Find the gradient of the line l1 which has equation 4x-3y+5=0 .

Answer:

1) 10

2) 16

Step-by-step explanation:

1) 2x+15=37-2

2x+15=35

2x=35-15

2x=20

2 2

x=10

2)10x-8=9x+8

10x-9x=8+8

x=16

Hope this helps ❤

Answer:

[tex]245[/tex] [tex]cm^{2}[/tex]

Step-by-step explanation:

If Every side is 7cm, that means that every side is congruent to the other.

So,

[tex]7[/tex]×

There are basically 5 squares, counting the one in the middle.

So, we will multiply 49 by 5.

[tex]5[/tex]×[tex]49[/tex]=[tex]245[/tex] [tex]cm^{2}[/tex]

Hence, your answer will be [tex]245[/tex] [tex]cm^{2}[/tex]

Step-by-step explanation:

The least number is 11

N = 11

99 x n = 99 x 11 = 1089

Which is a perfect square

Answer:

B(x) = 2x + 3

Step-by-step explanation:

Given:

Amount used = 3 GB   (constant term)

Additional amount for each stream = 2 GB  (slope)

Total bandwidth used for x streams

B(x) = 2x + 3

Answer:

44

Step-by-step explanation:

Tan v=opp/adj 18s/19s=0.947

v=44 degrees (approximately)

angle T=180 - (90+44)

angle T= 46

Answer:

[tex]m\angle 1 =105^\circ\\m\angle 2 =75^\circ[/tex]

Step-by-step explanation:

The diagram is drawn and attached below.

From the diagram

[tex]m\angle 2 =75^\circ $ (Alternate Angles)[/tex]

[tex]m\angle 1+ m\angle 2 =180^\circ $ (Sum of angles on a straight line)\\m\angle 1+75^\circ =180^\circ\\m\angle 1 =180^\circ-75^\circ\\m\angle 1 =105^\circ[/tex]

Answer:

m<2: 75

m<1: 105

Step-by-step explanation: On edge 2021

Hope this helps!

Answer: x=6, y=20

Step-by-step explanation:

Since ΔBCD and ΔTUS are congruent triangles, we can set the sides equal to each other.

y=2y-20                           [subtract both sides by 2y]

-y=-20                              [divide both sides by -1]

y=20

--------------------------------------------------------------------------------------

3x+32=9x-4                    [add both sides by 4, and subtract both sides by 3x]

36=6x                              [divide both sides by 6]

x=6

Answer:

xy=10

Step-by-step explanation:

Vary inversely means x and y have a constant product.  The graph is not a straight line.  We find the product from the given set of values a=2, b=5 to get ab=10.  Therefore xy=10 is the equation.

Answer:

Step-by-step explanation:

8x² + 7x - 1 = 0

Rewrite 7x as a difference

That's

8x² + 8x - x - 1 = 0

Factorize

8x( x + 1) - ( x + 1) = 0

(8x - 1)( x + 1) = 0

8x - 1 = 0 x + 1 =0

8x = 1 x = - 1

x = 1/8

The solutions are

Hope this helps you

Answer:

B

Step-by-step explanation:

YOu have to take out hte inches so now we have A and B. But, the inches cancel out so we get B.

Answer:

C. 15/16

Step-by-step explanation:

A. Divide by 3

B. Divide by 5

C. Can't divide by anything.

D. Divide by 4

Answer:

C

Step-by-step explanation:

21/24 = 7/8

35/40 = 7/8

7/8 ≠ 15/16

14/16 ≠ 15/16

28/32 = 7/8

Answer:

The initial value of the computer

Explanation:

The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.

Answer:

Option (B)

Step-by-step explanation:

Let the five distinct positive integers are a, b, c, d, e.

Average of these five integers is 20.

[tex]\frac{a+b+c+d+e}{5}=20[/tex]

a + b + c + d + e = 100

If these integers are in the increasing order,

Median of these integers 'c' = 12

If the sum of d and e is the largest then the sum of a and b will be the smallest.

Therefore, the smallest positive integers a and b will be,

a = 1 and b = 2

1 + 2 + 12 + d + e = 100

15 + d + e = 100

d + e = 100 - 15

d + e = 85

Since d will be greater than the median c,

d > c

d > 12

For the largest value of integer 'e', value of 'd' will be minimum.

The least value of d will be = 13

Then, 13 + e = 85

e = 85 - 13

e = 72

{a, b, c, d, e} = {1, 2, 12, 13, 72}

Therefore, the largest possible number is this set will be 72.

Option (B) will be the answer.

Answer:

The radicals should be negatives of each  other

Step-by-step explanation:

When we get solutions that are radicals, they have to be in the form

a+ sqrt(b) and a- sqrt(b)

His answer is a + sqrt(b) and -a - sqrt(b)

Answer:

78/4=19.5, 68/7=9.71, 98/6=16.3

Step-by-step explanation:

Answer:

Average rate of change in dollars per year between years 15 to 20 is:

$5300 per year.

Step-by-step explanation:

Given that:

Initial Investment, P  = $5000

Formula:

[tex]A(t) = P(1.06)t[/tex]

To find: If James invests $5000,

average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20=?

Solution:

First of all, let us find out A(15) and A(20):

Putting t = 15 first,

[tex]A(15) = 5000(1.06)\times 15 ....... (1)[/tex]

Putting t = 20,

[tex]A(20) = 5000(1.06)\times 20 ....... (2)[/tex]

Average rate of change / year is defined as:

[tex]\dfrac{\text{Change in value of A}}{\text{Number of years}}[/tex]

So, required rate of change:

[tex]\dfrac{A(20)-A(15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 20-5000 \times 1.06 \times 15}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times (20-15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 5}{5}\\\Rightarrow 5000 \times 1.06\\\Rightarrow \$5300\ per \ year[/tex]

So, the answer is:

Average rate of change in dollars per year between years 15 to 20 is:

$5300 per year.

Answer:

Angle B =  75 degrees

AC =  35.7

BC =  9.6

Step-by-step explanation:

Angle A = 15 degrees (given)

Angle C = 90 degrees (given)

c = 37 (given)

Angle B = 90-15 = 75 degrees

AC = AB cos(A) = 37 cos(15) = 35.7

BC = AB sin(A) = 37 sin(15) = 9.6

Answer:

Hey there!

We want to change the equation for each line into slope intercept form, or y=mx+b form.

Luckily, the first one is already in slope intercept form.

The second line can be converted to: y=-3/4x-7/4.

The third line can be converted to: -8y=-6x+4, or y=3/4x-1/2

Line one and line two are neither perpendicular or parallel.

Line one and line three are perpendicular.

Lines two and three are neither perpendicular or parallel.

This is because parallel lines have same slope, and perpendicular lines have opposite reciprocal slopes.

Hope this helps :)

Answer:

Line 1 and Line 2: Neither

Line 1 and Line 3: Perpendicular

Line 2 and Line 3: Neither

Step-by-step explanation:

To make the answering process easier, begin by converting each formula into the format y = mx +b:

Line 1: y = -4/3x + 1 (already in format)

Line 2:

-4y = 3x + 7

Divide all terms by -4:

y = -3/4x - 7/4

Line 3:

6x - 8y = 4

Subtract both sides by 6x:

-8y = -6x + 4

Divide all terms by -8:

y = 3/4x - 1/2

We can determine the relationships of the lines:

Line 1 and Line 2: Neither. They do not have the same slope, and they are not opposite reciprocals of each other.

Line 1 and Line 3: Perpendicular. The slopes of each line are opposite reciprocals: (-4/3 and 3/4)

Line 2 and Line 3: Neither. The slopes are the same but one is negative.

Answer:

92

Step-by-step explanation:

Given

Scores: 85, 78, 81

Required

Determine the least score in 4th subject is average must be at least 84

To solve this, we'll make use of Mean formula.

Mean = Sum of observations/Number of observations

We have that; Average = 84

Number of subjects = 4

Let the 4th subject be represented by F;

So, the sum of the four Subjects is:

Sum = 85 + 78 + 81 + F

Sum = 244 + F

Substitute these values in the above formula.

84 = ¼(244 + F)

Multiply both sides by 4

4 * 84 = 4 * ¼(244 + F)

336 = 244 + F

Subtract 244 from both sides

336 - 244 = 244 - 244 + F

92 = F

F = 92

To have an average of at least 84, Su's score must be atleast 92

Answer:

640 fl oz

Step-by-step explanation:

80 divided by 10 is 8. So each serving for a jar that hold 80 fl oz contains 8 fl oz.

So you would multioply 80 by 8 to find the amount of juice needed for 80 servings.  80*8= 640

Answer:

$15,000,000

Step-by-step explanation:

Fórmula de intereses = P × R × T

P = $15,000,000

R = 30% anual = 0.3

T = 8 meses = 8/12 = 0.6667

Intereses = $15,000,000 × 0.3 × 0.6667

Intereses = $3,000,000

Después de 8 meses, el monto a pagar = $15,000,000.00+ $3,000,000

= $18,000,000

Si hace un pago de $3,000,000 dentro de 2 meses, cuánto deberá pagar al cabo de los 8 meses si se considera una tasa de 30% anual

= $18,000,000 - $3,000,000

= $15,000,000

Responda:

P (verde) = 8/15

P (vermelho) = 1/3

P (azul)). 2/15

P (verde ou azul) = 2/3

P (não verde) = 7/15

Explicação passo a passo:

Dado o seguinte:

Número de bolas verdes = 8

Número de bolas vermelhas = 5

Número de bolas azuis = 2

N (verde) = 8

N (vermelho) = 5

N (azul) = 2

Portanto, número total de bolas;

N (total) = 8 + 5 + 2 = 15

Probabilidade = número de resultados requeridos / Total de resultados possíveis

1.) Probabilidade de escolher uma bola verde:

P (verde) = número de bolas verdes / número total de bolas

P (verde) = 8/15

2.) Probabilidade de pegar uma bola vermelha: P (vermelho) = número de bolas vermelhas / número total de bolas

P (vermelho) = 5/15 = 1/3

3) Probabilidade de pegar uma bola azul:

P (azul) = número de bolas azuis / número total de bolas

P (azul) = 2/15

4) probabilidade de verde ou azul:

P (verde ou azul) = P (verde) + p (azul)

P (verde ou azul) = 15/8 + 2/15 = 10/15 = 2/3

P (não verde) = 1 - P (verde)

P (não verde) = 1-8/15

P (não verde) = 7/15

Answer: y = (-3x/2) + 1

Step-by-step explanation:

From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.

Hence the equation will be

y = (-3x/2) + c

As this line passes through (-2,4), putting these values in this equation gives  c = 1.

Hence the answer is y = (-3x/2) + 1

Answer:

c. 38

Step-by-step explanation:

Answer:

x= 48

Step-by-step explanation:

x∝ y

x= ky

24= 8k

k= 3

Now solve for x

x= ky

x= 3x 26

x= 48

I hope it helped

Answer:

Option C.

Step-by-step explanation:

In a linear function, the change in y-values with respect to x-values is constant.

We need to find table from the given tables which represents a non-linear function.

In option A, x is increasing by 1 unit and y is decreasing by 1 unit. So, rate of change is constant.

In option B, x is increasing by 1 unit and y is decreasing by 1 unit. So, rate of change is constant.

In option C, x is increasing by 1 unit but y is not decreasing by same units. So, rate of change is not constant.

In option D, x is increasing by 1 unit and y is increasing by 1 unit. So, rate of change is constant.

Only in option C, the rate of change is not constant. So, it represents a non-linear function.

Therefore, the correct option is C.

Answer:

The Correct Answer would be C

Step-by-step explanation:

Answer:

a. 17

b. 50

c. 9

Step-by-step explanation:

Simply replace the variables with the given numbers:

3(5) + 2

15 + 2

17

2(5)²

2(25)

50

(5 - 2)²

3²

9

Answer:

a) 17

b) 50

c) 9

Step-by-step explanation:

x = 5; y = 2

a) 3x + y

b) 2x^2

c) (x - y)^2

a) 3x + y = 3(5) + 2 = 15 + 2 = 17

b) 2x^2 = 2(5^2) = 2(25) = 50

c) (x - y)^2 = (5 - 2)^2 = 3^2 = 9

Answer:

The answer is B. 12,34 cm .....:)