Is the relationship linear? How do you know?

Answer:

(f-g)(x)= f (x)- g (x) =4^x -1 +6 -(2x-5)

=4^x +5 -2x +5

=4^x -2x +10

Step-by-step explanation:

1)

2x - 3y = - 1

For y = x - 1

So,

2x - 3y = - 1, Subsitution

2x - 3(x - 1) = - 1

2x - 3x + 3 = - 1

- x + 3 = - 1

- x = - 1 - 3

- x = - 4

x = 4 ✔

y = x - 1

y = 4 - 1

y = 3 ✔

So => HP = {x, y} = {4, 3}

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Answer:

90 more minutes

Step-by-step explanation:

108÷12=9

9x13=117

9x9=81

117-108=9

81+9=90 more minutes

Answer:

90

Step-by-step explanation:

Answer:

[tex]9909^2\\[/tex]

or

[tex]98188281[/tex]

Answer:

16777216

Step-by-step explanation:

64 times 64 equals 4096. 4096 to the power of 2 is 16777216.

Answer:

The answer is option 3.

Step-by-step explanation:

When both lines are parallel, they will have the same gradient. In a linear equation, y = mx + b where m represents gradient and b is y-intercept :

Let m = -1, b = 1

y = -1x + 1

Answer:

the answer is option 3 like the first person said. no trollin

Step-by-step explanation:

Since a^2 - b^2 = 1, the value of y = 1 because x=1 and 1^2 - 1^2 = 0

Answer:

y=6x+9

Step-by-step explanation:

y=mx+b

add 6x on both sides

Answer:

50 divided by 1

Step-by-step explanation:

this is the answer!!!!!

Answer:

I would say a 20, 30-ish degree angle, maybe 45 degrees, somewhere in that continuum

Answer:

12(p+4)

Step-by-step explanation:

The greatest common factor of expressions is the highest divisor that can divide both expressions

The equivalent expression of  12p+48 is 12(p - 4)

The expression is given as:

[tex]\mathbf{12p + 48}[/tex]

Express 48 as 12 * 4

[tex]\mathbf{12p + 48 = 12p - 12 \times 4}[/tex]

Express 12p as 12 * p

[tex]\mathbf{12p + 48 = 12 \times p - 12 \times 4}[/tex]

Factor out 12 from the expression on the right-hand side

[tex]\mathbf{12p + 48 = 12 \times (p - 4)}[/tex]

Remove the product sign

[tex]\mathbf{12p + 48 = 12 (p - 4)}[/tex]

Hence, the equivalent expression is 12(p - 4)

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Answer:

both are correct

Step-by-step explanation:

both are correct because they're the same equation...Gabriels equation is just simplified. If you simplified his sisters equation, it would be equal to Gabriels equation

*attachment contains the missing diagram

Answer/Step-by-step explanation:

Given that RP ⟂ QS, <RPS is a right angle.

Therefore, m<RPS = 90°

Since RP bisects <SRQ, therefore m<PRS = ½ of m<SRQ.

Therefore:

m<PRS = ½*104°

m<PRS = 52°

m<S + m<RPS + m<PRS = 180° (sum of ∆)

m<S + 90° + 52° = 180° (substitution)

m<S + 142 = 180°

Subtract 142 from each side

m<S = 180° - 142°

m<S = 38°

Answer:

1499

5

(Decimal: 299.8)

Step-by-step explanation: =

300

1

−

20

100

=

300

1

+

−20

100

=

300

1

+

−1

5

=

1500

5

+

−1

5

=

1500+−1

5

Answer:

1. 10

2. 10

3. 12

4. [tex]3\sqrt{14}[/tex] or 11.22497216

Step-by-step explanation:

1.  [tex]a^{2}+b^{2} =c^{2}\\\\a^{2} = 8^{2} = 64\\b^{2} = 6^{2} = 36\\c^{2} = a^{2} + b^{2} = 64 + 36 = 100\\c = \sqrt{100} = 10[/tex]

2. [tex]c^{2}-a^{2} =b^{2}\\\\a^{2} = 24^{2} = 576\\c^{2} = 26^{2} = 676\\b^{2} = c^{2} - a^{2} = 676 - 576 = 100\\b = \sqrt{100} = 10[/tex]

3.[tex]c^{2}-a^{2} =b^{2}\\\\a^{2} = 5^{2} = 25\\c^{2} = 13^{2} = 169\\b^{2} = c^{2} - a^{2} = 169 - 25 = 144\\b = \sqrt{144} = 12[/tex]

4. [tex]c^{2}-b^{2}=a^{2}\\\\b^{2} = 11^{2} = 121\\c^{2} = \sqrt{137}^{2} = 137\\a^{2} = c^{2} - b^{2} = 137 - 11 = 126\\a = \sqrt{126} = 3\sqrt{14} = 11.22497216[/tex]

Answer:

f(x) = 86(1.01)^7x; They grow at approximately the rate of 1% per day.

Step-by-step explanation

86 is the number of weeds at the starting point of the question.

8/7% each day,   7 being the total number of days in the week, the weekly growth 8%:  1 day is 8/7% growth or 1.14% rounded up to 1%

In the original equation the 8% growth was represented by 1.08

Substituting the weekly rate of 8% with the daily rate of 1%, or 1.08 with 1.01 the new function is:

f(x) = 86(1.01)^7x

Answer:

4

Step-by-step explanation:

just Add four every time hopes it help : )

Answer:

Correct option is "Both boys are correct".

Step-by-step explanation:

The equation is:

6x - 2 = -4x + 2

        6x - 2 + 4x = -4x + 2 + 4x

        10x - 2 = 2

        10x = 4

         x = 0.40

        6x - 2 - 6x = -4x + 2 - 6x

        - 2 = -10x + 2

        10x = 4

         x = 0.40

Correct option is "Both boys are correct".

Answer:

The length of RS is 47 units

Step-by-step explanation:

Midsegment Theorem

The midsegment of a trapezoid is a line segment that connects the midpoints of the non-parallel sides.

The length of the midsegment of a trapezoid is the average of the lengths of the bases.

The midsegment of the given trapezoid is VW, and the bases are RS and UT.

According to the midsegment theorem:

[tex]\displaystyle VW=\frac{RS+UT}{2}[/tex]

Substituting the variable lengths of the sides:

[tex]\displaystyle 3x+5=\frac{2x+15+6x-37}{2}[/tex]

Operating:

[tex]\displaystyle 3x+5=\frac{8x-22}{2}[/tex]

Dividing the fraction:

[tex]3x+5=4x-11[/tex]

Rearranging:

[tex]4x-3x=5+11[/tex]

Operating:

x=16

The length of RS is:

[tex]RS=2x+15=2*16+15=32+15=47[/tex]

The lenght of RS is 47 units

Answer:

9,7

Step-by-step explanation:

subtract 6 from 15 and 9 from 16

Answer:

if this is on Imagine Math then its the first answer

Step-by-step explanation:    got it right!

The correct choices to represents the function, h is shown in figure.

⇒ h (x) = 4x - 2

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

This diagram represents a function named h.

Now, We have;

The correct equation to represent the equation is,

h (x) = x × 4 + 9- 2)

h (x) = 4x - 2

Hence, We can draw the equation of line and find that the correct choices to represents the function, h

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Answer:

3 miles

Step-by-step explanation:

122/2 is 61

64 plus 32 is 96. 96/1.5 is 64 meaning that she goes 64 miles an hour.

so she goes 3 miles faster on average than latrell, with latrell going 61 an hour average and her going 64 an hour average

Answer:

Tisha is faster than Latrell by 3 miles/hour

just did the math

The numbers that divide 330 are 2, 3, 5 and 11.

In order to find divisibility, there are certain rules for different numbers. If a number is divisible by two numbers then it is also divisible by their product.

The given number is 330.

The divisibility rules for the number given can be applied one by one as follows,

Divisibility for 2,

For a number to be divisible by 2 its unit digit must be 0, 2, 4, 6 or 8.

Thus, 330 is divisible by 2.

Divisibility for 3,

For a number to be divisible by 3 sum of the digits of the number must be divisible by 3.

Since sum of the digits of 330 is 6 which is divisible by 3, 330 is also divisible by 3.

Divisibility for 5,

A number should either end with 0 or 5 in order to be divisible by 5.

Thus, 330 is divisible by 5 as it ends with 0.

Divisibility for 7,

For a number to be divisible by 7, the digit at ones place multiplied by 2 and then subtracted from the remaining digits must be divisible by 7.

Here, in 330 this rule is applied as,

33 - 2 × 0 = 33

Since 33 is not divisible by 7, 330 is also not divisible.

Divisibility for 11,

The difference of the sum of the digits at even place to the odd place must either be zero or divisible by 11.

In 330, 3 + 0 - 3 = 0.

Thus, 330 is divisible by 11.

Hence, the given number 330 is divisible by 2, 3, 5 and 11.

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Answer:

try your best

Step-by-step explanation:

Answer:

for a its 4/6 and for b its 2/4

Step-by-step explanation:

Answer:

[tex]NK \approx 7.001[/tex], [tex]MK = 2[/tex], [tex]MF \approx 7.001[/tex], [tex]A_{AMNFD} = 49.007[/tex]

Step-by-step explanation:

According to the statement, we find the following inputs:

[tex]\angle MDK = \angle DMF = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)

[tex]MD = 9[/tex]

[tex]NF = 5[/tex]

Given than longer base and shorter base are parallel to each other, we conclude that:

[tex]\angle KND = 180^{\circ} -\angle NKD - \angle KDN[/tex]

[tex]\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}[/tex]

[tex]\angle KND = 45^{\circ}[/tex]

[tex]\angle FND = 90^{\circ}-\angle KND[/tex]

[tex]\angle FND = 45^{\circ}[/tex] (By definition of complementary angles)

[tex]\angle FND = \angle NFM = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)

[tex]\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}[/tex]

[tex]\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}[/tex] (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)

[tex]MO = DO = \frac{\sqrt{2}}{2}\cdot MD[/tex] (By theorem for 45-45-90 Right Triangle)

[tex]NO = OF = \frac{\sqrt{2}}{2}\cdot NF[/tex] (By theorem for 45-45-90 Right Triangle)

If we know that [tex]MD = 9[/tex] and [tex]NF = 5[/tex], then we find that:

[tex]DO = MO \approx 6.364[/tex]

[tex]NO = OF \approx 3.536[/tex]

The value of MK is obtained from the following relationship:

[tex]MK = \frac{MD-NF}{2}[/tex]

[tex]MK = \frac{9-5}{2}[/tex]

[tex]MK = 2[/tex]

And the value of KD is calculated from this expression:

[tex]KD = MD-MK[/tex]

[tex]KD = 9-2[/tex]

[tex]KD = 7[/tex]

Now by the Pythagorean Theorem we find that:

[tex]NK = \sqrt{(NO+DO)^{2}-KD^{2}}[/tex]

[tex]NK = \sqrt{9.9^{2}-7^{2}}[/tex]

[tex]NK \approx 7.001[/tex]

And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:

[tex]MF = NO + DO \approx 7.001[/tex]

Lastly, the area of the isosceles trapezoid is determined by the following formula:

[tex]A_{AMNFD} = NF\cdot NK + MK\cdot NK[/tex]

[tex]A_{AMNFD} = NK\cdot (NF+MK)[/tex]

If we know that [tex]NK \approx 7.001[/tex], [tex]NF = 5[/tex] and [tex]MK = 2[/tex], then the area of the figure is:

[tex]A_{AMNFD} = (7.001)\cdot (5+2)[/tex]

[tex]A_{AMNFD} = 49.007[/tex]

Answer:

-3

Step-by-step explanation:

The formula is (3)+3(-2) and when you solve it it equals -3.

Answer:

-3

Step-by-step explanation:

3 + (3 x -2)

3 + (-6)

-3

Answer:

x=-5

Step-by-step explanation:

4x-2x = -10

2x = -10

x= -5

The solution for the equation 4x - 10 = 2x is x=-5.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression will be solved as:-

4x + 10 = 2x

Take the variables in the same side and solve for the value of x.

4x-2x = -10

Subtract the term 2x from the term 4x to get the value of x.

2x = -10

Divide the number -10 by 2 to get the exact value of x.

x = -5

Therefore, the solution for the equation 4x - 10 = 2x is x=-5.

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