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2 years ago

7

write the quadratic equation whose roots are 5 and -4, and whose leading coefficient is 4 use the letter x to represent the vari

able

1 answer:

Harman [31]2 years ago

6 0

I don't know . I need help on the same ?

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A house painter charges $14 per hour for the first 45 hours he works, time and a half for the 10 hours after that, and double ti

Digiron [165]

Answer: $1,540

Step-by-step explanation:

Given the following amount charged by a worker :

First 45 hours = $14 per hour

time and half for the next 10 hours

Double time for all hours after that:

If he worked for 80 hours :

First 45 hours = (45 × $14) = $630

Next 10 hours:

Time and half for 10 hours is equivalent to (10 × 1.5) = 15 hours

(15 × $14) = $210

Double time for all subsequent hours :

80 - (45 + 10) = 80 - 55 = 25

Double time : (2 × 25) = 50 hours

(50 × 14) = $700

Hence, total amount earned :

($630 + $210 + $700)

= $1,540

4 0

2 years ago

Ramon wants to plant cucumbers and tomatoes in his garden. He has room for

yarga [219]

Answer:

Number of Cucumbers = 12

Number of Tomatoes = 4

Step-by-step explanation:

Let number of cucumber be c and number of tomatoes be t

Since he has room for 16 plants, we can write:

c + t = 16

He wants to plant 3 times as many cucumbers as tomatoes. We can write:

c = 3t

We can substitute this in 1st equation and solve for t:

c + t = 16

3t + t = 16

4t = 16

t = 16/4 = 4

And c = 3t

c = 3(4) = 12

Number of Cucumbers = 12

Number of Tomatoes = 4

6 0

2 years ago

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Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects

oee [108]

Answer:

(A) $56.5^\circ$

Step-by-step explanation:

From the diagram attached:

Angle 1 and Angle 6 are Co-Interior Angles.

The sum of co-interior angle is 180 degrees.

Therefore:

$m\angle 1+ m\angle 6=180^\circ\\\\m\angle 6=123.5^\circ,$ therefore:\\m\angle 1+ 123.5^\circ=180^\circ\\m\angle 1=180^\circ-123.5^\circ\\m\angle 1=56.5^\circ$

The measure of angle 1 is therefore 56.5 degrees.

The correct option is A.

9 0

2 years ago

Read 2 more answers

sveta [45]

Answer:

Hayden's hourly rate is $30

Extra hour rate is 1.5×30=$45

given that he earned $2175 by working 40 regular hours, the number of overtime hours he worked will be given as follows;

let the number of overtime be x

hence total amount earned will be:

(40×30)+(45×x)=2175

1200+45x=2175

45x=2175-1200

45x=975

solving for x we get

x=975/45

x=65/3=21 2/3 hours

Therefore the answer is c.562.50

Step-by-step explanation:

brainliest please

8 0

2 years ago

What is the binomial expansion of (x + 2)4? x4 + 4x3 + 6x2 + 4x + 1 8x3 + 24x2 + 32x x4 + 8x3 + 24x2 + 32x + 16 2x4 + 8x3 + 12x2

Margaret [11]

<u>Answer-</u>

$\boxed{\boxed{(x+2)^4=x^4+8x^3+24x^2+32x+16}}$

<u>Solution-</u>

Given expression is $(x+2)^4$

Applying Binomial Theorem

$\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i$

Here,

a = x, b = 2 and n = 4

So,

$\left(x+2\right)^4=\sum _{i=0}^4\binom{4}{i}x^{\left(4-i\right)}\cdot \:2^i$

Expanding the summation

$=\dfrac{4!}{0!\left(4-0\right)!}x^4\cdot \:2^0+\dfrac{4!}{1!\left(4-1\right)!}x^3\cdot \:2^1+\dfrac{4!}{2!\left(4-2\right)!}x^2\cdot \:2^2+\dfrac{4!}{3!\left(4-3\right)!}x^1\cdot \:2^3+\dfrac{4!}{4!\left(4-4\right)!}x^0\cdot \:2^4$

$=\dfrac{4!}{0!\left(4\right)!}x^4\cdot \:2^0+\dfrac{4!}{1!\left(3\right)!}x^3\cdot \:2^1+\dfrac{4!}{2!\left(2\right)!}x^2\cdot \:2^2+\dfrac{4!}{3!\left(1\right)!}x^1\cdot \:2^3+\dfrac{4!}{4!\left(0\right)!}x^0\cdot \:2^4$

$=1\cdot x^4\cdot \:1+4\cdot x^3\cdot \:2+6x^2\cdot \:4+4\cdot x\cdot \:8+1\cdot 1\cdot \:16$

$=x^4+8x^3+24x^2+32x+16$

4 0

2 years ago

Read 2 more answers