What two numbers multiply to equal 20 but when added equal 12

Answer:

2 x^3 + 7 x^2 + 12 x - 8

Step-by-step explanation:

To find the product you just had to simplify the expression.

Answer:Answer:

2 x^3 + 7 x^2 + 12 x - 8

Step-by-step explanation:

To find the product you just had to simplify the expression.

Answer:

x= 8

Step-by-step explanation:

Vertical lines have undefined slopes, with an equation of x= ____. This is because when using the slope formula, the denominator would be a zero. The coordinates of points that lie on a vertical line have the same y-coordinate, but different x-coordinate value.

Given that the line passes through (8, 6), the line has an equation of x= 8.

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Answer:

The price per cup is $0.19

Step-by-step explanation:

In a quart there are 4 cups.

1.52÷4=0.38

But because there are 2 quarts you have to divide it by 2.

Which is 0.19

Thats the answer

Pls give Brainliest

Im desperate...

Answer: 3/2

Step-by-step explanation:

Slope is the coefficient in front of x, slope tells you how you move when plotting on a graph.

Answer:

We have the function g(x) = x^3 -15*x

First, to find extrema, we can find the zeros of the first derivative.

g'(x) = 3*x^2 -15

g'(x) = 0 = 3*x^2 - 15

x^2 = 15/3 = 5

x = √5

x = -√5

Now, watching at the second derivative we have:

g''(x) = 6*x

so when we have

g''(√5) = 6*√5 > 0 then x = √5 is a local minimum

g''(-√5) = -6*√5 < 0, then x = -√5 is a local maximum.

The equation f(x) = k * (x + 2) / [(x - 5) * (x - 1)] could represent the given rational function with an x-intercept at (-2, 0) and vertical asymptotes at x = 5 and x = 1.

To write an equation that represents the given rational function with an x-intercept at (-2, 0) and vertical asymptotes at x = 5 and x = 1, we can start by considering the factors in the numerator and denominator of the function.

Since the function has an x-intercept at (-2, 0), it means that the numerator of the function has a factor of (x + 2).

Since the function has vertical asymptotes at x = 5 and x = 1, it means that the denominator of the function has factors of (x - 5) and (x - 1).

Putting these factors together, the equation that could represent this function is:

f(x) = k * (x + 2) / [(x - 5) * (x - 1)]

Here, k represents a constant multiplier that scales the function, and it can be any non-zero constant value.

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Answer:

Step-by-step explanation:

join PB .At B draw ⊥PB.

it is the reqd . tangent at B

Answer:

answer is 3.2

Step-by-step explanation:

Simplifying

8[4 + -1a] = 2a

[4 * 8 + -1a * 8] = 2a

[32 + -8a] = 2a

Solving

32 + -8a = 2a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a' to each side of the equation.

32 + -8a + -2a = 2a + -2a

Combine like terms: -8a + -2a = -10a

32 + -10a = 2a + -2a

Combine like terms: 2a + -2a = 0

32 + -10a = 0

Add '-32' to each side of the equation.

32 + -32 + -10a = 0 + -32

Combine like terms: 32 + -32 = 0

0 + -10a = 0 + -32

-10a = 0 + -32

Combine like terms: 0 + -32 = -32

-10a = -32

Divide each side by '-10'.

a = 3.2

Simplifying

a = 3.2

Answer:

a = 3.2

Step-by-step explanation:

if the linear equation is: 8 (4-a)=2a the value of a would be 3.2 because

a = 16/5 which equals to 3 1/5 which is the same as 3.2

Answer:

c.

Step-by-step explanation:

The solutions for the given equation are x=−1,1,√2,−√2. Therefore, option B is the correct answer.

The given equation is x⁸-4x⁷+3x⁶+8x⁵-15x⁴+4x³+9x²-8x+2=0.

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Here, (x⁸-4x⁷+8x⁵+4x³)+3x⁶-15x⁴+9x²+2=0

(x-1)⁵(x³+x²-2x-2)=0

(x-1)⁵(x²-2)(x-1)=0

(x-1)⁵=0, (x²-2)=0 and (x-1)=0

x=±1 x=±√2 and x-1

Exact Form: x=−1,1,√2,−√2

Therefore, option B is the correct answer.

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Answer:

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Step-by-step explanation:

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Answer:

\(n = 12h\)

Step-by-step explanation:

Given

\(r = 12/hr\) --- rate

\(h \to hours\)

\(n \to amount\)

Required

Determine which solution is correct or incorrect

The solutions are not given. So, I will provide a general explanation

The amount (n) is calculated as:

\(n = r * h\)

So, we have:

\(n = 12 * h\)

\(n = 12h\)

The above is the general equation to solve for the amount, given h hours

When h = 2.5, we have:

\(n = 12*2.5\)

\(n = 30\)

Answer:

going to add a picture

Step-by-step explanation:

:)

The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.

Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.

This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.

The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.

The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.

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Answer:

Slope = 0.25

Step-by-step explanation:

m= -3 / -12 = -1 / -4 = 0.25

distance between x's = 12

distance between y's = 3

hope this helped thank you!

Answer:

Step-by-step explanation:

recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.

also recall that the formula to find the slope of a line is m=y2-y1/x2-x1

to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.

lets do the math now:

option a)

m=y2-y1/x2-x1

m=12-4/6-0

m=8/6

m=4/3

this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1

option b)

m=y2-y1/x2-x1

m=0-4/6-0

m=-4/6

m= -2/3

this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1

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

ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.

toodles! :)

Answer:

(0,5) or 5

Step-by-step explanation:

the y intercept is the point where the line crosses the y-axis. given this info, its given that the y intercept would be 5, or (0,5) in coordinates ^_^

Answer:

0,5

Step-by-step explanation:

So this is actually simpler than it looks. All you have to do is see what point starts out with the x coordinate at zero. The center of the graph is 0,0, so the y intercept is 0,5 because that is the first graph of y.  The order is 0,5 1,6 2,7 so on and so on. Hope my explanation made sense. There is a reason why I'm not a teacher. Lol.

Answer:

\( z= \frac{0.21- 0.39}{0.0373}= -4.829\)

\( z= \frac{0.32- 0.39}{0.0373}=-1.877\)

And we can find the probability with this difference:

\( P(-4.829<z< -1.877) = P(Z<-1.877) -P(Z<-4.829)=0.0303- 6.86x10^{-7}=0.0303\)

Step-by-step explanation:

For this case we have the following info given:

\( n = 171\) represent the sample size

\(p =0.39\) the proportion of interest

We want to find the following probability:

\( P( 0.21 < \hat p < 0.32)\)

We can use the normal approximation for this case since np >10 and n (1-p) >10

For this case we know that the distribution for the sample proportion is given by:

\(\hat p \sim N( p , \sqrt{\frac{p (1-p)}{n}} )\)

And we can use the following parameters:

\( \mu_{\hat p}= 0.39\)

\( \sigma_{\hat p} =\sqrt{\frac{0.39*(1-0.39)}{171}}= 0.0373\)

And we can apply the z score formula given by:

\( z = \frac{p \\mu_{\hat p}}{\sigma_{\hat p}}\)

And using this formula we got:

\( z= \frac{0.21- 0.39}{0.0373}= -4.829\)

\( z= \frac{0.32- 0.39}{0.0373}=-1.877\)

And we can find the probability with this difference:

\( P(-4.829<z< -1.877) = P(Z<-1.877) -P(Z<-4.829)=0.0303- 6.86x10^{-7}=0.0303\)

Answer:

312 $

Step-by-step explanation:

468 / 12 = 39 bags

8 x 39 = 312 $

so the answer is 312$

Answer:

10x=40

x=40/10

x=4

4 is the answers, not -4

Step-by-step explanation:

pls mark as brainliest

The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have

\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)

Therefore, the two roots of the quadratic equation in exact square root form are:

\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)

Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

A quadratic equation is a second-degree polynomial equation in one variable of the form:

\(ax^2 + bx + c = 0\)

where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.

The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.

The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / 2a\)

where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).

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Answer:

x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))

Step-by-step explanation:

Solve for x over the real numbers:

3 x^2 + 2 x - 6 = 0

Using the quadratic formula, solve for x.

x = (-2 ± sqrt(2^2 - 4×3 (-6)))/(2×3) = (-2 ± sqrt(4 + 72))/6 = (-2 ± sqrt(76))/6:

x = (-2 + sqrt(76))/6 or x = (-2 - sqrt(76))/6

Simplify radicals.

sqrt(76) = sqrt(4×19) = sqrt(2^2×19) = 2sqrt(19):

x = (2 sqrt(19) - 2)/6 or x = (-2 sqrt(19) - 2)/6

Factor the greatest common divisor (gcd) of -2, 2 sqrt(19) and 6 from -2 + 2 sqrt(19).

Factor 2 from -2 + 2 sqrt(19) giving 2 (sqrt(19) - 1):

x = 1/6(2 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6

In (2 (sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.

(2 (sqrt(19) - 1))/6 = (2 (sqrt(19) - 1))/(2×3) = (sqrt(19) - 1)/3:

x = (1/3 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6

Factor the greatest common divisor (gcd) of -2, -2 sqrt(19) and 6 from -2 - 2 sqrt(19).

Factor 2 from -2 - 2 sqrt(19) giving 2 (-sqrt(19) - 1):

x = 1/3 (sqrt(19) - 1) or x = 1/6(2 (-1 - sqrt(19)))

In (2 (-sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.

(2 (-sqrt(19) - 1))/6 = (2 (-sqrt(19) - 1))/(2×3) = (-sqrt(19) - 1)/3:

Answer:  x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))

Answer:

5/24(11x+28)

Step-by-step explanation:

If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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Answer:

The male students must you measure 'n' = 24

Step-by-step explanation:

Step(i):-

Given Population standard deviation = 2.5 inches

Given the margin of error = 1 inches

Step(ii):-

90% confidence interval of Margin of error is determined by

\(M.E = \frac{Z_{\frac{\alpha }{2} } S.D}{\sqrt{n} }\)

\(Z_{\frac{0.10}{2} } = Z_{0.05} = 1.96\)

\(1 = \frac{1.96 X 2.5}{\sqrt{n} }\)

cross multiplication , we get

√n  =  4.9

squaring on both sides , we get

n = 24.01≅ 24

Final answer:-

The male students must you measure 'n' = 24

The total number of male students is 24 and this can be determined by using the formula of margin of error.

Given :

The formula of margin of error can be used in order to determine the sample size. The formula of margin of error is given by:

\(\rm ME =\dfrac{ Z_{\frac{\alpha }{2}}\times \sigma}{\sqrt{n} }\)      ----- (1)

\(\rm Z_{\frac{0.1}{2}}=Z_{0.05} = 1.96\)

Now, substitute the known terms in the equation (1).

\(\rm 1 =\dfrac{ 1.96\times2.5}{\sqrt{n} }\)

Cross multiply in the above expression.

\(\rm \sqrt{n} = 1.96 \times 2.5\)

\(\rm \sqrt{n} = 4.9\)

n = 24.01

n \(\approx\) 24

So, the total number of male students is 24.

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The height of the tree is approximately 109.09 feet. Rounded to the nearest hundredth of a foot, the height of the tree is approximately 109.09 feet.

What is trigonometric functions ?

Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of its side lengths. The most commonly used trigonometric functions are the sine, cosine, and tangent functions, which are abbreviated as sin, cos, and tan, respectively.

We can use trigonometry to solve this problem. Let's assume that the height of the tree is 'h'. We know that the angle of elevation from the ground to the top of the tree is 52 degrees, which means that the angle between the ground and a line from the ground to the top of the tree is also 52 degrees.

We can use the tangent function to relate the height of the tree to the distance from the tree to the point on the ground where the angle of elevation is measured. The tangent of the angle of elevation is equal to the height of the tree divided by the distance from the tree to the point on the ground:

tan(52) = h/82

To solve for 'h', we can multiply both sides by 82:

h = 82 x tan(52)

h ≈ 109.09

Therefore, the height of the tree is approximately 109.09 feet. Rounded to the nearest hundredth of a foot, the height of the tree is approximately 109.09 feet.

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Answer:

(3,0)

Step-by-step explanation:

the x-intercept is the point when the line touches the x-axis. (3,0) is this point, we can see it in the graph.

Answer:

(3,0)  

Step-by-step explanation:

It crosses the x-axis

Answer:

2  2/3

Step-by-step explanation:

Answer:

1.8?

Step-by-step explanation:

Answer:

its 1 4/5 your welcome

Step-by-step explanation:

Answer:

Sugar:

Honey:

Sugar substitute:

Step-by-step explanation:

35 + 14 + 21 = 70

35 out of 70 = 50%

14 out of 70 = 20%

21 out of 70 = 30%

Hope this helps!