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3 years ago

Write the quadratic equation whose roots are -5 -4 and whose leading coefficient is 4

Mathematics

1 answer:

vfiekz [6]3 years ago

4 0

Answer:

y = 4x² + 36x + 80

Step-by-step explanation:

Since the roots are x = - 5 and x = - 4 then the factors are

(x + 5) and (x + 4)

The equation is the product of the factors

y = (x + 5)(x + 4) and with leading coefficient of 4 is

y = 4(x + 5)(x + 4) ← expand factors

= 4(x² + 9x + 20)

= 4x² + 36x + 80

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180 lb 12 oz - 79.3 kg = ___________ kg

Brrunno [24]

Answer:

$180lb\ 12 oz - 79.3kg = 2.8kg$

Step-by-step explanation:

Given

$180\ lb 12\ oz - 79.3kg$

Required

Solve

First, convert 180lb to kg

$1lb \to 0.454kg$

$180lb \to 180 *0.454kg$

$180lb \to 81.7kg$ -- to 1dp

Next, convert 12oz to kg

$1oz \to 0.03kg$

$12oz \to 12 * 0.03kg$

$12oz \to 0.4kg$ --- to 1 dp

So, the expression becomes:

$180\ lb 12\ oz - 79.3kg$

$81.7kg + 0.4kg - 79.3kg$

$= 2.8kg$

Hence:

$180lb\ 12 oz - 79.3kg = 2.8kg$

3 0

3 years ago

Express this in standard form 5.4×10^1

Naily [24]

Well it would just be 54 since you just need to move the decimal over by 1.

So 5.4x10= 54

7 0

3 years ago

Eddie drank 3/4

ch4aika [34]

Answer:

3/4 x 5 = 15/20

3/5 x 4 = 12/20

15/20 + 12/20 = 27/20

Hope this helps!

6 0

2 years ago

How many g of amino acids are in a 2,000mL total parenteral nutrition of 4.25% travesol (amino acids and 20%dextrose?

kirill115 [55]

Answer:

The mass of amino acid present is 85 g

Step-by-step explanation:

From the question we are told that

The volume of the total parenteral nutrition is $V = 2000 mL$

Generally the volume of the amino acid present is

$V_a = 0.0425 * 2000$

$V_a = 85 mL$

Generally

$mass \ \ \alpha \ \ volume$

So the mass of amino acid present is 85g

6 0

3 years ago

Math test pls help me

Natalija [7]

Answer:

D. $\frac{45}{x^{10}}$

Step-by-step explanation:

$(3 {x}^{ - 4} )^{2} (5 {x}^{ - 2} ) \\ \\ = (9 {x}^{ - 8} )(5 {x}^{ - 2} ) \\ \\ = 9 \times 5 \times {x}^{ - 8 - 2} \\ \\ = 45 {x}^{ - 10} \\ \\ = \frac{45}{ {x}^{10} }$

3 0

2 years ago