Use the graph of f(x) to describe the limits of the function. Limit of f (x) as x approaches 3 minus= and Limit of f (x) as x approaches 3 plus= Limit of f (x) as x approaches negative 3 minus= and Limit of f (x) as x approaches negative 3 plus=

Answer:

C)  $84

Step-by-step explanation:

40 x 14 = 560

she made $560 prior to raise

14 x 1.15 = 16.10

her new hourly rate is $16.10

40 x 16.1 = 644

she now earns $644 per week

644 - 560 = 84

Answer:

around 5,-5

Step-by-step explanation:

since its gona move 3 units up and 3 units left

Answer:

Step-by-step explanation:

'Area of a square' formula is A = s^2, where s in the length of one side.

Here, with s = 4 cm, A = 16 cm^2

Answer:

5.49 inches

Step-by-step explanation:

Given data

Circumference= 34.48inches

The expression for the circumference of a circle is

C= 2πr

Make r the subject of formula

r= C/2π

r= 34.48/2*3.14

r= 34.48/6.28

r= 5.49 inches

Hence the radius is  5.49 inches

Answer:

(a) The population in 2000 is 450

(b) 15% decreases each year

Step-by-step explanation:

Given

[tex]P = 450(0.85)^t[/tex] --- since 2000

[tex]P \to Population[/tex]

[tex]t \to years[/tex]

Solving (a): The population in 2000

First calculate t

[tex]t = 2000 - 2000[/tex] --- years since 200

[tex]t = 0[/tex]

So, we have:

[tex]P = 450(0.85)^t[/tex]

[tex]P = 450 * 0.85^0[/tex]

[tex]P = 450 * 1[/tex]

[tex]P = 450[/tex]

Solving (b): Rate of population decrease

A function that decreases is represented as:

[tex]P(t) = a(1 - r)^t[/tex]

Where

[tex]r \to[/tex] rate of decrement

Compare [tex]P(t) = a(1 - r)^t[/tex] and [tex]P = 450(0.85)^t[/tex]

[tex]1- r = 0.85[/tex]

Collect like terms

[tex]r = 1 - 0.85[/tex]

[tex]r = 0.15[/tex]

Express as percentage

[tex]r = 15\%[/tex]

Answer: 118

Step-by-step explanation:

Answer:

B. 2

Step-by-step explanation:

(4, 3) (7, 9)     M = Slope

M = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]      Slope formula

[tex]M=\frac{9-3}{7-4}[/tex]       Using the slope formula, plot both x and y intercepts

[tex]M=\frac{6}{3}[/tex]           Slope needs to be simplified into a whole number

[tex]M=2[/tex]          

Answer:

Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

Step-by-step explanation:

Answer:

4 %

Step-by-step explanation:

1 year interest =2160÷9

= £240

Interest rate=240/6000 ×100

=4%

Answer:

Step-by-step explanation:

-3,5 to find it first go over then go up and you have your answer

Answer:

The answer is (5, -3)

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

2000 feet

Step-by-step explanation:

200*2=400

800*2=1600

400+1600=2000

Answer:

B) 81.96°

Step-by-step explanation:

40.67 - (-41.29)

40.67 + 41.29 = 81.96

Answer:

[tex]B=48.7\\[/tex]

[tex]c=61.3[/tex]

[tex]b=12[/tex]

Step-by-step explanation:

Using sines law for triangles,

[tex]\frac{15}{sinA} =\frac{14}{sinc} =\frac{b}{sinB} \\\\A= 70[/tex]

⇒ [tex]\frac{15}{sin70} =\frac{14}{sinC} =\frac{b}{sinB}[/tex]

⇒ [tex]\frac{15}{0.9397} =\frac{14}{sinC}=\frac{b}{sinB}[/tex]

⇒ [tex]15.9625=\frac{14}{sinC}[/tex]

⇒ [tex]SinC=\frac{14}{15.9625}=0.8771[/tex]

⇒ [tex]C=Sin^{-1}(0.8771)=61.29[/tex]

⇒ [tex]C=61 ~ or ~ 61.30[/tex]

[tex]\frac{b}{Sin B}=15.9625[/tex]

Now sum of angles a Δ is 180°

A+B+C=180°

[tex]70+B+61=180[/tex]

[tex]B=180-131=49~ or ~ 48.7[/tex]

[tex]b=sin(48.70)(15.9625)=(0.7547)*(15.9625)= 12.0[/tex]

╔════ ∘◦ ☆ ◦∘ ══════╗

       hope it helps..

      have a great day!!

╚═════ ∘◦ ❉ ◦∘ ═════╝

Answer:

y=6x-14

Step-by-step explanation:

m=-8-(-2)/1-2

m=-8+2/1-2

m=-6/-1

m=6

y-y1=m(x-x1)

y-(-2)=6(x-2)

y+2=6x-12

y=6x-2-12

y=6x-14

aaa THIS IS HELPPING JE A LOT TYYaaaaaAnswer:

Step-by-step explanation:

Answer:

yooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

Answer:

3/4 of a pizza leftover.

Step-by-step explanation:

2 7/12 + 2/3 = 3 1/4

4 -  3 1/4 = 3/4

so 3/4 of 1 pizza is left.

Answer:

2x + 9 = 21

Step-by-step explanation:

Looking at option C;

2x + 9 = 21

Step 1: Subtract 9 from both sides

2x+9 - 9 = 21 - 9

2x = 12

Step 2: divide both sides by 2

2x/2 = 12/2

x = 6

Hence the expression which is a two-step equation is 2x + 9 = 21 since we arrived at the solution in two steps

Answer:

x=6

15x - 24 = 1/3x + 4 + 10x

=

45x - 72 = x + 12 + 30x

=

45x - 72 = 31x + 12

=

45x - 31x = 12 + 72

=

14x = 84

=

x = 6

Answer:

Measure of arc SR = 62°

Step-by-step explanation:

By using the property,

"Measure of an arc of the circle is double of the measure of the angle subtended by the arch."

m∠SUR = [tex]\frac{1}{2}m(\text{arc SR})[/tex]

m(arc SR) = 2m∠SUR

                 = 2(31°)

                 = 62°

Answer:

H

Step-by-step explanation:

you can see that it's increasing by 50 for each line

4*50=200

Answer:

hey there buddy

Step-by-step explanation:

Answer:

1/6

Hope that this helps!

Answer:

36 Cubic Units

Step-by-step explanation:

Volume of a cube: Length x Width x Height

4 x 3 x 3 = 36

Answer:

See attachment for drawing

Step-by-step explanation:

Given

See attachment for sketch of plan

Required

Draw a scaled plan

From the question, the garden has the following dimensions.

5.5m, 5.5m, 4m and 2.5m

Using a scale of 1m : 50 cm units, the above measurements will be represented as:

[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]

[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]

From the question, we understand that there will be 50cm space between the greenhouse and the edge.

On the scale drawing, this will be represented as:

[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]

From the question, the green house has the following dimensions.

2m, 2.5m

On the scale drawing, this will be represented as:

[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]

See attachment 2 for scale drawing

Answer:

yes

Step-by-step explanation:

$60×25%=$15...so the coupon she have worth $15 but she also have $50

so she has an overall of $65 she can use

but she must pay sales tax:$60×6,75%=$4.05

so then the overall money that she must pay for the printer is $60+$4.05=$64.05

so then the difference of her money and the price of the printer is:

$65-$64.05=$0.95

$0.95 is left over

Answer:

G. Angle NKL is congruent to angle ZWX is the answer

Step-by-step explanation:

Hope it helps you:)