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3 years ago

PLS HELP - What is the product?

Mathematics

1 answer:

Lunna [17]3 years ago

4 0

Answer:

C. 2x² + 7x - 4

Step-by-step explanation:

Given:

(2x-1)(x+4)

= 2x * (x+4) + (-1) * (x+4) ⇒ Distributive property.

= 2x² + 8x - x - 4 ⇒ Combine like terms.

= 2x² + 7x - 4

The answer is option C. 2x² + 7x - 4

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Solve for the equation for x. 3(10 – 4x) + 6 = 12

AVprozaik [17]

Answer:

Step-by-step explanation:

3(10 – 4x) + 6 = 12

first you need to use the distributive property

30 – 12x + 6 = 12

then subtract 6 from each side

30 – 12x = 6

then subtract 30 from each side

– 12x = -24

divide both sides by negative 12

x = 2

3 0

3 years ago

The tax rate is 7.5% what is the tax on $110 round to the nearest hundredth or tenth

Sladkaya [172]

$100 x 0.075 = $8.25

answer:

$ 8.25 is the tax on $110 round to the nearest hundredth

$ 8.3 is the tax on $110 round to the nearest tenth

3 0

3 years ago

the product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can

alexandr1967 [171]

Required equation to determine two consecutive even number is $x^{2}-16=0$ and required numbers are 4 and 6.

Solution:

Given that product of two consecutive positive integer is 14 more that their sum. Need to create the equation and solve it to get two numbers.

Let’s assume first even number be represented by x.

So second consecutive even number will be $x + 2$

Sum of two consecutive number = $(x) + (x + 2)$

$\Rightarrow$ Sum of two consecutive number = $2x + 2$

Product of two consecutive number = $(x) \times(x+2)=x^{2}+2 x$

Product of two consecutive number is 14 more that sum of two consecutive numbers, so if we subtract 14 from product, we will get sum.

$\begin{array}{l}{\Rightarrow\left(x^{2}+2 x\right)-14=2 x+2} \\\\ {=>x^{2}+2 x-2 x-14-2=0} \\\\ {\Rightarrow x^{2}-16=0} \\\\ {\Rightarrow x^{2}-4^{2}=0} \\\\ {\Rightarrow x^{2}=4^{2}} \\\\ {\Rightarrow x=4}\end{array}$

One even number = $x=4$

Other even number = $x + 2 = 4 + 2 = 6$

Hence required equation to determine two consecutive even number is $x^2 -16 = 0$ and required numbers are 4 and 6.

8 0

4 years ago

A cyclist rides in a circle with speed 5 m/s. What is his centripetal

Anna71 [15]

Option A

The centripetal acceleration is 1.32 $ms^{-2}$

Solution:

From given question,

A cyclist rides in a circle with speed 5 m/s

The circle has a radius of 19 m

To find: Centripetal acceleration

The formula for Centripetal acceleration is given as:

$a_c = \frac{v^2}{r}$

Where,

$a_c$ = centripetal acceleration

r is the radius and v is the velocity

From given statement,

radius = r = 19 m

velocity = v = 5 m/s

Substituting the values in above formula, we get

$a_c = \frac{5^2}{19}\\\\a_c = \frac{25}{19}\\\\a_c = 1.315 \approx 1.32$

Thus centripetal acceleration is 1.32 $ms^{-2}$

6 0

3 years ago

Convert 0.83 into a fraction.

Anastasy [175]

0.83 * 100 = 83, so 0.83 = 83/100.

But in case you meant the slightly more interesting repeating decimal, 0.8333...:

Let x denote this number. Then

10x = 8.333...

100x = 83.333...

==> 100x - 10x = 83.333... - 8.333...

==> 90x = 83 - 8 = 75

==> x = 75/90 = 5/6

4 0

4 years ago