find the following sum 7(3x2+2x-5)+2(-x2+3)
I think is -7
Step-by-step explanation:
because I calculated I'm not sure tho
Match each equation with its graph. y = 5x + 2, y = 3x + 3, y = 2x + 3
Answer:
Green line: y = 5x + 2
Red line: y = 3x + 3
Purple line: y = 2x + 3
Step-by-step explanation:
1) All the given equations are in slope-intercept form, or [tex]y = mx + b[/tex] format. When an equation is written in this form, the constant on the right side of the equation, or the [tex]b[/tex], represents the y-intercept. The y-intercept is the point at which the line crosses the y-axis.
Knowing this, the y-intercept of [tex]y = 5x + 2[/tex] must be (0,2). The only graph in which the line crosses the y-axis at the point (0,2) is the one with the green line, thus the graph of [tex]y = 5x + 2[/tex] is the green one.
2) Now, since the other two equations share the same y-intercept, we have two graphs left. We can find out which graph belongs to which equation by taking a look at the slope of the line. The number in place of [tex]m[/tex], or the coefficient of the x-term in an equation in slope-intercept format represents the slope. Thus, the slope of [tex]y = 3x +3[/tex] is 3 and the slope of [tex]y = 2x + 3[/tex] is 2.
Now, find the slope of one of the lines in the graphs. To do so, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of two points on the chosen line into the formula in order to figure out the line's slope. I chose to find the slope of the red line, using the points (0,3) and (-1,0):
[tex]m = \frac{(0)-(3)}{(-1)-(0)} \\m = \frac{0-3}{-1-0}\\m = \frac{-3}{-1} \\m = 3[/tex]
So, the slope of the red line is 3. Its equation must be [tex]y = 3x + 3[/tex] since it has the matching slope. By process of elimination, the purple line must have the equation of [tex]y = 2x + 3[/tex].
The Matching is:
Green line: y = 5x + 2Red line: y = 3x + 3Purple line: y = 2x + 3What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We know the slope- intercept form
y= mx+ b
where m is the slope.
For y= 5x+ 2 the slope is 5.
and, for y= 3x+ 3 the slope is 3.
and, for y= 2x+ 3 the slope is 2.
For Graph 1, the slope is 5/1= 5
and, For Graph 2, the slope is 6/2= 3
and, For Graph 3, the slope is 6/3 = 2
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Origin, one of the four characteristics of mapping rules, refers to _____. the use of a number that is not used again the use of a series of numbers in which each number is an equal distance from the next the use of ordered numbers such that two is less than three but greater than one the use of numbers used to group or sort responses when no order to the numbers exists the use of a series of numbers with a unique origin indicated by the number zero
Answer:
the use of a series of numbers with a unique origin indicated by the number zero.
Step-by-step explanation:
In Science, mapping experiment refers to an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
Origin, one of the four characteristics of mapping rules, refers to the use of a series of numbers with a unique origin indicated by the number zero.
In Mathematics, the origin is generally chosen to start from zero on a graph that gives the relationship between two variables.
4.7 + (-3.65) how do I work this
Answer:
1.05Explanation:
Adding a negative is the same thing as subtracting so rewrite the equation4.7 + (-3.65)
= 4.7 - 3.65
1.05Answer:
1.05
Step-by-step explanation:
4.7 + (-3.65)
= 4.7 - 3.65
= 1.05
Let me know if you have any questions :)
Should my answer be 85=360+12h
Answer:
h = [tex]\frac{- 275}{12}[/tex]
Step-by-step explanation:
85 = 360 + 12h
85 - 360 = 360 - 360 + 12h
- 275 = 12h
- 275 ÷ 12 = 12h ÷ 12
h = - 275/12
A research firm conducted a study to determine the average amount of money that smokers spend on cigarettes during a week. The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5. What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average
Answer:
0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5.
This means that [tex]\mu = 20, \sigma = 5[/tex]
Sample of 100:
This means that [tex]n = 100, s = \frac{5}{\sqrt{100}} = 0.5[/tex]
What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average?
This is the pvalue of Z when X = 21 subtracted by the pvalue of Z when X = 19. So
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{21 - 20}{0.5}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 19
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19 - 20}{0.5}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.9772 - 0.0228 = 0.9544
0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average
The table shows the amount in fluid ounces of
each ingredient Randolph used to make fruit
punch for a party.
How many pints of this fruit punch did Randolph
make?
Fruit Punch
1,792 pints
Ingredient
Amount Used
(fluid ounces)
B 102 pints
Orange juice
24
7 pints
Apple juice
24
Lime soda
64
D 14 pints
Answer:
Step-by-step explanation:
A farmer's market sells Apple's for $2.30 per pound what would be the cost of 3\2\5
Answer:
3 lb = $6.90
2 lb = $4.30
5 lb = $11.50
Step-by-step explanation:
Answer:
The cost of 3 apples: $6.90
The cost of 2 apples: $4.60
The cost of 1 apple: $2.30
Step-by-step explanation:
2.30 times 3 equals $6.90
2.30 times 2 equals $4.60
2.30 times 1 equals $2.30
Side Note:
hope this helps have a nice day :)
you are given the quadratic function: f(x) = 3x{2} + 4x - 2 Find the value of f(-1)
will mark brainliest!!! PLEASSE HELP! show work too
Answer:
f(-1) = -3
Step-by-step explanation:
(Assuming {2} is ^2)
f(-1) = 3(-1)² + 4(-1) - 2
= 3(1) - 4 - 2 = -3
PLEASE HELP!!
The scale on a map reads 0.5 inch = 30 miles. If two cities on the map are 5.75 inches apart, find the actual distance
between the cities.
Answer:
345 miles
Step-by-step explanation:
So we know that 2 cities are 5.75 inches apart on the map and the scale reads for every 0.5 inch its 30 miles. So we can first start of by diving 5.75 by 0.5, since we need to know how many “0.5” inches are in 5.75 inches. You’d get 11.5. Now 11.5 multiply that by 30 which would get you 345 miles.
Write an equation that represents each side of the figure. Write your equations in slope-intercept form.
Answer:
Top: y=3
Top right: y=-3/2x+6
Bottom right: y=3/2x-6
Bottom: y=-3x
Bottom left: y=-3/2x-6
Top left: y=3/2x+6
Step-by-step explanation:
Top: y=3
Top right: y=-3/2x+6
Bottom right: y=3/2x-6
Bottom: y=-3x
Bottom left: y=-3/2x-6
Top left: y=3/2x+6
The functions q and r are defined as follows.
q(x)+−5x5
r(x)+−2x5
Find the value of r(q(−1)).
Answer:
eat
Step-by-step explanation:
eat
the height, in feet, of Ferris wheel rider t seconds after the ride begins is given by h(t)=-35cos(2t)+45. What is the average rate of change of height, in feet per second, from time t=30 to t=45? (radians)
Answer: b
Step-by-step explanation: the answer is got was 1.166666
an airplane cruises 1 kilometer in 1 12 of a minute. what is its cruising speed?
Answer:
answer is 12
Step-by-step explanation:
hope this helps
cuál es la regla algebraica ? por favor
Answer:
esto es correcto, la y sigue siendo la misma
Step-by-step explanation:
Answer: y=4
Step-by-step explanation:
y = 4
Por que y siempre es equitativo a cuatro.
Perdón por los errores en mi español. Es mi segundo idioma.
Which equation represents the line shown on the coordinates grid below?
Find the zeros of the function. Enter the solutions from least to greatest . h(x) = (- 4x - 3)(x - 3) lesser x = greater
9514 1404 393
Answer:
-3/4, 3
Step-by-step explanation:
The zeros are the values of x that make h(x)=0. Those are the values of x that make the factors of h(x) be zero.
-4x -3 = 0 ⇒ x = -3/4
x -3 = 0 ⇒ x = 3
The zeros of the function are -3/4 and 3.
Will mark brainliest for any help!
Answer:
56.1
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent/ hypotenuse
cos N = PN / NO
cos 27 = 50/ x
x cos 27 / 50
x = 50/cos 27
x=56.11631188
Rounding to the nearest tenth
x = 56.1
what is the total surface area in square millimeters, of the rectangle solid shown below? HELP PLEASE!
Answer:
D) 290
Step-by-step explanation:
w = 5
l = 12
h = 5
Formula:
SA = 2(wl + hl + hw)
SA = 2(5*12 + 12*5 + 5*5)
SA = 2(60 + 60 + 25)
SA = 2(145)
SA = 290
Find the arithmetic mean of 64 and 69
Answer:
66.5
Step-by-step explanation:
64+69=133
133÷2=66.5
In a survey of 526 visitors to the craft center, 378 want the craft center to be open later in the evenings. What is the interval that is likely to contain the true population proportion?
37% to 69%
16% to 17%
20% to 38%
0% to 53%
Answer:
37% to 69%
Step-by-step explanation:
Simplify -3 p3 + 5 p + (-2 p2 ) + (-4) - 12 p + 5 - (-8 p3 ). Select the answer in descending powers of p . 1 - 7 p - 2 p2 + 5 p3 1 + 7 p + 2 p2 - 5 p3 5 p3 - 2 p2 - 7 p + 1 -5 p3 + 2 p2 + 7 p + 1
Step-by-step explanation:
Let's simplify step-by-step.
−3p3+5p−2p2−4−12p+5−−8p3
=−3p3+5p+−2p2+−4+−12p+5+8p3
Combine Like Terms:
=−3p3+5p+−2p2+−4+−12p+5+8p3
=(−3p3+8p3)+(−2p2)+(5p+−12p)+(−4+5)
=5p3+−2p2+−7p+1
Answer:
=5p3−2p2−7p+1
For the following right triangle, find the side length x.
Answer:
x=25
Step-by-step explanation:
a^2+b^2=c^
24^2+7^2=c^2
576+49=626
sqrt of 625 is 25
Describe how the graph of y=2x and y=2x+7 are the same.
Answer:
These two equations produce a similar graph because they both share the same slope: 2. The only difference is that the y-intercept for the second equation is a positive 7, making the graph shift upwards. Other than this, both equations would be parallel (and identical) on the graph.
Plssss helppppppl:((((
Answer:
I think it's 1.5 I'm not sure ._.
Answer:
1/3
Step-by-step explanation:
Total students = 36
No of boys = 24
No of girls = 36 - 24 = 12
Probability of selecting a girl = 12/36 = 1/3
Which graph represents a function?
Answer:
C
Step-by-step explanation:
In D, the x value repeats
Answer:
C
Step-by-step explanation:
C has a positive then negative slope, while D can't even be a function.
I hope this helps :)
PLEASE HELP
When Abram was born, his parents put $2,000 into an account that yielded 3.5% interest, compounded semiannually. When he 16 , his parents will give him the money to buy a car. How much will Abram receive on his 16th birthday ?
Compound interest is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]
If P = $2000, R = 3.5%, n = 2 and T =16 years.
The amount received on his 16th birthday is $3480.
What is compound interest?
It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]
Where,
R = rate
P = principal.
n = number of times compounded annually.
t = number of years.
We have,
Principal = $2,000
Rate = 3.5%
Semiannually means twice a year so,
n = 2
Time = 16 years
Now,
The amount received on his 16th birthday:
A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]
A = 2000 [tex](1 + \frac{3.5}{2\times 100}) ^{2\times16}[/tex]
A = 2000 [tex](1 +0.0175) ^{32}[/tex]
A = 2000 x [tex]1.0175^{32}[/tex]
A = 2000 x 1.74
A = $3480
Thus,
If P = $2000, R = 3.5%, n = 2 and T =16 years.
The amount received on his 16th birthday is $3480.
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A band director is trying to decide what music to play for the halftime show. She surveys the marching band
students to get their opinions about which music they would prefer. Which of the following sampling techniques
would provide a stratified random sample that would accurately represent the students' opinions?
Have a computer randomly sort the band members, then select the first 30.
O Randomly select 2 students from each type of instrument (trumpet, saxophone, clarinet, etc.).
O Randomly pick a letter of the alphabet and survey every student whose last name begins with that letter.
Randomly pick a year of students (freshman, sophomore, junior, or senior) and survey every student from the
selected group
Mark this and retum
Save and Exit
Nex
Submit
Answer:
B
Step-by-step explanation:
WILL GIVE BRAINLIEST FOR FIRST ANSWER!
In some sparsely populated areas of the United States, the speed limit on highways can be as high as 80 miles per hour (mph).
What is this speed in meters per second (m/s)?
Answer:
B
Divide the speed value by 2.237
80/2.237=35.76
Answer:
35.76
Step-by-step explanation:
The function g is defined as follows.
g(x) = 2x²+7
If the graph of g is translated vertically downward by 5 units, it becomes the graph of a function h.
Find the expression for h(x).
x
Answer:
h(x) = 2x²+2
Step-by-step explanation:
Given the function g is defined as follows.
g(x) = 2x²+7
If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;
h(x) = 2x²+7 - 5
h(x) = 2x²+2