The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which
inequality represents this situation?
O Y<X+28y
O Y<_X+28
O X+ y<28
O X+y<_28​

Answer:

a) 17, 29, 41, 53, 65....

b) 12n + 5

Answer: 50 pairs.

Step-by-step explanation:

For each pair of earrings, Joshua spends $0.29 + $0.11 in materials.

So he spends $0.40 for each pair of earrings.

If he has $20, we want to know how many times he can spend $0.40.

For this, we take the quotient:

$20/$0.40 = 50

This means that we can sperate $20 into 50 times $0.40.

So he can buy enough material to make 50 pairs of earrings.

Answer & Step-by-step explanation:

(5√2 - 4√3)(5√2 - 4√3)

We can rewrite this equation into a more simpler form.

(5√2 - 4√3)²

Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.

When you multiply a radical by itself, then the base number will be by itself as the product.

So......

(5)² = 25

(4)² = 16

(√2)² = 2

(√3)² = 3

So, now the equation looks like this..

(25 * 2) + (16 * 3)

Multiply the terms.

50 + 48

Add the numbers.

50 + 48 = 98

So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.

Answer:x=4 y =1

Step-by-step explanation:

your welcome

Answer:

x = 4, y = 1

Step-by-step explanation:

Substitute the y in the first equation for x-3

X + 2(x-3) = 6

3x -6 = 6

3x = 12

x = 4

Plugging 4 into the second equation

y = 4-3

y = 1

Answer:

d) [tex](\sqrt[8]{(10} )^{3 x}[/tex]

Step-by-step explanation:

Step(i):-

Given   [tex](\sqrt{10} )^{\frac{3 x}{4} }[/tex]

we will use formula

  [tex](a)^{m n} = (a^{m} )^{n}[/tex]

[tex](\sqrt{10} )^{\frac{3 x}{4} } =( (10)^{\frac{1}{2} } )^{\frac{3 x}{4} }[/tex]

              = [tex]( (10)^{\frac{1}{2} X\frac{3 x}{4} } )[/tex]

             = [tex]( (10)^{\frac{3 x}{8} } )[/tex]

            = [tex]((10)^{\frac{1}{8} } )^{3x}[/tex]

Step(ii):-

  we will  apply [tex](a)^{\frac{1}{n} } = \sqrt[n]{a}[/tex]

           = [tex](\sqrt[8]{(10} )^{3 x}[/tex]

Answer:

Range={ -5,-1,3,7). [ option C]

Please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment..

Answer:

Yes they are equal. Hkama d d jans ans

Answer:

y < -2

Step-by-step explanation:

2y < -4

Divide both sides by 2.

y < -2

Answer:

y <-2. :::::::::::::::::::::::

Step-by-step explanation:

2y< -4 ==> y<-2

Answer:

27/35 is the exact answer

7/10 is an estimate

Step-by-step explanation:

4/7+2/10

Simplify the fraction

4/7+1/5

The common denominator is 35

4/7*5/5 + 1/5 *7/7

20/35 + 7/35

27/35

To estimate

4/7 is close to 1/2  

2/10 is close is 1/5

1/2 + 1/5 =

5/10 + 2/10 = 7/10

Answer:

(8-5)/(7-2)= 3/5

Step-by-step explanation:

proper fraction

Answer:

The product x time y is zero (0)

Step-by-step explanation:

Notice that you are given a system of two equations with two unknowns, so, let's proceed to find the unknowns by the method of substitution (easiest since it is very simple to find "y" in terms of 'x" from the second equation).

Then we use that expression to substitute for "y" in the first equation and solve for x:

[tex]6x=42+y\\y=6x-42\\Then:\\2x-9y=14\\can\,\,be\,\,written\,\,as:\\2x-9(6x-42)=14\\2x-54x+372=14\\-52x=-364\\x=(-364)/(-52)\\x=7[/tex]

Now we use this result in the substitution equation to find the value of "y":

[tex]y=6x-42\\y=6\,(7)-42\\y=42-42\\y=0[/tex]

Then, the product x times y is:   7 times 0 = 0

The product renders zero (0)

___________________________

Hey!!

Solution

4a+6=12-2a

or,4a+2a=12-6

or,6a=6

or,a=6/6

a=1

The value of a is 1.

hope it helps...

Good luck on your assignment

_________________________

value of 6a = 6* 1 = 6

In a linear equation coefficients can be positive or negative values and in which the highest power of the variable is always 1 .

according to question the linear equation given is :

4a + 6 = 12 - 2a

find = 6a ?

4a + 6 = 12 - 2a

6a = 12 - 6

6a = 6

a = 1

since , substituting value of a

6a = 6* 1 = 6

learn more about linear equation :

https://brainly.com/question/11897796?referrer=searchResults

#SPJ2

Answer:

[tex]=-\left(3x-1\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]10x-3-3x^2\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(3x^2-10x+3\right)\\\mathrm{Factor}\:3x^2-10x+3:\quad \left(3x-1\right)\left(x-3\right)\\3x^2-10x+3\\\mathrm{Write\:in\:the\:standard\:form}\:ax^2+bx+c\\=3x^2-10x+3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(3x^2-x\right)+\left(-9x+3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}3x^2-x\mathrm{:\quad }x\left(3x-1\right)\\3x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=3xx-x[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x\\=x\left(3x-1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-9x+3\mathrm{:\quad }-3\left(3x-1\right)\\-9x+3\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\=-3\cdot \:3x+3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(3x-1\right)\\=x\left(3x-1\right)-3\left(3x-1\right)\\\mathrm{Factor\:out\:common\:term\:}3x-1\\=\left(3x-1\right)\left(x-3\right)\\=-\left(3x-1\right)\left(x-3\right)[/tex]

Answer:

(D) 3x−4

Step-by-step explanation:

Factor Theorem

Given a polynomial P(x) and a linear function x-a, If P(a)=0, then the linear function x-a is a factor of P(a).

In Option A:

[tex]L$inear Function =2x+3\\Set 2x+3=0$\\x=-\frac{3}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(-\frac{3}{2})=6(-\frac{3}{2})^4+(-\frac{3}{2})^3-45(-\frac{3}{2})^2+26(-\frac{3}{2})+24\\\\p(-\frac{3}{2})=-89.25[/tex]

In Option B

[tex]L$inear Function =3x-2\\Set 3x-2=0$\\x=\frac{2}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{2}{3})=6(\frac{2}{3})^4+(\frac{2}{3})^3-45(\frac{2}{3})^2+26(\frac{2}{3})+24\\\\p(\frac{2}{3})=22.8[/tex]

In Option C

[tex]L$inear Function =2x-1\\Set 2x-1=0$\\x=\frac{1}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{1}{2} )=6(\frac{1}{2} )^4+(\frac{1}{2} )^3-45(\frac{1}{2} )^2+26(\frac{1}{2} )+24\\\\p(\frac{1}{2} )=26.25[/tex]

In Option D

[tex]L$inear Function =3x-4\\Set 3x-4=0$\\x=\frac{4}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{4}{3} )=6(\frac{4}{3})^4+(\frac{4}{3} )^3-45(\frac{4}{3} )^2+26(\frac{4}{3})+24\\\\p(\frac{4}{3} )=0[/tex]

We can see that only Option D: 3x−4 gives a result of 0. Therefore, by the factor theorem, it is a factor of the polynomial.

Answer:

The answer is B

Step-by-step explanation:

Answer:

Section A

Volume of the cylindrical tool = 1413.72cm³

Section B

1) Curved Surface Area of the right circular cone = 251.33cm²

2) Volume of the right circular cone = 402.12cm³

Step-by-step explanation:

Section A

We are asked to find the volume of the cylindrical moulding tool.

Volume of a cylinder = πr²h

From the question, the cylindrical tool had a diameter of 10cm. This means the radius of the tool = Diameter ÷ 2 = 10cm ÷ 2 = 5cm

The height of the cylindrical tool = 18cm

Volume of the cylindrical tool = π × (5cm)² × 18cm

1413.7166941cm³

Approximately = 1413.72cm³

Section B

The height of a right circular cone is 6cm and its radius is 8cm.

1) Calculate its curved surface area.

The formula for the curved surface area of a right circular cone =

πrl

r = radius = 8cm

h = height = 6cm

l = √(r² +h²) = √(8² + 6²) = √100

l = 10cm

The curved surface area = πrl

= π × 8cm × 10cm

= 251.33cm²

2) Calculate the volume of the cone.

The formula for the volume of a cone=

1/3πr²h

radius (r) = 8cm

height (h) = 6cm

1/3πr²h

1/3 × π × 8² × 6

= 402.12cm³

Answer:

3/10 m^2

Step-by-step explanation:

To calculate area of a triangle we multiply height with base and then divide that by 2

2/5 × 3/2 ÷ 2 = 3/10

Answer:

35 and 21

Step-by-step explanation:

the sum of the two lengths of two sides must be greater than the length of the third side.

10+30=40

45 doesn't work: 40<45.

