Answer:
m= 4/5
Step-by-step explanation:
The equation of the line is in slope-intercept form.
y=mx+b
where m is the slope and b is the y-intercept.
Basically, the number that is being multiplied by x is the slope, and the number added or subtracted from that is the y-intercept.
We are given the equation:
y= 4/5x -3
4/5 is the coefficient of x. 3 is being subtracted from 4/5x.
Therefore, the slope of the line is 4/5 and the y-intercept is -3.
The question asks us to find the slope of the line, so the answer is 4/5.
The slope of the line represented by the equation y = 4x/5 - 3 is 4/5.
Given that an equation y = 4x/5 - 3 we need to find the slope of the equation.
In the slope-intercept form of a linear equation (y = mx + b), "m" represents the slope of the line.
The slope determines how steep or shallow the line is. It also tells us the rate at which the line is rising or falling as we move along the x-axis.
In the given equation, the coefficient of "x" is 4/5. This is the slope of the line.
To understand this better, compare the equation with the slope-intercept form: y = mx + b.
In the given equation, m (the slope) is 4/5. It means that for every 1 unit increase in the x-coordinate, the y-coordinate increases by 4/5 (or decreases by 4/5 if the slope were negative).
So, the line rises (or falls) at a rate of 4/5 for every unit increase along the x-axis.
In this case, since the slope is positive, the line will rise as we move from left to right on the coordinate plane.
Graphically, the line with a slope of 4/5 would look like a rising line, making an angle with the positive x-axis, and moving upwards from left to right.
So, the slope of the line represented by the equation y = (4/5)x - 3 is 4/5.
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Write a proportion to solve this problem When planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 use their function room the guests they planned on inviting . They have since changed their plans and expect to invite 107 guests. How much should they plan to pay for the function room ?
Answer:
or word problems 16-21: 1) Declare a variable 2) Write an equation 3) Solve. ... planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting.
Step-by-step explanation:
ter 1: Interval Notation and Set Notation > Section Exercises 1.1 > Exercise 37
You are marking a rectangular paintball zone that must be 34 meters wide and have a perimeter of at least 140 meters but not more than 260 meters Find the interval for
the length 2 of the rectangular paintball zone. Write your answer in interval notation,
The interval for z is
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Width(w) of rectangular paintball must be = 34 meters
Perimeter of atleast 140m but not more than 260 meters
Perimeter of a rectangle (p) : 2 (l + w)
P = 140
Then ;
140 = 2(l + 34)
140 = 2l + 68
140 - 68 = 2l
72 = 2l
l = 72/ 2 = 36 meters
P = 260
260 = 2(l + 34)
260 = 2l + 68
260 - 68 = 2l
192 = 2l
l = 192/ 2 = 96 meters
Hence the length must be between 36 meters and 96 meters
The interval z, for the length :
36 ≤ z ≤ 96
Choose the algebraic expression that represents the area of a triangle that has a base 8 inches less than 2 times wider than the hight.?
A. (1/2)(2b+8)(b)
B. (1/2)(2h-8)(h)
C. (1/2)(2h)(h-8)
I’m not sure if it’s either B or C
Answer:
B. (1/2)(2h-8)(h)
Step-by-step explanation:
Area of a triangle = 1/2 × base × height
Let
Height = h
Base = 8 inches less than 2 times wider than the hight
= 2h-8
Substituting the values of base and height into the formula
We have,
Area of a triangle = 1/2 × base × height
= 1/2 × (2h-8) × h
= (1/2)(2h-8)(h)
The correct answer is option
B. (1/2)(2h-8)(h)
I also need help with 1,000,000 in exponential form , 10x10 , and 10,000 x10 please
Answer:
1,000,000= 10^6
10 times 10 is 100 (10^2)
10,000 times 10 is 100,000 (10^5)
(06.06 MC) The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
Step 1: 8 + 12x
Step 2: 4(2) + 4x(2)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x
In which step did the student first make an error and what is the correct step?
