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Answer:

.

Step-by-step explanation:

Answer: The function is decreasing for all real values of x where x < 1.5.

Step-by-step explanation:

The axis of symmetry is [tex]x=\frac{4-1}{2}=1.5[/tex]

Since the coefficient of [tex]x^2[/tex] is positive, the graph opens upwards.

So, the function is decreasing for all real values of x where x < 1.5.

The measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.

If any of its inner angles is 90 degrees, the triangle is said to be right-angled. Another term for this triangle is the right triangle or 90-degree triangle.

From the given triangle, it is observed that one of the angles is 90°, showing the given triangle is a right-angle triangle.

From the Δ ABC we found;

tan 45° = AB/BC

1=AB/BC

AB=BC

sin 45° = AB/AC

(1/√2)=AB/AC

AC = √2 AB

From the graph, it is observed that

AB=BC =3 units

AC=  √2 AB

AC = 3√2 units

Hence, the measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.

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The value of the exponential function when x = 2 is 64

The standard form of exponential equation is expressed as y = ab^x

Given the exponential function expressed as:

f(x) = 2^x

For the value f(6)

f(6) = 2^x

f(6) = 2^6

f(6) = 64

Hence the value of the exponential function when x = 2 is 64

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Answer:

x = 59°, y = 31°

Explanation:

Angles (x) and (x - 28) sum ups to 90° on a straight line.

→ x + (x - 28) = 90

→ 2x - 28 = 90

→ 2x = 90 + 28

→ 2x = 118

→ x = 59°

Then find value of y

Angle y, x, 90° lies on a straight line which sum ups to 180°

→ x + y + 90° = 180°

→ 59 + y + 90° = 180°

→ y = 180° - 149°

→ y = 31°

Answer: 3x+4-5x

Step-by-step explanation:

3x+4=5x

3x+4-5x=0

Answer:

ans : general term = (2n +8)/(4^n) * (-1)^n

Answer:  [tex]\frac{28}{96}[/tex]

Step-by-step explanation:

       We will figure out what needs to happen to the denominator to get to 96, then we will do the same to the numerator.

               [tex]\displaystyle \frac{7}{24}=\frac{?*x}{24*x=96} =\frac{7*4}{24*4}=\frac{28}{96}\\\\ \\\text \\\;\;\;\;\;\; \frac{28}{96}[/tex]

Answer:

28/96

Step-by-step explanation:

Equalize the equivalent fractions according to the desired denominator and solve for the numerator "x"

[tex]\frac{7}{24} =\frac{x}{96}[/tex]

[tex]x=\frac{(96)(7)}{24} =\frac{672}{24} =28[/tex]

The equivalent fraction is

[tex]\frac{28}{96}[/tex]

Hope this helps

Answer:

$21.44 or answer D

Step-by-step explanation:

68.99-57=11.99

37.80 x 25/100=9.45

9.45+11.99=21.44

hope this helps you

Step-by-step explanation:

1) X-intercept: -2; -4;

Y-intercept: 0.533;

2) asymptotes: x= -3 and x= -5;

3) if x→ -5(-0), then y→+∞;

if x→ -5(+0), then y→-∞;

if x→ -3(-0), then y→-∞;

if x→ -3(+0), then y→+∞;

Answer:

B

Step-by-step explanation:

3kx + 2kx = 10 ← collect like terms on left side

5kx = 10 ( isolate x by dividing both sides by 5k )

[tex]\frac{5kx}{5k}[/tex] = [tex]\frac{10}{5k}[/tex]

x = [tex]\frac{2}{k}[/tex]

Answer:

x = 65 , y = 64

Step-by-step explanation:

y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is

y - 16 + 2y + 4 = 180

3y - 12 = 180 ( add 12 to both sides )

3y = 192 ( divide both sides by 3 )

y = 64

then

2y + 4 = 2(64) + 4 = 128 + 4 = 132

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

2y + 4 is an exterior angle of the triangle , then

x + 67 = 132 ( subtract 67 from both sides )

x = 65

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{-b + 8c}[/tex]

[tex]\huge\textbf{Simplifying: }[/tex]

[tex]\mathsf{-b + 8c}[/tex]

[tex]\mathsf{= -2 + 8(-2)}[/tex]

[tex]\mathsf{= -2 - 16}[/tex]

[tex]\mathsf{= -18}[/tex]

[tex]\huge\textbf{Therefore, the answer should be: }[/tex]

[tex]\huge\boxed{\frak{-18}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Perimeter of the shape = 27.15 units.

Area = 32.3 units²

The Perimeter of the shape = 1/2(perimeter of circle) + hypotenuse and height of the triangle

Perimeter = = 1/2(2π(5/2)) + [√(9² + 5²)] + 9 = 7.85 + 10.3 + 9 = 27.15 units.

Area = 1/2(area of circle) + area of triangle = 1/2(πr²) + 1/2(bh)

Area = 1/2(π2.5²) + 1/2(5)(9)

Area = 9.8 + 22.5

Area = 32.3 units²

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Answer:

z = 3[tex]\sqrt{13}[/tex]

Step-by-step explanation:

According to Euclidian theorem we can find the measure of z using the following equation:

z^2 = 9*(9+4)

z^2 = 9*13 multiply

z^2 = 117 find the root of both sides

z = 3[tex]\sqrt{13}[/tex]

Step-by-step explanation:

A number that is negative is less than 0, so

[tex]3x + 6 < 0[/tex]

[tex]3x < - 6[/tex]

[tex]x < - 2[/tex]

So this function is negative, when x is less than -2

Hi !

