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Anastaziya [24]

2 years ago

7

Question 3 Solve for m. 4 over 3 m equals 4

1 answer:

Lorico [155]2 years ago

3 0

Answer:

$m = 3$

Step-by-step explanation:

$\frac{4}{3} m = 4 \\ divide \: both \: sides \: by \: \frac{4}{3} \\ \\ m = 3$

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Simplify V45 (square root 45) fully, giving your answer in the form aVb (square root)

inna [77]

Answer:

B

Step-by-step explanation:

7 0

2 years ago

Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.

melomori [17]

Answer:

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

<em>Find a quadratic polynomial with integer coefficients which has the following real zeros: </em> $x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}$ <em>. </em>

Let be $r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}$ and $r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}$ roots of the quadratic function. By Algebra we know that:

$y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}$ (1)

Then, the quadratic polynomial is:

$y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}$

$y = 81\cdot x^{2}-36\cdot x -19$

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

5 0

2 years ago

In 2018, the number of students at The Villages High School was 975 and is increasing at a rate of 2.5% per year. Write and use

avanturin [10]

Answer:

$A(t)=975(1.025)^t$

In 2025,the number of students at the villages high school=1159

Step-by-step explanation:

We are given that in 2018

Number of students at the villages high school=975

Increasing rate,r=2.5%=0.025

We have to write and use of exponential growth function to project the populating in 2025.

$A_0=975,t=0$

According to question

Number of students at the villages high School is given by

$A(t)=A_0(1+r)^t$

Substitute the values

$A(t)=975(1+0.025)^t=975(1.025)^t$

t=7

Substitute the value

Then, the number of students at the villages high school in 2025

$A(7)=975(1.025)^7=1158.96\approx 1159$

8 0

2 years ago

Read 2 more answers

A scale drawing of a car is presented in the following three scales. Order the scale drawings from smallest to largest. Explain

Elanso [62]

The order of the scale drawings from smallest to largest is

Smallest

1 in to 1 ft

Second smallest

1 in to 1 yd

Largest

1 in to 1 m

Given the following scales:

1 in to 1 ft

1 in to 1 m

1 in to 1 yd

We are to arrange the scales from smallest to largest.

Since 1 in is used as the base conversion for all the scales, we can convert the other scales to yards for consistency's sake.

Convert 1m to yards

1m = 1.1yards (From the question)

Convert 1ft to yards. According to conversion factor;

1 feet = 0.333333 yards

Ordering the scales from smallest to largest will give

0.33333yard (1 in to 1 ft), 1 yard (1 in to 1 yd), 1.1yards (1 in to 1 m)

Learn more here: brainly.com/question/14348682

5 0

2 years ago

The area of a 12-cm- wide rectangle is 180cm. what is its length?

Tcecarenko [31]

Answer:

multiply the legth times width

Step-by-step explanation:

7 0

2 years ago