Solve for the missing variable given the rhombus (8x+58)

The properties of the quadratic equation y=-3x^2+6x+17 is Axis of symmetry - x=1, Vertex (maximum) - (1,20), Parabola opens downwards and the end behaviour is x→∞,y→-∞, x→-∞, y→-∞.

What is a quadratic equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax^2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

The quadratic equation in the general form can be written as -

y=-3x^2+6x+17

Here, a=-3

b=6

c=17

An imaginary straight line known as the axis of symmetry divides a shape into two identical sections, making one part the mirror image of the other.

Here, the axis of symmetry is x=1.

The vertex of the equation is at the maximum or the lowest point of the parabola.

So, after plotting the graph the maximum point is (1,20).

The leading coefficient of the equation is -3, which is less than zero.

So, the parabola formed by the quadratic equation opens downwards and forms a upside-down U shaped parabola.

According to the equation has an even degree and the graph of  the parabola is leading towards negative infinity.

Therefore, it can be denoted as x→∞,y→-∞, (right end down) and as x→-∞, y→-∞ (left end down).

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Answer:

y=-3x-10

Step-by-step explanation:

rise over run

slope is -9/3 and the y intercept is 10

The values of a, b, and c are -4,0 and 0 and the parabola opens downward with y-intercept (0,0).

we have

y=-4x^2

The quadratic equation in standard form is equal to

ax^2+bx+c=0

So,In this problem

a=-4, b=0 and c=0

The y-intercept is the value of y when the value of x is equal to zero

y=-4(0)^2=0

The y-intercept is the point (0,0)

The coefficient a is negative, therefore the parabola opens down.

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Answer:

A.9

28x2=56

56+85=141

150-141=9

Answer:

143/5

or

28 3/5

Step-by-step explanation:

ywwwwhshshd

Answer:

143/5, 28.6, or 28 3/5

[-5, 3) is the interval of all real numbers greater that or equal to -5 but less than 3

A number system is defined as a system of writing to express numbers.

We need to write all real numbers greater that or equal to -5 but less than 3

[-5, 3)

-5 is included in the interval because it is greater than or equal to.

But the 3 is not included in the interval because it is strictly less than

Hence, [-5, 3) is the interval of all real numbers greater that or equal to -5 but less than 3

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Answer:

False

Step-by-step explanation:

You calculate range by first putting all the numbers in order. Then subtract the lowest number from the highest.

What the question is thats how to calculate the median.

Have a wonderful day!

From the definition of the range, we understood that the given statement is false.

The given statement is "The range is calculated by adding the highest and lowest scores in a data set and then dividing by the number of scores in the dataset".

We need to state whether the given statement is true or false.

The range formula is mostly used in statistics to determine the range given in a particular data set. The formula helps in determining the centre of the set by finding the difference between the lowest and the highest number. In distribution, the large range means higher variability whereas the small range means low variability. The range formula includes the other aspects of statistics such as mean, median, and mode. Hence, the formula to calculate the range is:

R = Highest Value (H) - Lowest Value (L).

Therefore, from the definition of the range, we understood that the given statement is false.

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Answer:

the answer is b

Step-by-step explanation:

I did the test

Answer:

The y-intercept is (0,-6), but the way they want it written the answer is y intercept= -6

Step-by-step explanation:

Answer:

We generally know consecutive even integer numbers are 2 , 4 , 6, 8, 10 ............

So we can see there is difference of 2 in consecutive even integer.

So if we let first even integer as 2n.

So we will let three consecutive even integer as 2n , 2n+2 , 2n+4

Their sum is 54.

So we can write











So n = 8

The expression f(n) = 13 - 2n represents a arithmetic progression with {a} = 13 and {d} = - 2.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Given is the expression as follows -

13 - 2n

We can write the expression as a function of (n) as -

f(n) = 13 - 2n

for {n} = 1, we can write - f(1) = 13 - 2 = 11

for {n} = 2, we can write - f(1) = 13 - 4 = 9

for {n} = 3, we can write - f(1) = 13 - 6 = 7

In the similar way we can continue further. We get the sequence as -

13, 11, 9, 7, .....

This is a arithmetic progression with {a} = 13 and {d} = - 2.

Therefore, the expression f(n) = 13 - 2n represents a arithmetic progression with {a} = 13 and {d} = - 2.

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Answer:

24

Step-by-step explanation:

√64 ×∛27

√64=√8²=8

∛27 = √3³=3

8*3=24

Answer:

44

Step-by-step explanation:

4+8(5)

Multiply 8 by 5

4+40=44

Add 4 to the product (40) to get the final answer of 44

Remember PEMDAS

The solutions to the equation |m| = 8.5 are m = 8.5 and m = -8.5. Both values satisfy the equation as the distance from zero to each value is 8.5.

The equation |m| = 8.5 represents the absolute value of m being equal to 8.5. The absolute value of a number is its distance from zero on the number line.

To find the solutions, we consider two cases:

1. When m is positive or zero: If m is greater than or equal to zero, |m| is equal to m. Therefore, we have m = 8.5.

2. When m is negative: If m is negative, |m| is equal to the negation of m. In this case, we have -m = 8.5. Solving for m, we get m = -8.5.

Hence, the solutions to the equation |m| = 8.5 are m = 8.5 and m = -8.5. Both values satisfy the equation as the distance from zero to each value is 8.5.

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Answer:

there are 0 significant digits

Step-by-step explanation:

0.0005 has 1 significant digit which is 5

25.725 has 5 significant digits

Answer:

-12 is the answer.

Step-by-step explanation:

-12 - (-5) = -7

The two negative one right after another turns into a plus, or +.

-12 + 5 = -7

Think of 5 positive things and -12 negative things.

O O O O O

P  P  P  P  P  P  P  P  P  P  P  P

5 of the positive things will cancel out 5 of the negative things, leaving behind 7 negative things.

#teamtrees #WAP (Water And Plant)

This will give us the quotient, which will be the formula for the rational function.f(x) = \((x^2 + 2x - 3) / (x^2 + x - 2)f(x) = (x + 3)(x - 1) / (x + 2)(x - 1)f(x) = (x + 3) / (x + 2)\)Thus, the formula for the rational function graphed above is\(:f(x) = (x + 3) / (x + 2)\)

Use the following terms in your answer, "find a formula for the rational function graphed below. the function has a horizontal asymptote of y?"Rational function graphed belowThe horizontal asymptote of the function is y = 1, as shown by the dotted line. A rational function is a function that can be written as the ratio of two polynomial functions, where the denominator is not zero. A rational function can have horizontal, vertical, or oblique asymptotes, depending on the behavior of the function as x approaches infinity or negative infinity.In this case, the horizontal asymptote is at y = 1, which means that as x gets very large or very small, the function approaches this value. To find a formula for the rational function, we need to use the given information about the horizontal asymptote.The general form of a rational function is: f(x) = (ax^2 + bx + c) / (dx^2 + ex + f)To find a formula for the given function, we need to determine the coefficients of this general form. Since we know that the horizontal asymptote is y = 1, we can use long division or synthetic division to divide the denominator by the numerator.

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Answer:

after 4seconds

Step-by-step explanation:

Given the height, h , in feet, of the football above the ground after t seconds expressed by h ( t ) = − 8 t^2 + 32 t, the height of the ball on the ground is 0feet.

Substitute h(t) = 0 into the expression and calculate t;

h ( t ) = − 8 t^2 + 32 t

0 = − 8 t^2 + 32 t

8t² = 32t

8t = 32

Divide both sides by 8

8t/8 = 32/8

t = 4s

Hence the football hits the ground after 4seconds

A trigonometric ratios calculator is a tool that helps you find the sine, cosine, and tangent ratios in a right triangle. To use a trigonometric ratios calculator, you need to enter the lengths of the sides of the right triangle and the calculator will calculate the values of the sine, cosine, and tangent ratios for the angles in the triangle.

Here's how you can use a trigonometric ratios calculator to find the sine, cosine, and tangent ratios in a right triangle:

1. Enter the lengths of the sides of the right triangle into the calculator.

2. Select the angle for which you want to find the trigonometric ratios.

3. The calculator will display the values of the sine, cosine, and tangent ratios for the selected angle.

Note that the trigonometric ratios are defined only for right triangles, so it's important to make sure that the triangle you are working with is a right triangle before using a trigonometric ratios calculator.

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A trigonometric ratios calculator is a tool that helps you find the sine, cosine, and tangent ratios in a right triangle. To use a trigonometric ratios calculator, you need to enter the lengths of the sides of the right triangle and the calculator will calculate the values of the sine, cosine, and tangent ratios for the angles in the triangle.

Here's how you can use a trigonometric ratios calculator to find the sine, cosine, and tangent ratios in a right triangle:

1. Enter the lengths of the sides of the right triangle into the calculator.

2. Select the angle for which you want to find the trigonometric ratios.

3. The calculator will display the values of the sine, cosine, and tangent ratios for the selected angle.

Note that the trigonometric ratios are defined only for right triangles, so it's important to make sure that the triangle you are working with is a right triangle before using a trigonometric ratios calculator.

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Answer:

a

Step-by-step explanation:

(x³ + y³ +z³) - 3xyz = (x + y + z )(x² +y² +z² - xy -yz - zx)

If x +y + z = 0, then

(x³ + y³ +z³) - 3xyz = 0 *(x² +y² +z² - xy -yz - zx)

(x³ + y³ +z³) - 3xyz = 0

(x³ + y³ +z³)  =  3xyz

Answer:

option 3

Step-by-step explanation:

Answer:

x= 95/2  or  x=47.5  or   47 1/2

Step-by-step explanation:

3x + 10 = 5(x - 17)

First Step:

multiply and combine the right side (parentheses)

5 times x = 5x         5 times -17 = -85

3x + 10 = 5x -85

Second Step:

Add like terms ----> which is: 3x and 5x -----10 and -85

BUT since you only want one x on one side, you combine x first.

3x + 10 = 5x -85

-5x         -5x

-2x + 10 = -85

NOW

Third Step:     Add the integers---> 10 and -85

you want to get 10 on the same side as the -85, so you subtract it from BOTH sides.

which brings you:

-2x + 10 = -85

       -10    -10

NOW that we've subtracted -10 from -85 it's technically just adding 85 and 10 then putting a negative sign on it.

so now we have:

-2x = -95

Step Four:

divide -2 from each side to get X alone

-2x = -95

-2      -2

ANSWER:

x=47.5

The first four terms of the sequence are -49, -44, -39, and -34.

The expression -49 + 5n represents an arithmetic sequence with a first term of -49 and a common difference of 5. To find the first four terms, we can substitute the values of n from 0 to 3 in the expression and simplify:

-49 + 5(0) = -49

-49 + 5(1) = -44

-49 + 5(2) = -39

-49 + 5(3) = -34

An arithmetic sequence is a sequence of numbers where each term is obtained by adding a constant value (called the common difference) to the previous term.

In this case, the common difference is 5, so each term is obtained by adding 5 to the previous term. The first term is -49, so the second term is -49 + 5 = -44, the third term is -49 + 2(5) = -39, and the fourth term is -49 + 3(5) = -34.

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To find the length of an unknown side of a triangle, use the appropriate formula based on the given information.

To find the length of an unknown side of a triangle, you need to use the appropriate formula based on the information given in the problem. If the triangle is a right triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

If the triangle is not a right triangle, you can use trigonometric ratios such as sine, cosine, and tangent, which relate the ratios of the sides of a triangle to its angles. It's important to carefully read and understand the problem, identify the given information, and choose the appropriate formula to solve for the unknown side.

Remember to check your answer by plugging it back into the original formula and verifying that it satisfies the given conditions.

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Answer:

x=10

Step-by-step explanation:

If we subtract 2 from 52 we get 50 and ten mutiplys into 50.

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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Answer:

Steve gave his mother $75.

Step-by-step explanation:

Steve earned a total of $125.  Sixty percent of that went to his mother.  Convert 60% into the equivalent decimal fraction and multiply as indicated:

0.60($125) = $75

Steve gave his mother $75.

Answer:

Steve gave $75 to his mother.

Step-by-step explanation:

Steve earned a total of $125. Sixty percent of that went to his mother.  Convert 60% into a decimal and multiply:

0.60($125) = $75

Answer:

6. -4x+3   7. 2x+24   8. 4x+3

Step-by-step explanation:

The formula to find slope is y2-y1/x2-x1.  With y2 serving as any y value on the table that is not whatever you decide as your y1 value, same goes for the x values.

y2 and x2 should be from the same line in the table, same goes for x values.

Explaining #6: I used point (2,-5) and (1,-1).

y2=-5, y1=-1, x2=2, x1=1

Plug values into slop equation--> (-5-(-1)/(2-1)= -4

To find the y-intercept you would either take the formula y=mx+b and plug in a point from the table and slop you just found to find b. Or when x=0 on the table the y value is your b/y-intercept.

Hope this helped and you can understand!

Answer:

4.75/ 19/4

Step-by-step explanation:

a=1/4; b=6

12a+(b-a-4)=?

12(1/4)+(6-1/4-4)=?

3+1.75 or 7/4=?

=4.75 or 19/4

I'm not very sure but I tried lol