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3 years ago

Solve using the Zero Product Property. What is one solution for x? (x – 5) (x + 1) =0

Mathematics

1 answer:

andriy [413]3 years ago

4 0

The answer would be 2.) 5

(5-5) = 0 (5+1) = 6

0x6= 0

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Aicel,Bessy,Cynthia went to the farm to pick guavas. They picked 120 guavas in all. Aicel picked twice as many as Bessy did and

LenaWriter [7]

Answer:

Cynthia = 12 guavas

Bessy = 36 guavas

Aicel = 72 guavas

Step-by-step explanation:

Total guavas = 120

Let

Cynthia = x

Bessy = 3x

Aicel = 2(3x)

= 6x

x + 3x + 6x = 120

10x = 120

x = 120/10

x = 12

Cynthia = x

= 12 guavas

Bessy = 3x

= 3(12)

= 36 guavas

Aicel = 6x

= 6 × 12

= 72 guavas

Total = 74 + 36 + 12

= 120 guavas

7 0

3 years ago

A new school has x day students and y boarding students.

guapka [62]

Given:

The fees for a day student are $600 a term.

The fees for a boarding student are $1200 a term.

The school needs at least $720000 a term.

To show:

That the given information can be written as $x + 2y\geq 1200$ .

Solution:

Let x be the number of day students and y be the number of boarding students.

The fees for a day student are $\$600$ a term.

So, the fees for $x$ day students are $\$600x$ a term.

The fees for a boarding student are $\$1200$ a term.

The fees for $y$ boarding student are $\$1200y$ a term.

Total fees for $x$ day students and $y$ boarding student is:

$\text{Total fees}=600x+1200y$

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.

$600x+1200y\geq 720000$

$600(x+2y)\geq 720000$

Divide both sides by 600.

$\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}$

$x+2y\geq 1200$

Hence proved.

3 0

3 years ago

Hi . I'm kinda stuck on this question . <br>Help please. <br>Workings please

Gre4nikov [31]

Answer:

$\large \boxed{\text{Q31, D. 6.00 F; 32. C. N21.75; Q33. A. 168.00 F}}$

Step-by-step explanation:

Your graph is hard to read, so I re-drew it as best I could.

You must first develop an equation relating francs and naira.

The line goes through the origin, so the general equation is

y = kx

One of the points is (40,240).

$\begin{array}{rcl}F & = &k \times N\\240 & = &k \times 40\\k & = & \dfrac{240}{40}\\\\k&=&\textbf{6 F/N}\\\end{array}\\\text{The equation is $\large \boxed{\mathtbf{F = 6 N}}$}$

Q 31.

$\begin{array}{rcl}F & = &6N\\& = & 6 \times 1.00\\& = & \mathbf{6.00}\end{array}\\\text{The equivalent value of N1.00 is $\large \boxed{\textbf{6.00 F}}$}$

Q 32.

$\begin{array}{rcl}F & = &6N\\130.5& = & 6 N\\N&=& \dfrac{130.5}{6}\\\\& = & \mathbf{21.75}\\\end{array}\\\text{The equivalent value of 130.5 F is $\large \boxed{\textbf{N21.75}}$}$

Q 33.

$\begin{array}{rcl}F & = &6N\\& = & 6 \times 28.00\\& = & \mathbf{168.00}\end{array}\\\text{An amount of N28.00 is $\large \boxed{\textbf{168.00 F}}$}$

6 0

3 years ago

What property would you use first to solve 1/2x-6=10

NISA [10]

I don't know what you mean by property. Do you mean like, commutative, distributive, etc?

but, if this is what you mean:

to solve this:

The operation here is subtraction. Do the inverse. So, add 6 to both sides of the equation

10 + 6 = 16

1/2x - 6 + 6 = 1/2x. (the 6 cancels out)

1/2x = 16

Now, I'm going to assume 1/2 is supposed to be a fraction (not division). So, 1/2 is right next to x which represents multiplication, so do the opposite which is division.

16 divided by 1/2 = 32

1/2x divided by 1/2 = x

x = 32.

6 0

3 years ago

jasmine wants to bulid a 2 5Jasmine wants to build a 2 and 5/6 meter long Garden Path paved with square stones that measure 1/4

Afina-wow [57]

Answer:

Step-by-step explanation:

5 0

3 years ago