On a coordinate plane, a curved line with a minimum value of (0, 1) and a maximum value of (negative 1.3, 2.2), crosses the x-axis at (negative 2.2, 0) and crosses the y-axis at (0, 1).
Which statement correctly identifies a local minimum of the graphed function?

Over the interval [–3, –2], the local minimum is 0.
Over the interval [–2, –1], the local minimum is 2.2.
Over the interval [–1, 0.5], the local minimum is 1.
Over the interval [0.5, 2], the local minimum is 4.

Answer:

52.6 mm

Step-by-step explanation:

split this figure and form one square and semi circle

for semicircle

radius = 4mm

find diameter

radius = diameter /2

4*2 = diameter

8 mm = diameter

now find perimeter of square

POS = 4l

=4*8

=32 mm

perimeter of semicircle= πr + 2r

=3.14^4 + 2*4

=12.56 + 8

=20.56 mm

area of the figure = perimeter of square + perimeter of semicircle

=32 + 20.56 mm

=52.56 mm

=52.6 mm

split ur figure as shown below

Answer:

28.6 (by the assumption that 4 is the radius)

Step-by-step explanation:

4 is the radius.

Circumference of a circle is  πd or  2πr

But its a semi circle so our equation will be  2πr/2 + d

So subsitute, 2* π*4/2 + 8

=8 π/2 + 8

=4 π + 8

=20.6

This is only the circumference of the semi-circle

Now for the square, perimeter is equal to 4*S

so from the equation above we know that the diameter is 8(d=2r). The diameter is also one side of the square. Since squares have all sides equal, 4*8= 32

Now add

32+20.6

52.6

Round

52.6

All this is on the assumption that 4 is the radius.

Answer:

x= -2

y= -2

Step-by-step explanation:

y = 8x + 14

y = x

Now by subtraction of these two equation,

So 0 = 7x + 14

x = -2

y = -2

Answer:

[tex] x \approx \: \boxed{49.471}[/tex]

Step-by-step explanation:

[tex] - 5 + 2In(3x) = 5 \\ 2In(3x) = 5 + 5 \\ 2In(3x) = 10 \\ In(3x) = \frac{10}{2} \\ In(3x) = 5 \\ \implies \: 3x = {e}^{5} \\ \implies \: x = \frac{ {e}^{5} }{3} \\ x = \frac{148.41316}{3} \\ x = 49.4710533 \\ x \approx \: \boxed{49.471}[/tex]

Answer:

x= e^ 5 / 3 OR 49.471

Step-by-step explanation:

-5=2In (3x)=5

determine the defined range

-5+2In (3x) = 5, x>0

move the constant to the right- move the five to the right and change the sign

2In (3x)= 5+5

calculate- add them together

2In (3x)=10

divide both sides by 2

In (3x)=5

covert into exponential form ( x=e^5)

3x= e^5

divide both sides by 3

x=e^5/3 , x> 0

(check if the solution is in the defined range) which is the answer

Answer:

The equation of the line is [tex]y = 2\cdot x + 3[/tex].

Step-by-step explanation:

The data of the table represents a line, also known as a linear function or a first order polynomial if and only if the following property is satisfied:

[tex]\frac{y_{i+1}-y_{i}}{x_{i+1}-x_{i}} = m, m \in \mathbb{R}[/tex] (1)

Now we proceed to check if the table represents a line instead of another kind of function:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{7-5}{2-1} = 2[/tex]

[tex]\frac{y_{3}-y_{2}}{x_{3}-x_{2}} = \frac{9-7}{3-2} = 2[/tex]

[tex]\frac{y_{4}-y_{3}}{x_{4}-x_{3}} = \frac{13-9}{5-3} = 2[/tex]

[tex]\frac{y_{5}-y_{4}}{x_{5}-x_{4}} = \frac{15-13}{6-5} = 2[/tex]

Hence, the data represents a line. From Geometry we know that the equation of the line can be obtained by knowing two distinct points. The formula of the line is described below:

[tex]y = m\cdot x + b[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m[/tex] - Slope.

[tex]b[/tex] - y-Intercept.

If we know that [tex](x_{1}, y_{1}) = (1, 5)[/tex] and [tex](x_{2}, y_{2}) = (6, 15)[/tex], then we have the following system of linear equations:

[tex]m + b = 5[/tex] (1)

[tex]6\cdot m + b = 15[/tex] (2)

The solution of the system of linear equations is: [tex]m = 2[/tex], [tex]b = 3[/tex].

The equation of the line is [tex]y = 2\cdot x + 3[/tex].

Answer:

the answer is 1

Step-by-step explanation:

2+(-1)

2-1

1

+ and - always result in - so +(-1) is -1 and 2-1 is 1.

Answer:

1

Step-by-step explanation:

Negative 1 is used as a minus sign. I canceled the plus and now the equation is 2-1

Answer:

28 answer write ✍️ now ok

Answer:

x = -7 , x = 2

Step-by-step explanation:

[tex]x^2 + 5x -1 4= 0\\\\x^2 + 7x -2x - 14 = 0\\\\x(x + 7) -2(x + 7) = 0\\\\(x+7)(x-2) = 0\\\\x+ 7 = 0 , \ x - 2 = 0 \\\\x = - 7 , \ x = 2[/tex]

Answer:

x = - 7, x = 2

Step-by-step explanation:

Solve by factoring , that is

x² + 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

(x + 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

We can say 85 because we will spin it 85 times and it can happen we will not C

Not sure at all ....

Answer:

L

Step-by-step explanation:

Here, we want to get the circle center

The diameter is a chord that passes through the center of the circle

looking at the given diagram, we can see chords SM and MN

Between this two, we can see that it is SM that passes through the center

Looking at the diagram, we can conclude that L is the circle center where the diameter SM passes

Answer:

-0.8

Step-by-step explanation:

Given that :

Mean of test score, m = 72

Standard deviation of test score, σ = 5

Trainee's score, x = 68

Since the distribution is Symmetric ;

The Zscore Cann be calculated thus :

Zscore = (x - mean) / standard deviation

Zscore = (68 - 72) / 5

Zscore = - 4 / 5

Zscore = - 0.8

Answer:

Answer choice C) 3a-3

Step-by-step explanation:

Your perimeter is of (10a-6). The first step would be multiply 2a by 2 since you have to sides. Which would give you to 4a. Next you will have to subtract 4a from (10a-6). This would give you 6a-6. Finally divide by two and you will get 3a-3.

Answer:

47.1 > .00105

Step-by-step explanation:

Given :

5.01×10-3 ? 0.00105

Now,

5.01×10-3 ? 0.00105

50.1-3?0.00105

47.1?0.00105

From the above equation, we can say that 47.1  is greater than 0.00105

Therefore, 47.1 > .00105

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

3^2+1^2=c^2

9+1=c^2

c^2=10

c= [tex]\sqrt{10}[/tex]

Answer:

30

Step-by-step explanation:

you need to multiply its length by its with

Answer:

185 is divisible by 5.

Step-by-step explanation:

Anything that ends in a 0 or 5 can be divisible by 5.

Answer:

Hello There!!

Step-by-step explanation:

The answer is B)185 because a number divisible by 5 ends in 0 or 5.

hope this helps,have a great day!!

~Pinky~

Answer: .98

Step-by-step explanation:

Answer:

The curve surface area(CSA) of a cylinder is 2πrh.

Since diameter=1.5 in.

          radius=diameter/2

                     =1.5/2 in.

                     =0.75 in.

And, the height of the bottle is 5 in.

Now,

CSA=2πrh

       =2π*0.75*5 in^2

       =15π/2 or 23.56 in^2

The size of the label needed to cover the entire bottle is 15π/2 or 23.56 in^2.

Answer:

Yes

Step-by-step explanation:

Every time the sugar goes up by 1/3 or by three it keeps the same raito

Answer:

The 3rd and the 5th

Step-by-step explanation:

The graphs of the 3rd and the 5th functions are straight lines

The 1st and 2nd are parabolas

The 4th is an exponential

You must look at the graph: it shall include all the real values for the y coordinate

Answer:

B

Step-by-step explanation  

: )

Answer:

16days

Step-by-step explanation:

1 man =4days

4men=4men/1man×4days

=4×4days

=16days

Answer:

1

Step-by-step explanation:

averaging

Answer:

1,2, and 5

Step-by-step explanation:

y=2*(3+x)  

y=3x-2

3x-y=2

Answer:

Step 1: 8x - 12 = 1; Step 2: 8x = 13

Step-by-step explanation:

Given equation:

4(2x - 3) = 1

Step 1: open the parenthesis

4(2x - 3) = 1

8x - 12 = 1

Step 2: collect like terms

8x - 12 = 1

8x = 1 + 12

8x = 13

step 3: divide both sides by the coefficient of x

8x = 13

x = 13/8

The correct steps to solve the equation:

Step 1: 8x - 12 = 1; Step 2: 8x = 13

Answer:

74059.3 J

Step-by-step explanation:

KE = I/2mv²

KE = 1/2(1200)(11.11)²

KE = 1/2(1200)(123.4321)

KE = 74059.26 J

Answer

74059.26J

Explanation

Formula

EK=mv^/2

m=1200kg

v=11.11m/s

E=1200kg×(11.11m/s)^/2

E=74059.26J

Answer:

[tex]3^x+5x+3[/tex]

Step-by-step explanation:

Given that,

[tex]f(x)=3^x+10x[/tex]

and

[tex]g(x)=5x-3[/tex]

We need to find (f-g)(x).

We know that,

(f-g)(x) = f(x)-g(x)

[tex]=3^x+10x-(5x-3)\\\\=3^x+10x-5x+3\\\\=3^x+5x+3[/tex]

So, the value of (f-g)(x) is [tex]3^x+5x+3[/tex].

Answer:

none of these

Step-by-step explanation:

A number is divisible by 10 if the last digit of the number is 0. The numbers 20, 40, 50, 170, and 990 are all divisible by 10 because their last digit is zero, 0.