Quadratic functions 2. Did I do it right

Answer:

4 miles in 1 day

Step-by-step explanation: Multiply 8 by the numerator for how many miles of road; That is how many halves of miles are built in a single day. Simplify that and they build 4 miles of road a day.

Answer:

p=13

Step-by-step explanation:

set 7p-1=90. Add 1 to 90 to get 7p=91. 91/7 equals 13

Answer:

This problem of equations involving surds can be solved by :

Firstly,square both sides of the equation to do away with the surd

(√x+3)²=(x-3)²

Next,we do away with the surd or let me put it as sign of square root and FOIL out the RHS

x+3=x²-6x+9

Rearranging leads to:

x²-6x-x+9-3=0

x²-7x+6=0 which factorises to:

(x-6)(x-1)=0

Finding the zeros leads to

x=6 or 1

We now conduct a test to see which value(s) of x satisfy the equation

√6+3=6-3

√9=3

3=3, so x=6 is true

Now for 1,

√1+3=1-3

√4 is not equal to -2

Therefore we conclude that x=6

Answer:

The capacity of the cistern is [tex]1.2231~m^3[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]

Step-by-step explanation:

Volume

The volume of a rectangular box of dimensions x,y,z is given by:

V = x.y.z

The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:

[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]

The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:

1.35 - 0.025 = 1.325 m

1.08 - 0.025 = 1.055 m

0.90 - 0.025 = 0.875 m

The internal volume is:

[tex]V_i=1.325*1.055*0.875[/tex]

[tex]V_i=1.2231~m^3[/tex]

The capacity of the cistern is 1.2231~m^3

The volume of iron used is the difference between the external and the internal volumes:

[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]

[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]

Answer:  40% of 60 = 24

Answer:

Part A

x = 8

Part B

AM = 64 cm

Part C

BM = 64 cm

Part D

AB = AM + BM

Step-by-step explanation:

Consider the line segment below.

АM = (7x + 8) cm

BM = (9x – 8) cm

Part A - If AB is 128 centimeters long, what is the value of x?

AB = AM + BM

128 = (7x + 8) + (9x - 8)

128 = 7x + 9x + 8 - 8

128 = 16x

x = 128/16

x = 8

Part B - What is the length of AM?

АM = (7x + 8) cm

AM = 7(8) + 8 cm

AM = 56 + 8 cm

AM = 64 cm.

Part C - What is the length of BM?

BM = (9x – 8) cm

BM = 9 × 8 - 8 cm

BM = 72 - 8 cm

BM = 64 cm.

Part D - Is point M the midpoint of AB? Justify your answer.

A.............. M............... B

Hence: From the Above illustration,

M is the Midpoint because it divided AB into 2 equal parts

= AM and BM

Hence:

AB = AM + BM

Answer:

144

Step-by-step explanation:

(3 × 4)² = 144

You solve 3 × 4 first because parentheses come before exponents in PEMDAS.

Answer:

-19

Step-by-step explanation:

Answer:

2.15 ounces

Step-by-step explanation:

The total ounces of nuts in the bag is calculated as:

20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.

From the question we are told that these amounts make 26 bags.

The number of ounces that are in each bag is calculated as:

26 bags = 55.9 ounces

1 bag = x ounces

Cross Multiply

26 bags × x ounces = 1 bag × 55.9 ounces

x ounces = 1 bag × 55.9 ounces/26 bags

x ounces = 2.15 ounces

Therefore, there are 1.94 ounces in each bag

Answer:

Andy gets 60

Polly gets 30

Phoebe gets 180

Answer:

[tex]m=1[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, -1)

Point (1, 0)

Step 2: Find slope m

Answer:

-4

6x+29=5

6x=5-29

6x=-24

x=-4

Answer

es-4

Step-by-step explanation:

Answer:

Turkey is more popular

Step-by-step explanation:

Turkey is more popular

From the given information:

We are being informed that 9% of the people said turkey;  &

7/100  said mashed potatoes.

The percentage of people that chose mashed potatoes = 7%

This implies that, in the given survey, the percentage of people who chose turkey is quite higher than those who chose mashed potatoes which makes turkey to be more popular.

