Which ordered pair makes both inequalities true? y < –x + 1 y > x Which ordered pair makes both inequalities true? y < –x + 1 y > x (–3, 5) (–2, 2) (–1, –3) (0, –1) (–3, 5) (–2, 2) (–1, –3) (0, –1) Mark this and return

Nathan is walking faster than Matt.

The graph shows that for every hour, Matt walks 3 miles, since it goes to the right 1 and up 3 over and over again.  This means Matt's speed is 3 miles per hour.

4 miles per hour is greater than 3 miles per hour, so Nathan is walking at a faster speed.

Answer:

D

Step-by-step explanation:

Circle C and D both have a radius of 7.  So the sum of their areas is:

A = π(7)² + π(7)²

A = 98π

Answer:  The correct option is

(D) 98π units².

Step-by-step explanation:  We are given to find the sum of the areas of circle C and circle D.

From the figure, we note that

both the circle s C and D have equal radii given by

r = 7 cm.

Also, we know that the area of a circle with radius r units is given by

[tex]A=\pi r^2.[/tex]

Therefore, the sum of the area of circle C and D is given by

[tex]S=2A=2\pi r^2=2\times \pi\times7^2=2\times49\pi=98\pi~\textup{sq. units}.[/tex]

Thus, the required sum of the areas is 98π units².

Option (D) is CORRECT.

Answer:

Explanation:

1) What is the smallest possible area of the tabletop that will fit on Timothy’s table base?

The statement that the base can support a tabletop with a radius of at least 6 inches means that the radius has to be 6 inches or more, i.e. the smallest possible radius is 6 inches.

a) Area of a circle: A = π r²

The smallest area is given by the smallest radius, which we have just stated that is 6 in.

b) Calculations:

With that A = π (6 in)² = 36π in² ≈ 113.10 in².

Round the answer to the nearest whole square inch: 113 in²

2) What is the largest possible area of the tabletop that will fit on Timothy’s table base?

The statement that the base can support a tabletop with a radius no more than 23 inches means that the radius has to be 23 inches or less, i.e. the largest possible radius is 23 inches.

a) Area of a circle: A = π r²

The largest area is given by the largest radius, which we have just stated that is 23 in.

b) Calculations:

With that A = π (23 in)² = 529 π in² ≈ 1,661.9 in².

Round the answer to the nearest whole square inch: 1,662 in².

Answer is 113 for the first then 1662 for the second

Step-by-step explanation:

Answer:

t = 1.55 sec

Step-by-step explanation:

Because we are asked to find the time it will take for the rocket to travel horizontally, we are only concerned with the x-dimension here.  

We are told that the initial velocity is 50 ft/s and the angle is 75 degrees.  

The equation we are going to need to solve this involves the displacement, the initial velocity, the acceleration, and the time...all in the x dimension:

Δx = V₀t + 1/2at²

We have the displacement, we can solve for the initial velocity, we know acceleration, and time is what we are solving for.

Let's work to fill in these values:

Δx = 20 feet

V₀x = V₀ cos Ф (that's the closest thing I could find to theta)

a = 0 (acceleration is always 0 in the horizontal dimension)

t = ?

From the information we can determine the initial velocity in the x dimension using the formula

[tex]V_{0x}=V_{0}cos(\theta)[/tex]

Solving for the initial velocity in the x-dimension:

[tex]V_{0x}=50cos(75)[/tex], which gives us from our calculators that initial velocity in the x-dimension is 12.941 (I am not paying attention to significant digits here since 50 has only 1).

Now we can fill in our equation with the info:

[tex]20=12.941t+\frac{1}{2}(0)t^2[/tex]

Because a = 0, the whole portion of the equation after the plus sign equals 0, so we can disregard and simply solve:

20 = 12.941t so

t = 1.55 seconds

The time it will take for the rocket to travel 20 feet horizontally is 1.545 seconds.

There are three equations of motion, v= u +at, s = ut +(1/2)at²and v² = u²+2as.

