Note: Enter your answer and show all steps that you use to solve this problem. Jesse played two days of golf. On the second day, he got a score of 6 below par, or -6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.

Answer

51

Explanation

85/15=y/9

765=15y

51

Answer:

y = 51

Step-by-step explanation:

These triangles are similar, so you can set up a proportion to solve for y:

\(\frac{85}{15} =\frac{y}{9}\)

Cross multiply:

\(\frac{765}{15y}\)

Divide 765 by 15:

y = 51

Answer:

Step-by-step explanation:its a  69420 dum as

Thank you kind stranger!

Answer:

???

Step-by-step explanation:

The center of mass for the system (x, y) is \(\left(\frac{a m+b M}{m+M}, 0\right)\).

What is center of mass?

The unique location where the weighted relative position of the scattered mass adds to zero is known as the center of mass in physics. Here is where a force may be applied to produce a linear acceleration without also producing an angular acceleration.

The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses.

Centre of mass is

\(x=\frac{m a+M b}{m+M}\)

and y=0

\((x, y)=\left(\frac{a m+b M}{m+M}, 0\right)\)

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Step-by-step explanation:

To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:

9^2 + 3(9) - 5 = 81 + 27 - 5 = 103

Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.

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Answer:

The answer is A: $642.23

Step-by-step explanation:

I just took the test lol

The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)

From the question, we have the following parameters that can be used in our computation:

log₃(x²∛y²)

The product law of logarithms states that

log(ab) = log(a) + log(b)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  log₃(x²) + log₃(∛y²)

The power law of logarithms states that

log(aᵇ) =  blog(a)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  2log₃(x) + 2/3log₃(y)

This means that the values of A and B are A = 2 and B = 2/3

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Answer:

107

Step-by-step explanation:

f(x)=7x^(2)-5

f(4) means that x=4

f(4)=7*4^(2)-5

    = 7 * 16 -5

    = 112 -5

    = 107

Answer:   77 : 144   or  77/144

Step-by-step explanation:

First find the total number of people for each school.

Wood  Middle School : 136 + 172 = 308  

Parker Middle School: 312 + 264 = 576  

The ratio of students at Wood school to  students at Parker Middle School is  

308 : 576  = 77 : 144   or  77/144

Answer:   77 : 144   or  77/144

Step-by-step explanation:

First find the total number of people for each school.

Wood  Middle School : 136 + 172 = 308  

Parker Middle School: 312 + 264 = 576  

The ratio of students at Wood school to  students at Parker Middle School is  

308 : 576  = 77 : 144   or  77/144

Answer:

your right

Step-by-step explanation:

Given the formula

Set

Then, solving for t,

Therefore, the answer is 20.4 years, the third option.

Answer:

the answer is 5 and u know the rest

Answer:

5019

Step-by-step explanation:

79 * 4 + 3 = 319

319 * 4 + 3 = 1,279

1,279 * 4 + 3 = 5,019

Answer:

It's choice D.

The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

There are infinitely many numbers equivalent to 7/11

since 7/11 is a fraction that can be simplified in different ways.

We can multiply the numerator and denominator with the same number to get the equivalent fractions

7/11×2/2 = 14/22

7/11×3/3= 21/33

7/11×4/4 =28/44

7/11×5/5 =35/55

Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

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After using the deductive reasoning the procedure always produces the number 8.

Procedure:

Let the number be x.

We have to add 5 to the number x.

So the expression is x + 5.

We have to multiply the sum by 3.

Now the expression is 3(x + 5).

Now we have to subtract 7.

Now the expression is 3(x + 5) - 7.

Then we have to decrease this difference by the triple of the original number.

The triple of original number is 3x.

Now the expression is {3(x + 5) - 7} - 3x.

Now solving this expression

= {3(x + 5) - 7} - 3x.

First simplify the bracket

= 3x + 15 - 7 - 3x.

= 8

Now we can se that the after following the whole procedure the answer is 8.

