The difference between a and b

Answer:

Step-by-step explanation:

False, because plugging it in would imply that 22.5 = 11.25

False

its false

The answer is false ok. there

For this case we must factor the following expression:

[tex]16x ^ 2-25y ^ 2[/tex]

By definition, the formula of square difference states that:

[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]

In this case:

[tex]a = 4x\\b = 5y[/tex]

Then, we can factor the expression as:

[tex](4x + 5y) (4x-5y)[/tex]

Answer:

[tex](4x + 5y) (4x-5y)[/tex]

Final answer:

The expression [tex]16x^2-25y^2[/tex]is a difference of squares and factors into the product of two binomial conjugates, which is (4x + 5y)(4x - 5y).

Explanation:

The expression [tex]16x^2-25y^2[/tex] is a difference of squares, which is a special factoring case where you have two perfect squares separated by a subtraction sign. The difference of squares can be factored into the product of two binomials that are conjugates of each other. This means that they are identical except for the sign between their terms.

The factorization is:

Therefore, the factorization of the given expression is[tex]\((4x + 5y)(4x - 5y)\).[/tex]

Answer:

[tex]x>5[/tex] or [tex]x<-5[/tex]

Step-by-step explanation:

Isolate the absolute value term.

[tex]7|\frac{x}{7}|>5 \\ \\ |\frac{x}{7}|>35[/tex]

Take about the absolute value sign.

[tex]\frac{x}{7}>5[/tex] or [tex]-\frac{x}{7}>5[/tex]

Solve for each inequality.

[tex]x>5[/tex] or [tex]x<-5[/tex]

Answer:

See explanation

Step-by-step explanation:

Zeros of the function are those values of x, for which g(x)=0, so solve the equation g(x)=0:

[tex]x^3-x^2-4x+4=0\\ \\x^2(x-1)-4(x-1)=0\\ \\(x-1)(x^2-4)=0\\ \\(x-1)(x-2)(x+2)=0\\ \\x_1=-2,\ x_2=1,\ x_3=2[/tex]

Hence, the function has three zeros, x=-2, x=1 and x=2.

To find the y-intercept, substitute x=0:

[tex]y=g(0)=0^3-0^2-4\cdot 0+4=4,[/tex]

so y-intercept is at point (0,4).

The graph of the function shows that when x is infinitely small, then y is infinitely small too and if x is infinitely large, then y is infinitely large too.

Answer:

The zeros: x = 1, -2, 2

The y-intercept:  (0, 4)

The end behavior :

x  --> + ∞, f(x) --> + ∞

x  --> - ∞, f(x) --> - ∞

Step-by-step explanation:

Zero function:

x^3 - x^2 - 4x + 4 = 0

(x^3 - x^2) - (4x - 4) = 0

x^2(x - 1) - 4(x - 1) = 0

(x^2 - 4)(x - 1) = 0

(x + 2)(x - 2)(x - 1) = 0

x + 2 = 0; x = -2

x - 2 = 0; x = 2

x - 1 = 0; x = 1

The zeros: x = 1, -2, 2

The y-intercept when x = 0 so y-intercept = 4 or (0, 4)

The end behavior of a function f(x) :  the behavior of the graph of the function at the ends of the x-axis.

As x approaches + ∞, f(x) approaches + ∞

As x approaches - ∞, f(x) approaches - ∞

Answer:

Step-by-step explanation:

n! = 1 · 2 · 3 · 4 · ... · n

6! = 1 · 2 · 3 · 4 · 5 · 6 = 720

(4! × (6 - 4)!) = (1 · 2 · 3 · 4 × 2!) = 24 × 1 · 2 = 24 × 2 = 48

Answer:

Step-by-step explanation:

In other words, solve the system

2x - 3y = 8

4x + 3y = -2

Let's use the method of elimination.  Mult. the first equation by -2:

-4x + 6y = -16

4x  + 3y = -2

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

         8y = -18, so y = -9/4.     If y = -9/4, then 2x - 3(-9/4) = 8, and:

2x + 27/4 = 8, or

2x + 27/4 = 32/4, or

2x  = 5/4, or

x = 5/8

Then the solution is (5/8, -9/4).

If this does not match any of the possible answer choices, please check to ensure that y ou have copied down this problem correctly.  Where do the "- =" symbols following the '8' come from?

To find the values of x and y that fit both equations, we can solve the system of equations using the elimination method. The values of x and y that fit both equations are x = 1 and y = -2.

To find the values of x and y that fit both the equations 2x - 3y = 8 and 4x + 3y = -2, we can solve the system of equations. This can be done using the elimination method or the substitution method. Let's use the elimination method:

Multiplying the first equation by 4 and the second equation by 2, we get:

8x - 12y = 32

8x + 6y = -4

Subtracting the second equation from the first, we get:

-18y = 36

Dividing both sides by -18, we find that y = -2. Substituting this value back into the first equation, we can solve for x:

2x - 3(-2) = 8

2x + 6 = 8

2x = 2

x = 1

Therefore, the values of x and y that fit both equations are x = 1 and y = -2.

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The y-coordinate of the midpoint of the vertical line segment is calculated by method B. Divide 15 by 2, which gives the midpoint's y-coordinate as 7.5.

To calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and (0,15), you can use the method of dividing the y-coordinates of the endpoints by 2. In this case, you would divide 15 by 2 to find the midpoint's y-coordinate, which is method B. Divide 15 by 2. This is because the midpoint of a line segment is found by averaging the coordinates of the endpoints, and for the y-coordinates you add them together and then divide by 2. So, the calculation is (0 + 15) / 2, which equals 7.5. Thus, the midpoint of the segment is at the point (0, 7.5).

Answer:

A = choosing a red marble

B = choosing a green marble

Probability of A happening = P(A) = 5/(3+5+4) = 5/12

Probability of B happening = P(B) = 4/(3+5+4) = 4/12

Probability of either happening = P(A) + P(B) = 5/12 + 4/12 = 7/12

The key word in their question is red OR green and that is why we add the two probabilities. If they ask the probability of them both happening (if they said red AND green), you would multiply P(A)*P(B).

The probability that the chosen marble is not red is [tex]\frac{7}{12}[/tex].

A probability is a number that reflects the chance or likelihood that a particular event will occur.

The formula of the probability is

[tex]P(E) = \frac{Number\ of\ favorable\ outcomes}{Total\ number\ of\ outcomes }[/tex]

Where, P(E) is the probability of an event.

According to the given question.

Number of red marbles = 5

Number of blue marbles = 4

Number of green marbles = 3

So,

The total number of marbles in a bag = 5+4+3 = 12

And, the probability that chosen marble is red = [tex]\frac{5}{12}[/tex]

Therefore,

the probability that the chosen marble is not red

[tex]=1-\frac{5}{12} \\[/tex]

[tex]= \frac{12-5}{12}[/tex]

[tex]= \frac{7}{12}[/tex]

Hence, the probability that the chosen marble is not red is [tex]\frac{7}{12}[/tex].

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The correct answer is A - positive

Answer:

A  and the slope is 8/12

Step-by-step explanation:

Answer:

If the circumference of the shield is 100.48 inches, its radius is 16 inches and the area of the front of the shield is about 803.84 square inches.

Explanation:

Circumference = 2x r x Pi implies r =Circumference / 2Pi=100.48/2x3.14=16

Area = Pi x r²=3.14 x 16²=804.84

Answer:

If the circumference of the shield is 100.48 inches, its radius is 16 inches and the area of the front of the shield is about 803.84 square inches.

Check the picture below.

make sure your calculator is in Degree mode.

Thus, the kite is height of 400 ft above the ground.

Hence, option B is correct.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that,

Hypotenuse of tringle = 520 ft

And inclination angle = 50.2 degree

We know that if any one of interior angle is of 90 degree then the angle is said to be right angle triangle.

Since,

sinΘ = (opposite side of Θ)/Hypotenuse

Therefore,

⇒ sin50.2 = Height/520         (since opposite side is height of triangle as shown in figure)

⇒ 0.76 = Height/520  

⇒ Height = 395.2 feet ≈ 400ft  (in nearest foot)

Hence,

Height of kite is 400 ft.

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For number 1 the answer is A because negative correlation means something decrease as times goes on and for number 2 the answer is B because it is the best fit and is not really far away if you sustract.hope this helps. please add brainlist

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.5 + 0.4 - 0.15

P(A or B) = 0.75

Answer:

correct option for first blank is 5/4 and for second blank is [tex]\frac{ 3i\sqrt{7}}{4}[/tex]

i.e m= [tex]\frac{5}{4}\pm\frac{ 3i\sqrt{7}}{4}[/tex]

Step-by-step explanation:

The given equation

[tex]m^2 - \frac {5m}{2} = \frac{-11}{2}[/tex]

and we have to find m= ______ ± ________

We can use quadratic formula to solve this question.

The above equation can be written as: [tex]m^2 - \frac {5m}{2} + \frac{11}{2} = 0[/tex]

and the formula used will be:

[tex]m= \frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Putting values of a= 1, b= -5/2 and c= 11/2 and solving we get:[tex]m=\frac{-\frac{-5}{2}\pm\sqrt{{(\frac{-5}{2})}^2-4(1)(\frac{11}{2})}}{2(1)}\\\\m=\frac{\frac{5}{2}\pm\sqrt{(\frac{25}{4})-22}}{2}\\m=\frac{\frac{5}{2}\pm\sqrt{(\frac{-63}{4})}}{2}\\m= \frac{\frac{5}{2}}{2}\pm\frac{\sqrt{(\frac{-63}{4})}}{2}\\m= \frac{5}{4}\pm\frac{\sqrt{-63}}{4}[/tex]

Since there is - sign inside the √ so [tex]\sqrt{-1}[/tex] is equal to i and we have to divide [tex]\sqrt{63}[/tex] into its multiples such that the square root of one multiple is whole no so,

[tex]\sqrt{63}[/tex]  = [tex]\sqrt{9}* \sqrt{7}[/tex]=[tex]3* \sqrt{7}[/tex]

Putting value of [tex]\sqrt{63}[/tex] and [tex]\sqrt{-1}[/tex]

the value of m= [tex]\frac{5}{4}\pm\frac{ 3i\sqrt{7}}{4}[/tex]

so, correct option for first blank is 5/4 and for second blank is [tex]\frac{ 3i\sqrt{7}}{4}[/tex] .

Answer:

$1,615.38

Step-by-step explanation:

Remember that

1 year=52 weeks

we know that

Carmen was hired as a salaried computer programmer for $42,000 per year

or

was hired as a salaried computer programmer for $42,000 per 52 weeks

using proportion

Find out how much is the salary per 2 weeks

[tex]\frac{42,000}{52}=\frac{x}{2}\\\\x=42,000*2/52\\\\x=\$1,615.38[/tex]

Answer:

is 235

Step-by-step explanation:

shown in the image attached

Hope this helps

For this case we have that by definition, a flat angle is one that measures 180 degrees. It is observed that a flat angle is formed from the first to the second quadrant.

Now, we must add 55 degrees of the third quadrant, then:

[tex]180 + 55 = 235[/tex]

Thus, the angle formed is 235 degrees.

Answer:

235 degrees

Option A

The right answer for this one is C.

The length of side x is  4√3

The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. In order for the value of the cosine function to not be 0, it is the ratio of the sine and cosine functions of an acute angle.

Given

Height = 12

θ = 60

tan θ = height/base

tan 60 = 12/base

√3 = 12/x

x = 12/√3 = 4√3

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The distance between the point (-3, -4) and the line 2y = -3x + 6 is 23 ÷ 13.

The distance between the point (-3, -4) and the line given by the equation 2y = -3x + 6 can be found using the point-to-line distance formula:

D = |Ax + By + C| ÷ (A^2 + B^2)

Firstly, we want to put the line equation in the standard form of Ax + By + C = 0. Let us rearrange the given equation of the line to this form:

3x + 2y - 6 = 0

Where A = 3, B = 2, and C = -6. Using the point (-3, -4), we plug the values into the point-to-line distance formula:

D = |3(-3) + 2(-4) - 6| ÷(3^2 + 2^2)

D = |-9 - 8 - 6| ÷(9 + 4)

D = | -23 | ÷ 13

D = 23 /÷ 13

Since ÷ 13 is an irrational number, we can't simplify it further. Therefore, the distance is:

D = 23 ÷ 13

16x6=96 square feet

Answer: The answer is D. 96

Step-by-step explanation: Why? well on the paper it shows the balcony 16*6 so the answer is 96 square feet.

For this case we have that by definition, the coordinates of the midpoint are given by:

[tex]M = (\frac {x_ {1} + x_ {2}} {2}, \frac {y_ {1} + y_ {2}} {2})[/tex]

We have the following points:

[tex](x_ {1}, y_ {1}) :( 8, -3)\\(x_ {2}, y_ {2}): (- 5, -9)[/tex]

Substituting the values:

[tex]M = (\frac {8 + (- 5)} {2}, \frac {-3 + (- 9)} {2})\\M = (\frac {8-5} {2}, \frac {-3-9} {2})\\M = (\frac {3} {2}, \frac {-12} {2})\\M = (1.5; -6)[/tex]

Answer:

Option C

Answer:

(1.5, -6) ~apex

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

f(n+1) = -10f(n)

f(1) = 1

f(2) = -10f(1) => f(2) = -10·1 => f(2) = -10

f(3) = -10f(2) => f(3) = -10·(-10) => f(3) = 100

Answer:

100

Step-by-step explanation:

Answer:

Step-by-step explanation:

12/7 cups of blueberries

Answer:

111 g

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

2 + 3 = 5

185 ÷ 5 = 37

2 : 3

( × 37 )

74 : 111

Answer:

D

Step-by-step explanation:

We can see in the graph f(x) that the x intercept is [tex](1,0)[/tex].

