help pls
4 1/5 of 8 2/10 is what number ?

Answer:

Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points

x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation

y=(x+1)(x-4)

=x^2-3x-4

a is 1,b is -3 and c is -4

x= -(-3)/2(1)

=1.5

and y=x^2-3x-4

=1.5^2-3(1.5)-4

= -6.25

therefore the axis of symmetry is (1.5,-6.25)

I hope this helps

Answer:

[tex]a\cdot b\cdot c=\frac{15}{4}[/tex]

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

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

Substitute the values

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

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

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

[tex]0+2=a(-1+3)^2=4a[/tex]

[tex]a=2/4=1/2[/tex]

Now, using the value of a

[tex]y+2=1/2(x+3)^2=1/2(x^2+6x+9)[/tex]

[tex]y+2=\frac{1}{2}x^2+3x+\frac{9}{2}[/tex]

[tex]y=\frac{1}{2}x^2+3x+\frac{9}{2}-2[/tex]

[tex]y=\frac{1}{2}x^2+3x+\frac{9-4}{2}[/tex]

[tex]y=\frac{1}{2}x^2+3x+\frac{5}{2}[/tex]

By comparing with

[tex]y=ax^2+bx+c[/tex]

We get

[tex]a=\frac{1}{2}, b=3, c=5/2[/tex]

[tex]a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}[/tex]

[tex]a\cdot b\cdot c=\frac{15}{4}[/tex]

the axis of symmetry is x=2

Answer:

185 is the square root of 34225

Step-by-step explanation:

hope you understood!!

Answer:

yes N = natural number it's correct what I need to ask

Answer:

72 ml

Step-by-step explanation:

Let

x = amount of water that should be added

45% acid solution = 45/100 = 0.45

25% acid solution = 25/100 = 0.25

The equation is

90(0.45) = 0.25(x + 90)

40.5 = 0.25x + 22.5

40.5 - 22.5 = 0.25x

18 = 0.25x

Divide both sides by 0.25

x = 18/0.25

= 72

x = 72 ml

The rate of change of the amount earned with respect to hours worked for this function is D. 13 dollars per hour.

The rate of change for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :

Point a = (5, 65) = (x₂, y₂)

Point b = (2, 26) = (x₁, y₁)

Calculating the gradient or slope :

Rate of change = (y₂ - y₁) / (x₂ - x₁)

Rate of change = (65 - 26) / (5 - 2)

Rate of change = 39 / 3

Rate= 13 dollars per hour

Learn more about rate of change on:

https://brainly.com/question/8728504

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Complete question

The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour

Answer:

18 units.

Step-by-step explanation:

A classic right triangle is the 3, 4, 5 triangle. Essentially, 3^2 + 4^2 = 5^2 . Otherwise known as, 9 +16 = 25. With that said, there are two of those that we can make by drawing horizontal lines along the grid. We also know from counting the two vertical sides are each 4 units. To summarize, two sides are 5 units and two are 4 units. We add them together, 5 + 5 + 4 + 4 = 18

Answer:

7

Step-by-step explanation:

The part timer works 5 hours a day

the difference between the part timer and fill time is 2

5+2=7

Answer:

l = 14.6 m

b = 53.4 m

Step-by-step explanation:

Let breadth be x

Let lenght be 4x-5

so,

perimeter = 2(l+b)

136 = 2(4x-5+x)

or, 136 = 2(5x-5)

or, 136 = 10x - 10

or, 136 + 10 = 10x

or, 146 = 10x

or, x = 146/10

so, x = 14.6 m

so, breadth(x) = 14.6

so, lenght = 4x - 5

= (4×14.6)-5r

= 53.4m

Answer:

Measure of the unknown angle is 21°.

Step-by-step explanation:

In the given question,

Measure of opposite side and the measure of hypotenuse have been given.

Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.

[tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

      [tex]=\frac{13}{36}[/tex]

      [tex]=0.36111[/tex]

[tex]\theta \approx \text{sin}^{-1}(0.36111)[/tex]

[tex]\theta \approx 21.17[/tex]

[tex]\theta \approx 21^{\circ}[/tex]

Therefore, measure of the unknown angle is 21°.

Answer:

Step-by-step explanation:

The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)

Answer:

[tex]4x - 20 = 4[/tex]

Step-by-step explanation:

Let the missing number be x

Quadruple means 4 times

So According to the question,

4x - 20 = 4 is your answer

Hope this helps

Answer:

B: 8

Step-by-step explanation:

we are given two numbers which we can use to help solve this problem

A: the number of hours the dishwasher is being used

B: how long it takes the dishwasher to do each load

using this info we can find how many loads were washed in 10 hours by dividing the time it takes for each load by how many hours were spent.

10 / 1.25 = 8

Answer:

triangle EFD

Step-by-step explanation:

Answer:

Step-by-step explanation:

The trick here is that the equation factors.

y= 2x^2 + 11x + 5

y = (2x + 1)(x + 5)

So either

2x + 1 = 0         subtract 1 from both sides      

2x = - 1             divide by 2  

2x = -1/2

or

x + 5 = 0          Subtract 5 from both sides

x = - 5

Answer: B and D

Part A

The function y = -16x^2 + c represents the height of the ball at time x

We're told the building is 64 ft tall (roughly 6 stories), so c = 64

That means the function updates to y = -16x^2 + 64

The graph is shown below. Some points of interest on the graph are

Plot these points, and others if you wish, and draw a parabolic curve through them to complete the graph. To generate any (x,y) point, you simply plug in a given value for x to find its corresponding y value.

For example, if you plugged in say x = 1, then,

y = -16x^2 + 64

y = -16*1^2 + 64

y = -16 + 64

y = 48

Do the same for other x values to get the points mentioned earlier. The more points you plot, the more accurate the curve.

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

Part B

From the graph made in part A, we see that the parabola crosses the x axis at (2,0). This is the x intercept marked as point E in the diagram. This is when the ball hits the ground because y = 0, aka the height is 0.

The ball hits the ground at 2 seconds  (ie the ball is in the air for 2 seconds).

There's not much in terms of steps or explanation here because much of that was already done.

An exponential decay function goes down to the right, like in the picture attached.

An exponential function follows this format: [tex]y=ab^x[/tex], where b is less than 1 and more than 0. b is more than 0 but less than 1 in function A.

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Step-by-step explanation:

Answer:

E. is not a polynomial

Step-by-step explanation:

Because the degree of x is 2/5 which is not a polynomial.

Answer:

hmmm....

I don't think any of them are ????

[tex]\sqrt{2} = 2 ^{1/2}[/tex] that is a exponent that is a fraction ......

it appears that all the answers have fractional exponents, negative exponents, or divide by a variable??

Step-by-step explanation:

Polynomials cannot contain division by a variable.

For example, 2y2+7x/4 is a polynomial because 4 is not a variable. However, 2y2+7x/(1+x) is not a polynomial as it contains division by a variable.

Polynomials cannot contain negative exponents.

You cannot have 2y-2+7x-4. Negative exponents are a form of division by a variable (to make the negative exponent positive, you have to divide.) For example, x-3 is the same thing as 1/x3.

Polynomials cannot contain fractional exponents.

Terms containing fractional exponents (such as 3x+2y1/2-1) are not considered polynomials.

Answer:

7) 12,000

8) 0.0004253

9) -11/6 < x < -2/3

10) all possible numbers

Answer:

1. Angle Addition Postulate/Theorem

2. 90°

3. m<AOC; Vertical Angles

4. 90°; 110°

5. 20°

Step-by-step explanation:

1. m<DOB = m<DOE + m<BOE (Reason: Angle Addition Postulate/Theorem)

2. m<DOB = 90° + x (Reason: Substitution)

Note: m<DOE is a right angle.

3. m<DOB = m<AOC (Reasons: Vertical Angles)

4. 90° + x = 110° (Reasons: Substitution)

5. x = 20° (Reasons: Algebra)

Note how we got 20° by applying algebra:

90° + x = 110°

Subtract 90° from both sides

90° + x - 90° = 110° - 90°

x = 20°

Answer:

x = 23

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan ? = 3/7

Taking the inverse tan of each side

tan ^-1 ( tan ?) = tan ^-1 (3/7)

?=23.19859

To the nearest degree

x = 23

Answer:

b) quadratic

Step-by-step explanation:

Answer:

b. quadratic

Step-by-step explanation:

it makes the shape of a parabola

hope this helps

Answer:

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Copy dot flip

8/9 * 3/2

Rewriting

8/2 * 3/9

4 * 1/3

4/3

Answer:

c

Step-by-step explanation:

107 x 3.778 x 125/100 = 4.735 x 1-7