The initial velocity is 50 ft/s

The angle is 75 degrees.  

s = ut +(1/2)at²

v= u cos [tex]\rm \theta[/tex]

v = 50 cos 75

v = 12.94 ft/s

a = 0  in horizontal direction

s = 20

20 = 12.94 *t

t = 20/12.94

t = 1.545 seconds.

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Answer:

2 no.be x and y

x+y=67

x-y=11

solving both eqx

x=39

y=28

small no=28

Answer:

it has no solution

Step-by-step explanation:

Answer:

  The function is even.

Step-by-step explanation:

Compare it to the definition of an odd function or an even function.

Odd function: if (x, y) is in the relation, then (-x, -y) is also in the relation. (The function is symmetrical about the origin.)

Even function: if (x, y) is in the relation, then (-x, y) is also in the relation. (The function is symmetrical about the y-axis.)

__

The first point listed is (1, 2). If this function is odd, we expect to find (-1, -2). There is none such.

If this function is even, we expect to find (-1, 2). That is the third point listed, so it is possible this function is even. Comparing the other points to their even-function counterparts shows all of them match the definition of an even function.

Final answer:

To find the solution of the system of equations -7x+y=-20 and 9x-3y=36, we can use the method of substitution. The solution is x = 2 and y = 6.

Explanation:

To find the solution of the system of equations -7x+y=-20 and 9x-3y=36, we can use the method of substitution or elimination. Let's use the method of substitution:

Step 1: Solve one equation for one variable in terms of the other variable. From the first equation, we have y = 7x - 20.

Step 2: Substitute this expression for y in the second equation. Substitute the value of y from Step 1 into the second equation: 9x - 3(7x - 20) = 36.

Step 3: Simplify and solve for x. Distribute the -3 to both terms inside the parentheses: 9x - 21x + 60 = 36.

Step 4: Combine like terms: -12x + 60 = 36.

Step 5: Subtract 60 from both sides of the equation: -12x = -24.

Step 6: Divide both sides of the equation by -12: x = 2.

Step 7: Substitute the value of x back into one of the original equations to find y. Using the first equation, we have -7(2) + y = -20. Simplifying, we get y =  6.

Therefore, the solution to the system of equations is x = 2 and y = 6.

There's no axis of symmetry in a house, no way to rotate it a little bit without changing it.  There is plane symmetry, two different ways, the one shown in the last choice, and one through the center of the front and back.

Answer: Plane symmetry only, last choice

Answer: C) plane symmetry and symmetry about an axis

Step-by-step explanation: Please see the image below!

Answer:

175ml of orange paint

Step-by-step explanation:

3/4 = 75/x

3 × 25 = 75 so...

4 × 25 = 100 so...

75 + 100 = 175ml of orange paint

Answer:

5.97 cm  to 3 significant figures.

Step-by-step explanation:

The diameter of the circle will be equal to the length of the diagonal of the square.

Area = 56 = πr^2

r^2 = 56 / π

r = √(56 / π) =  4.222 cm

So the diameter = 8.444 cm.

This  is  = diagonal of the square so, by The Pythagoras Theorem:

x^2 + x^2 = 8.444^2     where x  is the side of the square.

x^2 = (8.444)^2 / 2

x^2 = 35.651

x =  5.971 cm

Answer with explanation:

In Δ ABC and ΔA DE

 AC=AD----------[Given]

BC=DE----------[Given]

∠BAC=∠DAE-------[Given]

Any of the two criteria which are →[SAS,SSS] can't be used to prove ⇒ΔABC≅  ΔA ED

Because, neither two sides and Included angle of two triangles ,nor three corresponding sides of two triangles, are congruent to each other.

