What are the roots of the function f(x) = x2 + 2x – 1? a. x = ± √ _ 2 b. x = − 1 ± √ _ 2 c. x = 2 ± √ _ 2 d. x = 1 ± √ _ 2

The reflection of the triangle JKL across the line x = 4 is equivalent to

equivalent to flipping the preimage across the line x = 4.

The correct coordinates are;

[tex]\underline{J'(7, \, -1)}[/tex]

[tex]\underline{K'(6, \, 3)}[/tex]

[tex]\underline{L'(5, -2)}[/tex]

Reasons:

The given transformation is a reflection about the line x = 4

The points of triangle JKL are J(1, -1), K(2, 3), and L(3, -2), in the line x = 4

Distance between x-coordinate of the point J and the line x = 4 is 4 - 1 = 3

Which gives;

Distance between x-coordinate of the point J' and the line x = 4 is 4 + 3 = 7

Therefore, the coordinate of the point J' is [tex]\underline{J'(7, \, -1)}[/tex]

Similarly, we have;

Distance between x-coordinate of the point K and the line x = 4 is 4 - 2 = 2

Distance between x-coordinate of the point K' and the line x = 4 is 4 + 2 = 6

The coordinate of the point K' is [tex]\underline{K'(6, \, 3)}[/tex]

Distance between x-coordinate of the point L and the line x = 4 is 4 - 2 = 2

Distance between x-coordinate of the point L' and the line x = 4 is 4 + 2 = 6

The coordinate of the point L' is  [tex]\underline{L'(5, -2)}[/tex]

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i put in -8,3 in each one only a and c were true

i put in -6, 2 in a and c and only a was true

answer : A

Step-by-step explanation:

what do you mean "what's the answer for this ?"

you only need to put 3 in place of x (that's what is meant by "x is 3" or x = 3) and then simply calculate.

you know what "squaring" ("something to the power of 2" or x²) means ? it means that you have to multiply that "something" by itself.

y = 3² + 11 = 3×3 + 11 = 9 + 11 = 20

that's all there is to this.

Answer:

the first one

10+n = 3n

Step-by-step explanation:

n is the number

and 3n means 3*n

Answer:  the answer the first one 10+n=3n

Step-by-step explanation:

n is the number

and 3n means 3*n

Answer:

what are you even learning?

Answer:

what is your topic in math class..?

Answer:

12 children

Step-by-step explanation:

For this problem we can look for the GCF

The 60's factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, and 60

Pretty sure you get it now

Anyways once we've done all of the Factoring we can look for the GCF

Which we would get as twelve

So the supplies can be distributed amongst 12 children equally

Answer:

i think the first question is yes and the second one is no

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 2, 10) and (x₂, y₂ ) = (8, - 10) ← 2 ordered pairs from the table

m = [tex]\frac{-10-10}{8-(-2)}[/tex] = [tex]\frac{-20}{8+2}[/tex] = [tex]\frac{-20}{10}[/tex] = - 2 → B

I don't know sorry.

Sorry!

5. 4/9 probability

Explanation; You would do (4/13)/(9/13) and that = 4/9.

5b. I don't really get it, it sounds like its asking the same thing.

I gotta go so i will finish later hopefully

Answer:

The polynomial x3 + 8 is equal to (x + 2)(x2 - 2x + 4).

Hi,

[tex] \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} [/tex]

[tex] \frac{2}{3} \times \frac{40}{1} = \frac{80}{3} [/tex]

2/3 of 40:

80/3

[tex] \frac{3}{5} \times \frac{45}{1} = \frac{135}{5} = 27[/tex]

3/5 of 45:

27

✅(. ❛ ᴗ ❛.)

Answer:

A= 26.67

B= 27

Step-by-step explanation:

2/3 x 40 = 26.67

(2×40= 80÷3 = 26.67)

and...

3/5 x 45 = 27

(3×45= 135÷5=27)

Hope this helped you- have a good day bro cya)

The answer is 7

Step-by-step explanation:

subtract 4 from 25 which is 21 than divide by 3 getting x =7

Answer:

x=7

Step-by-step explanation:

3x+4=25

3x=25–4

3x=21

X=21÷3

X=7

Answer:

See below...

Step-by-step explanation:

v * 7x = 7vx

8c * 6e = 48ec

3a * 4a = 12a^2

8xw * 2w = 18xw^2

8mn * 3m^2n = 24m^3n^2

4acx * 5ax^2 * 6c = 120a^2c^2x^3

4m * 4n = 16mn

3x * 4x = 12x^2

5w * 3wx = 15w^2x

6c * 5ac^2 = 30ac^3

9wx^2 * 6w^2x = 54w^3x^3

9a^2c * 4ac^2e^3 = 36a^3c^3e^3

Answer:

true

Step-by-step explanation:

true

The equivalent expression will be;

⇒ m + 13 = 18 - 4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ m + 17 = 18

Now,

Since, The expression is,

⇒ m + 17 = 18

Solve for m as;

⇒ m + 17 - 17 = 18 - 17

⇒ m = 1

For option (i);

The expression is,

⇒ m + 7 = 18 - 12

⇒ m + 7 = 6

⇒ m = - 1

For option (ii);

The expression is,

⇒ m + 6 = 18 - 10

⇒ m + 6 = 8

⇒ m = 2

For option (iii);

The expression is,

⇒ m + 17 - 2 = 17

⇒ m + 15 = 17

⇒ m = 2

For option (iv);

The expression is,

⇒ m + 13 = 18 - 4

⇒ m + 13 = 14

⇒ m = 1

Thus, The equivalent expression is,

⇒ m + 13 = 18 - 4

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The equivalent expression of m + 17 = 18 is determined as m + 13 = 18 - 4 (Option D).

An equivalent expression refers to a mathematical or algebraic expression that has the same value or meaning as another expression, despite potentially having a different appearance or form.

The equivalent expression is calculated as

m + 17 = 18

Solve for m as;

m + 17 - 17 = 18 - 17

m = 1

So we are going to solve all the equations and the one that has the value of m equal to 1 is the equivalent expression.

Solving for option (1)

m + 7 = 18 - 12

m = -1

Solving for option (4)

m + 13 = 18 - 4

m + 13 = 14

m = 1

Thus, the equivalent expression is m + 13 = 18 - 4

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Answer:

A: 720 miles

Step-by-step explanation:

Since in 2 hours he drives 120 miles we can calculate the rate for 1 hour by diving the miles by 2

1 hour he will have driven 60 miles

Since we are looking for how much would be driven in 12 hours we multiply 60 by 12. Giving us 720 miles in 12 hours

Given:

Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).

(a)If we translate  quadrilateral JKLM 3 units down and 3 units left:

(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)

Therefore, we match it with: A translation 3 units down and 3 units left

(b)If we translate  quadrilateral JKLM 2 units right and 3 units down:

(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)

Therefore, we match it with:A translation 2 units right and 3 units down

S(4, 16), T(10, 20), U(12, 12), and V(10, 10)

(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:

A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)

(d)If we translate  quadrilateral JKLM 3 units left and 2 units up:

(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)

Therefore, we match it with: A translation 3 units left and 2 units up

(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)

No suitable transformation is found from JKLM to STUV.

Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).

(a)If we translate quadrilateral JKLM 3 units down and 3 units left:

(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)

Therefore, we match it with: A translation 3 units down and 3 units left

(b)If we translate quadrilateral JKLM 2 units right and 3 units down:

(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)

Therefore, we match it with:A translation 2 units right and 3 units down

S(4, 16), T(10, 20), U(12, 12), and V(10, 10)

(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:

A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)

(d)If we translate quadrilateral JKLM 3 units left and 2 units up:

(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)

Therefore, we match it with: A translation 3 units left and 2 units up

(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)

No suitable transformation is found from JKLM to STUV.

Answer:

100 meters is 8.6 meters longer than 100 yards.

Step-by-step explanation:

Conversion of yards to meters.

Each yard has 0.914 meters.

So 100 yards is 100*0.9144 = 91.4 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

100 yards = 91.4 meters

100 - 91.4 = 8.6

So 100 meters is 8.6 meters longer than 100 yards.

Step-by-step explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:

y=mx+

lb

Where

m

is the slope and

b

is the y-intercept value.

y

=

−

4

x

+

1

Therefore, the slope of the line represented by the equation in the problem is:

m

=

−

4

Let's call the slope of a perpendicular line:

m

p

The slope of a perpendicular line is:

m

p

=

−

1

m

Substituting gives:

mp=

[tex] \dfrac{−1}{−4} = \dfrac{1}{4} [/tex]

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

→ Expand the brackets

5x + 2x - 8 = 5x + x - 10

→ Collect the x terms

7x - 8 = 6x - 10

→ Minus 6x from both sides

x - 8 = -10

→ Add -8 to both sides

x = -2

Step-by-step explanation:

[tex]\frac{rise}{run}[/tex]

Initially, as X increases, Y stays constant.

Then, between x = 3 and x = 5, the graph rises by 4 and runs by 2, or rises by 2 and runs by 1, so the slope is 2.

Between x = 5 and x = 9, the graph "rises" by -1 and runs by 1, so the slope is -1.

The greatest value of y is 4 at x = 5. (5, 4)

Answer:

Initially, as x increases, y remains constant.

Afterward, the slope of the graph of the function is equal to 2 for all x between x = 3 and x = 5.

The slope of the graph is equal to -1 between x = 5 and x = 9.

The greatest value of y = 4, and it occurs when x = 5.

Step-by-step explanation:

Slope = [tex]\frac{rise}{run}[/tex]

The rise is how much it increases by y (up or down), and the run is how much it increases by x (right or left).

From 3-5 the slope = [tex]\frac{4}{2}[/tex] =  2 → it goes up 2 units for every one unit right.

From 5-9 the slope = [tex]\frac{-4}{4}[/tex] = -1 → it goes down (-) 1 unit for every one unit right.

Answer:

a. f(0) = 4

b. f(6) = 8

Step-by-step explanation:

This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.

If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.

If x = 6, this would fall under the second part of the function because 5 [tex]\leq[/tex] x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.

Answer:

5. w ≠ 8

Step-by-step explanation:

#1 is the expression for "The amount of water is greater than eight ounces."  This technically means it differs from eight ounces, but it's too specific for what the question is asking.

#2 is the expression for "The amount of water is greater than or equal to eight ounces." It doesn't necessarily differ from eight ounces.

#3 is the expression for "The amount of water is less than eight ounces."  Same issue as #1.

#4 is the expression for "The amount of water is greater than eight ounces."  Same issue as #2.

#5 is the expression for "The amount of water is not equal to eight ounces." This is the correct expression as the only information we know is that it's not eight ounces.

Answer:

Length of three sides=3(25)=75ft

Cost per metre=15.00

Total cost:-

[tex]\\ \sf\longmapsto 15(15)=225.00[/tex]

Answer:

f(x)= 40x

Step-by-step explanation:

Hope this helps, have a nice day/night! :D

Number of marbles with Mallika = x

Number of marbles with Kishore = x (same number of marbles)

To get 100 marbles = x + x + 30

=》x + x + 30 = 100

2x + 30 = 100

2x = 100 - 30

2x = 70

x = 70/2

x = 35

■ Final answer =》Mallika & Kishore both have 35 marbles each.

■ Equation =》2x + 30 = 100

■ Equation type =》Linear equation in 1 variable

______

Hope it helps ⚜

The equation for the given situation will be;

⇒ 2x + 30 = 100

Where, 'x' is represent the number of marbles.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mallika and Kishore have the same number of marbles.

And, To have 100 marbles they must pool their marbles together and then get 30 more.

Now,

Since, Mallika and Kishore have the same number of marbles.

Hence, Let the number of marbles = x

So, We can formulate;

⇒ x + x + 30 = 100

⇒ 2x + 30 = 100

⇒ 2x = 100 - 30

⇒ 2x = 70

⇒ x = 35

Thus, Number of marbles each have = 35

And, The equation for the given situation will be;

⇒ 2x + 30 = 100

Where, 'x' is represent the number of marbles.

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Answer:

[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]

Step-by-step explanation:

To make "n" the subject of the formula, rearrange the formula so it begins with " n = "

To isolate the variable "n", you need to inverse the other terms on that side of the equation where "n" really is.

=> m = 5n - 21

=> m + 21 = 5n - 21 + 21

=> m+ 21 = 5n

[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]