Can someone help me with this

Answer:

3 = 3(x² - 1) We know, any Function f(x) decrease s in interval [a, b] when f'(x) < 0 ... -1 < x < 1. Hence, function f(x) = x³ - 3x - 2 , is decreased in (-1, 1).

Answer:

4x-7y = -21

Step-by-step explanation:

1. Move 4/7x to the other side

-4/7x+y=-3

2. Multiply both sides by -7

4x-7y=-21

3x-7y=28 is it in standard form

Answer:

80

Step-by-step explanation:

since a=40

40x2 is 80

The value of x is 80 which is the correct answer would be an option (B)

Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.

Given that angle ∠a = 40°

∠x = 2∠a

Substitute the value of ∠a = 40°

∠x = 40×2

∠x = 80°

Hence, the value of x is 80 degree

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Answer:

long is rt3

short is 1

hypotenuse is 2

Step-by-step explanation:

in a 30, 60, 90 triangle, if the short side is 'x' then the long side is 'x rt3' and the hypotenuse is '2x'

Answer:

many sides

unique shape

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Steps:

Step 1: Put the numbers in order. ...

Step 2: Find the median. ...

Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...

Step 4: Find Q1 and Q3. ...

Step 5: Subtract Q1 from Q3 to find the interquartile range.

Answer: 13.1

Step-by-step explanation:

9514 1404 393

Answer:

  x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

  x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

  x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.

Answer:

32°

Step-by-step explanation:

The model forms a triangle. The sum of the angles of a triangle is 180°. Solve with the following equation:

? + 90 + 58 = 180

? + 148 = 180

? = 32

Therefore, the angle of elevation is 32°.

Answer:

[tex] \bf \: y = 2 {x}^{2} - 6x - 8[/tex]

It is equation of a parabolla.

It is to be noted that the graph of y = 2x * 2-6x-8 which when simplified is  y = -12x² - 12x. is attached accordingly.

The graph of y = -12x² - 12x is a downward-opening parabola.

It has a concave shape and its vertex is the highest point on the graph. The axis of symmetry is a vertical line passing through the vertex.

The graph may intersect or be tangent to the x-axis at two points, one point, or no points, depending on the discriminant.

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Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) [tex]2x-11=x+7[/tex]

2) [tex]x-11=7[/tex]

3)[tex]x=18[/tex]

Answer:

y = 3x ..... 1:3

y=9x  ...... 1:9

Step-by-step explanation:

Answer:

Minimum Possible Temperature: 55° F

Maximum Possible Temperature: 71° F

Step-by-step explanation:

Beginning temperature: 63° F

Change in temperature: 8° F

If the temperature decreased: 63° F - 8 °F = 55° F

If the temperature increased: 63° F + 8° F = 71° F

Minimum Possible Temperature: 55° F

Maximum Possible Temperature: 71° F

Answer:

The height of flag pole is 841.8 ft.

Step-by-step explanation:

Let the height of the flag post is h.

x = 1660 ft

According to the triangle, ABC

[tex]tan 41 = \frac{y}{1660}\\\\y = 1443 ft[/tex]

Now According to the triangle ABD

[tex]tan 54 = \frac{h + y }{1660}\\\\h + 1443 = 2284.8\\\\h = 841.8 ft[/tex]

Given:

The sum of the cubic powers of three rational numbers is -1009.

The ratio between the first number and the second number is [tex]\dfrac{2}{3}[/tex].

The ratio between the first number and the third number is [tex]\dfrac{4}{9}[/tex].

To find:

The three numbers.

Solution:

Let [tex]x,y,z[/tex] be the three numbers, then

[tex]x^3+y^3+z^3=-1009[/tex]                ...(i)

[tex]\dfrac{x}{y}=\dfrac{2}{3}[/tex]

[tex]3x=2y[/tex]

[tex]\dfrac{3}{2}x=y[/tex]                        ...(ii)

[tex]\dfrac{x}{z}=\dfrac{4}{9}[/tex]

[tex]9x=4z[/tex]

[tex]\dfrac{9}{4}x=z[/tex]                         ...(iii)

Using (i), (ii) and (iii), we get

[tex]x^3+\left(\dfrac{3}{2}x\right)^3+\left(\dfrac{9}{4}x\right)^3=-1009[/tex]

[tex]x^3+\dfrac{27}{8}x^3+\dfrac{729}{64}x^3=-1009[/tex]

[tex]\dfrac{64+216+729}{64}x^3=-1009[/tex]

[tex]\dfrac{1009}{64}x^3=-1009[/tex]

[tex]x^3=\dfrac{-1009\times 64}{1009}[/tex]

On simplification, we get

[tex]x^3=-64[/tex]

[tex]x^3=-4^3[/tex]

[tex]x=-4[/tex]

Substituting [tex]x=-4[/tex] in (ii), we get

[tex]\dfrac{3}{2}(-4)=y[/tex]

[tex]-6=y[/tex]

Substituting [tex]x=-4[/tex] in (iii), we get

[tex]\dfrac{9}{4}(-4)=z[/tex]

[tex]-9=z[/tex]

Therefore, the three numbers are -4, -6 and -9 respectively.

Answer:

30

Step-by-step explanation:

let the length of VN be x

VNB ~ VMD

VN/VM = BN/DM

x/(30+x) = 12/24

24x=12(30+x)

24x=360+12x

12x=360

x = 30

Answer:

the number of senors is 150

Step-by-step explanation:

call the number of seniors is a

we have number of juniors is 4/3a

number of sophomores is 3/2*4/3*a=2a

number of freshmen is also =2a

sum of all studens in that school = a+4/3a+4a=950

a=150

Answer:

C i think sorry if its wrong

Step-by-step explanation:

Answer:

bottom left one

note the >, < ≤ , ≥

for x > 0 the dot should NOT be solid

Step-by-step explanation:

Answer:

Step-by-step explanation:

so you have divide  ok by my  and divide 5x1

Answer:

D

Step-by-step explanation:

g(x) = 9x^2 satisfy the point (1,9).

Answer:

130°

Step-by-step explanation:

Step-by-step explanation:

if

c = 3 + 6 = 9

and

n = 4 + 5 = 9

then it could be true

Answer:

the angle GHJ would be 76 because the central angle is always double the measurement of the inscribed angle

Answer:

12 in^2

Step-by-step explanation:

The figure with the given area is twice as big as the small figure and these are similar figures. Therefore we divide 24/2 = 12

Answer:

Option B

Step-by-step explanation:

You'll find one solution for this, so this system has one solution

Answer:

B.

Step-by-step explanation:

Just did it and got it correct

[tex]\displaystyle \Large \boldsymbol{} a) \ \underline{x^2-3x}+\underline{2x-6}-\underline{xy+3y}=\\\\\\x(x-3)+2(x-3)-y(x-3)=\boxed{(x-3)(x-y+2)} \\\\\\b) \ mn-mx-n+x=m(n-x)-(n-x) =\boxed{ (m-1)(n-x)}[/tex]

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that [tex]\mu = 32, \sigma = 1.5[/tex]

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 32}{1.5}[/tex]

[tex]X - 32 = -1.645*1.5[/tex]

[tex]X = 29.5[/tex]

Heights of 29.5 and below could be a problem.

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

Explanation:

It's a bit strange why your teacher has the "26 degree" label pointing at a side length, rather than an actual angle. I'm assuming your teacher meant to aim it at angle C. In other words, I'm assuming they meant to say angle C = 26 degrees.

If that assumption is correct, then,

A+B+C = 180

38+B+26 = 180

B+64 = 180

B = 180-64

B = 116

Then we can use the law of sines like so:

a/sin(A) = b/sin(B)

a/sin(38) = 10/sin(116)

a = sin(38)*10/sin(116)

a = 6.84986152123146

a = 6.8

Side 'a' is approximately 6.8 inches long. So that's why the answer is choice A.