length.

One property of kites is that the diagonals are always perpendicular (this applies to rhombuses as well). This means angle 3 is 90 degrees.

The measure of ∠3 is 90°

Because in a kite the diagonals bisects at 90°

Therefore ∠3 is 90°

Answered by Gauthmath must click thanks and mark brainliest

Answer:

the required answer is 4√2+1/2√2

Using the factor theorem, it is found that the polynomial is:

[tex]f(x) = x^3 - 2x^2 - 3x + 6[/tex]

Given by the first option

---------------------------

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] using the factor theorem it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

---------------------------

In this question:

Thus:

[tex]f(x) = (x - 2)(x - \sqrt{3})(x + \sqrt{3})[/tex]

[tex]f(x) = (x - 2)(x^2 - 3)[/tex]

[tex]f(x) = x^3 -2x^2 - 3x + 6[/tex]

Which is the polynomial.

A similar problem is given that: https://brainly.com/question/4786502

Answer:

12, 10, 0, -1, -5, -13

Step-by-step explanation:

Answer:

A. 18

Step-by-step explanation:

the equation :

RF×RS = PR×RQ

16×9 = PR × 8

144 = PR×8

PR = 144/8

PR = 18

If the length of FR is 16 units then the length of PR is 18 units which is option A.

Circle is a figure whcih is having an arc showing points which are at equidistant from the centre point. The distance of arc from the centre point is known as radius.

From the rule of tangents and point outside the circle we can say that,

RF×RS = PR×RQ

16×9 = PR × 8

144 = PR×8

PR = 144/8

PR = 18 units

Hence if the length of FR is 16 units then the length of PR is 10 units.

Learn more about circle at https://brainly.com/question/24375372

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Answer:

A. Correct: When we plug in g(x) for the x in f(x), we get H(x).

B. Correct: When we plug in g(x) for the x in f(x), we get H(x).

C. Correct: When we plug in g(x) for the x in f(x), we get H(x).

D. Correct: When we plug in g(x) for the x in f(x), we get H(x).

Step-by-step explanation:

Brainliest, please!

Answer:

Y =1.2X +-1.6

Step-by-step explanation:

x1 y1  x2 y2

3 2  -2 -4

(Y2-Y1) (-4)-(2)=   -6  ΔY -6

(X2-X1) (-2)-(3)=    -5  ΔX -5

slope= 1  1/5    

B= -1  3/5    

Y =1.2X +-1.6    

The range is the same for both functions: {y | y is a real number}.

Given the parent function expressed as  f(x) = |x|. If the function is translated 6 units to the right and 2 units up to form a new function, the resulting function will be;

g(x) = |x + 6| + 2

The range is the value of the dependent variable for which it exist. For the given function, the range will exist on all real numbers.

Learn more on range of a function here: https://brainly.com/question/1466393

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Answer:

L=110

d=110

b=70

a=70

c=110

Answer: T = -1

Step-by-step explanation:

**Disclaimer** I assume that the [T] is a variable. If it was, then you may refer to my answer. If it was not, then you may point it out and I'll redo it.

Given

3T - 2 + T - 5T = -1

Combine like terms

-T - 2 = -1

Add 2 on both sides

-T - 2 + 2 = -1 + 2

-T = 1

Divide -1 on both sides

-T / (-1) = 1 / (-1)

T = -1

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4 cm

Step-by-step explanation:

Given 2 similar figures with sides in ratio a : b , then

ratio of areas = a² : b²

let n be the length of the smaller one , then

ratio of sides = n : 10

ratio of areas = n² : 10² = n² : 100

Using proportion

( [tex]\frac{ratio}{area}[/tex] )

[tex]\frac{n^2}{24}[/tex] = [tex]\frac{100}{150}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3n² = 48 ( divide both sides by 3 )

n² = 16 ( take the square root of both sides )

n = [tex]\sqrt{16}[/tex] = 4

length of the smaller one is 4 cm

The probability that neither of them draws the Leeks card is P = 4/6 = 0.667

Here we can assume that all the cards have the same probability of being randomly drawn.

The cards are:

So we have 6 cards. We want to find the probability that neither contestant draws the "Leeks" card.

Sammy draws first, the probability of drawing the Leeks card will be equal to the quotient between the number of Leeks cards (one) and the total number of cards (6).

Then the probability of drawing the leeks card is p = 1/6

This means that the probability of NOT drawing the leeks card is:

q = 1 - 1/6 = 5/6.

Now draws Hanna, now there are 5 cards in the deck (because one was already drawn). With the same approach as before, the probability of drawing the Leeks card is p = 1/5, then the probability of NOT drawing the card is:

q = 1 - 1/5 = 4/5.

The joint probability (this is, the probability of both of these events to happen together) is just the product of the individual probabilities.

Then the probability that neither of them draws the Leeks card is:

P = (4/5)*(5/6) = 4/6 = 0.667

If you want to learn more about probability, you can read:

https://brainly.com/question/24349426

Answer:

Step-by-step explanation:

diameter of the circle=smallest of the length and width=21 cm

r=21/2

area of the circle=πr²=22/7 ×(21/2)²=(21×441)/(7×4)=1323/4=330.75 cm²

Answer:

D. Exponential growth

Step-by-step explanation:

Hope this helps

Function that is similar to exponential.

Option (A) is correct.

Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula  [tex]y=a(1-b)^{x}[/tex] wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.

We can observe that

First, y increases as x increases

Last it is a function that is similar to exponential.

Function is an exponential decay.

Option (A) is correct.

Find out more information about exponential decay here

https://brainly.com/question/14355665

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Answer:

Bro what to do in this question. Hope you understand me

Answer:

x^2 -10x+2

Step-by-step explanation:

(3x^2 - 11x - 4) – (x – 2) (2x + 3)

FOIL

(3x^2 - 11x - 4) – (2x^2-4x+3x-6)

Combine like terms

(3x^2 - 11x - 4) – (2x^2 -x-6)

Distribute the minus sign

3x^2 - 11x - 4 – 2x^2 +x+6

Combine like terms

x^2 -10x+2