what quadratic expression represents (2x+5)(7-4x)

a.-8x^2+6x-35
b.-8x^2-34x+35
c.-8x^2+34x-35
d.-8x^2-6x+35

Answer:

74 inches

Step-by-step explanation:

1 foot is 12 inches, so 6 x 12 = 72, and just add the other 2 inches to get 74 inches.

Answer:

74 inches.

Step-by-step explanation:

Each foot has 12 inches, so multiply 6 by 12 to get 72 inches. Then add the remaining two inches to get a total of 74 inches.

Answer:

i hope you understand easily

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Step-by-step explanation:

Answer:

[tex]P(x>1)=0.9927[/tex]

Step-by-step explanation:

From the question we are told that:

Mean [tex]\=x =7[/tex]

Generally the Poisson equation for \=x is mathematically given by

[tex]P(x>1)=1-P(x \leq 1)[/tex]

Therefor

[tex]P(x>1)=1-(\frac{e^{-7}*7^0}{0!}+{\frac{e^{-7}*7^1}{1!})[/tex]

[tex]P(x>1)=1-(9.1*10^{-4}+6.3*10^{-3})[/tex]

[tex]P(x>1)=1-(7.3*10^{-3}[/tex]

[tex]P(x>1)=0.9927[/tex]

Answer:

Step-by-step explanation:

If X is a normal random variable with a mean of 6 and a standard deviation of 3.0, then find the value x such that P(Z>x)is equal to .7054.

-----

Find the z-value with a right tail of 0.7054

z = invNorm(1-0.7054) = -0.5400

x = zs+u

x = -5400*3+6 = 4.38

Answer:

$1

Step-by-step explanation:

because of the dollar it makes sense to be a dollar

Evaluating the limand directly at x = 0 yields the indeterminate form 0/0. If L'Hopital's rule is known to you, you can compute the limit by applying it twice:

[tex]\displaystyle\lim_{x\to0}\frac{x\left(e^{3x}-1\right)}{2-2\cos(x)} = \lim_{x\to0}\frac{3xe^{3x}+e^{3x}-1}{2\sin(x)} \\\\\\ = \lim_{x\to0}\frac{9xe^{3x}+6e^{3x}}{2\cos(x)} = \frac62=\boxed{3}[/tex]

Step-by-step explanation:

[tex]G(t) =\displaystyle \int (4 + t + t^2)dt[/tex]

[tex]\:\:\:\:\:\:\:=4t + \frac{1}{2}t^2 + \frac{1}{3}t^3 + C[/tex]

Check:

[tex]\dfrac{d}{dt}(4t + \frac{1}{2}t^2 + \frac{1}{3}t^3+C)= 4 + t + t^2 =g(t)[/tex]

The line AB and CD are parallel. Then it is impossible that the line AB intersects the line CD.

When the distance between the lines is constant, then the lines are called parallel lines. The lines do not intersect when they are separated from each other. And the slope of the lines is equal.

Given that ∠ABC = 70° and ∠BCD = 110°.

Then the line AB and the line CD makes the same angle with the line BC.

Hence, the line AB and CD are parallel.

Then it is impossible that the line AB intersects the line CD.

More about the parallel lines link is given below.

https://brainly.com/question/16701300

#SPJ1

Answer:

The slope is -3/4 because it rises goes down 3 and runs 4. the Y-intercept or where the line meets the y line is 3.

Answer:

0.2917 = 29.17% probability that a randomly selected female student on campus will have served a mission.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

1200 female students, out of them, 350 have served a mission. So

[tex]p = \frac{350}{1200} = 0.2917[/tex]

0.2917 = 29.17% probability that a randomly selected female student on campus will have served a mission.

Answer:

D

Step-by-step explanation:

Slope of the first line = (1-3)/1 = -2

Answer:

use blue red blue red

Step-by-step explanation:

Answer:

y + 1 = 3(x+ 1)

Step-by-step explanation:

(2,3) , (0 ,-3)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{-3-3}{0-2}\\\\=\frac{-6}{-2}\\\\= 3[/tex]

m = 3

Parallel lines have same slope.

m = 3; (-1 , -1)

y -y1 = m (x -x1)

y -[-1] = 3(x -[-1])

y + 1 = 3(x+ 1)

Answer:

D. y+1=3(x+1)

Answer:

5

Step-by-step explanation:

I'm going to call x, x1 because I want to use x as a variable.

So we have a ray with points (0,0) and (3x1,5) on it. This equation for this ray would be y=5/(3x1)×x.

We have another ray with points (0,0) and (2,-6). This equation for this ray would be y=-6/2×x or y=-3x.

We want these two lines' slopes to be opposite reciprocals. The opposite reciprocal of -3 is 1/3.

So we want to find x1 such that 5/(3x1)=1/3.

Cross multiply: 15=3x1

Divide both sides by 3: 5=x1

We want x1 to be 5 so that 5/(3×5) and -3 are opposite reciprocals which they are.

Another way:

If two vectors are perpendicular, then their dot product is 0.

The dot product of <3x,5> and <2,-6> is 3x(2)+5(-6).

Let's simplify:

6x-30.

We want this to be 0.

6x-30=0

Add 30 on both sides:

6x=30

Divide both sides by 6:

x=5

Answer:

(a) [tex]P(Two\ Positive) = 0.2775[/tex]

(b) It is not too low

Step-by-step explanation:

Given

[tex]P(Single\ Positive) = 0.15[/tex]

[tex]n = 2[/tex]

Solving (a):

[tex]P(Two\ Positive)[/tex]

First, calculate the probability of single negative

[tex]P(Single\ Negative) =1 - P(Single\ Positive)[/tex] --- complement rule

[tex]P(Single\ Negative) =1 - 0.15[/tex]

[tex]P(Single\ Negative) =0.85[/tex]

The probability that two combined tests are negative is:

[tex]P(Two\ Negative) = P(Single\ Negative) *P(Single\ Negative)[/tex]

[tex]P(Two\ Negative) = 0.85 * 0.85[/tex]

[tex]P(Two\ Negative) = 0.7225[/tex]

Using the complement rule, we have:

[tex]P(Two\ Positive) = 1 - P(Two\ Negative)[/tex]

So, we have:

[tex]P(Two\ Positive) = 1 - 0.7225[/tex]

[tex]P(Two\ Positive) = 0.2775[/tex]

Solving (b): Is (a) low enough?

Generally, when a probability is less than or  equal to 0.05; such probabilities are extremely not likely to occur

By comparison:

[tex]0.2775 > 0.05[/tex]

Hence, it is not too low

9514 1404 393

Answer:

  25

Step-by-step explanation:

  total books = (books per box) × (number of boxes)

  number of boxes = (total books)/(books per box) = 625 /25 = 25

She needs 25 boxes to move all the books.

Answer: Either 2, 5, or 8

This means the number 426 is divisible by 6. So are 456 and 486

===============================================================

Explanation:

A number is divisible by 6 if both of the following are true

This is simply because 6 = 2*3. So if 6 is a factor of a number, then 2 and 3 must be factors.

Therefore, 426 is a multiple of 6

Increment that middle digit 2 by 3 and we jump from 426 to 456. Those three digits add to a multiple of 3 as well (4+5+6 = 15). Following that line of logic, we go from 456 to 486 as the last possible three digit number that has these conditions of having 4 first and 6 last, and the number is a multiple of 6.

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

In short,

The numbers 426 and 456 and 486 are all multiples of 6 since they are multiples of 2 and 3 at the same time.

So we could replace that middle digit with either 2, 5 or 8.

Answer:

0.7

Step-by-step explanation:

67/10 is the same as 6.7 when you subtract the 0.7 you will remain with 6

Answer:

C. 6

Step-by-step explanation:

Recall that inverse variation is given by:

[tex]\displaystyle y=\frac{k}{x}[/tex]

Where k is the constant of variation.

We know that y = 48 when x = 3. Substitute:

[tex]\displaystyle (48)=\frac{k}{(3)}[/tex]

Solve for k:

[tex]k=3(48)=144[/tex]

Hence, our equation is:

[tex]\displaystyle y=\frac{144}{x}[/tex]

We want to find x when y = 24. Substitute:

[tex]\displaystyle \frac{24}{1}=\frac{144}{x}[/tex]

Cross-multiply:

[tex]24x=144[/tex]

Divide both sides by 24. Hence:

[tex]x=6[/tex]

Our answer is C.

Answer:

Step-by-step explanation:

The equation in slope-intercept form:  y = mx + b

y + 2 = -2(x - 5)

y + 2 = -2x + 10              {subtract 2 from both sides

y = -2x + 8

Answer:

C, D, D.

Step-by-step explanation:

Problem 6)

We want to determine the equation of the graphed inequality.

First, let's determine the equation of the line for the inequality. We can see that it passes through the points (-2, 0) and (0, 2). Find the slope:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{2-0}{0-(-2)}=\frac{2}{2}=1[/tex]

So, the slope of the line is one.

And since it passes through the point (0, 2), our y-intercept is two. Therefore, the equation of the line is:

[tex]y=x+2[/tex]

Next, notice that the shaded region is below the line. Also, the line itself is also shaded.

Since the shaded region is below the line, y is less than the graph of the line and since the line itself is shaded, our sign is less than or equal to.

Hence:

[tex]y \leq x + 2[/tex]

Our answer is C.

Problem 7)

We have the inequality:

[tex]-2x+8+5x>2x+1[/tex]

First, solve the inequality. Combine like terms:

[tex]3x+8>2x+1[/tex]

Subtract x from both sides:

[tex]x+8>1[/tex]

And subtract 8 from both sides:

[tex]x>-7[/tex]

Therefore, any value greater than -7 will satisfy the inequality.

Out of the choices, the only choice greater than -7 is -5.

So, our answer is D.

Problem 8)

We have the inequality:

[tex]5x+7\leq 8x-3+2x[/tex]

Again, solve the inequality. Combine like terms:

[tex]5x+7\leq 10x-3[/tex]

Subtract 5x from both sides:

[tex]7\leq 5x-3[/tex]

And add three to both sides:

[tex]10\leq 5x[/tex]

Divide both sides by five:

[tex]2\leq x[/tex]

Flip:

[tex]x\geq 2[/tex]

Therfore, any value greater than or equal to 2 will satisfy the inequality.

Out of the choices, the only choice greater than or equal to 2 is 2.

So, our answer is D.

Answer:

B. Similar - AA

Step-by-step explanation:

Two angles in ∆ABC are congruent to two corresponding angles in ∆DEF. Thus, it follows that the third pair of angles of both triangles would also be congruent.

Therefore, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.

This satisfies the AA Similarity Criterion. Therefore, ∆ABC ~ ∆DEF by AA.

Answer:

21

Step-by-step explanation:

Fill in x into 5 and c into -4

5-4(-4)

21

Answer: -11

Step-by-step explanation:

x=5

and

c=4

the equation written in numbers is:

5-4x4 which simplified equals 5-16

this equals 5-5-11 so it should be -11

Answer:

The number is 9.5

Step-by-step explanation:

Look at the picture above, it explains everything

Answer: hello there here are your answers:

8) B multiplication property of zero

9) C additive identify

1) 8

2) -2a-7

Step-by-step explanation:

1) [tex]\frac{3+u}8^{2} \\u=5 \\so\\ \frac{3+5}8^{2} \\3+5=8^{2} \\8^{2} =\\64 \\\\ 64/8=\\\\\\8 \\there.\\\\\\[/tex]

2)[tex]-2(a-7)\\\\-2(a)(-7)\\\\=-2a+14\\\\\\there[/tex]

Answer:

f(n+1=-2f(n)

f(x)=-2f(n)

f(4)

f(4)=-2f(4)

Answer:

f(4) = - 1280

Step-by-step explanation:

Using the recursive rule and f(1) = 60 , then

f(2) = - 2f(1) = - 2 × 160 = - 320

f(3) = - 2f(2) = - 2 × - 320 = 640

f(4) = - 2f(3) = - 2 × 640 = - 1280

Answer:

[tex]x = - 2[/tex]

[tex]x = - 5[/tex]

Step-by-step explanation:

Give

[tex](x - 5)(x + 12)[/tex]

Apply FOIL Method

[tex]x {}^{2} + 7x - 60 = - 70[/tex]

Add 70 on both sides

[tex] {x}^{2} + 7x + 10[/tex]

Factor

[tex](x + 2)(x + 5)[/tex]

So our roots are

x=-2

x=-5

Answer:

dtet

Step-by-step explanation:

dgbyn