Answer:

(x-1)^2=0#

Explanation:

#x^2-2x+1=0#

Let's start by subtracting #1# from both sides so that the #x# terms are isolated:

#x^2-2x=-1#

Now, let's compute #(b/2)^2# and add it to both sides of the equation:

#(b/2)^2=(-2/2)^2=1#

#x^2-2x+1=-1+1#

Let's factorize the left hand side and simplify:

#(x-1)(x-1)=0#

#(x-1)^2=0#

Answer:

[tex]\frac{11}{16}[/tex]

Step-by-step explanation:

[tex]-\frac{3}{8}[/tex] + x = [tex]\frac{5}{16}[/tex]

x = [tex]\frac{5}{16}[/tex] - ( [tex]-\frac{3}{8}[/tex] ) = [tex]\frac{5}{16}[/tex] + [tex]\frac{3}{8}[/tex] = [tex]\frac{5 + 6}{16}[/tex] = [tex]\frac{11}{16}[/tex]

x = [tex]\frac{11}{16}[/tex]

-3/8=5/16

put x after -3/8 to find 5/16

-3/8+x=5/16

find x

move -3/8 to the other side

sign changes from -3/8 to 3/8

-3/8+3/8+x=5/16-3/8

x=5/16-3/8

find the common denominator which is 16

multiply by 2 for -3/8

(-3)(2)=-6

(8)(2)=16

x= 5/16--6/16

negative sign and negative sign= +positive sign

x= 5/16+6/16=11/16

answer: x=11/16

Answer:

[tex]y = \frac{4}{3}x + 15[/tex]

Step-by-step explanation:

•First we must find out how many inches of snow melted so we can find the slope.

15 inches - 12 inches = 3 inches

•The snow melts 3 inches every 4 hours. This statement can be rewritten as:

[tex]\frac{4}{3}[/tex]

•We know that the snow started at 15 inches so that will be our y-int.

•Now we can start combining these terms to create an equation.

[tex]m = \frac{4}{3}[/tex]

[tex]b = 15[/tex]

•All we have to do is substitute these terms for the corresponding variables.

[tex]y = mx +b[/tex] →  [tex]y = \frac{4}{3}x + 15[/tex]

[tex]y = \frac{4}{3}x + 15[/tex]

Let's ignore the four corners for now.

Along the top, the length is 145 cm. Each tile is 25 mm, which is equivalent to 2.5 cm. So she'll need 145/2.5 = 58 tiles across the top

Similarly, she'll also need 58 tiles across the bottom as well because that length is also 145 cm.

Along the left side, she'll need 75/2.5 = 30 tiles and the right side is the same story.

So far we calculate 58+58+30+30 = 176 tiles

Add in the four corners to get 176+4 = 180 tiles total

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

A quicker method is to divide the perimeter (440 cm) over the side length of each tile (2.5 cm) and we get 440/2.5 = 176, which represents the number of tiles along the top, bottom, left and right sides. Again we're ignoring the corners. So we'll have to add them back in to get 176+4 = 180.

Answer: (1,-5)

Step-by-step explanation:it’s the answer

Answer:

[tex]4x^{6} - 24x^{4} + 36x^{2}[/tex]

Step-by-step explanation:

Answer:

Horizontal axis is X

Vertical Axis is Y

You can graph points that are not whole numbers, you just have to add more lines or estimate where the point may be

Battleship maybe? Or like the longitude and latitude on a map?

A map is a real-world example of a coordinate plane.

A coordinate plane is a rectangular plane consisting of a horizontal and a vertical axis.

On a coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.

To graph the points that are not whole numbers, use the grid lines on the graph to estimate the position of the point.

A map is a real-world example of a coordinate plane.

Learn more about the coordinate planes:

https://brainly.com/question/24134413

#SPJ3

Answer:

1/10

I hope this helps!

Answer:

1/10

Step-by-step explanation:

6/20, 5/20, 4/20, 3/20 2/20

well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)

Answer:

It is not a function thats all I know sry

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

when you divide a fraction, you actually multiply by the reciprocal

Answer:

The correct answer is A, 4/5 x 5/4.

Step-by-step explanation:

I just remember to Keep Change Flip which means keep the first fraction exactly how it is, change the sign to a division sign, and flip the last fraction. So, go from 4/5 ÷ 4/5 = 4/5 x 5/4.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

Answer:

D

trust me I got it right

Answer:

48+x=75

Step-by-step explanation:

Subtract 48 from both sides. 75-48 is equal to 27. x=27

Answer:

x [tex]\geq[/tex] 27

Sally has to complete at least 27 more hours

Step-by-step explanation:

Let x represent the number of hours she will complete next

Since students need at least 75 hours, use a greater than or equal to sign.

The total number of hours that Sally will complete can be represented by

x + 48, since she has already done 48 hours.

Use the greater than or equal to sign, and put 75 on the other side:

x + 48 [tex]\geq[/tex] 75

Next, solve the inequality:

x + 48 [tex]\geq[/tex] 75

x [tex]\geq[/tex] 27

So, Sally has to complete at least 27 more hours.