In the table of g(x), we can see that the x intercept is [tex](-1,0)[/tex].

Since [tex]1>-1[/tex], the x intercept of the graph f(x) is greater than the x intercept of graph g(x).

ANSWER

D. The x-intercept of f(x) is greater than the x-intercept of g(x).

EXPLANATION

From the graph, f(x) touches the y-axis at y=-1.

The y-intercept of -1

The graph touches the x-axis at x=1.

This is the x-intercept.

From the table, the y-intercept is the point with x-coordinate of zero.

From the table, x=0 when y=1.

The y-intercept of g(x) is 1.

The x-intercept is where y=0.

The x-intercept is -1.

The x-intercept of f(x), which is 1, is greater than the x-intercept of g(x), which is -1

The correct choice is D.

Answer:  C) 2

Step-by-step explanation:

The red curve is: y = eˣ

The blue line is: y = 2x + 3

The intersect at two coordinates: (-1.4, 0.2) & (2, 7)

The only x-value option provided in your answer choices is: x = 2

Answer:

multiply 22.8 by 22.8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]m+4\leq6[/tex]

We subtract 4 from each side to get [tex]m\leq2[/tex]

Let's plug in a random point such as 0.

[tex]0+4\leq6 \\ \\ 4\leq6[/tex]

Since this is true, the inequality we made is true.

Answer:

[tex]\large\boxed{1\dfrac{3}{5}\times2\dfrac{1}{7}=3\dfrac{3}{7}}[/tex]

Step-by-step explanation:

Step 1:

Convert the mixed numbers to the improper fractions:

[tex]1\dfrac{3}{5}=\dfrac{1\cdot5+3}{5}=\dfrac{8}{5}\\\\2\dfrac{1}{7}=\dfrac{2\cdot7+1}{7}=\dfrac{15}{7}[/tex]

Step 2:

We multiply the numbers remembering about simplifying:

[tex]1\dfrac{3}{5}\times2\dfrac{1}{7}=\dfrac{8}{5\!\!\!\!\diagup_1}\times\dfrac{15\!\!\!\!\!\diagup^3}{7}=\dfrac{8\times3}{1\times7}=\dfrac{24}{7}=\dfrac{21+3}{7}=\dfrac{21}{7}+\dfrac{3}{7}=3\dfrac{3}{7}[/tex]

Answer:

The answer is 6.

Step-by-step explanation:

Remember,  Gloria can knit one block in 50 minutes, and they want to know how many blocks she can knit in 5 whole hours.

Which means, that is 5 squares in 4 hours, but we still have the 10 minutes from each of the 50 minutes.

So, you add up the 5 ten minutes (50 minutes) Which gives you a whole square.

Therefore, Gloria can knit 6 squares in 50 minutes.

Gloria can knit 6 blocks in 5 hours if she maintains her knitting rate of one block every 50 minutes.

Gloria can knit one block of a quilt in 50 minutes. To find out how many blocks she can knit in 5 hours, one should first convert the knitting time from hours to minutes. Since there are 60 minutes in an hour, 5 hours is equal to 300 minutes. Next, divide the total available knitting time by the time it takes to knit one block.

300 minutes / 50 minutes per block = 6 blocks
So, if Gloria knits at the same rate, she can knit 6 blocks in 5 hours.

Answer:

unit pay 10

slope  10

Step-by-step explanation:

$40/4hr = $10/1hr =10

ANSWER

A. {75, 145, 198, 214}

EXPLANATION

From the given information,the income is given by the function

[tex]f(x) = 2x + 54[/tex]

where f(x) is the income in dollars and x is the area in square meters of lawn mowed.

To find the area that corresponds to John's earnings, we equate the function to the earnings and solve for x.

For the area that corresponds to 204, we have

[tex]2x + 54 = 204[/tex]

[tex]2x = 204 - 54[/tex]

[tex]2x = 150[/tex]

[tex]x = 75[/tex]

For the area that corresponds to 344, we have:

[tex]2x + 54 = 344[/tex]

[tex]2x = 344 - 54[/tex]

[tex]2x=290[/tex]

[tex]x = 145[/tex]

For the area that corresponds to 450, we have

[tex]2x + 54 = 450[/tex]

[tex]2x= 450 - 54[/tex]

[tex]2x =396[/tex]

[tex]x = 198[/tex]

For the area that corresponds to 482, we have

[tex]2x + 54 = 482[/tex]

[tex]2x= 482 - 54[/tex]

[tex]2x = 428[/tex]

[tex]x = 214[/tex]

Therefore the correct answer is A.