Option A : Neither Apply

1. Angle BAC = angle EAD( given)

2. line BC = line DE ( given)

3. line AC = line AD( given)

4. Triangle ABC is congruent to AED by SAS or SSS postulate of congruency.

The Side-Angle-Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

1. Angle BAC = angle EAD( given)

2. line BC = line DE ( given)

3. line AC = line AD( given)

4. Triangle ABC is congruent to AED by SAS or SSS postulate of congruency.

Answer:

The measure of angle x is [tex]m\angle x=84\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

so

[tex]m\angle x=\frac{1}{2}(168\°)=84\°[/tex]

[tex]\bf \textit{surface area of a rectangular prism}\\\\ SA=2(Lh+Lw+wh)~~ \begin{cases} L=length\\ w=width\\ h=height\\ \cline{1-1} L=55\\ w=35\\ h=20 \end{cases} \\\\\\ SA=2[(55\cdot 20)+(55\cdot 35)+(35\cdot 20)]\implies SA=2[1100+1925+700] \\\\\\ SA=2(3725)\implies SA=7450[/tex]

Answer:  1.9

Step-by-step explanation:

[tex]f(x)=\dfrac{14}{7+2e^{-0.6x}}\\\\\\f(3)=\dfrac{14}{7+2e^{-0.6(3)}}\\\\\\.\qquad =\dfrac{14}{7+2e^{-1.8}}\\\\\\.\qquad =1.9\qquad \quad need\ to\ use\ a\ calculator\ after\ replacing\ x\ with\ 3[/tex]

Answer:

D. poor reputation

Step-by-step explanation:

Answer:

16 in = 2W + 2L

Step-by-step explanation:

The equation for the perimeter of this rectangle is

P = 16 in = 2W + 2L.

Without knowing the value of either W or L, we can do no more at this point.

Answer:

D. $2,160

Step-by-step explanation:

$1800 per month * 12 months = $21,600

10% of $21,600 = 0.1 * $21,600 = $2,160

Answer:

$2,160

Step-by-step explanation:

There are 12 months in a year

1800 *12 = 21600

He pays 21600 per year in rent

He pays the agency 10%

21600 * 10%

21600*.10

2160

He pays the agency 2160

Answer:

A. $1,056,000 ≤ x ≤ $1,344,000

Step-by-step explanation:

The average annual salary of each of the 48 employees is given as;

$25,000

The total salary that the company pays to its employees annually is thus;

$25,000 * 48 = $1,200,000

Now, the total annual maximum variance  of the employees salaries would be;

$3,000 * 48 = $144,000

The lower limit of the total salary that the company pays to its employees annually is calculated as;

$1,200,000 - $144,000 = $1056000

The upper limit of the total salary that the company pays to its employees annually is calculated as;

$1,200,000 + $144,000 = $1344000

Therefore, the range of the total salary that the company pays to its employees annually is;

$1,056,000 ≤ x ≤ $1,344,000

The total annual salary range for a company with 48 employees, where each earns an average of $25,000 with a maximum variance of $3,000, is calculated by multiplying the number of employees by the minimum and maximum salaries. The range is from $1,056,000 to $1,344,000 (Option A).

The goal is to find the range of the total annual salary that the company pays to its employees. The average annual salary for each of the 48 employees is $25,000, with a possible variance of $3,000 either way. This means that the lowest possible salary could be $22,000 ($25,000 - $3,000) and the highest possible salary could be $28,000 ($25,000 + $3,000).

To find the range of the total salary that the company pays annually, we multiply the number of employees by the minimum and maximum possible salaries.

Therefore, the range of the total salary that the company pays to its employees annually is from $1,056,000 to $1,344,000. The correct answer to the question is A. $1,056,000 ≤ x ≤ $1,344,000.

Answer: LAST OPTION.

Step-by-step explanation:

The Pythagorean Theorem states the following relationship between the three sides of a triangle that has an angle of 90 degrees, known as "Right triangle":

[tex]a^2=b^2+c^2[/tex]

Where "a"is the hypotenuse and "b" and "c" are the legs of the right triangle.

If the triangle ABC is a right triangle then AB must be equal to [tex]BC^2+AC^2[/tex], then, you need to substitute the values into  [tex]a^2=b^2+c^2[/tex] to check this:

[tex]12^2=5^2+10^2\\144\neq 125[/tex]

Then the triangle ABC is not a right triangle.

Therefore, the statement that justifies why this triangle is not a right triangle is:

[tex]5^2+10^2\neq 12^2[/tex]

Answer: They earned $720 from the T-shirts.

Step-by-step explanation:

Given : The number of T-shirts sold was 3 times the number of hats.

The profit was $5 for each T-shirt sold and $2.50 for each hat sold.

The students raised $840 for the charity.

Let x denotes the number of T-shirts sold and y denotes the number of hats sold.

then, we will have the given system :-

[tex]5x+2.50y=840\\x=3y[/tex]

It is also given that they used the system below to analyze their success and found the solution to be (144, 48).

It means x= 144

It means the number of t-shirt sold = 144

The amount they earn from t-shirt = [tex]144\times5=\$720[/tex]

Hence, they earn $720 from the T-shirts.

Answer:

this is just proof of verification if you don't believe the guy above me

Step-by-step explanation:

Answer:

[tex]m=5[/tex]

Step-by-step explanation:

The average rate of change m of a function is calculated using the following formula

[tex]m=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

In this case we look for the average exchange rate between [tex]x = 0[/tex] and [tex]x = 2[/tex].

Therefore we must find [tex]f(2)[/tex] and [tex]f(0)[/tex]

You can see in the graph that when [tex]x = 2[/tex] then [tex]y = 11[/tex]

therefore [tex]f(2) = 11[/tex]

You can see in the graph that when [tex]x = 0[/tex] then [tex]y = 1[/tex]

therefore [tex]f(0) = 1[/tex]

Finally

[tex]m=\frac{f(2)-f(0)}{2-0}[/tex]

[tex]m=\frac{11-1}{2-0}[/tex]

[tex]m=\frac{10}{2}[/tex]

[tex]m=5[/tex]

The estimate of the average rate of change of the function given in the graph above is calculated as: 5.

The average rate of change of a function is the ratio of the change in the function's output values to the corresponding change in its input values over a specified interval.

The average rate of change = f(b) - f(a) / b - a.

Given the function in the graph above, we see that:

a = 0, then f(a) = 1

b = 2. then f(b) = 11

Plugin the values into the formula:

Average rate of change = 11 - 1 / 2 - 0

= 10/2

= 5

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Answer:

An enlargement with scale factor 2

Step-by-step explanation:

C’E’D is a dilation imagine of CED

It's enlargement so scale factor must be greater than 1

SF = 4/2 = 2

Answer

An enlargement with scale factor 2

An enlargement with scale factor 2

A dilation in mathematics is a function f from a metric space M into itself that, for any locations x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is some positive real number. Such a dilatation is a resemblance of the space in Euclidean space.

Given

C’E’D is a dilation imagine of CED

It's enlargement so scale factor must be greater than 1

SF = 4/2 = 2

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Answer:

   0

Step-by-step explanation:

For a quadratic of the form

  ax² +bx +c = 0

The "discriminant" is the expression ...

  b² -4ac

For this equation, we have a=1, b=5, c=7, so the discriminant is ...

  5² -4·1·7 = -3

When the discriminant is negative there will be two distinct complex roots to the equation, and no real roots.

_____

When the discriminant is zero, there will be one real root with multiplicity 2; when it is positive, there will be two distinct real roots.

To find the length, divide the area by the width.

See the attached picture:

ANSWER

The correct answer is C.

EXPLANATION

The correct answer is C.

Answer:

X+ 6

Y+ 1

Step-by-step explanation:

The image of point A  after the reflection along the x-axis the is A(-5,-2).

When this point was translated the new point became A(1, -1). The is means  the translation from (-5, -2) to (1, -1) can be given by:

for the x-coordinate

-5 + x = 1

x =6

for the y-coordinate;

-2 + y  =-1

y = -1 + 2

   = 1

Answers are

x + 6 and

y + 1

Answer:

x+6 y+1

Step-by-step explanation:

Answer:

  (f+g)(x) = x^2 + 7x -9

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

  = (x^2 + 6x – 2) + (x – 7)

  = x^2 + 7x -9

Answer:

The quotient is 4x- 3.

Step-by-step explanation: