Answer:
The smallest solution is x=-1
Step-by-step explanation:
Quadratic Equation
We have:
[tex]f(x)=2x+1[/tex]
[tex]g(x)=-(x-1)^2+3[/tex]
We'll find the solutions of f(x)=g(x), or:
[tex]2x+1=-(x-1)^2+3[/tex]
Operating:
[tex]2x+1=-(x^2-2x+1)+3[/tex]
[tex]2x+1=-x^2+2x-1+3[/tex]
Rearranging all terms on the left side:
[tex]2x+1+x^2-2x+1-3=0[/tex]
Simplifying:
[tex]x^2-1=0[/tex]
Since the term with the x is missing, we can solve for x:
[tex]x^2=1\qquad\Rightarrow x=\sqrt{1}=\pm 1[/tex]
There are two solutions:
x=1, x=-1
The smallest solution is x=-1
10) You and your friends order a meal for $116.29. How much
tip should you leave if you want to leave a 12% tip?
11) Originally priced at $19.59, a video game was found on a
62% off rack. What is the sale price of the video game?
12) A CD is marked with a sale sticker saying it is 56% off. The
original price is $10.17. What is the sale price?
Which linear equation has a slope of 3 and a y-intercept of -2?
y = 3x + 2
y=3x-2
y=-2x + 3
y = -2x - 3
Answer:
y=3x-2
Step-by-step explanation:
3 is the coefficient of x (slope)
-2 comes after (y-int)
linear equation y = 3x-2 has a slope of 3 and a y-intercept of -2.
What is the Slope of a line?A line's slope can be determined by looking at its slope. The slope is determined mathematically as "increase over run" (change in y divided by change in x). There are several ways to find the slope, including standard form, slope-intercept form, and point-intercept form.
Given, A linear equation that has a slope of 3 and a y-intercept of -2.
Y-intercept of -2 means at x = 0 y would be -2
The slope-intercept form of a line is
y = mx + c
where m = slope
c = constant
Substituting the values in the given equation
-2 = 0 * 3 + c
c = -2
thus, the equation of the line,
y = 3x -2
therefore, The y-intercept of the linear equation y = 3x-2 is -2, and its slope is 3.
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What is the product of 3/4 and6/ 7?
O -7/8
O -9/14
O 9/14
O 7/8
Answer:
Third choice. 9/14
Step-by-step explanation:
3/4 x 6/7 = 18/28 = 9/14
can you tell me how you get your answer
Answer:
The answer to this is: You click answer and then you just answer what the person asks and can i have brainliest?? please
Step-by-step explanation:
Answer:
For math I use my calculater :)
step-by-step explanation:
Using the following graph, determine the slope of the line,
The slope of the line is
Answer:
-2
Step-by-step explanation:
Just choose any two points and calculate the slope. The way to calculate the slope between two points (x1, y1) and (x2, y2) is (y2-y1)/(x2-x1)
Find the percent increase or decrease from Monday to Tuesday.
Miles Jan walked Monday: 12
Miles Jan walked Tuesday: 3
Answer:
the answer is -75% that mean 75% decrease
The coordinates for the vertices are A(1,3), B(4,0) ,C(1,-3) ,D(-2,0) what is the length of the AB
Answer: 3sqrt(2)
Step-by-step explanation:
d = sqrt[(3-0)^2 + (4-1)^2]
d = sqrt[9+9]
d = sqrt(18) = 3sqrt(2)
The figure shows a right triangle next to a square.
What is the total area of the shape they make?
Answer:
Step-by-step explanation:
By using the Formula:
Areatriangle=10*5/2=25
Areasquare=5*5=25
Total Area is: 25+25=50
It will be nice if you give me brainliest.Good luck!
Answer:
50cm²
Step-by-step explanation:
Square- length x breadth
=5cmx 5cm
=25cm²
Triangle- ¹/₂ x base x perpendicular height
= ¹/₂x 5cm x 10cm
=25cm²
Square- 25cm²
Triangle-+25cm²
total area- 50 cm²
I hope it helps
Thank U
Math is hard please help, and explain i need to learn this.
Answer:
c
Step-by-step explanation:
Answer:
C is the answer
Step-by-step explanation:
Can someone explain to me adding and subtracting mixed numbers
Answer:
1.Find the Least Common Denominator (LCD)
2.Find the equivalent fractions.
3.Add or subtract the fractions and add or subtract the whole numbers.
4.Write your answer in the lowest terms.
Step-by-step explanation:
Step-by-step explanation:
So first, you turn the mixed numbers into improper fractions. Then you change the denominators to the same number. Finally, you add or subtract.
Example:
4 1/5- 2 1/2= 21/5- 5/2=42/10-25/10=17/10=1 7/10
If gallon of paint covers of a wall, then how much paint is needed to cover the entire wall?
Answer:
4 gallons will be needed to paint an entire room
Four more than one-third x
Answer:
four more than 1/3 would be 1 and 2/3
Step-by-step explanation:
9514 1404 393
Answer:
(1/3)x +4
Step-by-step explanation:
One-third x is ...
(1/3)x
Four more than that is ...
(1/3)x +4
_____
Additional ways this can be written
1/3x +4
4 +1/3x
x/3 +4
4 +x/3
Which of these ordered pairs is a solution of 3x−y=12? Choose all that apply.
Answer:
(0,-12)
Step-by-step explanation:
so you can get a app to graph it or graph it your self but that is the answer
-5n+4n-7=8
What is the answer for n and how do you solve it
Answer:
-15
Step-by-step explanation:
First combine like terms, aka the variables
-5n+4n-7=8
-1n-7=8
Then, isolate the variable by adding 7 to both sides
-1n-7+7=8+7
-1n=15
Finally, solve by dividing both sides by -1
-1n/-1=15/-1
n=-15
Answer:
n = -15
Step-by-step explanation:
I'll try my best to explain how I solved this
Equation:
-5n + 4n -7=8
Add the light terms on each side:
-n -7 =8
Separate the variables from the numbers:
-n = 15
Do the operation necessary to solve it:
n = -15
Drag these numbers from least to greatest. 0.7, - 4.5, 0.3, - 0.5, 2.3
Answer:
-4.5, -0.5, 0.3, 0.7, 2.3
Step-by-step explanation:
use a number line:
what is the answer a b or c
Answer:
A
Step-by-step explanation:
I think
Answer:
66 tens
Step-by-step explanation:
66 hundreds is 6600, and if you divide it by 10, you get 660, or 66 tens.
what is the percent of 74 is 37
Answer:
50% take 37/74 ×100 to get the answer
The correct answer is 50.trust me it is
lev buys a drink of $3.05 and a slice of a pizza for $5.40 he now has $12.37 let how much money did teddy have to begin with
Answer:
12.37 + 5.40 + 3.05 = $20.82
What is the distance between -3 and 12?
Answer:
-15
Step-by-step explanation:
The required solution is 15.
It is required to find the solution.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
By the distance formula we get,
Distance between -3 and 12 is
=12-(-3)
=15
Therefore, the required solution is 15.
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Caroline walks 912 inches per second. As unit rate
Answer:
specify please
Step-by-step explanation:
Answer:
I have been trying to get this answer for the longest
Step-by-step explanation:
Camden paid $11.48 for sliced cheese at the deli counter. The cheese cost $3.28 per pound. How much cheese did Camden buy? *
Answer:
he bought 3.5 pounds because 3.28 times 3.5 equals the cost
Step-by-step explanation:
Find the y intercept
x-3y = 12
Help plz
Answer:
15
Step-by-step explanation:
Because 15 -3 will give you 12
Answer:
the y intercept is -4 or (0,4)
Step-by-step explanation:
To find the y intercept you have to make x zero, and vice versa. So:
0-3y = 12
-3y = 12
y = 12/-3
y = -4
the y intercept is -4 or (0,4)
Is x−1 a factor of 3x3−5x2−2?
Answer:
Yes
Step-by-step explanation:
According to google the anser is yes.
Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidants in foods such as blueberries can reduce and even reverse these age-related declines, at least in laboratory rats (Joseph et al., 1999). Based on these results, one might theorize that the same antioxidants might also benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of adults who are older than 65, and gives each participant a daily dose of a blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of . For the general population of elderly adults, scores on the test average μ and form a normal distribution with σ=9.
(a)-Can the researcher conclude that the supplement has a significant effect on cognitive skill? Use a two-tailed
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
Yes the researcher can conclude that the supplement has a significant effect on cognitive skill
b
[tex]d = 0.5778 [/tex]
c
The result of this hypothesis test shows that there is sufficient evidence to that the supplement had significant effect.The measure of effect size is large due to the large value of Cohen's d (0.5778 > 0.30 )
Step-by-step explanation:
From the question we are told that
The sample size is n=16
The sample mean is [tex]M = 50.2[/tex]
The standard deviation is [tex]\sigma = 9[/tex]
The population mean is [tex]\mu = 45[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o \mu =45[/tex]
The alternative hypothesis is [tex]H_a \mu \ne 45[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{M - \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }[/tex]
=> [tex]z = 2.31 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > z )[/tex]
[tex]p-value = 2 * P(Z > 2.31 )[/tex]
From the z-table
[tex]P(Z > 2.31 ) = 0.010444[/tex]
=> [tex]p-value = 2 * 0.010444 [/tex]
=> [tex]p-value = 0.021 [/tex]
From the obtained values we see that [tex]p-value < 0.05[/tex]
Decision Rule
Reject the null hypothesis
Conclusion
There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults
Generally the Cohen's d for this study is mathematically represented as
[tex]d = \frac{M - \mu}{\sigma }[/tex]
=> [tex]d = \frac{50.2 -45}{9 }[/tex]
=> [tex]d = 0.5778 [/tex]
HELP ILL AWARD BRAINLIEST
Answer:
Think about it
Step-by-step explanation:
If you made $20 in 2 hrs you made $10 per hour
To find out how much you make per certain number of hrs multiply $10 by the number of hours
The equation is y = 10x + 0 <-- this is also answer to number 4
10x is the constant of proportionality I think.
Laila reads 36 pages in 4 hours which expression can be used to find the number of pages she reads per hour
A.
[tex] \frac{36hours}{4pages} [/tex]
B.
[tex] \frac{4pages}{36hours} [/tex]
C.
[tex] \frac{4hours}{36pages} [/tex]
D.
[tex] \frac{36pages}{4hours} [/tex]
Answer:
D
Step-by-step explanation:
36 pages divided by 4
Solve the inequality:
4x−2≤6
Select one:
x≥1
x≤2
x≥2
x≤1
Answer:
x≤2Step-by-step explanation:
To do this, first add over the 2. That makes 4x≤8. Then divide by 4. That make x≤2
Answer:
x≤2
Step-by-step explanation:
4x-2≤6 add to 2 to both sides
4x≤8 divide both sides by four
x≤2
Hope this helps! :)
If -2x -4 = -4x + 3, then does x = 3
Answer:
No it doesn't.
Step-by-step explanation:
Help please! The problem is in the photo.
Answer:
f(-3) = 7
Step-by-step explanation:
For these types of questions, you need to replace the x's in the equation with whatever is inside f(x)
So if its f(5) you would sub 5 into where all the x's are
Walter is making a 300-mile trip from Wichita Falls, Texas to Austin, Texas. After the first 120 miles, he continues driving at 65 mph.
If the equation 120+65x=300 is used to describe this situation, what does the " x " represent?
Answer:
distance left
Step-by-step explanation: