Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4

Answer:

STEM ___ LEAF

1 _______0_ 7 _ 9 _ 9

2_______0 _ 4 _ 4 _ 6

3_______0 _ 2 _ 5 _ 5

Step-by-step explanation:

Given the ordered version of the data:

10, 17, 19, 19, 20, 24, 24, 26, 30, 32, 35, 35

. The stem is the tens digit and leaf is the unit digit of each data.

STEM ___ LEAF

1 _______0_ 7 _ 9 _ 9

2_______0 _ 4 _ 4 _ 6

3_______0 _ 2 _ 5 _ 5

Since there isn't any option given, then the row could be any of row values above.

Answer:

Perpendicular bisector

Step-by-step explanation:

Given

The above statement

Required

What describes the given statement?

The term that describes the given statement is the perpendicular bisector.

This is so because:

- The perpendicular bisector passes through midpoints

- The point of intersection is at the [tex]90^o[/tex]

Answer:

4/9

Step-by-step explanation:

First of all we need to get rid of the -2 exponent and make it positive in order  to solve this equation.

Therefore to do this we just use the reciprocal of 3/2 which is 2/3

Now we have (2/3)^2

Since 2/3 is being squared we used the following equation below:

(2/3) * (2/3)

We multiply 2/3 by itself twice since 2 is the exponent.

Then we get:

2^2

-----

3^2

2 squared is 4 and 3 squared is 9.

Therefore the final answer is 4/9.

I hope this helps have a good rest of your day!

Answer:

4/9

Step-by-step explanation:

(3/2)^(-2)

(3/2)^2=(3/2)(3/2)=9/4

However, ^(-2) means 1/(9/4), which gives you 4/9.

Answer:

12.25 [tex]\leq[/tex] x < 12.35

Step-by-step explanation:

5 is the cut off when rounding.

If a number to the right is greater than or equal 5, you round up.

If it's less than 5, you drop the number.

So 12.25 would be rounded up to 12.3

12.34 would be rounded to 12.3

How do you get the 12.25?

Subtract .05 from 12.3

How do you get 12.35?

Add .05 to 12.3.

The number in the hundredths place needs to be less than 5 to round down. That's why you use less than symbol.

Answer:

El área es 2 veces el cuadrado del ancho del rectángulo.

Step-by-step explanation:

El área de un rectángulo viene dado por:

[tex] A = a*l [/tex]

En donde:

a: es el ancho

l: es el largo

Si el largo es el doble del ancho:

[tex] l = 2a [/tex]

Entonces el área es:

[tex] A = a*l = a*(2a) = 2a^{2} [/tex]

Por lo tanto, el área es 2 veces el cuadrado del ancho del rectángulo.

Espero que te sea de utilidad!  

Answer:

option 1

Step-by-step explanation:

I am not sure, what your are asking about.

in your text you define the length of DF (20), but the answer options (only 2 visible) also specify DF but differently.

so ... ?

when you said DF=20, did you actually mean DE ?

under that assumption

DE = 20 = Hypotenuse of the right-angled triangle (the opposite side of the 90 degree angle).

EF = 17

based on Pythagoras

c² = a² + b²

we have here now

20² = 17² + DF²

400 = 289 + DF²

DF² = 400 - 289 = 111

DF = sqrt(111)

Answer:

radius = 2

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 4 ← is in this form

with r² = 4 ⇒ r = [tex]\sqrt{4}[/tex] = 2

centre (0, 0 ) and radius = 2

Answer:

151200

Step-by-step explanation:

We can start by essentially taking off the E at the end, meaning that we want to find all the combinations of

EVANESCENC. We can do this because the combinations will have an E at the end by default.

To solve this, we have to figure out the amount of letters and the amount of each letter. There are 10 letters, with 3 E's, 2 C's, 2 N's, 1 S, 1 V, and 1 A. Using the formula [tex]\frac{n!}{n1!n2!...nk!}[/tex] , with n representing the amount of letters and each subset of n representing the amount of each letters, our answer is

[tex]\frac{10!}{3!2!2!1!1!1!} = \frac{10!}{3!2!2!} = 151200[/tex]

Answer:

(0,6) and (3,1)

Step-by-step explanation:

The equation is already in slope intercept form.

y = mx + b

Since the y-intercept is '6', the first point would be (0, 6).

-----------------------------------

We can move three units to the right and 5 units down to get our second point, (3,1).

Note that slope is rise over run.

(0 + 3, 6 - 5) - > (3, 1).

The points would be (0,6) and (3,1). After plotting, you would draw a continuous line through them.

Hope this helps.

Step-by-step explanation:

SI = PxTxR/100

SI= (13000)(6)(4.7)/100

SI = 366600/100

SI= 3666

Answer:

15.24m

Step-by-step explanation:

1-foot=0,304m then 50-foot=0,304*50=15,2 m

Answer:

i) 9xy

ii) 75

Step-by-step explanation:

i) add those factor

ii) get that factor

hope it helps

please mark as barinliest

Thankyou.. :)

Answer:

5. B

6. B

7. D

8. D

< means a filled in circle.

Hope this helps!

Answer:

10*30 = 300, 300 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The lines indicates that all side are 10 cm and the white shape is a rhombus

the biggest figure is a rectangle: its angles are 90 degrees

so the triangles have the angles : 90 30 60

so, we have that theeir side are

5 cm and 5√3 cm

perimeter = (10 + 5√3)* 2 + 10 = 20 + 10√3 + 10 = 30 + 10√3 = 10(3 + √3) cm

A = (10 + 5√3)* 5 = 50 + 25√3 = 25(2+√3) cm^2

Area of the two triangle = 5 * 5√3 = = 25√3 cm^2

if we want know the perimeter and the area of the white figure, we have

perimeter = 40 cm

area = 50 + 25√3 - 25√3 = 50 cm^2

Answer:

Step-by-step explanation:

Thinking of this in terms of words, we are looking to solve the equation:

"The price Andre paid for the car is 65% of the original $7200 price" which in algebra-speak is

p = .65(7200) where p is the price Andre paid (our unknown), the word "is" indicates an equals sign, .65 is 65% as a decimal, the word "of" indicates multiplication, and the original price is...well, the original price.

Solving for p:

p = $4680

Answer:

Time = (30 ÷ 5) seconds

Step-by-step explanation:

It is moving up at the rate of 5 ft/s.

This means;

Distance moved ÷ time taken = 5 ft/s

Thus, for a distance of 30 ft above street level, the time taken will be calculated from

30 ÷ time taken = 5

Time to reach the given distance = 30 ÷ 5

In division sentence, it is composed of division symbol and equal to sign.

[tex]\displaystyle\bf (3-5\sqrt{5} )-(5\sqrt{3} -3)=3+3-5\sqrt{5} -5\sqrt{3} =\boxed{6-5\sqrt{5} -5\sqrt{3} } \\\\\\\\\sqrt{5} (\sqrt{5} -2x)=\boxed{-2x\sqrt{5} +5}[/tex]

Answer:

475 students, 125 adults

Step-by-step explanation:

x + y= 600......equation 1

5x +9y= 3500.......equation 2

From equation 1

x +y = 600

x= 600-y

Substitute 600-y for x in equation 2

5(600-y) +9y= 3500

3000-5y+9y= 3500

3000+4y= 3500

4y= 3500-3000

4y= 500

y= 500/4

y= 125

Substitute 125 for y in equation 1

x + y= 600

x + 125= 600

x = 600-125

x= 475

Hence there are 475 students and 125 adults

Answer:

16 birds

8 mammals if you need to know.

Step-by-step explanation:

We can set this system of equations up by plugging the 2m from the second equation into where it says r in the first equation. The reason why we do this is because

The 2m is equal to r, so we can replace the r in the first equation with 2m, since they are equal.

Divide both

We can confirm this because

uh

(I like the enter key lol.)

It's the return key on some keyboards in other countries.

Oh yeah.

We can confirm the values.

If there are 16 birds, there is probably going to be a total of 32 legs.

With 8 mammals, it is something like 8 x 4, which is 32

32 + 32 = 64, which is the total.

Answer:

The three-person trip require more effort (row harder) than the two person-trip

Step-by-step explanation:

The number of persons in the boat determines the mass of the boat

The mass of the boat with three people in total is more than the mass of the boat with only two person's

Mass is a measure of inertia, which is the resistance of a body to accelerate, and therefore, to the application of a force

Therefore, on the three-person trip were three people are in the boat, the boat has more mass, and therefore more inertia and will require more effort (force) than on the two-person trip that has a lesser mass

Answer:

[tex]8)79 + .3y |1| 5131x - 2884 \frac{ {8 - { { - 44 - {516}^{ |?| } }^{?} }^{?} }^{2} }{?} 5 - {1 {y {1 {40091 - \times \frac{?}{?} }^{?} }^{2} }^{2} }^{2} 444 = .3 = 547 - 274[/tex]

Answer:

(2x^2 + x-3)/(4x^2-9)

Step-by-step explanation:

The denominator looks like an expression in which we have applied the difference of two squares to

In that case, we know that;

a^2-b^2 = (a-b)(a+ b)

That means we would be have 2x + 3 as the other denominator factor and the expression at the denominator would be;

(2x + 3)(2x-3) = 4x^2 - 9

Also, we would have to cancel out 2x + 3 from the numerator too, so as to be left with only the binomial

That means;

(2x+3)(x-1) = 2x^2-2x+ 3x - 3 = 2x^2+x -3

So we have the original expression as;

(2x^2 + x-3)/(4x^2-9)

Answer:

2.5x+50

Step-by-step explanation:

Answer this is an example 4 you

To do this problem, you need to change the way the fractions are displayed so that you can simplify them.

The first step is to change them to improper fractions: fractions like 4/3 that represent more than 100% (parts adding to more than one whole).

For example, to change the first fraction in this way, multiply the number in front (2) by the bottom number:

2 * 3 = 6

This means the 2 can also represent 6 / 3. Remember that 1 equals 3/3 so 2 equals 6/3. Now add this to the 1/3 you started with, and you end up with 7/3.

Do the same for the other fraction.

Now that you have both fractions written in this way, you can multiply each by the other's denominator to arrive at their LCD (least common denominator). It won't always be least, but you can always simplify further. In this case, the numbers are small enough that it likely won't matter.

You will end up with a fraction of halves: some number x, over 2, meaning x number of halves.

Your other fraction is 7/3. So the common denominator is the bottom numbers multiplied together: 2 * 3 = 6.

To change 7/3 to a fraction of sixths, you multiply the whole thing by two. This gets the bottom number to be six.

7 * 2 = 14

3 * 2 = 6

So this fraction can also be written as 14/6. Once again, do the same to the other fraction (but multiply by 3, to get the other fraction into sixths also, since it is currently halves).

Now you have two fractions that are both in parts of six. A ratio (x:y) is nothing more than a fraction itself. So if you had for example the ratio

2/5 : 10/5

This ratio could also be written as 1/5 : 5/5, or 1/5 to 1. Both numerators (the top number) are divisible by 2, so you can divide them both by 2 and end up with a simplified version of the same ratio.

Whatever ratio you end up with (14/6 : some other fraction), do the same thing to it. See if any of the numbers share a common factor, and simplify where possible. If it's not possible to simplify further, you're done.

Answer:

[tex]\{0, 1, 2, 3\}[/tex] is a partition of Z

Step-by-step explanation:

Given

[tex]$$A _ { 0 } = \{n \in \mathbf { Z } | n = 4 k$$,[/tex] for some integer k[tex]\}[/tex]

[tex]$$A _ { 1 } = \{ n \in \mathbf { Z } | n = 4 k + 1$$,[/tex] for some integer k},

[tex]$$A _ { 2 } = { n \in \mathbf { Z } | n = 4 k + 2$$,[/tex] for some integer k},

and

[tex]$$A _ { 3 } = { n \in \mathbf { Z } | n = 4 k + 3$$,[/tex]for some integer k}.

Required

Is [tex]\{0, 1, 2, 3\}[/tex] a partition of Z

Let

[tex]k = 0[/tex]

So:

[tex]$$A _ { 0 } = 4 k[/tex]

[tex]$$A _ { 0 } = 4 k \to $$A _ { 0 } = 4 * 0 = 0[/tex]

[tex]$$A _ { 1 } = 4 k + 1$$,[/tex]

[tex]A _ { 1 } = 4 *0 + 1$$ \to A_1 = 1[/tex]

[tex]A _ { 2 } = 4 k + 2[/tex]

[tex]A _ { 2} = 4 *0 + 2$$ \to A_2 = 2[/tex]

[tex]A _ { 3 } = 4 k + 3[/tex]

[tex]A _ { 3 } = 4 *0 + 3$$ \to A_3 = 3[/tex]

So, we have:

[tex]\{A_0,A_1,A_2,A_3\} = \{0,1,2,3\}[/tex]

Hence:

[tex]\{0, 1, 2, 3\}[/tex] is a partition of Z

Replace x with 18, solve the equation. If it equals -4 it’s a solution.

Y = -6(18) - -87

Y = -108 + 87

Y = -21

-21 does not equal -4 so (18,-4) is not a solution.