Step 2; 4(2) + 4x(2)
Step 2; 4(2) + 4(3x)
Step 3; 4 + (4 + 8x)
Step 3; 4 + (4 ⋅ 8x)
Step- by- step explanation
Answer:
step 2
Step-by-step explanation:
theres a one in front of the () meaning it should have look like this
4+4x+2
Answer:The correct option is 2.Step-by-step explanation:It is given that the area of a rectangle is 8+12x and width of the rectangle is 4.We need to find the dimensions of the rectangle.Area of a rectangle isIt means the factors of expression of area represent the dimensions.The correct steps are shown below:Step 1: 8 + 12xStep 2: 4(2) + 4(3x)Step 3: 4(2 + 3x) Step 4: Dimensions of the rectangle are 4 and 2 + 3x.Student made an error in step 2 and the correct step is 4(2) + 4(3x). Therefore the correct option is 2.
What are the maximum and minimum values for the measurement 15 cm?
Answer: (14.5cm, 15.4cm)
Step-by-step explanation:
We have a measure of 15cm.
This may be a rounded up or rounded down number.
Now, when we want to round at a given digit, we need to see to the previous digit.
If the previous digit is larger than 5, then we round up.
If the previous digit is 5 or smaller, then we round down.
Then, the largest number such that we rounded down to 15cm, is:
15.4cm
The smallest number such that we rounded up to 15cm is:
14.5cm
Then the range of possible values is:
what is the approximate side length of a square game board with and area of 188 in. squared.
Answer:
Side length of a square game board is
11.916
inches.
Explanation:
If the area is
142
∈
2
, as area is square of side length of a square,
Side length is
√
142
=
11.916
inches.
Step-by-step explanation:
Answer:
13.7 inches
Step-by-step explanation
Area = base*height
(since it's a square, the lengths of all four sides of the board are equal. therefore, we can write the equation above like the following)
Area of square = side length^2
(square root both sides of the equation, and you get the following)
[tex]\sqrt{Area\\}[/tex] = side length
(now, substitute the info)
[tex]\sqrt{188\\}[/tex] = x
(solve)
x = 13.7 inches
Let $a \bowtie b = a+\sqrt{b+\sqrt{b+\sqrt{b+...}}}$. If $7\bowtie g = 9$, find the value of
================================================
Work Shown:
[tex]a \bowtie b = a + \sqrt{b+\sqrt{b+\sqrt{b+...}}}\\\\7 \bowtie g = 7 + \sqrt{g+\sqrt{g+\sqrt{g+...}}} = 9\\\\\sqrt{g+\sqrt{g+\sqrt{g+...}}} = 2[/tex]
After subtracting 7 from both sides.
Note how because we have an infinite sequence of nested radicals, we can let [tex]x = \sqrt{g+\sqrt{g+...}}[/tex] which means x is equal to 2 as well.
This lets us say
[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}} = \sqrt{g+x} = x[/tex]
Solve the equation [tex]\sqrt{g+x}= x[/tex] for x to get
[tex]\sqrt{g+x} = x\\\\g+x = x^2\\\\x^2-x-g = 0\\\\x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-g)}}{2(1)}\\\\x = \frac{1\pm\sqrt{1+4g}}{2}\\\\x = \frac{1+\sqrt{1+4g}}{2} \ \text{ or } \ x = \frac{1-\sqrt{1+4g}}{2}[/tex]
Since x is positive, this means we only focus on the first equation in the last line above.
Earlier we let x be equal to the infinite nested radicals involving g, but x is also equal to 2. So plug in x = 2 and use that to find g.
[tex]x = \frac{1+\sqrt{1+4g}}{2}\\\\2 = \frac{1+\sqrt{1+4g}}{2}\\\\4 = 1+\sqrt{1+4g}\\\\3 = \sqrt{1+4g}\\\\9 = 1+4g\\\\1+4g = 9\\\\4g = 8\\\\g = 2\\\\[/tex]
As a check, we can do the following
[tex]7 + \sqrt{2+\sqrt{2}} \approx 8.84775906502258\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2}}} \approx 8.96157056080647\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}} \approx 8.9903694533444\\\\[/tex]
we're slowly approaching 9
Answer: [tex]g = \boxed{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}}=2[/tex]
implies that
[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}}=\sqrt{g+2}=2[/tex].
Squaring both sides of this new equality, we have [tex]g + 2 = 4 \implies g = \boxed{2}[/tex]
can you help me solve this
Answer:
6 hours
Step-by-step explanation:
Subtract 553 from 265 to find the price without parts, we get 288
then divide 288 by 48. We get 6
This means 6 there was 6 hours of labor
Two friends went fishing on a lake. One friend's lure went 23 feet below the lake's surface, while the other friend's lure sank to a depth of 81 feet below the surface. What was the difference in the depths of the lures?
Answer:
[tex]Distance = 58\ feet[/tex]
Step-by-step explanation:
Represent the lure's difference with A and B;
[tex]A = 23\ feet[/tex]
[tex]B = 81\ feet[/tex]
Required
Determine the difference in depth between the lure's depth
The distance is calculated as follows;
[tex]Distance = B - A[/tex]
Substitute 23 feet for A and 81 feet for B
[tex]Distance = 81\ feet - 23\ feet[/tex]
[tex]Distance = 58\ feet[/tex]
Hence, the distance between both lure's is 58 feet
A scientist is conducting a study on the effect of eating chocolate and overall mood. They believe that gender is a significant factor. The participants are divided by gender. Then, within each group, participants are randomly assigned to consume either chocolate or a placebo and then rate their mood for the day. This experiment will run for two weeks. Which type of experimental design does this situation describe?
A. Randomized Block Design.
B. Matched-Pair Design.
C. Case-Control Design.
D. Completely Randomized Design.
Answer:
The correct option is;
A. Randomized block design
Step-by-step explanation:
A randomized block design is one where the sample or subjects of the experiment are split into groups called blocks of experimental units where the variation in each block is lower than the variation among or between blocks, such that variation is controlled. In a random order, the treatments are performed on each experimental of the blocks.
In the question, the experimental units are grouped by gender and the treatment (consumption of chocolate or placebo) is randomly administered to the experimental units.
A triangle is inscribed in a rectangle as shown below what is the area of the shaped region
The area of the shaded region is [tex]47.5cm^2[/tex].
Area of the shaded region.The area of the shaded region is the area of the whole region minus the area of the unshaded region.
How to find the area of the shaded region?The area of the whole region is equal to the area of the rectangle as a triangle is inscribed in a rectangle and the area of the unshaded region is equal to the area of the triangle.
Then the area of the shaded region will be the area of the rectangle minus the area of the triangle.
The area of the rectangle will be [tex]A_{1}=base\times height[/tex] where the base = 11 cm and height = 5cm.
Then we will get
[tex]A_{1}=11\times5\\A_{1}=55cm^2[/tex]
Now the area of the triangle is [tex]A_{2}=\dfrac{base\times height}{2}[/tex] where the base = 5cm and the height = 3cm.
Then we will get
[tex]A_{2}=\dfrac{5\times3}{2} \\A_{2}=\dfrac{15}{2}\\ A_{2}=7.5[/tex]
Then the area of the shaded region will be [tex]55-7.5=47.5cm^2[/tex].
So, the area of the shaded region is [tex]47.5cm^2[/tex]
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Write the sentence as an equation.
292 decreased by p is the same as 27
Type a slash (/)if you want to use a division sign.
Round 15.97 to the nearest tenth,
Answer:
20
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Brainliest please!!!
Is 5 a rationl or a irratinal
I hope this helps! :)
5 is a rational number!
Pls mark as BRAINLIEST
5 is a rational number because it can be written as a fraction; [tex]\frac{5}{1}[/tex]
♡ Hope this helps! ♡
❀ 0ranges ❀
Write the slope intercept form of the equation for the line.
Answer:
y = 2x -1
Step-by-step explanation:
y = mx + b
On the y-axis which is the vertical line, it touches the line is on -1.
Therefore, -1 is the y-intercept which is b.
y = mx - 1
Now the slope since it goes up 2 and right one to reach a point again the slope is 2/1 which basically just 2.
Now y = 2x - 1
Multiple choice algebra question
Answer:
Vertical translation of 4 units.
Step-by-step explanation:
If you add 4 to y, you would move up 4 because the y axis is vertical.
Diagram 2 shows a piece of rectangular card in grey colour
The white region is a ribbon with width y cm. The area of the card which is not covered by the ribbon is 96 cm.
Form an equation, in terms of x and y, based on the statements above.
Solution:
we have given the length of the rectangular card-
[tex]x + 5 \: cm[/tex]
and, width-
[tex]7 \: cm[/tex]
now, the area of the card will be- length×width.
so, we have-
[tex](x + 5) \times 7 \: cm^{2} \\ 7x + 35 \: cm^{2} [/tex]
we also have given the length of ribbon-
[tex]7 \: cm[/tex]
and, width-
[tex]y \: cm[/tex]
so, area of the ribbon is-
length×width
[tex]7 \times y \: cm^{2} \\ 7y \: cm^{2} [/tex]
now the area of shaded gray region will be-
[tex]7x + 35 - 7y[/tex]
Hence, the required expression would the above expression.
The weight in pounds of a baby in the first six months of life can be modeled by the
function w = 1.5m +7, where x is the age of the baby in months. According to this model,
what is the weight, in pounds, of a baby at 5 months of age? Numerical answer only.
Answer:
14.5
Step-by-step explanation:
You would plug 5 into the equation for m and have w = 1.5 (5) + 7
Then you would multiply 1.5 and 5 and get 7.5 and then add 7 and get 14.5
The weight of the baby in pounds at 5 months of age is 14.5 pounds.
Given,
The weight in pounds of a baby in the first six months of life can be modeled by the function:
w = 1.5m +7, where x is the age of the baby in months.
According to this model, we need to find what is the weight, in pounds, of a baby at 5 months of age.
What is a function?A function has an input and an output.
Example:
f(x) = x + 1
x = 1, f(1) = 1 + 1 = 2
Here,
x = 1 is the input and 2 is the output.
We have,
Function:
w = 1.5m + 7
We can consider that m = number of months.
This is why the question says this model can be used to find the weight of the baby in the first six months by putting m = 6.
w = 1.5m + 7
Here,
7 = the weight of the baby at birth
1.5m = baby weight increases by 1.5 per month.
Now,
The weight in pounds of the baby at 5 months of age is:
m = 5 months
w = 1.5 m + 7
w = 1.5 x 5 + 7
w = 7.5 + 7
w = 14.5 pounds.
Thus the weight of the baby in pounds at 5 months of age is 14.5 pounds.
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Rice weighing 3¾ pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answer:
15/16
Step-by-step explanation:
3 3/4 divided by 4 = 15/16
Max bought two deli sandwich rolls measuring 18 inches and 30 inches. He want them to be cut in equal sections that are as long as possible. Into what lengths should the rolls be cut?
Answer: Into 6 inches
Step-by-step explanation:
In this situation, the problem will be to find the greatest common factor of 18 and 30 because that is how you could divide them.
The GCF of 18 is 1,2,3,6,9, and 18
The GCF of 30 is 1,2,3,5,6,10,15 and 30
The greatest possible factor of both numbers is 6
Please Help ! Will give brainliest
Answer:
There is a probability of 0 that the student plays both string and brass.
Step-by-step explanation:
Looking at the universal set, there are 40 students at this high school, 15 of which play string, 20 play brass, and 5 play neither (probably drummers). Note how there is no intersection of A and B, which is the probability we are looking for.
Since there is no intersection in the universal set between subset A and subset B, you can say that there is a probability of 0 since there is no overlap between the two subsets.
Cheers.
3x to the power of 2 +6x=0 what is the degree of this polynomial?
Answer:
[tex]\huge\boxed{2}[/tex]
Step-by-step explanation:
Given Polynomial is:
[tex]3x^2 + 6x = 0[/tex]
Degree of polynomial is the highest power on the variable.
Here 2 is the highest power on the variable, So, it is the degree of polynomial.
|5+9-15)|= simplify the expression
Answer:
1
Step-by-step explanation:
please help to be marked brainliest number is 13
Answer:
C. 7500
Step-by-step explanation:
We must simply find out what 25% of 30,000 is.
Multiply .25 by 30,000 which equals 7,500
Answer:
7500
Step-by-step explanation:
Graph the inverse of the provided graph on the accompanying set of axes. You must
plot at least 5 points.
Answer:
*See attached image for the 5 points on the graph*
Step-by-step explanation:
Step 1: Find 5 points to calculate inverse
We can use the vertex(-1,-4), 2 y-intercepts(0,-3) and (0,-5) and 2 more points (3,-2) and (3,-6)
Step 2: Find the inverse
You find the inverse when you swap the 'x' and 'y' so it would be
Vertex: (-4,-1)
y-intercept 1:(-3,0)
y-intercept 2:(-5,0)
Point 1: (-2,3)
Point 2: (-6,3)
Step 3: Graph
Graph the points on a graph and connect the points
The inverse of a graph is done by reflecting the graph across the line [tex]y = x[/tex].
See attachment for the inverse graph.
From the given graph, we have the following 5 points.
[tex](x_1,y_1) = (8,-1)[/tex]
[tex](x_2,y_2) = (3,-2)[/tex]
[tex](x_3,y_3) = (-1,-4)[/tex]
[tex](x_4,y_4) = (3,-6)[/tex]
[tex](x_5,y_5) = (8,-7)[/tex]
Reflect the above points across [tex]y = x[/tex], to get the inverse function
[tex](x_1,y_1) = (-1,8)[/tex]
[tex](x_2,y_2) = (-2,3)[/tex]
[tex](x_3,y_3) = (-4,-1)[/tex]
[tex](x_4,y_4) = (-6,3)[/tex]
[tex](x_5,y_5) = (-7,8)[/tex]
The inverse graph must pass through the above points
See attachment for the inverse graph
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easy 10 points and brainliest :)
Answer:
y=0
Step-by-step explanation:
branliest
Answer:
2. Y=O
Step-by-step explanation:
I really don't have a good explanation but that's it
the sum of 2 positive integers is 3. the sum of their squares is 5. find the 2 numbers
Answer:
2 and 1
Step-by-step explanation:
1 + 2 = 3
(1*1) + (2*2) = 5
Answer:
2 and 1
Step-by-step explanation:
just simply subtract the sum of two numbers from one of the given numbers that is 3-2=1
now simpliy take the square of 1 and 2
1+4=5
Brickey, your friend, makes minimum wage ($7.25 an hour) at his job. He uses 1 gallon of gas to get to and from work and pays $2.29 per gallon. What percent of an hours work is paid to fuel?
Answer:
ok so he makes 7.25 per hour and he waste 2.29 he is wasting the 31.5% of the salari
Step-by-step explanation:
you have to multiply 2.29 by 100 and divide it into the 7.25
2.29 X 100=229/7.25=31.5
Amy and Jed are among the 35 people, who are standing in a line, one behind the other, waiting to buy movie tickets. The number of people in front of Amy plus the number of people behind Jed is 24. If there are 15 people behind Amy, including Jed, how many people are in front of Jed
Answer: 29
Step-by-step explanation:
Given : Total people in the line = 35
Number of people behind Amy = 15
⇒Number of people in front of Amy = Total people - (Amy and people behind Amy)
= 35-15-1
= 19
According to the question,
Number of people in front of Amy + Number of people behind Jed =24
⇒ 19 + Number of people behind Jed =24
⇒ Number of people behind Jed =24 -19 = 5
Then, Number of people are in front of Jed = 35 - (Jed and people behind Jed)
= 35-(5+1)
= 35-6=29
Hence, there are 29 people are in front of Jed.