10+19=29

29<30

19 doesn't work

10+21=31

31>30

21 works

35+10=45

45>30

35 also works

Answer:

35 and 21, good luck!! sorry I'm late

Answer:

(1, 0)

Step-by-step explanation:

Please write this as y^2 = 4x; the " ^ " indicates exponentiation.

The appropriate equation for a horizontal parabola that opens to the right is

y^2 = 4px

Here, we are told that  y^2 = 4x; this tells us that 4p = 4, and so p = 1.  

Again, this parabola is a horizontal one and it opens to the right.  p = 1 is the distance of the focus from the vertex, and in this case p = 1.  Thus, the focus is at (1, 0) (situated on the x-axis).

Answer:

(1,0) 2022

Step-by-step explanation:

stop playing wit me

Answer:

a

Step-by-step explanation:

100n^2 = (10n^2)

-1 = -(1^2)

Answer:

So we can ignore the endings because they all have to same endings. We know that 10^2 = 100 We see only 2 answers that have that a and b. But we also need to get the n to the power. So we power each number in the parenthesis by 2. Only A lets you power both 10 and n at the same time.

A wheel is a circle.

Given diameter of wheel = 2.8 m

Then radius of the wheel = 2.8/2 = 1.4 m

Now we know that , circumference of circle =[tex]2\pi r[/tex]

Circumference of wheel = 2 × 22/7 × 1.4

Circumference of wheel = 8.8 m

From the above we can conclude that ;

1 revolution = 8.8 m

x revolution = 484 km = 484000 m

[tex]x = \frac{1}{8.8} \times 484000 \\ \\ x = 55000[/tex]

Answer:

21

Step-by-step explanation:

since we are looking for the value of x, we make it the subject of the formula(stand alone) and to do that + 13 would have to cross over the equality sign.when a positive number crosses over the equality sign it changes to a negative number .

Therefore,x +13=34

x=34 -13

x=21(d)

Answer:

Some examples of integers are -1, 0, and 1.

Answer:

Option (1).

Step-by-step explanation:

Given  functions are f(x) = [tex]\frac{1}{x}[/tex] and g(x) = x - 2

(fog)(x) = f[g(x)]

By substituting g(x) in place of x in the function f(x),

f[g(x)] = [tex]\frac{1}{(x-2)}[/tex]

Graph of the function f[g(x)] will have,

Vertical asymptotes : x = 2

Horizontal asymptotes : y = 0

And no oblique asymptotes.

Out of four options graph number (1) matches the given characteristics of the function.

Therefore, graph (1) will be the answer.

Answer:

6x+3

Step-by-step explanation:

8x+7-2x-4

Combine like terms

8x -2x   + 7-4

6x            +3

Answer:

2.7 x 10⁻³

6.1 x 10⁵

9.582 x 10⁶

Step-by-step explanation:

The first digits part should be more or equal 1 and less 10

Answer:

Step-by-step explanation:

B c and d

Answer:

Answer number one, x < 7/12

Answer:

A

Step-by-step explanation:

If you make he denominators equal to each other (in this case 12) the new fractions would be 3/12 and 10/12. Then you would subtract 3/12 from both sides making 7/12 on the right side. The inequality remains facing the same direction, making the answer A or x<7/12.

Answer:

-5/3

Step-by-step explanation:

Answer:

Left side simplifies to (-2/3)^1 and the right side simplifies to (-2/3)^(-n) which means 1 = -n so n = -1.

Answer:

Step-by-step explanation:

- 4x² + 10x

Answer:

[tex]\fbox{\begin{minipage}{11em}(f - g)(x) = -2x(2x - 5)\end{minipage}}[/tex]

Step-by-step explanation:

Given:

[tex]f(x) = -x^{2} + 6x - 1 \\ g(x) = 3x^{2} - 4x - 1\\[/tex]

Solve for:

[tex](f - g)(x)[/tex]

Solution:

Perform the subtraction:

[tex](f - g)(x) = (-x^{2} + 6x - 1) - (3x^{2} - 4x - 1)[/tex]

Eliminate the parenthesis (notice the change in sign of some components):

[tex](f - g)(x) = -x^{2} + 6x - 1 - 3x^{2} + 4x + 1[/tex]

Rearrange the expression:

[tex](f - g)(x) = (-x^{2} - 3x^{2}) + (6x + 4x) + (1 - 1)[/tex]

Simplify the expression:

[tex](f - g)(x) = -4x^{2} + 10x[/tex]

Perform the inverse of associative property:

[tex](f - g)(x) = -2x(2x - 5)[/tex]

Hope this helps!

:)