Over which interval is the graph of f(x)= -x^2 +3x+ 8 increasingly

Answer:

3/20

Step-by-step explanation:

First simplify the fractions

2/10   Divide top and bottom by 2

  = 1/5

9/12  Divide top and bottom by 3

= 3/4

2/10 * 9/12

1/5*3/4

Multiply the top

1*3 = 3

Multiply the bottom

5*4=20

3/20

Answer:

equilateral

Step-by-step explanation:

If all 3 sides of a triangle are the same length, then it is an equilateral triangle.

scalene: no sides the same length

isosceles: 2 sides the same length

equilateral: 3 sides the same length

U ARE  GOING TO MULTIPLY THEM ALL TOGETHER

Answer:

Step-by-step explanation:

X=2

Answer:

C. [tex](x-3)^2+(y-1)^2=2^2[/tex]

Step-by-step explanation:

The standard equation of a circle, given the radius r units and center (h,k) is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

From the question, we have the center of the circle to be (3,1) and the radius is 2 units.

We substitute the center and radius of the circle into the equation to get:

[tex](x-3)^2+(y-1)^2=2^2[/tex]

The correct answer is C

Answer:

∠3 = 60°

Step-by-step explanation:

Since g and h are parallel lines then

∠1 and ∠2 are same side interior angles and are supplementary, hence

4x + 36 +3x - 3 = 180

7x + 33 = 180 ( subtract 33 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21

Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°

∠ 2 and ∠3 are alternate angles and congruent, hence

∠3 = 60°

The measure of angle 3 is 60 degrees, the correct option is B.

Given

In the diagram, g is parallel to h.

The measurement of angle 1 is (4x +36).

The measurement of angle 2 is (3x-3).

Interior angles;

The angles that lie in the area enclosed between two parallel lines that are intersected by a transversal are also called interior angles.

∠1 and ∠2 are the same side interior angles and are supplementary then the sum of both angles is equal to 180 degrees.

[tex]\rm 4x+36+3x-3=180\\\\7x+33=180\\\\7x=180-33\\\\7x=147\\\\x=\dfrac{147}{7}\\\\x=21[/tex]

The measure of the angle 2 is = 3(21)- 3= 63 - 6 = 60 degrees.

Hence, Angle 2 and ∠3 are alternate angles and congruent then the measure of angle  3 is 60 degrees.

To know more about Parallel lines click the link given below.

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Answer:

8x2-4x+72. good luck.

Not enough information (attach the statements).

[tex]\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-4-4}{6-(-4)}\implies \cfrac{-8}{6+4}\implies \cfrac{-8}{10}\implies -\cfrac{4}{5}[/tex]

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-\cfrac{4}{5}[x-(-4)]\implies y-4=-\cfrac{4}{5}(x+4) \\\\\\ y-4=-\cfrac{4}{5}x-\cfrac{16}{5}\implies y=-\cfrac{4}{5}x-\cfrac{16}{5}+4\implies y=-\cfrac{4}{5}x+\cfrac{4}{5}[/tex]

Answer:

[tex](-\frac{7}{6} )[/tex]

Step-by-step explanation:

From the question the emerald was located at a depth which is between -1/2 and -1 2/3 meters

This statement can be written as

[tex](-1\frac{2}{3}) -(-\frac{1}{2} )[/tex]

To get the depth, you find the depth of the emerald location, you find difference between the two mentioned depths

[tex]-(1\frac{2}{3} )-(-\frac{1}{2} )\\\\[/tex]

Change first term to improper fraction

[tex]=-(\frac{5}{3} )-(-\frac{1}{2} )\\\\[/tex]

Find the LCM to solve the operation the involves the fractions.The Least common multiple here is 6 i.e 3*2

[tex]=(-\frac{5}{3} )-(-\frac{1}{2})\\[/tex]

[tex]=\frac{-5}{3} +\frac{1}{2} =\frac{-10+3}{6} =\frac{-7}{6}[/tex]

The number that could represent the depth at which the emerald was located is

[tex]=\frac{-7}{6}[/tex]

Answer: 13.4 meters by 6.1 meters

Step-by-step explanation: Applying the scale to the given measurements gives us: 13.4 meters long and 6.1 meters wide

Answer:

fog(x)=[tex]x^2+8[/tex]

Step-by-step explanation:

Here we are given two functions

f(x) = x+2

g(x)=[tex]x^2+6[/tex]

We are required to find fog(x)

fog(x) is a composite function.

fog(x) = f(g(x))

g(x) = [tex]x^2+6[/tex]

f(g(x)) = f( [tex]x^2+6[/tex] )

f(x)= x+2

Hence we replace x in f(x) with [tex]x^2+6[/tex]

f(g(x))=([tex]x^2+6[/tex])+2

f(g(x))=[tex]x^2+8[/tex]

Hence

fog(x) = [tex]x^2+8[/tex])

Answer:

5 6 7 is the correct answer

Step-by-step explanation:

The possible lengths of the shortest straw are 5 inches, 6 inches, 7 inches and 8 inches

The lengths of the two straws are given as: 9 inches and 12 inches

Represent the length of the shortest straw with x.

So, we have the following inequality

[tex]x + 9 > 12[/tex]

Subtract 9 from both sides

[tex]x > 3[/tex]

This means the length of the shortest straw is greater than 3 inches

Hence, the possible lengths are 5 inches, 6 inches, 7 inches and 8 inches

Read more about triangles at:

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Answer:$35.40

Step-by-step explanation:

1. $4.50 multiplied by 4 is $18

2. $2.90 multiplied by 6 is $17.4

3. $18+$17.4=$35.40

a. Practically speaking, you compute the differential in much the same way you compute a derivative via implicit differentiation, but you omit the variable with respect to which you are differentiating.

[tex]y=\cos x\implies\boxed{\mathrm dy=-\sin x\,\mathrm dx}[/tex]

Aside: Compare this to what happens when you differentiate both sides with respect to some other independent parameter, say [tex]t[/tex]:

[tex]\dfrac{\mathrm dy}{\mathrm dt}=-\sin x\dfrac{\mathrm dx}{\mathrm dt}[/tex]

b. This is just a matter of plugging in [tex]x=\dfrac\pi3[/tex] and [tex]\mathrm dx=0.1[/tex].

[tex]\boxed{\mathrm dy\approx-0.087}[/tex]

The differential dy for y = cos(x) is evaluated by finding the derivative of y which is -sin(x), then multiplying by dx. For x = π/3 and dx = 0.1, the calculated differential dy is approximately -0.0866 when rounded to three decimal places.

The differential dy of a function y with respect to x is given by the derivative of y with respect to x, multiplied by dx. For the function, y = cos(x), the derivative of y is -sin(x), hence dy = -sin(x)dx.

To evaluate dy for x = π/3 and dx = 0.1, we substitute x into -sin(x) and multiply by dx. This results in dy = -sin(π/3) × 0.1, which simplifies to dy = -0.1 √3/2. Rounding to three decimal places, dy ≈ -0.0866.

The required solutions to the equation (x - 2)(x + 10) = 13 are x = -11 and x = 3.

Simplification involves using rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

We can solve the equation (x - 2)(x + 10) = 13 using the following steps:

Therefore, the solutions to the equation (x - 2)(x + 10) = 13 are x = -11 and x = 3.

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The formula for finding the midpoint of a line segment is[tex](\frac{x1+x2}{2}, \frac{y1+y2}{2})[/tex].  Plug in and solve:

[tex](\frac{2-3}{2} , \frac{3-2}{2})[/tex]

(-1/2, 1/2)

(-0.5, 0.5)

Hope this helps!!

The midpoint of the segment is (-0.5, 0.5)

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Given points: (2, 3) and (-3.-2).

The formula for midpoint is

(x1+x2/2, y1+y2/2)

= (2-3/2, 3-2/2)

=(-1/2, 1/2)

= (-0.5, 0.5)

Hence, the midpoints of the segment is  (-0.5, 0.5).

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Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

In this case:

m = -5

b = -8

so...

y = -5x - 8

Hope this helped!

Answer:

B

Step-by-step explanation:

Slope-intercept form of a line:

y = mx + b

m = slope

b = y-intercept

The question asks for a line w/ a slope of -5 and y-int of -8.

B would be the correct choice as in y = -5x - 8,

m (slope) = -5 and

b (y-int) = -8.

Answer:

25

Step-by-step explanation:

Is means equals and of means multiply

16 = 64% * W

Change to decimal form

16 = .64 * W

Divide each side by .64

16/.64 = .64W/.64

25 = W

Answer:

25

Step-by-step explanation:

We can model this question with:

16 = 0.64x

x represents "what number."

0.64x = 16

Divide 0.64 from both sides

0.64x ÷ 0.64 = 16 ÷ 0.64

16 ÷ 0.64 = 25.

Therefore, 16 is 64% of 25.

I agree. It reflects A G A I N

"Reflect across the x-axis and then reflect across the y-axis" will result in an image that maps onto itself. The correct option is B.

Transformations in mathematics refer to the process of changing the position, size, or shape of a geometric figure in a coordinate plane.

When a figure is reflected across the x-axis, the y-coordinate of each point on the figure is multiplied by -1, while the x-coordinate remains unchanged.

Similarly, when a figure is reflected across the y-axis, the x-coordinate of each point on the figure is multiplied by -1, while the y-coordinate remains unchanged.

When we reflect a figure across the x-axis and then across the y-axis, we essentially multiply the x-coordinate of each point by -1 and then the y-coordinate by -1.

This corresponds to a 180-degree rotation around the origin. Because a 180-degree rotation maps a figure onto itself, this transformation will produce an image that also maps onto itself.

Thus, the correct option is B.

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Answer:

(c-3) (4n)

Step-by-step explanation:

5n(c - 3) - n(C - 3) =

Factor out (c-3) from each term

(c-3) (5n-n)

Simplify the 2nd term

(c-3) (4n)

Answer:

The volume is 113.04 cubic inches

Step-by-step explanation:

We are given:

Radius = r = 3 inches

As we know the formula for finding the volume of sphere is:

[tex]V=\frac{4}{3} \pi r^{3} \\Putting\ values\ of\ \pi \ and\ r\\V = \frac{4}{3} * 3.14 * (3)^3\\= \frac{12.56}{3} * 27\\= \frac{339.12}{3}\\ =113.04\ cubic\ inches[/tex]

The volume is 113.04 cubic inches ..

Answer:

LR is 12

Step-by-step explanation:

LP is hypotenuse and PR is base so LR is perpendicular

formula to calculate perpendicular is

p^2=H^2 -b^2

p^2=15^2-9^2

p^2=225-81

p^2=144

p=12(root of 144 is 12)

Answer:

it would be 24 cuz 15 + 9 = 24

Answer:

[tex]f(x)=(x-3)^{2}(x-2)(x-1)[/tex]

Step-by-step explanation:

we know that

The roots (or x-intercepts) of the equation are

x=1 -----> with multiplicity 1

x=2 -----> with multiplicity 1

x=3 -----> with multiplicity 2 (because is a turning point)

so

The factors are

[tex](x-1), (x-2), (x-3),(x-3)[/tex]

The equation is equal to

[tex]f(x)=(x-3)(x-3)(x-2)(x-1)\\ \\f(x)=(x-3)^{2}(x-2)(x-1)[/tex]

To write a quadratic equation in factored form, find two binomials that when multiplied together yield the original quadratic. Factoring is essential in understanding the roots and the shape of a parabolic graph. For more complex quadratics, techniques like completing the square might be required.

When we are looking to write the equation of a graph in factored form, we are typically dealing with a polynomial function, and specifically when the graph is of a parabola, we are working with a quadratic equation. Factoring a quadratic equation involves finding two binomials that when multiplied together give us the original quadratic. For example, if we have a graph of a quadratic with its roots at x = p and x = q, the factored form would be y = a(x - p)(x - q), where a represents the leading coefficient.

If given an equation like 6x² + xy - y² - 17x - y + 12 = 0, it can be factored into two linear terms, which represents the intersection of two lines. In cases where completing the square is needed, such as x² - ( ) x = -() y, we add to each side (half the coefficient of x)² to form a perfect square on the left-hand side, leading us to an equation of the form (x − A)² = -4a(y − B).

Learning about graphing polynomials provides insights into how the constants in an equation affect the shape of the curve. By adjusting coefficients and analyzing the individual terms, we can understand how these terms combine to produce the overall graph of the polynomial.

Answer:

4 times 8 is 32 then 8 times 2 is 16 then add them together

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

48 miles

Step-by-step explanation:

4 times 8 equals 32 plus 8 times 2 equals 16 add them up equals 48

Answer:

A

Step-by-step explanation:

it would equal 34 nd on the bottom would be 32 so AAAA

(3,7) ordered pair is the solution to the system.

A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.

Given

2x+4y = 34

6x +2y = 32

x = 3

[tex]2*3[/tex] + 4y = 34

[tex]6*3[/tex] + 2y = 32

18 + 2y = 32

y = 7

(3,7) ordered pair is the solution to the system.

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well, Matti's house is a triangular prism, and to get the volume of it, we simply get the area of the triangle upfront and multiply by its length of 15.

[tex]\bf \stackrel{\stackrel{\textit{area of }}{\textit{triangular front}}}{\cfrac{1}{2}(7)(7)}\times \stackrel{\textit{length}}{15}\implies \cfrac{49}{2}\cdot 15\implies 367.5~ft^3[/tex]

Answer:

Option B.

Step-by-step explanation:

Volume of a green house in the backyard which in the shape of triangular prism V = (Area of base)×(Height)

In the figure attached,

Height of the triangular base = 7 ft

Base = 7 ft

Area of the triangle = [tex]\frac{1}{2}(7)(7)[/tex]

Area = [tex]\frac{49}{2}=24.5[/tex] ft²

Therefore, volume of the prism = 24.5 × 15

                                                    = 367.5 ft²

Option B. is the correct option.

Answer:

C

Step-by-step explanation:

Because none of the X coordinates are the same.

Answer:

Is an scalene obtuse triangle

Step-by-step explanation:

step 1

Find the type of triangle by the measure of the interior angles

we know that

If applying the Pythagoras Theorem

[tex]c^{2}=a^{2}+b^{2}[/tex] ----> we have a right triangle

[tex]c^{2} > a^{2}+b^{2}[/tex] ----> we have an obtuse triangle

[tex]c^{2}< a^{2}+b^{2}[/tex] ----> we have an acute triangle

where

c is the greater side

we have

[tex]c=\sqrt{19}\ units[/tex]

[tex]a=2\ units[/tex]

[tex]b=\sqrt{12}\ units[/tex]

substitute

[tex]c^{2}=(\sqrt{19})^{2}=19[/tex]

[tex]a^{2}+b^{2}=(2)^{2}+(\sqrt{12})^{2}=16[/tex]

so

[tex]19 > 16[/tex] -----> [tex]c^{2} > a^{2}+b^{2}[/tex]

we have an obtuse triangle

step 2

Find the type of triangle by the measure of the sides

we have that

The measure of its three sides is different

therefore

Is an scalene triangle