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

g(x)≤0 for x∈ ]-∞;-2]

Have a nice day

Answer:

1/18

Step-by-step explanation:

So to find the probability of two independent events, you simply multiply the two probabilities. So the probability of rolling any individual number is 1/6 because there's 6 possibilities, and there are no duplicate numbers. So the probability of rolling a 2 the first time is 1/6. The probability of rolling a number greater than 4 has a probability of 2/6, since the numbers 5 and 6 are both greater than 4. This can be further simplified to 1/3. Multiplying these two probabilities gives you 1/18

The rational number among all the answer choices is; Pi + √16.

A rational number by definition, is one that can be represented as the quotient a/b of two integers in which case b ≠ 0.

On this note, it follows that since the constant pi is; 22/7, the number pi + √16 can be represented as a rational number as follows;

22/7 + 4 = 50/7.

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Answer:

The answer is b.

Step-by-step explanation:

goodluck

The prove that the angle ABCD is said to be a parallelogram that shows both pairs of opposite sides as parallel figure is given below.

The four points in the shape above are : A, B, C, D.

Where

A = (-2,-4)

B = (1,2)

C = (2,10)

D = (-1,4)

We place or sit vector AB with vector DC and vector AD  with vector BC

and so we find and place their coordinates.

vector AB (1-(-2), 2-(-4))

vector DC (2-(-1),10-4)

vector AD (-1-(-2), 4-(-4))

vector BC (2-1,10-2)

So we obtained:

vector AB (3,6)

vector DC (3,6)

vector AD (1,8)

vector BC  (1,8)

Next step is to calculate for the lengths :

AB=   [tex]\sqrt{3^{2} + 6^{2} }[/tex]  DC= [tex]\sqrt{3^{2} + 6^{2} }[/tex]

Thus, AB = DC

AD = [tex]\sqrt{1^{2} + 8^{2} }[/tex]     BC =[tex]\sqrt{1^{2} + 8^{2} }[/tex]

Hence one can say that  AD is equal to  BC.

Therefore, angle ABCD IS known to be a parallelogram .

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thanks

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The frequency table for grouped data using four classes is shown in the picture.

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

We have:

A small startup company wishes to know how many hours, per week.

The number of hours for each employee are shown below:

1,2,18,4,13,18,12,3,17,10,3,12,15,2 15,8,5,17,18,18

Make the group of 1-5, 6-10, 11-15, and 16-20

And count the numbers lies between the interval.

Thus, the frequency table for grouped data using four classes is shown in the picture.

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Answer:

2

Step-by-step explanation:

44 = 2² × 11

40 = 2³ × 5

50 = 2 × 5²

GCF = product of common factors with lower exponent

GCF = 2

The greatest common factor of 44, 40, and 50 will be;

⇒ 2

What is Greatest common factors?

The highest number that divides exactly into two more numbers, is called Greatest common factors.

Given that;

The numbers are,

⇒ 44, 40 and 50.

Now,

The factors are find as;

⇒ 44 = 2 × 2 × 11

⇒ 40 = 2 × 2 × 2 × 5

⇒ 50 = 2 × 5 × 5

Hence, The greatest common factor of 44, 40, and 50 will be;

⇒ 2

Thus, The greatest common factor of 44, 40, and 50 will be;

⇒ 2

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The slope intercept equation is 3y+ 2x = -4.5,

The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

let the two points from the graph is (4, -4) and (-2, 0)

then

m= 4/ -6= -2/3

and the intercept is 1.6 as the line intersects the y- axis.

So, the slope intercept is

y= -2/3x - 1.6

3y= -2x - 4.5

3y+ 2x = -4.5

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Answer:

Domain : [-5,5]

Range : [-3,4}

Step-by-step explanation:

By definition:

Domain is the set of all inputs for which the given function is defined

Range is the set of all outputs

Using translation concepts, the equation of F(x) is given as follows:

-3(x + 1)² - 4.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The effect of the transformations on G(x) = x² is given as follows:

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The  two possible decisions that the graduate student  is that:

If the test is not inside the critical region, the graduate student cannot reject the null hypothesis.

Suppose that the test statistic is 3.29 and the boundary to the critical region is 2.576. The test statistic is outside the critical region. So:

The test statistic is not in the critical region.

2. Therefore, the graduate student cannot reject the null hyopthesis,

3. and she cannot conclude that the level of contrast between eye color and skin tone affects how feminine a face is considered.

Note that a failure to reject the null hypothesis in any kind of significance test does not imply that the null hypothesis holds true. It only imply that the person was not able to give enough evidence for the alternative hypothesis.

See options for the last question

Options for the last section...

1. The test statistic is ____not in/in_____ the critical region.

2. Therefore, the graduate student _____can/cannot_____ reject the null hyopthesis,

3. and she ______can/cannot_______ conclude that the level of contrast between eye color and skin tone affects how feminine a face is considered

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Step-by-step explanation:

for 1st triangle on the left

sin(x) = 24/38

x = inverse sin(24/38)

x = 39.1667 deg

for triangle 2

cos(x) = 20/52

x = inverse cos (20/52)

x = 67.38 deg

Answer:

g(x) = x + 2 ⇒ 3rd answer

The value of P is 50 degree , Option D is the correct answer.

According to the exterior angle property the measure of exterior angle is equal to the sum of opposite interior angles.

In the given figure it can be seen that one of the exterior angle is 90 degree ,

which is making a supplementary angle with the interior angle corresponding to it , angle B in the figure

Therefore the interior angle B is 90 degree ,

The value of angle C = p degree

To determine the value of angle C

The exterior angle next to angle A = 140 degree

By the exterior angle property

140 = 90 +p

p = 50 degree

The value of P is 50 degree , Option D is the correct answer.

The complete question is attached as a image

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