Please help with this problem ​

Answer:

a. 2/3

b. [tex]\sqrt{2}[/tex]

c. 3

d. 5

e. 2

f. Undefined

Step-by-step explanation:

a. [tex]f(x)=\frac{|x-3|}{x+2}[/tex]

To find f(1), plug in 1 where every x is in the equation

[tex]f(1)=\frac{|1-3|}{1+2}=\frac{|-2|}{3}=\frac{2}{3}[/tex]

b. [tex]f(x) = \sqrt{x+1}[/tex]

[tex]f(1) = \sqrt{1+1}=\sqrt{2}[/tex]

c. [tex]f(x) = x^2+5x-3[/tex]

[tex]f(1) = (1)^2+5(1)-3=1+5-3=6-3=3[/tex]

d. [tex]f(x)=\frac{2x+3}{x}[/tex]

[tex]f(1)=\frac{2(1)+3}{1}=\frac{5}{1}=5[/tex]

e. [tex]f(x) = |2x-4|[/tex]

[tex]f(1) = |2(1)-4|=|2-4|=|-2|=2[/tex]

f. [tex]f(x)=\frac{7-2x}{x-1}[/tex]

[tex]f(1)=\frac{7-2(1)}{1-1}=\frac{5}{0}[/tex]

This equation is undefined when x=1 because 0 is the denominator of the fraction.

Answer:

8• (5+x) < 56

Step-by-step explanation:

Given :

⠀

To Find :

⠀

Solution :

We know that,

[tex]\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:[/tex]

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

⠀

Now, Substituting the given values in the formula :

[tex]\qquad \sf \: { \dashrightarrow x \times (x - 4) = 45 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} - 4x = 45 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} - 4x - 45 = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} - 9x+ 5 x - 45 = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow (x - 9) (x + 5) = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = 9, \: \: x = - 5}[/tex]

⠀

Since, The length can't be negative, so the length will be 9 which is positive.

⠀

[tex]\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:[/tex]

[tex]\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:[/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

The length is 9m and the width is 5m.

This is defined as is a quadrilateral with four right angles and the area is calculated as Length × width.

Let's assume length is x and width is (x-4).

We have x × (x-4) = 45m²

x² - 4x = 45

x² - 4x - 45 = 0

x² - 9x + 5x -45 = 0

x(x-9) +5 (x-9)

(x+5)(x-9) = 0

x = -5 or x = 9

x is therefore 9m and the width is (9-4) = 5m

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1620 = 2².3⁴.5

ok done. Thank to me :>

Answer:

Prime Factor of 1620 is...

[tex]\begin{gathered} \: \end{gathered}[/tex]

[tex]\sf2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5[/tex]

[tex]\begin{gathered} \: \end{gathered}[/tex]

Step-by-step explanation:

correct me if I'm wrong

#LetsStudy

[tex]\begin{gathered} \: \end{gathered}[/tex]

[tex]\tt{\large{\underline{ ANSWERED\: BY:}}}[/tex][tex]\tt\purple{⟶ MariaGabriellaSofia}[/tex]

Answer:

if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.

Step-by-step explanation:

Answer:

  upper left (see attached)

Step-by-step explanation:

If any input results in more than one output, the relation is not a function. The attachment shows a relation that is not a function.

Answer:

i believe the answer is 2.5

Step-by-step explanation:

The value of x in the given right cone is 10 units.

A cone is a geometrical shape in three dimension formed by a set of lines joined from a point to every points on the base surface which is a  circle.

The common point where the lines join is called apex.

The distance from apex to the circular base is called the height of the cone.

The radius of the circular base is also the radius of the cone.

Volume of a Cone is calculated as V = [tex]\frac{1}{3}[/tex] πr²h, where h is the height of the cone and r is the radius of the cone.

We have, Volume of the cone = 30π units³.

From the figure given, diameter of the circular base = 6 units

So, the radius of the cone = 6/2 = 3 units

We have to find the height of the cone.

Substituting these values in the equation for the volume,

30π = [tex]\frac{1}{3}[/tex] π × 3² × h

30 = = [tex]\frac{1}{3}[/tex] × 3² × h

30 = 3h

h = 10

Hence, the height of the cone with radius 3 units and volume 30π units is 10 units.

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ATQ

[tex]\\ \rm\hookrightarrow 2x+x=450[/tex]

[tex]\\ \rm\hookrightarrow 3x=450[/tex]

[tex]\\ \rm\hookrightarrow x=50[/tex]

Answer:

Yes, No, Yes, No.

Step-by-step explanation:

1/3 + 1/3 = 2/3

1/6 + 1/6 = 2/6, or 1/3, not 2/3.

2/3 + 6/9 = 4/3

2/5 + 2/3 = 16/15, not 14/15.

So let's set our mystery number to 10

We want to find the quotient of 10 and the sum of 3 and 2.

    quotient = [tex]\frac{10}{3+2} =\frac{10}{5} =2[/tex]

So the quotient, in this case, is 2.

Hope that helps!

Answer:

2

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

2x + 15 = 5x - 12 (since it is parallel)

15 + 12 = 5x - 2x

27 = 3x

x = 9

Answer:

All except the 3rd

Step-by-step explanation:

Answer:

All you need to do is subtract the coefficient.

Step-by-step explanation:

For example a minus b is c. So this is simply going to be c times d to the e you can do that if these two are the same.

Answer:

pre tests still count amdand matmattemattter

Step-by-step explanation:

Explanation:

There may be a more direct way to do this, but here's one way. We make no claim that the statements used here are on your menu of statements.

Statement . . . . Reason

2. ∆ADB, ∆ACB are isosceles . . . . definition of isosceles triangle

3. AD ≅ BD

and ∠CAE ≅ ∠CBE . . . . definition of isosceles triangle

4. ∠CAE = ∠CAD +∠DAE

and ∠CBE = ∠CBD +∠DBE . . . . angle addition postulate

5. ∠CAD +∠DAE ≅ ∠CBD +∠DBE . . . . substitution property of equality

6. ∠CAD +∠DAE ≅ ∠CBD +∠DAE . . . . substitution property of equality

7. ∠CAD ≅ ∠CBD . . . . subtraction property of equality

8. ∆CAD ≅ ∆CBD . . . . SAS congruence postulate

9. ∠ACD ≅ ∠BCD . . . . CPCTC

10. DC bisects ∠ACB . . . . definition of angle bisector

Answer:

1 line of symmetry so answer should be C

Answer:  Choice C

(3 x 8) x 6 = 3 x (8 x 6)

=================================================

Explanation:

The associative property in general is

(a x b) x c = a x (b x c)

where the x stands for the multiplication symbol.

The a,b,c is in the same order for both sides, but grouped in slightly different ways with the parenthesis.

Plug in a = 3, b = 8, c = 6 to arrive at (3 x 8) x 6 = 3 x (8 x 6)

Answer:

15%

Step-by-step explanation:

Total families:

[tex]45 + 38 + 27 + 10 = 120[/tex]

Difference between the families:

[tex]45 - 27 = 18[/tex]

Percentage calculation:

[tex]\% = \frac{18 \times 100}{120} = 15\%[/tex]

Answer:

for (a)

8m

(b)

1m

Step-by-step explanation:

(a) the area of a square =L*B

√64

=8m

(b)the perimeter of a square=4L

4*1=4m

(a) A square has an area of 64 m² . What is the length of each side .

As we know that area of square is equal to side² . So we have to equate the formula with given area . So :

Therefore , each side of square is of 8 m .

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

(b) A square has a perimeter of 4 cm . What is the length of each side .

As we know that perimeter of square 4 cm , therefore we have to equate it with perimeter formula and then solve . So :

Therefore , each side of square is of 1 cm .

Answer: 0.375

Step-by-step explanation: 3/4 times 1/2 equal to 0.375

Step-by-step explanation:

find the x-intercept, substitute in

0

for

y

and solve for

x

To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

−

1

53

,

0

)

y-intercept(s):

(

0

,

2

)

Answer:

  (a)  5 : 8 < 7 : 10

  (b) 9/6 = 36/24

Step-by-step explanation:

Perhaps simplest to explain is the use of a common denominator: 40.

  [tex]5 : 8 = (5\cdot5):(8\cdot5)=25:40\\\\7:10=(7\cdot4):(10\codt4)=28:40\\\\25:40 < 28:40\quad\leftrightarrow\quad\boxed{5:8 < 7:10}[/tex]

__

Other ways you can do this comparison are ...

  Multiply by 8·10 = 80, the product of the denominators:

     5·10 = 50 < 7·8 = 56

  Convert the fractions to decimal:

     5/8 = 0.625 < 7/10 = 0.700

__

Remove a factor of 4 from the second fraction:

  [tex]\dfrac{9}{6}\text{ and }\dfrac{36}{24}\quad\leftrightarrow\quad\boxed{\dfrac{9}{6}=\dfrac{9\cdot4}{6\cdot4}}[/tex]

The break even point is the point where the cost and the revenue are equal

The break even point is at x = 50

The functions are given as:

C(x) = 30x + 500 --- cost function

R(x) = 40x ---- revenue function

At the break even, we have:

R(x) = C(x)

So, the equation becomes

40x = 30x + 500

Subtract 30x from both sides

10x = 500

Divide both sides by 10

x = 50

Hence, the break even point is at x = 50

Read more about break even at:

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Answer:

69 degrees

Step-by-step explanation:

Angles in a circle add up to 360 degrees

360 - (44+90+157) = 69

Answer:

-1/3 + -25

Step-by-step explanation:

-1/3 - 2/5 = -11/15

-1/3 + -2/5 = -11/5

Because add the same, but the two negatives are even so you keep the negative.

Answer:

18%

Step-by-step explanation:

hope it helps in ur test

Answer:

I don't understand your question.

Step-by-step explanation:

Please make it clearer.

Answer:

3⁻ⁿ⁺²

Step-by-step explanation:

we need to make both bases the same

9 can be written as 3²

[tex] \frac{3 {}^{n} }{3 {}^{2(n - 1)} } [/tex]

multiply 2(n-1) = 2n - 2

[tex] \frac{3 {}^{n} }{3 {}^{2n - 2} } [/tex]

I'll rewrite as 3ⁿ ÷ 3²ⁿ⁻²

subtract the exponents when dividing numbers with the same base

n - (2n-2) or n - 1(2n-2) imagine the 1 is there

remember that the whole of (2n-2) is being multiplied by -1, so expanding

n - 2n + 2 = -n + 2

final answer: 3⁻ⁿ⁺²