The graph shows the cube root parent function. Which statement is true? A. (0, 1) is the x and y-intercept of the function. B. The function has no intercepts. C. (1, 1) is the x and y-intercept of the function. D. (0,0) is the x and y-intercept of the function.​

Answer:

C

Step-by-step explanation:

a number is only divisible by 4, if the number formed by the last 2 digits is divisible by 4.

Answer:

x = 5

Step-by-step explanation:

3(x + 7) + 4 = 40 ( subtract 4 from both sides )

3(x + 7) = 36 ( divide both sides by 3 )

x + 7 = 12 ( subtract 7 from both sides )

x = 5

As a check

substitute x = 5 into the left side of the equation and if the value obtained is equal to the right side (40) then it is a solution

3(5 + 7) + 4

= 3(12) + 4

= 36 + 4

= 40

left side = right side

then x = 5 is the solution to the equation

The equation in slope-intercept form y = 4/3 x + 4/3 contains the points (-1 , 0) and (2 , 4).

An equation of a line in slope-intercept form is given by the formula y = mx+ b, where m is the slope of the line and b is the y- intercept.

If you know two points on a line, you can use them to write the equation of the line in slope-intercept form.

First is to find the slope of the line using the two given points.

let Point 1(-1 , 0) and Point 2(2 , 4)

slope = m = (y2 - y1) / (x2 -x1)

m = (4 - 0) / (2 - -1)

m = 4/3

Next, use the slope and one of the points to find the value of the y-intercept, b. Plug in these values in the formula for slope-intercept form.

y = mx+ b

y = 4/3 x + b

Using Point 1,

0 = 4/3 (-1) + b

0 = -4/3 + b

b = 4/3

Finally, set up the equation of the line in slope-intercept form.

y = mx+ b

where m = 4/3 and b = 4/3

y = 4/3 x + 4/3

To learn more about equation in slope-intercept form: https://brainly.com/question/25826868

#SPJ4

The maximum distance up the wall the ladder will reach = 19.4 ft

The total length of the ladder, L = 20 ft

Minimum distance of the base of the ladder to the wall, B = 1/4 x 20 = 5 ft

Now we need to find the maximum distance up the wall the ladder will reach. This is obtained when the base distance is the least.

i.e., when the base = 5 ft.

Now the ladder, the wall and the base distance between wall and ladder constitute a right triangle. In this right triangle, the ladder is the hypotenuse and the height of the wall up to which ladder reach, 'x' is its altitude with base = 5ft.

Then using Pythagoras theorem,

    [tex]L^2 = B^2 +x^2[/tex]

⇒ [tex]x^2 = L^2 - B^2 = 20^2 - 5 ^2[/tex]

⇒ [tex]x^2 = 375[/tex]

⇒ [tex]x=\sqrt{375}[/tex] = 19.3649

When rounded to the nearest tenth, (i.e., only one decimal place),we get,

⇒ x = 19.4 ft

Learn more about Pythagoras theorem at https://brainly.com/question/21970437

#SPJ4

A good way to find patterns in data is to arrange it in tabular form, which acts as an "input-output" machine.

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements. Any kind of event or object can be connected to the Pattern.

A pattern is referred to as a rule or a way in which a group of numbers is related to one another. Sometimes a pattern is also referred to as a sequence.

Putting data into a tabular format, which functions as an "input-output" computer, is a useful way to find patterns. It will process an input value, return an output value, and take another value as an input.

The table's process column will make it easier to comprehend how input and output are related.

To learn more about patterns, refer to:

https://brainly.com/question/24160693

#SPJ4

Answer:

x=3.5

Y=None

Step-by-step explanation:

Answer:

9-x

Step-by-step explanation:

Answer: g(4b)=12b+7

Step-by-step explanation:

g(x)=3x+7

g(4b)=3(4b)+7

g(4b)=12b+7

The card with the number 7 was removed.

So,

Therefore, the card with the number 7 was removed.

Know more about equations here:

brainly.com/question/2972832

#SPJ9

   The equation that defines the parabola with vertex at the point (3, 2) and focus at (4, 2) is:

(Y - 2)² = 16(X - 3)

  A parabola is a quadratic function that can move on any axis, it is composed of:

   The equation that defines a parabola can be given by:

  This will depend on its aperture

  In this case we have the vertex of the parabola at the point (3, 2) and the focus at the point (4, 2) this is displaced on the x-axis to the right, so the parabola is of the form X = Y²

(y - 2)² = 4p(x - 3)

Focus

f = (0 + p, 0)

(y - 2)² = 4*4(x - 3)

(Y - 2)² = 16(X - 3)

Y² - 4Y + 4 = 16X - 48
X = Y²/16 - Y/4 + 13/4

Learn more about parabolas in:

https://brainly.com/question/28586996

#SPJ4

Based on the information given, the area of the trapezoid will be 89.7cm².

It should be noted that the formula for calculating the area of a trapezoid will be:

= (a + b)/2 × h

where a = 8

b = 13

h = 7.8

Area = (13 + 8)/2 × 7.8

= 21/2 × 7.8

= 11.5 × 7.8

= 89.7cm²

Therefore, based on the information given, the area of the trapezoid will be 89.7cm².

Learn more about area on:

brainly.com/question/25292087

#SPJ1

Answer:181/2

Step-by-step explanation:

90.5 as a fraction is 181/2

The actual length, if the length of the model is 10 ft and the scale factor is greater than one is Option(b) 9.5 ft.

The basic formula to find the scale factor of a figure is as:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given:

length of the model = 10 ft

Now we determine which actual length has a scale factor greater than one.

(a) Scale factor = (10/10)

Here, we can see that the scale factor is equal to 1.

(b) Scale factor = (10/9.5) = 1.05

Here, we can see that the scale factor is greater than 1.

(c) Scale factor = (10/12) = 0.83 ( 1 yard = 3 foot)

Here, we can see that the scale factor is less than 1.

Therefore, the actual length is 9.5 ft.

To know more about the scale factor visit:

https://brainly.com/question/17838614

#SPJ9

For the given inequality x+13<41, x is less than 28

Inequality involves two algebraic expressions linked by the signs of inequality. These signs include less than (<), greater than (>) or less than equal to (<=) and greater than equal to (>=).

Let's solve the inequality

x+13<41

Move the like terms on the same side

x< 41-13

x< 28

Therefore, x is less than 28

You can learn more about inequalities from
https://brainly.com/question/11613554
#SPJ4

Answer:

$3.90

Step-by-step explanation:

Expected Value formula

[tex]\boxed{\displaystytle E(x)=\sum x_iP(x_i)}[/tex]

where:

Given table:

[tex]\begin{array}{l | ccccc}\sf Payout\:(\$) & 0 & 2 & 4 & 8 & 10\\\cline{1-6} \sf Probability & 0.35 & 0.2 & 0.1 & 0.2 & 0.15\end{array}[/tex]

Substitute the given values into the Expected Value formula:

[tex]\begin{aligned}\implies E(x) & = 0(0.35) + 2(0.2)+4(0.1)+8(0.2)+10(0.15)\\& = 0+0.4+0.4+1.6+1.5\\& = 3.9\end{aligned}[/tex]

Therefore, the expected value is $3.90.

So, on average, you would expect to receive $3.90 in winnings per game.

Answer:

Negative. Because he should run all seven weeks to get positive result.

The image of the point after the translation is (-4, -1)

The point is given as

(1,4)

The translation is given as

Left 5 units and down 5 units

This is represented as

(x, y) = (x - 5, y - 5)

So, we have

(x, y) = (1 - 5, 4 - 5)

Evaluate

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

Hence, the image of the point after the translation is (-4, -1)

Read more about transformation at:

https://brainly.com/question/4289712

#SPJ1

For the given function, we have that:

The domain of a function is the set that contains all possible input values for the function. In a graph, it is the set that contains all the values of x of the function.

Hence, the domain is [-4,4] for the given function.

The zeros of a function are the values of x for which f(x) = 0, on the graph they are the values of x when the function crosses the x-axis.

For this problem, the function does not cross the x-axis, hence it has no zeros.

Looking at a graph, we have that:

Hence, for the given function:

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Answer:

[tex]\textsf{a)} \quad x = 63^{\circ}[/tex]

[tex]\textsf{b)} \quad \boxed{\begin{minipage}{8.5 cm}\sf The angle between the tangent and the radius at a point \\on a circle is $90^{\circ}$.\end{minipage}}[/tex]

Step-by-step explanation:

The triangle inside the circle is an isosceles triangle, since two of its sides are the radius of the the circle (and therefore equal in length).

Therefore, its two base angles are 27°.

A tangent is a straight line that touches a circle at only one point.

The tangent of a circle is always perpendicular to the radius.

[tex]\implies x + 27^{\circ} = 90^{\circ}[/tex]

[tex]\implies x +27^{\circ}-27^{\circ}= 90^{\circ} - 27^{\circ}[/tex]

[tex]\implies x = 63^{\circ}[/tex]

The circle theorem that allows the calculation of angle x is:

[tex]\boxed{\begin{minipage}{8.5 cm}\sf The angle between the tangent and the radius at a point \\on a circle is $90^{\circ}$.\end{minipage}}[/tex]

Answer:16

Step-by-step explanation:

Answer: width = 12 inches

length =  28 inches

Step-by-step explanation:

l = 4 + 2w

Perimeter = 2 ( l + w  )

80 = 2 ( 4 + 2w + w )

80 = 2 ( 4 + 3w )

80 = 8 + 6w

80 - 8 = 6w

72 = 6w

w = 72 / 6

width = 12 inches

length = 4 + 2 (12)

= 4 + 24

= 28 inches

checking

Perimeter = 2 ( 28 + 12 )

= 2 (40)

= 80 inches

correct

The given polygons that is an equilateral triangle and scalene triangle can never be similar ,as it is not possible to map equilateral triangle onto scalene triangle or vice-versa.

As given in question,

Given polygons are equilateral triangle and scalene triangle

An equilateral triangle never similar to scalene triangle.

Reason:

Therefore, the given polygons that is equilateral triangle and scalene triangle can never be similar.

The complete question is:

Determine whether the given polygons are always, sometimes, or never similar. Explain your reasoning.

An equilateral triangle and a scalene triangle

Learn more about polygons here

brainly.com/question/24464711

#SPJ4

With a rate of $425/day, Sherry McCoy's gross income for the year, working 180 days, is $76,500.

Gross income refers to the total salary or wages and other form of earnings before any deductions or taxes.

If as a tax consultant, Sherry McCoy charges $425 per diem for her services, then her rate is $425/day.

Rate is a ratio that compares two different quantities which have different units.

We will use this rate to find how much earnings she got if she worked for 180 days last year.

gross income = rate x time

gross income = $425/day (180 days)

gross income = $76,500

Hence, working 180 days last year, Mary has a gross income of $76,500.

Learn more about gross income here: https://brainly.com/question/13793671

#SPJ4

Answer:

The statement is true.

Step-by-step explanation:

Let us plug[tex]24=-4(8)-8[/tex] in 8 for [tex]x[/tex] and 24 for [tex]y[/tex] in our equation: [tex]24 =-4 (8) - 8[/tex].

Now we will solve in the order described by PEMDAS.

-4(8)=32

32-8=24

24=24

Thus, our statement is true.

The explicit formula for the given sequence is a(n) = 1 + 4(n - 1).

A recursive function is one that iterates or uses its very own previous term to determine subsequent terms, resulting in a series of terms.

The recursive formula for an arithmetic sequence is as follows.

a(1)  = 1 and a(n) = a(n - 1) + 4.

Remember that this formula provides us with two types of data.

Let's look for a formal formula again for sequence.

Thus, by the use of recursive definition, the explicit formula for the sequence is a(n) = 1 + 4(n - 1).

To know more about the explicit formula, here

https://brainly.com/question/22691266

#SPJ4

A scalene triangle has at least two congruent sides is a FALSE statement.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

A scalene triangle is a triangle whose all sides are unequal.

Since congruent sides are the sides that are equal in length but in a scalene triangle, none of the sides are equal to each other.

Hence "A scalene triangle has at least two congruent sides is a FALSE statement".

For more information about the triangle,

https://brainly.com/question/2773823

#SPJ4

We conclude that MN ≅ RS under the rule in which if a = b, and b = c; then automatically a = c.

So,

Given: MN ≅ PQ, PQ ≅RS

To Prove: MN ≅ RS

This rule satisfies the above condition.

Therefore, MN ≅ RS under the rule in which if a = b, and b = c; then automatically a = c.

Know more about the congruency of a triangle here:

brainly.com/question/2938476

#SPJ4

The given rational and irrational numbers can be ordered from least to greatest as follows; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.

It follows from the task content that the numbers given are rational and irrational numbers.

To order the numbers, they should be converted to decimal numbers as follows;

Hence, the order from least to greatest is; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.

Read more on ascending order;

https://brainly.com/question/12783355

#SPJ1

Answer:29.3 repeating

Step-by-step explanation:Just use

calculator