Evaluate the expression.

Answer:

m = 6

b = 13

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this equation, "m" represents the slope and "b" represents the y-intercept. To determine these variables, you need to rearrange/simplify the given equation.

10 + 4x + 3 + 2x = y                 <---- Original equation

10 + 3 + 4x + 2x = y                 <---- Rearrange

13 + 4x + 2x = y                       <---- Combine 10 and 3

13 + 6x = y                               <---- Combine 4x and 2x

y = 6x + 13                              <---- Rearrange

As you can now see, the number in the "m" position is (6) and the number in the "b" position is (13).

A function assigns the values. This function can be written using function notation as f(x).

A function assigns the value of each element of one set to the other specific element of another set.

Given the function represented by x as the independent variable. Therefore, this function can be written using function notation as f(x).

Hence, this function can be written using function notation as f(x).

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Answer: f(x)-3x+4

Step-by-step explanation:

trust me

The growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The normal yearly growth of a plant is 60 inches.

Let's suppose the growth of the plant last year was x

The normal growth was ten inches more than twice the amount of last year.

From the above statement:

10 + 2x = 60

2x = 50

x = 25 inches

Thus, the growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.

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Using the normal distribution, it is found that there is a 0.877 = 87.7% probability of a bulb lasting for at most 569 hours.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 540, \sigma = \sqrt{625} = 25[/tex]

The probability of a bulb lasting for at most 569 hours is the p-value of Z when X = 569, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{569 - 540}{25}[/tex]

Z = 1.16

Z = 1.16 has a p-value of 0.877.

0.877 = 87.7% probability of a bulb lasting for at most 569 hours.

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If two triangles are similar, then their side lengths are proportional.

RS / JK = RT / JL

5 / x = 4 / 7

4x = 35

x = 35/4 = 8.75

RT / JL = TS / LK

4 / 7 = 6 / (y + 2)

42 = 4(y + 2)

42 = 4y + 4

4y = 38

y = 38/4 = 9.5

LK = 9.5 + 2 = 11.5 cm

JK = x = 8.75

Hope this helps!

Multiply and express as a mixed fraction

6 × 2 1/9

Answer:

$20

Step-by-step explanation:

First we will change the ratio so that we are finding how much money Siti receives to the total amount of money.

[tex]4:3 \rightarrow 4:(3+4)=4:7[/tex]

Now we can solve for how much money Siti receives using a proportion.

[tex]\frac{4}{7} = \frac{\mbox{money Siti receives}}{35}[/tex]

We can see that the denominator increases 5 times, so the numerator must increase 5 times too. This means Siti receives $20.

To solve these types of problems:

 ⇒ just solve like a regular algebraic equation

     ⇒ with an inequality sign in the middle

Let's solve:

           [tex]-3p + 2 > 5\\-3p > 3[/tex]

                ⇒ must change the inequality sign to face the other direction

            [tex]-3p > 3\\p < -1[/tex]

Answer: p < -1

Hope that helps!

Answer:

p < -1

Step-by-step explanation:

-3p + 2 > 5

subtract 2 from both sides

-3p + 2 - 2 > 5 - 2

-3p > 3

divided both sides by -3 to get p alone

-3p / -3 > 3 / -3           reverse the inequality

p > -1

Answer:

IT IS 40

Step-by-step explanation:

oh my gosh I spent forever on this

ok so we want both equations answers to match since the angles are congruent

So I started at three and of course that was wrong

the way I got 40 was by increasing "x"

and then looking at the difference at both equations answers

for example 36

36x3= 108 -10 =98 and 36 x 2 = 72 +30= 102

so 102-98=4 so I knew I was getting close because we want the difference to be zero

so yeah I made my way up to forty and got it

hope that helps!

Answer:

6545

Step-by-step explanation:

i spent time on this. i had to type out everything. by. hand.

see calculator image for proof. enjoy.

Answer: 6,555 im good at trig and using the pythagorean therum

Step-by-step explanation: brainliest?

Answer:

=Line cd

=Point cd

=Segment cd

Answer:

the answer is [tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

to get the answer, just do [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

plug in the values

[tex]\frac{0-3}{5-1}=\frac{-3}{4} =-\frac{3}{4}[/tex]

That's how you get that.

Answer:

x = 1

Step-by-step explanation:

Radical expression:

Let's find the value of x.

Solved:

√(x+3)-1 = x

Transpose -1 to RHS:

Squaring both LHS and RHS,we have:

Subtracting x^2+2x+1 from both sides,we have:

Factoring LHS,we have:

Setting (-x+1) = 0 and (x+2) = 0 each time:

Now

There are two solutions– (1,-2)

Let's plug to the given equation to check.

√(x+3) -1 = x

Equation is true,when plugged to x = 1.

√(x+3) -1 = x

Equation is false,when plugged to x = -2.

Hence,the value of x is 1.

-Regards,Hannah

Volume is a three-dimensional scalar quantity. The amount of sculpting material needed is 8 ft³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Since the pyramid is stacked one over the other, the total height of the sculpture is the sum of the four pyramid heights, therefore, the height of each pyramid is 1.5 ft.

The volume of the complete sculpture = 4(Volume of a single pyramid)

                                                                 = 4[(1/3) × (2 ft)² × 1.5 ft]

                                                                 = 4(2 ft³)

                                                                 = 8 ft³

Hence, the amount of sculpting material needed is 8 ft³.

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Answer:

8ft.^3

Step-by-step explanation:

I just took the test on edge :)

The option not represented by one of the letters in PITI is (a) Title

The acronym is give as:

PITI

The meaning of the above acronym is:

From the list of given options, we can see that Title is not represented in the letters

Hence, the option not represented by one of the letters in PITI is (a) Title

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The option which is not represented by one of the letters in PITI is,

(a) Title

We have to given that,

The acronym is give as:

⇒ PITI

Since, We know that,

The full form of the above acronym PITI is:

P = Principal

I = Interest

T = Taxes

I = Insurance

Hence, From the list of given options, we can see that Title is not represented in the letters

Therefore, the option not represented by one of the letters in PITI is (a) Title

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Answer:

<

Step-by-step explanation:

negative + positive = positive - positive

positive - negative = positive + positive

a = positive b = negative

a+b < a-b

Answer:

<

a + b is smaller than a - b as b is in the realm of negative numbers.

Based on the distance formula, the distance between points (3, 7) and (x1, y) is: [tex]\sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex]. SO, it is TRUE.

The distance formula which can be applied to find the distance between two coordinate points is: [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex].

Given the points:

(x1, y1)

(3, 7) = (x2, y2)

Substitute

[tex]d = \sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex]

Therefore, the statement that says the distance between points (3, 7) and (x1, y) = [tex]\sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex], is TRUE.

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Answer:

52.56 square inches.

Answer:

$596

Step-by-step explanation:

So, firstly, let's take all the essential info and put it in bullet points:

Next, what do we know about what's happened to the pots?

Now, we know that there is a moving fee that we will definitely have to pay, no matter what. Let's add that to the side-

200

Now we need to cover broken/lost pots. We can add up 6+12, because it is the exact cost for lost and broken pots. 6+12=18, and now we have to multiply that by 5. 18*5=90.

So, we can subtract that from the total payment.

200-18=182

Lastly, we need to add the total price for all the adequately delivered pots that arrived safely. There are 578 pots, and because 18 were damaged, we need to add that to 578:

578+18=596

So, the total amount you would be paying is $596.

Answer:

1/6

Step-by-step explanation:

the answer is 1/6th use subtraction

Answer:

2.

[tex]x = \frac{11}{4} = 2 \frac{3}{4} = 2.75[/tex]

3.

[tex]x = \frac{5}{2} = 2 \frac{1}{2} = 2.5[/tex]

4.

[tex]x = \frac{3}{7} ≈0.428571429[/tex]

The expression of the inequality word problems for each question is; As expressed below

A) x is negative. This can be expressed as;

x < 0

B) y is non-negative. This can be expressed as;

y > 0

C) q is less than or equal to is expressed as; q ≤

D) d is between 2 and 1 is expressed as 1 < d < 2

E) t is not less than 5 is t ≥ 5

F) The negative of z is not greater than 3 is expressed as;

−z ≤ 3

G) The quotient of p and q is at most 6 is expressed as; p/q ≤ 6

H) The reciprocal of w is at least 9 is 1/w ≥ 9.

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Answer:

the carpenter lost 500

Step-by-step explanation:

if he bought the table for 3500 and spent an additional 500 on repairs but only sold it for 3500 he didn't make a profit and lost 500

Answer:

Circumference ≈ 56.55

Step-by-step explanation:

Given:

To Find:

Solution:

Here we'll use the formula of finding the circumference,i.e :

[tex] \boxed{\rm \: C = πd}[/tex]

Substitute them onto the formula:

[tex]\rm C = \pi(18) \: cm[/tex]

[tex]\rm C = 3.14 \times 18 \: cm[/tex]

[tex] \boxed{\rm C \approx \: 56.55}[/tex]

Hence, the circumference of the circle is 56.55(approx).

Answer:

50 square meters

Step-by-step explanation:

Answer:1 1/8

Step-by-step explanation:

1 3/4 = 1 6/8

1 6/8 = 14/8

14/8-5/8=9/8

9/8=1 1/8

hope this helped!