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Answer:

5^4

Step-by-step explanation:

Add 18+6

Then add 10+10

Subtract 24-20

Then you get 5^4

Answer: 135,000²

Step-by-step explanation:

5×18=90×30=2,700×50=135,000²

Answer: x= -2/9

Step-by-step explanation:

-12x-2(x+9)=5(x+4)

= -12x-2x+18=5x+20

= -14x+18=5x+20

= -9x+18=20

= -9x=2

/-9    /-9

x= -2/9

Step-by-step explanation:

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Step-by-step explanation:

hope it's helpful for you

PLS MARK ABOVE GUY ANSWER AS BRAINLIEST

If the dog run along the park in the given way then the dog ran around distance of 132 yards.

Given that in rectangular park that is 44 yards by 33 yards, a dog began in the northwest corner and ran south along the length of the park, then the dog ran east along the width to the southeast corner and finally, the dog ran back to the northwest corner.

We are required to find the distance that dog covers after running.

Pythagoras theorem says that the square of hypotenuse is equal to the sum of the squares of base and hypotenuse.

In this figure we have to calculate the hypotenuse as under:

H=\(\sqrt{(44)^{2} +33)^{2} }\)

=\(\sqrt{3025}\)

=55 yards

Total distance =44+33+55

=132 yards.

Hence if the dog run along the park in the given way then the dog ran around distance of 132 yards.

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Answer:

(f o h)(-3) = -1

Step-by-step explanation:

(f o h)(x) = -2(-x - 3) - 1

(f o h)(x) = 2x + 6 - 1

(f o h)(x) = 2x + 5

(f o h)(-3) = 2(-3) + 5

(f o h)(-3) = -6 + 5

(f o h)(-3) = -1

First, make sure the mean value theorem applies for the given f . Its domain is x + 1 > 0, or x > -1, and it's continuous and differentiable on its domain, so all is well.

By the MVT, we have for some c in the open interval (1, 4),

f ' (c) = (f (4) - f (1)) / (4 - 1)

f (x) = 5 cos²(x/2) + ln(x + 1) - 3

→   f (4) = 5 cos²(2) + ln(5) - 3

→   f (1) = 5 cos²(1/2) + ln(2) - 3

→   f ' (c) = (5 cos²(2) + ln(5) - 3 - 5 cos²(1/2) - ln(2) + 3) / 3

-5 cos(c/2) sin(c/2) + 1/(c + 1) = (5 (cos²(2) - cos²(1/2)) + ln(5/2)) / 3

-15 sin(c) + 6/(c + 1) = 10 (cos(4) - cos(1)) + 2 ln(5/2)

You'll need the help of a calculator to solve this. Over the interval 1 < c < 4, there are two solutions c ≈ 1.0525 and c ≈ 2.217.

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Based on the given information, the expression 4 x 10ˣ has x zeros.

An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. Algebraic expressions are used to represent quantities or values that can vary, depending on the values assigned to the variables in the expression. Algebraic expressions can be simple or complex, and they can have one or more variables.

The simplified expression 4 x 10ˣ can be written as 4 times 1 followed by x zeros, which is equivalent to 4 times 10ˣ

Therefore, the expression 4 x 10ˣ has x zeros.

So the answer is option A) x.

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Answer:

8 liters

4x2=8

Step-by-step explanation:

Check the picture below.

\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)

Make sure your calculator is in Degree mode.

A graph is a way to represent a lot of data in such a visual format. The correct option is C.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The statement that is most accurate about the graph is that the point C is a maximum of the graph. Therefore, the correct option is C.

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Answer:

Step-by-step explanation:

First, we will find the midpoint for the x - coordinate first.

Midpoint (x) = \(\frac{-1+(-6)}{2} \\=\frac{-1-6}{2} \\=\frac{-7}{2} \\=-3.5\)

Now we will find the midpoint for the y - coordinate.

Midpoint (y) = \(\frac{-6+5}{2} \\=\frac{-1}{2} \\=-0.5\)

Therefore from these 2 values we know that the midpoint of this 2 points is (-3.5,-0.5)