Colin spends
3
4
of his wages on rent and
1
8
on food. If he makes £192 per week, how much money does he have left?

Answer:

Step-by-step explanation:

Given the function [tex]f(x)=-3x^2 +75[/tex]

The zeros of the function are the values of x for which f(x)=0.

[tex]f(x)=-3x^2 +75=0\\-3x^2 +75=0\\-3(x^2-25)=0\\$Divide both sides by -3\\x^2-25=0\\$Add 25 to both sides\\x^2-25+25=0+25\\x^2=25\\$Take the square root \\\sqrt{x^2}=\pm \sqrt{25}\\ x=\pm 5[/tex]

The zeros of f(x) are therefore 5 and -5.

Answer:

it should be 1.5 inches.....

Answer:

1/52

Step-by-step explanation:

There is only one 8 of diamonds in a deck of 52 cards.  The deck is properly shuffled, so every card has an equal probability of being selected.  So the probability is 1/52.

Answer:

5.16 mm; 10.31 mm

Step-by-step explanation:

Circumference: [tex]C = 2\pi r[/tex]

So all you do is:

[tex]32.4=2\pi r\\32.4/2\pi = r\\5.16 = r[/tex]

and then the radius is just half of the diameter so

[tex]5.16*2=10.31[/tex]

Answer:

1. Constant multiplicative.

2. 1.05.

Step-by-step explanation:

Their savings increase by 1.05x every year.

Answer:

x = 3

y = 8

Step-by-step explanation:

y = x + 5

y = 2x + 2

They both equal y, so:

x + 5 = 2x + 2

x + 3 = 2x

3 = x

Put the value of x into the equations:

y = 3 + 5 = 8

y = 2(3) + 2 = 8

x = 3

y = 8

Answer:

D

Step-by-step explanation:

parenthesis

exponents

multiply or divide from left to right

add or subtract from left to right

14 - 8 + 6 - 5

6 + 6 - 5

12 - 5

7

Answer:

D. 7

Step-by-step explanation:

PEMDAS

there arent parentheses, exponets or multiplication but the is division

so divide first

14-8+6-5

Next subtract

6+6-5

then subtract from left to right

12-5

7

Answer:

D y= ax^2 + bx+c = 0

Step-by-step explanation:

The standard form of a quadratic equation is

ax^2 + bx+c = 0

x = -b/2a is the equation for the line of symmetry

a quadratic is a parabola, but that is not the standard form

vertex is the minimum or maximum of the parabola

Answer:

Step-by-step explanation:

This graph is a circle. The general equation for a circle is x² + y² = r², where r is the radius. In this case, the radius is 3 because √9 = 3. Also, the center is (0,0) because the circle is not translated. Therefore, the graph is a circle with center (0,0) and radius 3. If you still need help, the y-intercepts are (0,±3) and the x-intercepts are (±3,0). Hope this makes sense!

Answer:

If both expressions have the same value after substituting and simplifying for x = 6 and x = 10, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 88. Now, substitute 10 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 120. Therefore, the expressions are equivalent.

Step-by-step explanation:

got it right!

The two expressions are equivalent.

Important information:

The values of both expression for [tex]x=6[/tex] are:

[tex]8(6)+40=48+40[/tex]

[tex]8(6)+40=88[/tex]

And

[tex]8(6+5)=8(11)[/tex]

[tex]8(6+5)=88[/tex]

The values of both expression for [tex]x=10[/tex] are:

[tex]8(10)+40=80+40[/tex]

[tex]8(10)+40=120[/tex]

And

[tex]8(10+5)=8(15)[/tex]

[tex]8(10+5)=120[/tex]

Since the values of both expressions are equal for each of the values [tex]x=6[/tex] and [tex]x=10[/tex]. Therefore, the two expressions are equivalent.

Find out more about 'Equivalent Expressions' here:

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Answer:

use PEMDAS

Step-by-step explanation:

start with doing what's in the parenthesis 3+2 = 5

7+4^3-3-5^2

then do ur exponents

7+64-3-25

then do you addition and subtraction left tto right

71-3-25

68-25

43

ur answer is 43

Answer:

52 miles

Step-by-step explanation:

A to B:

sqrt( (3 - (-2))^2 + (-11 - 1)^2 )

sqrt( (5)^2 + (-12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

B to C:

sqrt( (-2 - 3)^2 + (-23 - (-11))^2 )

sqrt( (-5)^2 + (-12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

C to D:

sqrt( (-7 - (-2))^2 + (-11 - (-23))^2 )

sqrt( (-5)^2 + (12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

D to A:

sqrt( (-2 - (-7))^2 + (1 - (-11))^2 )

sqrt( (5)^2 + (12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

Adding:

13 + 13 + 13 + 13

52

Answer:

Step-by-step explanation:

A

The factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).

To factor the quadratic expression x² - 5x + 4, we need to find two binomials that, when multiplied, will result in the given expression.

We can start by looking for two numbers whose product is 4 (the constant term) and whose sum is -5 (the coefficient of the x term).

The numbers that satisfy these conditions are -1 and -4, as (-1)(-4) = 4 and -1 + (-4) = -5.

Using these numbers, we can express the quadratic expression as:

x² - 5x + 4 = (x - 1)(x - 4)

Therefore, the factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).

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Answer:

The answer is [9, 5, -4, 12]

Step-by-step explanation:

1) distribute the 3 within all the numbers on the right side. 3*2, 3*0, 3*-1, 3*4.

2) your right side should now have the numbers, 6, 0, -3, 12.

3) now add the numbers on the left with the numbers on the right, each should correspond with their place within the box. 3+6, 5+0 -1+-3 0+12

Hope this helps :)

Answer:

3

Step-by-step explanation:

Answer:

66.04

Step-by-step explanation:

0.13 * 508 = 66.04

Answer:

Step-by-step explanation:

508/x=13/100

508*100=50800

50800/3=?

now do that and simplify

Answer:

(-4,7)

Explanation:

I graphed the two equations with a graphing tool.

The first equation forms a parabola.

The second equation is linear.

The graphed equations intercept at two points. Since the question asked for one, then one solution of the system is (-4,7).

Answer:

(- 4, 7 ) and (2, - 5 )

Step-by-step explanation:

Given the 2 equations

y = x² - 9 → (1)

y = - 2x - 1 → (2)

Substitute y = x² - 9 into (2)

x² - 9 = - 2x - 1 ( subtract - 2x - 1 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 → y = - 2(- 4) - 1 = 8 - 1 = 7 ⇒ (- 4, 7 )

x = 2 → y = - 2(2) - 1 = - 4 - 1 = - 5 ⇒ (2, - 5 )

Answer: 246 laptops.

Step-by-step explanation: if they each each take 20 for insurance and 385 then its 405 title. hen you take 100,000 and divide it by 405 getting 246.91358. but you cant buy .91358 of a computer so you round down.

Missing Part of the Question

Answer:

Step-by-step explanation:

Given

y = 3

Required

Which pair of expression are equal

To get the pair of expression that are equal; we simply substitute 3 for y in each of the expressions

3 (4 - y) -7 and 5 + 3y

Substitute 3 for y in 3 (4 - y) -7

This gives 3(4 - 3) -7

= 3(1) - 7

= 3 - 7

= -4

Then Substitute 3 for y in 5 + 3y

This gives  5 + 3(3)

= 5 + 9

= 14

-4 and 14 are not equal

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

9 + y + 4y - 2 - 3y; -2y + 7

Substitute 3 for y in 9 + y + 4y - 2 - 3y

This gives 9 + 3 + 4(3) - 2 - 3(3)

= 9 + 3 + 12 - 2 - 9

= 13

Then Substitute 3 for y in -2y + 7

This gives  -2(3) + 7

= -6 + 7

= 1

13 and 1 are not equal

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

5 + y - 2 - 6y + y; 8y + 3

Substitute 3 for y in 5 + y - 2 - 6y + y

This gives 5 + 3 - 2 - 6(3) + 3

= 5 + 3 - 2 - 18 + 3

= -9

Then Substitute 3 for y in 8y + 3

This gives  8(3) + 3

= 24 + 3

= 27

-9 and 27 are not equal

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

2y + 7 + y - 2 + y; 4y + 5

Substitute 3 for y in 2y + 7 + y - 2 + y

This gives 2(3) + 7 + 3 - 2 + 3

= 6 + 7 + 3 - 2 + 3

= 17

Then Substitute 3 for y in 4y + 5

This gives  4(3) + 5

= 12 + 5

= 17

17 and 17 are equal

Hence, Option D is correct

Answer: 2y + 7 + y - 2 + y; 4y + 5

Step-by-step explanation: just did it

Answer:

its 1/2

Step-by-step explanation:

people stop putting answer if your not sure you just want points

Answer:

563

Step-by-step explanation:

Answer:r=16 ft , d =32 ft (a)

Step-by-step explanation:

c=2 pi r

32pi= 2 x pi x r

r=32 pi/2pi

r= 16

diameter = radius x 2

d= 16 x 2

d = 32

Answer:

5 cubes

Step-by-step explanation:

15/3=5

Answer:

5

Step-by-step explanation:

5/3=15

Answer:

The answer is D 477 in.2

Step-by-step explanation:

The surface area of the composite figure is 333 sq. in.

The correct answer is an option (2) 333 in²

"It is a three-dimensional geometric shape with a polygon as its base and the lateral surfaces as triangles which meet at a common point."

"It is a three-dimensional geometric structure which has six faces that are rectangles."

"A figure that consists of two or more geometric shapes."

A = length × width

A = 1/2 × base × height

For given example,

A rectangular prism and a square pyramid were joined to form a composite figure.

The composite figure would have nine faces with four triangular faces and five rectangular faces.

Surface area of the composite figure would be the sum of surface area of  all nine faces.

The dimensions of the rectangular base the composite figure are length of 9 inches, width of 9 inches.

Using the formula for an area of the rectangle,

⇒ A1 = 9 × 9

⇒ A1 = 81 square inches

The surface area of the larger vertical rectangular faces is same.

So, A2 = 2 × (area of the larger vertical rectangular faces)

The dimensions of the larger vertical rectangular faces 9 inches × 5 inches.

⇒ A2 = 2 × (9 × 5)

⇒ A2 = 2 × 45

⇒ A2 = 90 square inches

Similarly, the surface area of the smaller vertical rectangular faces is same.

So, A3 = 2 × (area of the smaller vertical rectangular faces)

The dimensions of the smaller vertical rectangular faces 9 inches × 5 inches

⇒ A3 = 2 × (9 × 5)

⇒ A3 = 2 × 45

⇒ A3 = 90 square inches

The four triangular faces are identical.

Let A4 be the total surface area of four triangular faces.

⇒ A4 = 4 × (area of triangular face)

⇒ A4 = 4 × (1/2 × base × height)

⇒ A4 = 4 × (1/2 × 9 × 4)

⇒ A4 = 4 × 18

⇒ A4 = 72 square inches

So, the surface area of the composite figure is,

⇒ A = A1 + A2 + A3 + A4

⇒ A =  81 + 90 + 90 + 72

⇒ A = 333 sq. in.

Therefore, the surface area of the composite figure is 333 sq. in.

The correct answer is an option (2) 333 in²

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Answer:

A?

Step-by-step explanation:

Answer:

y > 0 best describes the range of the function f(x) = 2(3)x. A function whose value is a constant raised to the power of the argument, especially the function where the constant is e

Step-by-step explanation:

Using exponential function concepts, it is found that the range of the function after it has been reflected over the x-axis is given by:

all real numbers less than 0.

It is modeled by:

[tex]y = ab^x + c[/tex]

In which:

In this problem, a reflection over the x-axis means that it was multiplied by -1, hence the range will be (-infinity, 0), hence the correct option is;

all real numbers less than 0.

More can be learned about exponential function concepts at https://brainly.com/question/25537936

Answer:

b =-6

Step-by-step explanation:

[tex](y^{b})^4=\frac{1}{y^{24}} \\\\y^{4b}=y^{-24}\\4b = -24\\b=\frac{-24}{4}\\b =-6[/tex]

Answer:

B , -6

Step-by-step explanation: took the quiz

Answer:

He used the commutative property incorrectly.

Step-by-step explanation:

Answer:

a is correct

Step-by-step explanation:

Answer:

0.39

Step-by-step explanation:

1 tenth: 1/10 = 0.1

1 hundredth = 1/100 = 0.01

3(0.1) + 9(0.01)

0.3 + 0.09

0.39

yes its right

there no need to ask any way