Writing about Translating Phras
Explain how to translate the phrase into an algebra
expression
a number squared decreased by ten​

Answer: First Option

[tex]x= -3.396[/tex]

Step-by-step explanation:

We have the following expression

[tex]log_{\frac{3}{4}}25 = 3x -1[/tex]

To solve the equation add 1 to both sides of the equality

[tex]log_{\frac{3}{4}}25 +1= 3x -1+1[/tex]

[tex]log_{\frac{3}{4}}25 +1= 3x[/tex]

Divide between 3 to both sides of the equation

[tex]\frac{log_{\frac{3}{4}}25 +1}{3}= x[/tex]

[tex]x= \frac{-11.19 +1}{3}[/tex]

[tex]x= -3.396[/tex]

The answer is the first option

−x = 4 − 3x + 6

Move the -3x to the other side and simplify 4+6.

2x= 10

Divide both sides by 2

x=5.

Answer: First option.

Step-by-step explanation:

Given the equation [tex]-x = 4- 3x + 6[/tex], you need to solve for the variable "x" to find its value.

Add the like terms on the right side of the equation:

 [tex]-x = 10-3x [/tex]

Now you need to subtract 10 from both sides of the equation:

 [tex]-x-10 = 10- 3x -10[/tex]

 [tex]-x-10 =- 3x[/tex]

 The next step is to add "x" to both sides of the equation:

  [tex]-x-10+x = - 3x +x[/tex]

   [tex]-10 = - 2x[/tex]

And finally, divide both side by -2:

[tex]\frac{-10}{-2}=\frac{-2x}{-2}\\\\x=5[/tex]

Answer:

D. offer possible answers to historical questions.

Step-by-step explanation:

An argument is a statement which a historian proposes. In order to back up the statement the historian provides proof. The argument is then read by other historians and the proof is analyzed. After the analysis if other historians come to the same conclusion which the statement points to then the argument is accepted.

So, this is the way to offer possible answers to historical questions.

Answer:

Both a and b

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

[tex]slope =\frac{1}{4}[/tex]

slope is undefined

Step-by-step explanation:

WE need to find the slope of two lines

to find out slope we use formula

[tex]slope =\frac{y_2-y_1}{x_2-x_1}[/tex]

To find slope we pick two points from the line

(-4,0) and (0,1) is (x1,y1) and (x2,y2)

[tex]slope =\frac{1-0}{0+4}=\frac{1}{4}[/tex]

[tex]slope =\frac{1}{4}[/tex]

To find slope we pick two points from the line

(1,0) and (1,1) is (x1,y1) and (x2,y2)

[tex]slope =\frac{1-0}{1-1}=\frac{1}{0}[/tex]

When denominator =0 then the slope is undefined

Answer:

36

Step-by-step explanation:

area of trapezium is (1/2)×(6+9)×8=60

area of triangle is (1/2)×6×8=24

area of shaded =60 - 24 =36

The area of the shaded region of the trapezoid is 36.

area of trapezium is (1/2)×(6+9)×8=60

area of triangle is (1/2)×6×8=24

area of shaded =60 - 24 =36

Answer:

{196, 256, 484}

Step-by-step explanation:

14² = 196;

16² = 256;

19² = 361;   390 lies between 361 and 400, and is thus NOT a perfect square;

20² = 400;

22² = 484

564 lies between the two perfect squares 23² and 24², but is itself NOT a perfect square.

Thus, the perfect squares are {196, 256, 484}

The perfect squares out of the numbers 196, 256, 390, 484, 564 are 196, 256, and 484. A perfect square is a number that can be expressed as an integer multiplied by itself.

The perfect squares from the list you provided are: 196, 256, and 484. A perfect square is a number that can be expressed as the product of an integer with itself. For example, 256 is a perfect square because it can be expressed as 16 times 16, or 16^2. Similarly, 196 and 484 are perfect squares as they can be expressed as 14^2 and 22^2, respectively. On the other hand, numbers 390 and 564 are not perfect squares as they cannot be expressed as the product of an integer with itself.

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Answer:

2x + 7

Step-by-step explanation:

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

f(x) - g(x) = 3x + 1 - (x - 6) = 3x + 1 - x + 6 = 2x + 7

Answer:

$7.63

Step-by-step explanation:

We are given:

r=9 icnhes

We have to find the area of the circular ornament first. The formula for area of circle is:

Area= πr^2

Putting the value of r

Area=3.14*(9)^2

=3.14*81

=254.34 Square inches

As the company pays $0.03 for 1 square inch, for 254.34 square inch the company will have to pay:

=254.34*0.03

=$7.6302

Rounding off to the nearest cent

The cost for one ornament = $7.63

Answer:

$30.52

Step-by-step explanation:

4 x 9^2 x 3.14 x 0.03 = around 30.52

Answer:

3/11 + 5 5/8 > 5 6/8

Step-by-step explanation:

find the LCD's for both sides of the comparison. After this, add fractions from the same side of the comparison. Then, you must compare the two and check your answer. Have a nice day!

Answer:

true

Step-by-step explanation:

Answer:

drag each result in the corresponding box according to the results

Step-by-step explanation:

Hello

The product of two or more powers of equal  base "a" is equal to the power of base  "a" with   exponent equal to the sum of the respective exponents.

[tex]a^{m}*a^{n} =a^{n+m}[/tex]

Step 1

[tex]d*2d^{2}\\[/tex]

[tex]d*2d^{2}=(2*1)d^{(2+1)}\\d*2d^{2}=2d^{3} \\[/tex]

Step 2

[tex]-9*2d^{2}\\[/tex]

[tex]-9*2d^{2}=(-9*2)d^{(2+0)}\\-9*2d^{2}=-18d^{2} \\[/tex]

Step 3

[tex]d*11d\\[/tex]

[tex]d*11d=(1*11)d^{(1+1)}\\11*d^{2}=11d^{2} \\[/tex]

Step 4

[tex]-9 * 11d\\[/tex]

[tex]-9 * 11d = (-9*11)d^{1+0}=-99 d[/tex]

Step 5

[tex]d*-4=-4d[/tex]

Step 6

[tex]-9*-4 = ( -*- ) (9*4)= 36[/tex]

Step 7

Now, drag each result in the corresponding box .

Have a great day

Answer:

Your welcome :)

Step-by-step explanation:

Answer:

A. 1/4

Step-by-step explanation:

The line is upwards so slope will be positive. (either A or C will be the answer)

Now to solve for slope to find out

Two coordinate points on graph (-3,-1) ad (5,1)

Slope = (y2 - y1)/(x2 - x1)

Slope = (1 + 1)/(5 + 3) = 2/8 = 1/4

Answer:

[tex]A.\frac{1}{4}[/tex]

Step-by-step explanation:

Hello, I think I can help you  with this

The slope is the inclination of the line with respect to the abscissa axis, if you know two points  it can be calculated using

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

where

[tex]P1(x_{1},y_{1})\\P2(x_{2},y_{2})[/tex]

Step 1

put the values into the equation

Let

[tex]P1(-3,-1) \\P2(5,1)\\\\m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\m=\frac{1-(-1)}{5-(-3) } \\m=\frac{1+1}{5+3} \\m=\frac{2}{8} \\m=\frac{1}{4}[/tex]

Have a great day

Answer: [tex]80 in^2[/tex]

Step-by-step explanation:

The area of a parallelogram can be calculated with the following formula:

[tex]A=b*h[/tex]

Where "b" is the base and "h" is the height or altitude.

You know that the base of  this parallelogram  is 8 inches long and the altitude to the base is 10 inches, then:

[tex]b=8in\\h=10in[/tex]

You need to substutite these values into the formula.

Therefore, the area the parallelogram is:

[tex]A=(8in)(10in)\\\\A=80in^2[/tex]

Final answer:

The ordered pair of M after rotating 90 degrees clockwise is (-6,5).

Explanation:

When a point undergoes a 90-degree clockwise rotation around the origin, a distinct transformation occurs. Specifically, the x-coordinate of the original point becomes the negative value of its original y-coordinate, and the y-coordinate takes on the positive value of the original x-coordinate. This geometric operation is fundamental in transforming coordinates.

Taking point M(5,6) as an example, after the 90-degree clockwise rotation, the new coordinates manifest as (-6,5). This rotation plays a crucial role in various mathematical and geometric applications, contributing to the understanding of spatial transformations and coordinate systems.

Answer:

Last option: 7

Step-by-step explanation:

The Standard form of a quadratic equation is the following:

[tex]ax^{2}+bx+c=0[/tex]

Where "a" is the quadratic coefficient (This coefficient cannot be 0), "b" is the linear coefficient, "c" is the constant and "x" is the variable.

In this case you have the quadratic equation [tex]3x^2 + 5x + 7 = 0[/tex] which is written is Standarf form. Then, you can identify that:

[tex]a=3\\b=5\\c=7[/tex]

Therefore the value of "c" is 7.

Answer: Option B

A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.

Step-by-step explanation:

If the graph of the function [tex]g(x)=cf(h-h) +b[/tex]  represents the transformations made to the graph of [tex]y= f(x)[/tex]  then, by definition:

If  [tex]0 <c <1[/tex] then the graph is compressed vertically by a factor c.

If  [tex]|c| > 1[/tex] then the graph is stretched vertically by a factor c

If [tex]c <0[/tex]  then the graph is reflected on the x axis.

If [tex]b> 0[/tex] the graph moves vertically  upwards b units.

If [tex]b <0[/tex] the graph moves vertically down  b units

If [tex]h> 0[/tex] then the graph of f(x) moves horizontally h units to the left

If [tex]h <0[/tex] then the graph of f(x) moves horizontally h units to the right

In this problem we have the function [tex]g(x) = -2((x - 1)^2 + 3)[/tex] and our parent function is [tex]f(x) = x^2[/tex]

therefore it is true that [tex]c =-2<0[/tex]  and [tex]b =-6 <0[/tex] and [tex]h=-1<0[/tex]

Therefore the graph is reflected on the x axis, stretched vertically by a factor 2. The graph of f(x) moves horizontally 1 units to the right and shift downward of 6 units.

The answer is (B) A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.

Final answer:

The correct transformations from f(x) = x² to g(x) = −2[(x − 1)² + 3] are a reflection about the x-axis, a vertical stretch by 2, a horizontal shift 1 unit to the right, and a vertical shift 3 units upwards, which is option (B) in the list provided.

Explanation:

The function g(x) = −2[(x − 1)² + 3] has undergone several transformations from the base function f(x) = x^2. These transformations include a reflection about the x-axis due to the negative sign in front of the equation, indicating that a flip has happened vertically. A vertical stretch by a factor of 2 is also evident from the coefficient 2 before the parenthesis.

The term (x - 1) inside the parenthesis indicates a horizontal shift of 1 unit to the right since we subtract from x to move the graph to the right. Lastly, the +3 at the end of the equation signifies a vertical shift of 3 units upwards, which is a change in the y-value of every point on the graph.

Therefore, the correct sequence of transformations to obtain g(x) from f(x) is: a reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift of 3 units upwards, which corresponds to option (B) provided by the student.

Answer: Area: 256 ft squared   Perimeter: 64 feet

Step-by-step explanation: If the scale is 1 cm to 8 ft then if you multiply 1 cm by 2 you get 2 cm. Then you multiply 8 by 2 to get 16 feet. Once you get 16 feet, you can do 16 times 16 to find the area and 16 times 4 to find the perimeter.

Answer:

b) (-6, 0)

Step-by-step explanation:

The quickest method to use is to put "0" in for y, then figure out which term for x would make the equation authentic, or genuine.

Answer:

From the looks of things, it seems to be 140 ft, the maximum height being 150 ft and the minimum height being 10 ft. Find the difference, and that should be your answer :)

Answer:C 140

Step-by-step explanation:

[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+10}x\stackrel{\stackrel{c}{\downarrow }}{+24} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{10}{2(1)}~~,~~24-\cfrac{10^2}{4(1)} \right)\implies (-5~,~24-25)\implies (-5~,~-1)[/tex]

The vertex of the quadratic function y = x² + 10x + 24 is located at point B. (-5, -1). This is found by using the formula -b/2a for the x-coordinate and substituting the x coordinate into the function for the y-coordinate.

The vertex of a quadratic function (a function in the form of y=ax²+bx+c) is the point that represents the minimum or maximum of the function graph. In this case, we are looking to find the vertex of the function y = x² + 10x + 24. The formula to find the x-coordinate of the vertex of a quadratic function is -b/2a. In this function, a = 1 and b = 10, giving us -10/(2*1) = -5 for the x-coordinate of vertex. We then substitute -5 into the function for x to determine the y-coordinate, resulting in y = (-5)² + 10*-5 + 24 = -1. Therefore, the vertex of the function is (-5,-1). So, the correct choice is B. (-5, -1).

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Answer:

[tex](x^{4}y^{6}+1)(x^{8}y^{12}-x^{4}y^{6}+1)[/tex].

Step-by-step explanation:

We want to expand: [tex]x^{12}y^{18}+1[/tex].

We can rewrite this as the sum of two cubes.

[tex](x^{4})^3(y^{6})^3+1=(x^{4}y^{6})^3+1^3[/tex].

Recall and use the sum of cubes identity: [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

By comparing our newly rewritten expression to this identity, we have [tex]a=x^4y^6[/tex] and [tex]b=1[/tex].

We substitute into the identity to get:

[tex](x^{4}y^{6})^3+1^3=[x^{4}y^{6}+1][(x^{4}y^{6})^2-(x^{4}y^{6})(1)+1^2][/tex].

We now use this rule of exponents :[tex](a^m)^n=a^{mn}[/tex]  to get;

[tex](x^{4}y^{6}+1)(x^{8}y^{12}-x^{4}y^{6}+1)[/tex].

[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{5}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{5}{4}\implies \cfrac{5}{4}}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-0}{2-(-2)}\implies \cfrac{5}{2+2}\implies \cfrac{5}{4} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-(-1)}{10-2}\implies \cfrac{9+1}{8}\implies \cfrac{10}{8}\implies \cfrac{5}{4}[/tex]

Answer: Im pretty sure it answer options 1 and 5

Step-by-step explanation: 1) (-2,0) and (2,5)      5) (2,-1) and (10,9)

its on edg.

Answer:730000

Step-by-step explanation:

Follow below steps;

To round the number 726,034 to the nearest ten thousand, we must look at the thousands digit, which is 2. Since 2 is less than 5, we do not round up, and thus, leave the ten thousands place as it is.

The number 726,034 rounded to the nearest ten thousand is 720,000. We can see that the thousand's digit is less than 5, so we round down. This process aligns with the rounding rule stating that if the number you are rounding is followed by 0, 1, 2, 3, or 4, you round the number down.

Answer:

53

Step-by-step explanation:

Let's make some equations.

The number is two-digit, so let's make it [tex]xy[/tex]

Also, the two digits add up to 8, so [tex]x+y=8[/tex]

Now the value of [tex]xy=10x+y[/tex]

and the value of [tex]yx=10y+x[/tex]

Since we know that when we reverse the digits the number is less than the resulting number by 18, we can formulate an equation.

[tex]10y+x=10x+y+18[/tex]

Solve this equation.

[tex]9y-9x=18[/tex]

[tex]9(y-x)=18[/tex]

[tex]y-x=2[/tex]

Now let's use the equation we made earlier.

Change [tex]x+y=8[/tex] into [tex]y=8-x[/tex]

Solve the system of equations.

[tex]y-x=2[/tex]

[tex]y=8-x[/tex]

[tex]8-x-x=2[/tex]

[tex]8-2x=2[/tex]

[tex]-2x=-6[/tex]

[tex]x=3[/tex]

[tex]y-3=2[/tex]

[tex]y=5[/tex]

So the original number is 53.

Answer:

C

Step-by-step explanation:

Answer:

Zero

Step-by-step explanation:

there is no solution the sides are uneven. if you solve for it 3x and 3x cancels out each other leaving you with -2=5

Answer:

Zero

Step-by-step explanation:

Periodt

Answer:

Yes

Step-by-step explanation:

The more you jump, the higher your blood flow becomes, since your heart needs to pump more blood to the working areas. This really doesn't belong in math though.

Answer: yes

Step-by-step explanation: but i am not that sure how i can explain it, here look at the guys answer above. Also thank the guy above, not me.

The best way to describe a ratio is option c, which is 'A comparison of two numbers'.

A ratio shows us the number of times a number contains another number. therefore, it helps us to compare two numbers.

As we have already discussed the ratio is the comparison of two numbers for a particular.

Hence, the best way to describe a ratio is option c, which is 'A comparison of two numbers'.

Learn more about Ratio:

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Answer:

15,36,39

Step-by-step explanation:

primitive pythag: 5, 12, 13 *3

Answer:

The Answer is D

Step-by-step explanation: