8y - 5 < 3

Help please!!

Answer:

[tex] \sf \frac{(x^3+4x^2+21x+28)}{4}[/tex]

Step-by-step explanation:

Let's simplify step-by-step.

[tex] \sf \: \frac{ {x}^{2} + 4x - 21}{4} \times x + 7[/tex]

Distribute

[tex] \sf \frac{(x^3+4x^2+21x+28)}{4}[/tex]

Answer:

A) x + 3

      4

Step-by-step explanation:

[tex](\stackrel{x}{-2}~~,~~\stackrel{y}{27}) ~~ \textit{lies on }\textit{\LARGE f}\qquad \textit{so then}\qquad f(\stackrel{x}{-2})~~ = ~~\stackrel{y}{27}[/tex]

Answer: 6127mL

Step-by-step explanation:

6L 127mL=

6L+127mL=

6L*1000mL/1L + 127mL=

6*1000/1 mL + 127mL=

6*1000 mL + 127mL=

6000mL + 127mL=6127mL

Answer:

$50400

Step-by-step explanation:

5/100*4000=200+4000=4200*12=50400

Answer:

$4,368

Step-by-step explanation:

At the beginning of the first year, the principal (amount deposited) is $4000 at 4% interest.

The rate of interest in decimal is r = 4%/100 = 0.04

Interest for 1 year = P x r = 4000 x 0.04 = $160

So at the end of the first year, Marty's 4000 deposit will have grown to $4,000 + $160 = $4, 160

He deposits this amount into a new account at 5% interest
Interest rate r = 5%/100 = 0.05
Interest = 4160 x 0.05 = $208.00

Total money at the end of the second year = 4160 + 208 = $4,368

Substitute [tex]y=1+6\sqrt x[/tex] and [tex]dy=\frac{6}{2\sqrt x}\,dx=\frac3{\sqrt x}\,dx[/tex]. Then

[tex]\displaystyle \int \frac6{\sqrt x \left(1 + 6\sqrt x\right)^6} \, dx = \int \frac2{y^6} \, dy \\\\ ~~~~~~~~ = -\frac2{5y^5} + C \\\\ ~~~~~~~~ = \boxed{-\frac2{5\left(1+6\sqrt x\right)^5} + C}[/tex]

The degree of the polynomial,

2x³y²z+x²z is 3.

Degree of the polynomial is highest occurring power .

so , 3 is highest power so the degree of polynomial is 3.

A polynomial's degree is the largest exponential power in the polynomial equation. To determine the degree of any polynomial, just variables are evaluated; coefficients are ignored. The degree of a polynomial for an nth degree polynomial function with real coefficients and x as the variable with the largest power n, where n accepts whole integer values

A polynomial's degree is the maximum power of a variable in the polynomial equation. Only terms with variables are considered for determining the degree of a polynomial function. The degree of a polynomial is determined by the variable term with the largest exponential power in the polynomial.

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The height of a tree that can cast a shadow of 28. 16 ft is 35. 2 ft

From the information given, we have that;

To determine the proportion we represent the expression as;

If 3ft casts a shadow of 2. 4ft

Then x ft can cast a shadow of 28. 16ft

cross multiply

x = 28. 16 × 3/ 2. 4

Multiply the numerators

x = 84. 48/ 2.4

x = 35. 2 ft

Thus, the height of a tree that can cast a shadow of 28. 16 ft is 35. 2 ft

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Answer:

A = 5

B = 9

C = 32

Step-by-step explanation:

a. if the width of the scale factor 1 is 10, then the width of the scale factor 1/2 is 1/2 of 10. so 5.

b. same thing as a. the length for scale factor of 1 is 18 so the length for scale factor of 1/2 is 9.

c. width of scale factor 1 is 10, so width of scale factor 3.2, 10 times 3.2, is 32

Answer:

A = 5

B = 9

C = 32

Step-by-step explanation:

edg 2023

B rents for $1.62 per sq. feet is much cheap and better as compared to A

Yard and feet are used to estimate the length. Both of the units are used in the royal and US customary system of measurements. The value of one yard is equal to three feet.

To compute Square yard to Square Feet, where Square yard is equal to 9 Square Feet, multiply the value in Square yard by 9. one can also use the Square yard to Square Feet calculator.

1 yard² = 9 feet²

A rents for $27 per yard squared

hence A rents $27 for 9 feet squared

hence A rents $3 per feet squared( $27/9) which is costlier than $1.62 per feet squared

Hence B is better as it is cost effective.

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There are total 77 students in the sixth grade.

Given, there are 28 students that have braces.

out of which there are 4 students with braces for every 7 students.

Therefore, 4 ₊ 7 = 11, which means every 11 member has 4 members with braces.

Therefore, based on the given conditions, formulate:

28 × (4 ₊ 7) ÷ 4

28 × 11 / 4

now cross out the common factors.

7 × ( 11)

multiply the above terms.

77

hence we get the answer as 77 students in total in the class.

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The question that can be represented by the equation: ?× 1 5\8 = 1\3 is a. What fraction of the trip has Andre completed?.

It was stated that  from home to a festival that is 1 5\8 kilometers away, and later after some moments we were told that He takes a quick rest after walking 1\3 kilometers.

Then if we were to know the fraction of the trip has Andre completed, then the calculation will be ?× 1 5\8 = 1\3 which makes the option A that was chosen to be correct.

Therefore, option A  is correct.

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CHECK THE MISSING OPTIONS;

a. What fraction of the trip has Andre completed?

b. How many more kilometer does he have to walk to get to the festival?

c. What fraction of the trio is left.

d. How many kilometers is it from home to the festival and back home?

Answer: 4 because -24/-6=4

Step-by-step explanation: hope it helps, brainliest? i could really use it

-24 is the answer

Step-by-step explanation:

yhe higher a number is with a negative sign, the less it's value is.

Answer: The answer is 112

Step-by-step explanation: The answer is 112 degrees because anything that is on the opposite side of the line is equal!

Hope this Helps unu

Answer:

2.5n - 21.5

Step-by-step explanation:

[tex]-5(4 - \frac n2) + \frac1{16}(-32 + 8) \\ \\\to -5 \times 4 + 5 \times \frac n2 - \frac1{16} \times 32 + \frac1{16} \times 8 \\ \\\to -20 + \frac{5n}2 - \frac{32}{16} + \frac{8}{16} \\ \\\to -20 + 2.5n -2 + 0.5 \\ \\\to 2.5n - 21.5[/tex]

The slope of the line representing number of tests on the y-axis and the time in weeks on the x axis is 0.75.

As per the given question;

The total number of week is 36 weeks.

The total test conducted is 27.

As, number of tests are represented on the y-axis and the time in weeks on the x axis.

The slope is constant for the text and weeks.

Thus, slope (m) is determined  as;

m = Δy/Δx

m = number of tests/time in weeks

Put the values.

m = 27/36

m = 0.75

Therefore, the slope of the line representing number of tests on the y-axis and the time in weeks on the x axis is 0.75.

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The proportion of the bag of sweets are smarties is 1/6.

A proportion is an equation in which two ratios are set equal to each other.

Now it is given that,

There are 3 types of sweets in the bag.

Let s be number of the smarties sweet that Dan picks

c be the number of cola bottles  that Dan picks

and m be the number of marshmallows sweet that Dan picks

Now since, He picks 3 times as many cola bottles as smarties

Thus,

c = 3s

And, He picks twice as many marshmallows as smarties.

m = 2s

Now the total sweets in the bag = c + s + m

Substituting the value of c and s in the total sweets we get,

3s + s + 2s = 6s

Now, To find out the proportion of the bag of sweets that are smarties, divide the number of smarties by the total of sweets

Thus, the proportion of the bag of sweets are smarties = s/6s = 1/6

this is the required proportion of smarties in the bag.

Thus, the proportion of the bag of sweets are smarties is 1/6.

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Answer:

first blank 5 second blank 40 3rd blank 56

Step-by-step explanation:

if you distribute 7 you will get 5 so (5x8) + (2x8)

And (2x8)=16 and (5x8)=40 and 16+40=56 does this help?

Answer: 16.435 < 16.49

Step-by-step explanation:

Answer:

A. Vertex (-3, -1)

B. y-intercept: (0, 8)

C. x-intercept: (-2, 0), (-4, 0)

D. Domain: (-∞, ∞)

E. Range: [-1, ∞)

F. x = -3

G. Coordinates:

(-5, 3)

(-4, 0)

(-3, -1)

(-2, 0)

(-1, 3)

Step-by-step explanation:

y = x² + 6x + 8

   (x + 2)        (x + 4)

    x + 2 = 0   x + 4 = 0

         -2   -2       -4    -4

           x = -2        x = -4

x-intercept: (-2, 0), (-4, 0)

y-intercept: (0, 8)

y = x² + 6x + 8

y = (0)² + 6(0) + 8

y = 8

Vertex:

      a        b     c

y = x^2 + 6x + 8

       -b        -(6)      -6

x = ------- = ------ = ------ = -3

      2a        2(1)      2

y = x^2 + 6x + 8

y = (-3)^2 + 6(-3) + 8

y = 9 - 18 + 8 = -1

Vertex: (-3, -1)

Graph:

(I'm gonna try my best to draw it)

                         10-

                          9-

                          8-

                          7-

                          6-

                          5-

                          4-

                          3-

                          2-

 ↑         ↑             1-

--*---|-----*------|-------|-----|-----|-----|------|------|-----|-------|------|-------|------|

-4  -3   -2    -1              1     2    3     4      5     6      7      8      9    10

      *                -1  -    

                        -2 -

                        -3 -

                        -4 -

                        -5 -

                        -6 -

                        -7 -

                        -8 -

                        -9 -

                       -10 -

Range: (y-axis)

Min is y = -1

[-1, ∞)

I hope this helps!

The y-intercept of the function shown in the table is (0, 60). And it represents, Lily has $60 before begins buying Pokemon cards.

In this question, the table is a set of data showing how much money Lily has after buying Pokemon cards.

The data in the given table represents a linear function.

We need to find the y-intercept of the function.

We know that, the y-intercept is the point where the graph intersects the Y-axis

From given data we can clearly observe that for x = 0, y = 60

Here x is the number of Pokemon cards and y is the amount of money Lily has after buying Pokemon cards.

so, the y-intercept of the function shown in the table is 60.

Therefore,  the y-intercept of the function shown in the table is (0, 60). And it represents, Lily has $60 before begins buying Pokemon cards.

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The perimeter of tr8angle DEF that is similar to triangle ABC is: 18 cm.

If two triangles are similar to each other, and the perimeter of one is A with a side length of a, and the perimeter of the other is B with a side length of b, then, the following below is the ratio of their perimeters.

Perimeter of A/perimeter of B = a/b

Given that triangles ABC and DEF are similar triangles, we have the following:

Perimeter of triangle ABC = x

One side length of triangle ABC = 4 cm

Perimeter of triangle DEF = 12 + 6 + 9 = 27 cm

One side length of triangle DEF = 6 cm

Therefore:

x/27 = 4/6

Cross multiply

6x = (27)(4)

6x = 108

6x/6 = 108/6

x = 18

Thus, the perimeter of tr8angle DEF that is similar to triangle ABC is: 18 cm.

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Answer:

Step-by-step explanation:

yes

the net change in the rainfall was that it was above the normal by 4.79 inches.

We are given that,

the end of June, the rainfall was above the normal by 8.2 inches.

Above the normal = + 8.2 inches.

Also, after that, it was below the normal by 3.41 inches.

Below the normal = - 3.41 inches.

Now, we need to find the net change in the rainfall

net change in the rainfall = + 8.2 inches - 3.41 inches

net change in the rainfall = 4.79 inches.

Therefore, the net change in the rainfall was that it was above the normal by 4.79 inches.

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Answer:

9

Step-by-step explanation: