The x-intercepts of the graph of the function [tex]y = x^2 - 3x - 28[/tex] are x = 7 and x = -4.
To find the x-intercepts of the graph of the function y = [tex]x^2 - 3x - 28[/tex], we need to set y equal to zero and solve for x. The x-intercepts occur when y is equal to zero.
Setting y = 0, we have the equation:
[tex]0 = x^2 - 3x - 28[/tex]
To solve this quadratic equation, we can factor it or use the quadratic formula. Let's use the quadratic formula in this case.
The quadratic formula states that for an equation of the form [tex]ax^2[/tex] + bx + c = 0, the solutions for x can be found using the formula:
x = [tex]ax^2[/tex]
For our equation [tex]0 = x^2 - 3x - 28[/tex], we have a = 1, b = -3, and c = -28. Plugging these values into the quadratic formula, we get:
x =[tex](-(-3) ± √((-3)^2 - 4(1)(-28))) / (2(1))[/tex]
Simplifying further, we have:
x = (3 ± √(9 + 112)) / 2
x = (3 ± √121) / 2
x = (3 ± 11) / 2
This gives us two possible solutions for x:
x1 = (3 + 11) / 2 = 14 / 2 = 7
x2 = (3 - 11) / 2 = -8 / 2 = -4
Therefore, the x-intercepts of the graph of the function y = [tex]x^2 - 3x - 28[/tex]are x = 7 and x = -4.
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A blueprint for a building includes a rectangular room that measures 3 inches long and 7.5 inches wide The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building?
3 · 7.5 = 22.5: 22.5 is the area of the building on the blueprint in inches
22.5 · 10 = 225 feet squared is the area of the building in real life.
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Some researchers postulate the frequency of colds can be dramatically reduced with regular exercise. In 2010, a group of researchers published an article related to this research question in Medical News Today. The article was based on the findings of a study by researcher David Nieman that followed 1,002 randomly selected people aged 18-85 years for 12 weeks, asking them whether they usually exercise 5 or more days per week (Yes or No) as well as having them record on a weekly basis whether they had a cold during the previous week (Yes or No).
Suppose the researcher would like to plot the data on whether the study participants usually exercised or more days per week. Which of the following would be an appropriate graph?
a. bar chart
b. a scatterplot
c. parallel boxplots
d. a single histogram
Answer:
Option a (Bar Chart) is the right approach.
Step-by-step explanation:
Even before we want to equate or compare the distinct types, a bar chart was being used, it is a set of productivity and profitability, with either the price fluctuations over a given time displayed by each bar.
We would like to compare two different groups here:
Individuals who work out five days a week or even more than that. Someone who doesn't do 5 or maybe more days of exercising.The other options offered were never relevant to the relation or condition presented. So, option b seems to be the correct one.
Use the LCD to rewrite the 1/6 and 3/8 with the same denominator.
Answer:
1/6 becomes 4/24 and 3/8 becomes 9/24.
Step-by-step explanation:
The LCD of the denominators is 24 because that is the lowest number that 6 and 8 are both related too (6 times 4 is 24, and 8 times three is 24). Since 6 goes into 24 4 times, multiply 1 (the numerator) by 4 and you get 4. Since 8 goes into 24 3 times, multiply 3 (the numerator) by 3 and you get 9.
I WILL MARK BRAINLIEST TO THE QUICKEST AND RIGHT ANSWER!
-4x + 7 ≥ 27
Answer:
x should be less than or equal to -5. in other words anything below -5
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(4, -10) and (0,0)
Answer:(2, -5)
Step-by-step explanation:
Given the linear system:
2x - 2y + z = 1
2y + 2z = 10
z = 3
How would you solve for y?
Answer: Substitute the value z = 3 into the second equation
Given is three linear equation in three variables. We can solve for y by substituting the value of z = 3 into the second equation.
How to solve linear equations in three variables?To solve the linear equations in three variables, follow the below steps:
Take any two equations and solve it for one variableAgain take another two pair of equations and solve for the same variableWe have a system of two equations with two unknown variables. Solve the two equationsAgain substitute the evaluated values of the variables into any of the original equations and solve for unknown variables.Solving for y :-
z = 3
2y + 2z = 10
2y + 2 * 3 = 10
2y + 6 = 10
2y = 4
y = 2
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Alice bought a book for $12. This is 80% of the original price. What was the original
price of the book?
Answer: $2.40 and he saved $9.60 follows: $12 x . 80 = $9.60 savings
On a number line, suppose the coordinates is A is 0 , and AR =20
Answer:
50
Step-by-step explanation:
Duh
divide a³+8b³ by a+2b
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $40 million after 4 years, as shown in the graph:
There is a graph of a line with Years on the x axis and Profits in millions on the y axis that passes through 1, negative 50 and 4, 40.
Which equation most closely represents the line depicted in the graph?
f(x) = −30x + 80
f(x) = −40x + 4
f(x) = 40x − 4
f(x) = 30x − 80
Answer: The answer is D ) f(x) = 30x − 80
Step-by-step explanation:
I honestly just copied this from some other guy
Answer: f(x) = 30x − 80
Please show me how you arrived at your answer
Answer:
x=-4
When x is -4, the y value (which is what the function spits out) is 8.
Maria bought 19 pounds of flour for nine dollars how many pounds of flour did she get per dollar
Divide money by pounds,
9/19
Price per pound of flour
$0.473
Answer:
cacluate it 19×9= ? hope thid helpeddddd
Will give brainliest
Answer:
Look below. Just add hkw many places there are
Step-by-step explanation:
Ex 2.3(4.5) = (.3 .5) so two decimal places thank you:)))))
Answer:
he is right man
Step-by-step explanation:
...................................................................
Answer:
29 degrees
Step-by-step explanation:
Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions.
Listed below are selling prices (dollars) of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine. Are the resulting statistics representative of the population of all TVs that are 60 inches and larger? If you decide to buy one of these TVs, what statistic is most relevant, other than the measures of central tendency?
1550 1650 1600 1650 1500 1200 1650 1800 1200 1050 1650 1850
Answer:
Step-by-step explanation:
a) Mean the sum total of the given variables divided by the sample size given.
Mean = (Σx)/N
Σx = 1550 +1650 +1600 +1650 +1500 +1200 +1650+ 1800+ 1200 +1050 +1650+ 1850
Σx = 18,350
N = 12
Mean = 18,350/12
Mean = 1529.17
b) Median is the data at the middle if the given dataset after rearrangement. Arrangement can either be in ascending or descending order.
Rearranging the dataset in ascending order of magnitude.
1050 1200 1200 1500 1550 (1600 1650) 1650 1650 1650 1800 1850
It is seen that two values 1600 and 1650 are values that falls in the middle, hence we will take their average.
Median = 1600+1650/2
Median = 1625
c) Mode is the value in the dataset that occur the most i.e value with the highest frequency. According to the data only 1650 occurs 4 times, hence the mode of the data is 1650.
d) Midrange of the data is the average of the highest values and the Lowest value.
Midrange = Maximum value+Minimum value/2
Max value = 1850
Min value = 1050
Midrange = 1850+1050/2
Midrange = 2900/2
Midrange = 1450
4) No, the resulting statistics are not representative of the population of all TVs that are 60 inches and larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine, therefore we can conclude that, the dataset is representative of the best type of TVs that are 60 inches and larger and not all the sets of TVs
- The measure of dispersion relevant is the STANDARD DEVIATION other than the measures of central tendencies above because it shows how the selling prices of the different best TVs varies especially that of variation from the mean.
Can u ease help linked a photo
What is the difference, in hours and minutes between these times?
a)11 25 and 14 10
Answer:
2 hours and 45 minutes is the correct answer for this question
The sum of three consecutive even integers is 72 Letx represent the first integer, x + 2 represent the second integer, and x + 1
represent the third integer
Which equation can be used to find the first integer?
2x + 64 = 72
3x + 72 - 2x + 6
3x + 2x + 6
3x + 6 = 72
Answer:
3x+6=72
Step-by-step explanation:
1.st integer is x
2.nd is x+2
Thrd is x+4
So the sum is x+x+2+x+4=3x+6=72
Janelle can paint 4/5 of a picture in 2/7 of an hour how many can she pain in a full hour
Answer:
2 4/5 pictures
Step-by-step explanation:
We can use a ratio to solve
4/5 picture x picture
-------------- = -------------
2/7 hour 1 hour
Using cross products
4/5*1 = 2/7x
Multiply each side by 7/2
4/5 * 7/2 = 7/2 * 2/7 x
28/10 =x
2 8/10=x
2 4/5
does A line segment always contains a line?
Answer:
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints
Step-by-step explanation:
line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.
Hannah is participating in a marathon. She can run 4 miles in 50 minutes. At this rate, how long will it take Hannah to run 30 miles?
A. 375 hours
B. 200 hours
C. 6.25 hours
D. 4.5 hours
Express the fractions 2/3, 3//4 and 5/6 as equivalent fractions with a denominator of
12
Answer:
like 2/3 or 15/16; Mixed number - like 1 1/2 or 4 5/6; Integer - like 5 or 28
Step-by-step explanation:
The required fractions for 2/3, 3/4, and 5/6 with a denominator of 12 are 8/12, 9/12, and 10/12 respectively
Given the following fractions
2/3, 3/4 and 5/6
We are to write as equivalent fractions with a denominator of
12
For the fraction 2/3;
[tex]= \frac{2}{3} \frac{4}{4}\\= \frac{2 \times 4}{3 \times 4} \\= \frac{8}{12}[/tex]
For the fraction 3/4
[tex]= \frac{3}{4} \frac{3}{3}\\= \frac{3 \times 3}{4 \times 3} \\= \frac{9}{12}[/tex]
For the fraction 5/6;
[tex]= \frac{5}{6} \frac{2}{2}\\= \frac{5 \times 2}{6 \times 2} \\= \frac{10}{12}[/tex]
Hence the required fractions for 2/3, 3/4, and 5/6 are 8/12, 9/12, and 10/12 respectively
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Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
What is the value of the expression below when x =
5?
5x + 6
Answer:
x=5
5×x+6
5×5+6
25+6
31
31 is the value of expression 5x + 6 when x is 5.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 5x+6
Five times of x plus six
We need to find the value of the given expression when the value of x is five.
x=5
We need to substitute the value of x in the given expression
5(5)+6
Five times of five is twenty five and when added with six we get 31
25+6
31
Hence, 31 is the value of expression 5x + 6 when x is 5.
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1. 2/8 divided by 4 2. 3/9 divided by 6
Answer:
1. 1/16
2. 1/18
Answer:
1. 1/16
2. 1/18
a b c or d ..........................
Ilana needs d more dollars to buy a new scrapbook that costs $8.35. She has $4.88. Solve the equation $4.88+d=$8.35 to find how much more money Ilana needs.
Answer:
$3.47
Step-by-step explanation:
$4.88 + d = $8.35
-4.88. -4.88
d = $3.47
$3.47 more money Ilana need to buy a new scrapbook that costs $8.35.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Ilana needs d more dollars to buy a new scrapbook that costs $8.35.
She has $4.88.
The given equation is $4.88+d=$8.35
We need to find value of d to find how much money ilana needs.
The given equation is four point eight eight plus d equal to eight point three five.
$4.88+d=$8.35
Let us separate d
Subtract 4.88 on both sides
$4.88+d-$4.88=$8.35-$4.88
d=$3.47
Hence $3.47 more money Ilana need to buy a new scrapbook that costs $8.35.
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WILL MARK BRAINLIEST just answer ASAP please
Answer:
-multiple property of equality
-equalavlinent equation
- distributive property
-subtraction property of equation
-transitive property
-division property of equality
-given
Step-by-step explanation:
A recipe calls for quarter of a cup of sugar to make a chocolate mug brownie. How
many mugs of brownies can be made with 1 cups of sugar?
Answer:
4 brownies because 1/4 cup of sugar is used to make one brownie so if we use a whole 4/4 cups of sugar we would be able to make 4 brownies
2. The probability of a success must remain constant in a binomial experiment.
(a) Explain why this is true.
(b) How does this relate to the requirement of independence in a binomial experiment?
Answer:
It takes about 18m
Step-by-step explanation:
An experiment is said to be binomial in nature if and only if it obeys the following conditions which include :
Fixed number of trials Each trial must be independent Only two possible outcomes Probability of success on each trial is the same.When an experiment obeys these conditions, then it can be adjudged to be a binomial experiment.
The probability of success on each trial must the same, this also allows the probability of failure to be the same throughout the experiment since there are only two possible outcomes on each trial and the outcomes are equally likely. Independence in a binomial experiment entails that, each individual trial does not depend on the result or outcome of the previous trial, since the probability of success is constant all through the experiment, then independence of each trial is a necessary prerequisite for a binomial experiment.Hence, a binomial experiment must meet the four listed requirements.
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