Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary. Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction –5.7 –4 –1 –0.7
Answers
Answer:
- 0.7
Step-by-step explanation:
We are given the general quadratic formula, as " \(x = -b \frac{+}{-} \sqrt{(b^2-4ac)} / 2a\). " This can be represented by two separate formula's, which will come in handy when determining the positive and negative roots of the equation ( and here we need the negative root ):
1 ) \(x = - b+ ( \sqrt{b^2-4ac} ) / 2a\),
2 ) \(x = - b- ( \sqrt{b^2-4ac} ) / 2a\)
We know that a = 1, b = - 5, and c = - 4 from the equation " \(0 = x^2 - 5x - 4\) " ( which can be rewritten in the form \(0 = ax^2 + bx + c\) ). Therefore, simply plug in these values into the quadratic formula to receive two solutions:
\(x = 5 + ( \sqrt{( - 5 )^2 - 4( 1 )( - 4 )} ) / 2( 1 ),\\x = 5 + ( \sqrt{25 + 16} ) / 2,\\x = 5 + \sqrt{41} / 2,\\x = ( About ) 5.7\)- This is our positive solution
__________
\(x = 5 - ( \sqrt{( - 5 )^2 - 4( 1 )( - 4 )} ) / 2( 1 ),\\x = 5 - ( \sqrt{25 + 16} ) / 2,\\x = 5 - \sqrt{41} / 2,\\x = ( About ) - 0.7\)- And this is our negative solution
You can see that - 0.7 is the negative real number solution to Joline's quadratic equation!
Answer:
D
Step-by-step explanation:
the letter to the answer -0.7
Related Questions
What is the answer to 1/5x - 2 = 4 Help
Answers
Work:
1/5x - 2 = 4
1/5x = 6
1/5x divided by 1/5, which would cancel out to x
6 divided by 1/5 work is
30/5 divided by 1/5, which would simplify to 6.
Therefore, x = 6.
The solution to the equation 1/5x - 2 = 4 is given by x = 30.
Given data:
To solve the equation (1/5)x - 2 = 4, we will isolate the variable x as:
Step 1: Add 2 to both sides of the equation to eliminate the -2 term on the left side:
(1/5)x - 2 + 2 = 4 + 2
On simplifying:
(1/5)x = 6
Step 2: Multiply both sides of the equation by 5 to get rid of the fraction (1/5):
5 * (1/5)x = 5 * 6
On simplifying:
x = 30
Hence, the solution x = 30.
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Simplify each expression 2m+6(2/3-m);m=4
Answers
Answer:
3 (m-2)-5=8-2 (m-4)
Step-by-step explanation:
please mark me as brainliest.
Answer:
-12
Step-by-step explanation:
how to calculate quantity produced from fabrication and finishing hours stoneage surfboards question
Answers
To calculate the quantity produced from fabrication and finishing hours for Stoneage Surfboards, you would need to have additional information such as the production rate or efficiency of the fabrication and finishing processes. Without specific data on the production rate, it is not possible to determine the exact quantity produced.
However, if you have the production rate, you can use the following formula:
Quantity Produced = Production Rate × Fabrication and Finishing Hours
For example, if the production rate is 5 surfboards per hour and you have 8 hours of fabrication and finishing time, the calculation would be:
Quantity Produced = 5 surfboards/hour × 8 hours = 40 surfboards
Remember to adjust the units and variables based on the specific information and units of measurement used in Stoneage Surfboards' production processes.
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Can someone pls help me
Answers
Answer:
Total surface area of the cone = 208.81 sq cm
explanation
Diameter of the cone (d) = 7 cm
Slant height (L) = 15.5 cm
1) The radius of the cone= Half of the diameter
= 7/2 cm = 3.5 cm
⇒ r = 3.5 cm
Now, Total surface area of the cone =
taking π = 3.14
We get
and πrl = 3.14 x 3.5 + 15.5 = 170.345
So, Total surface area of the cone = 38.465 + 170.345 = 208.81 sq cm
How would you convert 18 months to years?
Answers
Answer:
1 year and 6 months
Step-by-step explanation:
You would do 12 month ia a year and then you would do 12- 18 and get 6 months.
Which graph represents an exponential growth?
Answers
An exponential function can represent growth or decay.
The graph represents an exponential growth function is given by \(y = ab^{x}\).
An exponential function is represented as:
\(y = ab^{x}\)
Where:
a represents any constant value.
b represents the growth or decay rate of the function
When the value of b is greater than 1, then the exponential function represents growth
Graph shown below represents an exponential growth function.
Hence, the graph representing an exponential growth function is graph traced by \(y = ab^{x}\).
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Please help me it's very important that this gets done asap
Answers
Answer:
√32 or 4√2 or 5.657 (3 d.p.)
Step-by-step explanation:
Use Pythagoras’ Theoremd² + 7² = 9²Evaluate the known squaresd² + 49 = 81Subtract 49 from both sides to make d² the subjectd² = 81 - 49 = 32d = √32 = 4√2 = 5.657 (3 d.p.)9. What is the volume of the given prism? Round the answer to the nearest tenth of a centimeter.
The figure is not drawn to scale.
8.8 cm
/
4.7 cm
13.1 cm
313.3 cm3
436.4 cm
541.8 cm3
681.5 cm3
Answers
Answer:
The answer is 541.8 cm³
Step-by-step explanation:
you just have to multiply the measures of each side:
(8.8)(4.7)(13.1) = 541.8
really could do with a hand on these two questions! much appreciated
Answers
Answer:
1. 3x + 14
2. x^2 - 4x - 12
Step-by-step explanation:
just FOIL it out
Answer:
the first one is 3x+14 and the second one is
\( {x}^{2} - 4x - 12\)
I hope that helped(: and btww do you mind helping me as wellll I got homework that's due tomorrow
If you launch the cannonball from the ground instead (hi=0), what does that change in the original equation?
Answers
Answer:
the value of hi changes from 58 to 0:
h(t) = -4.9t^2 +19.8t
Step-by-step explanation:
If the initial height changes, then the term in the equation that represents that height will change. The initial height term is hi, so it changes from 58 to 0.
\(h(t)=-4.9t^2+19.8t+0\\\\\boxed{h(t)=-4.9t^2+19.8t}\)
*URGENT*
I’ve been doing this problem over and over but i have a feeling i’m wrong, please help!!
Answers
\(\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m\)
Anybody know the answer and how did you get it
Answers
Answer:
so I'm guessing you're solving for x
because angle 2 is the vertical angle to angle 3 so this means that they are congruent
4x-26=3x+4
4x-3x=4+26
x=30
(9,3) (0, 12) dtermine the slope of the line
Answers
Answer:
-1
Step-by-step explanation:
(9,3) (0,12)
(x1,y1) (x2,y2)
to find the slope, use this equation:
y2-y1/x2-x1
12-3/0-9
the slope is 9/-9 = -1
Lydia is playing Galaxy 8RX. After three misses, the game is over. Last week, Lydia kept track of how long her games lasted. Hse msde a line plot of her data. Lydia said,"My best time is 2 3/4 minutes longer than my worst time because 4 1/4-1 1/2=2 3/4. Is subtraction the correct operation to compare Lydia's best and worst times?Explain. Are Lydia's calculations accurate?Show how you know. In the line plot, what do the numbers Lydia subtracted represent? Does Lydia's conclusion make sense? How did you decide? If not, what can you do to improve her reasoning?
Answers
Answer:
Yes ; Yes ; Yes it makes sense
Step-by-step explanation:
1.) Lydia used subtraction operator to define and establish a relationship between her best and worst game times ; Hence we could conclude that Lydia is correct as this gives the range between both times.
From the numbers given in the question as their is no graph attached :
4 1/4 - 1 1/2
17/4 - 3/2
(17 - 6) / 4
11 /4
= 2 3/4
The subtracted numbers represent the duration of each of the three times game was played ; Hence the numbers represents the game times.
Yes ; Her conclusion makes sense ; as she was able to deduce the range between her best and worst game time
Complete the equation for the linear relationship in slope-intercept form.
Answers
The equation for the linear relationship in slope-intercept form is
y = 250x + 250
We have,
From the graph,
The coordinates are: (1, 250) and (2, 500)
Now,
The equation can be written as:
y = mx + c
Now,
m = (500 - 250) / (2 - 1)
m = 250
Now,
(0, 250) = (x, y)
250 = 250 x 0 + c
c = 250
Now,
y = mx + c
y = 250x + 250
Thus,
The equation for the linear relationship in slope-intercept form is
y = 250x + 250
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is a circuit-free simple graph with n vertices and at least n-1 edges connected? why?
Answers
Since w is not connected to u or v by a path, it must be connected to some other vertex in the graph. Let's call this vertex x. Since x is connected to w and not connected to u or v, the path from u to v must pass through x and w. this creates a cycle in the graph, which contradicts our assumption that the graph is circuit-free.
The graph is circuit-free, there is no cycle that includes both u and v. Therefore, the only way to reach vertex v from vertex u is to go through other vertices in the graph. Let's assume that the shortest path between u and v has length k.
Since the graph is simple and has n vertices, the maximum degree of any vertex in the graph is n-1. This means that there are at most n-1 vertices adjacent to vertex u.
Therefore, we have shown that if a graph is circuit-free, simple, and has n vertices and at least n-1 edges, then it must be connected.
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An image of a rhombus is shown.
A rhombus with a base of 18 inches and a height of 16 inches.
What is the area of the rhombus?
288 in2
144 in2
136 in2
68 in2
Answers
If a rhombus with a base of 18 inches and a height of 16 inches has an area of 288 square inches
What is Polygon?a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
A rhombus is a quadrilateral whose four sides all have the same length.
Given that rhombus with a base of 18 inches and a height of 16 inches.
Height = 16 inches
Base = 18 inches
Area of the rhombus = Base × Height
=16×18
288 square inches.
Hence, if a rhombus with a base of 18 inches and a height of 16 inches has an area of 288 square inches.
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Answer:
288
PLEASE THANK AND RATE 5 STARS
For this performance assessment we are going to return to the fact that the sum of the three interior
angles of a triangle is 180 *. Your task will be to demonstrate that we can know this is true by
making an argument based on previously proved statements and logical ways of reasoning. In fact,
you are going to have an opportunity to prove this statement in two different ways.
Answers
The proof is shown below:
What is Angle Sum Property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Given:
CB || HE
Now using the property of parallel lines.
So,
<HAC = <ACB (alternate interior angles)
<EAB= <ABC (alternate interior angles)
Now, HAE is a straight line then
<HAC + <CAB + <EAB = 180 ( linear pair)
<ACB + <CAB + <ABC = 180
Hence, the sum of the three interior angles of a triangle is 180.
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Enter the number that belongs in the green box. [?] 29° 7 47° Round to the nearest hundredth.
![Enter the number that belongs in the green box. [?] 29 7 47 Round to the nearest hundredth.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/5NIYNb88OEOfVtpIX8NHJGn8wwpqUuBC.jpeg)
Answers
Answer:
Solution is in the attached photo.
Step-by-step explanation:
Take note for this question we can use the Sine rule to straightaway find the unknown value.
![Enter the number that belongs in the green box. [?] 29 7 47 Round to the nearest hundredth.](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/kCKxj9ErL2yG2FP07pbkyz1mqmEIH7Nv.jpeg)
Simplify the expression: 9(7b+6)
Im stupid so-
Answers
Answer:
63b + 54
Step-by-step explanation:
Multiply The 9 by the 7 in the parenthesis, then, multiply the 9 by the 6 in the parenthesis.
Un-Simplified: 9(7b + 6)
Simplified: 63b + 54
Remember to include the "letter" in any equation that is like this, for it is a coefficient.
A die is being rolled. Find the probability of rolling less than a 3.
Answers
Answer: 2/6
Step-by-step explanation:
Probability is nothing but the
number of favourable outcomes / number of total outcomes
The graph of y = f(x) is graphed below. What is the end behavior of f(x)?
12
10
8
6
4
-10
B
-6
-4
2
4
6
8
10
-2
-4
-6
-8
-10
-12
Answers
Answer:
its 12 because its 23 then 34 then i dont know
Step-by-step explanation:
they look like school
-4x + 3y + 2x = what does this equal?
Answers
If a city population of 10,000 experiences 100 births, 40 deaths, 10 immigrants, and 30 emigrants in the course of a year, what is its net annual percentage growth rate?0.4%0.8%1.0%4.0%8.0%
Answers
The net annual percentage growth rate of the city population is 0.4%
To calculate the net annual percentage growth rate of a population, we can use the following formula:
Net Annual Percentage Growth Rate = ((Births + Immigrants) - (Deaths + Emigrants)) / Initial Population x 100%
Plugging in the given values, we get:
Net Annual Percentage Growth Rate =\(((100 + 10) - (40 + 30)) / 10,000 x 100%\)
Net Annual Percentage Growth Rate = \((40 / 10,000) x 100%\)
Net Annual Percentage Growth Rate =\(0.4%\)
The net annual percentage growth rate of the city population is 0.4%
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A survey was conducted to investigate whether alcohol consumption and smoking are related. In a random
sample of 300 smokers, 196 said they had consumed alcohol at least once in the past week. In an
independent random sample of 300 non-smokers, 159 said they had consumed alcohol in the past week. If
P, is the proportion of smokers in the population who have had a drink in the past week and P is the
corresponding proportion of non-smokers, then a test of the hypotheses H, P, -P-0 against the two-sided alternative produces a test statistic of z=3.07 and a P-value of 0.002. If we had instead analyzed these results with a chi-square test of homogeneity, which of the following would be the test statistic and P-value?
a-942, P-value = 0.002
b. -942, P-value-0.004
-3.07, P-value - 0.004
d. -1.75, P-value = 0.002
e-1.75, P-value=0.004
Answers
e) The test statistic and P-value for the chi-square test of homogeneity would be -1.75 and 0.004, respectively.
A chi-square test of homogeneity is a useful tool for comparing two or more categorical variables. In this case, the two variables are smoking (smokers and non-smokers) and alcohol consumption (those who had consumed alcohol in the past week and those who hadn't).
The chi-square statistic is calculated by finding the difference between the observed and expected frequencies of the two groups and squaring it. The expected frequencies are found by multiplying the sample size by the overall probability of success (in this case, drinking alcohol).
The P-value is then calculated based on the chi-square statistic and the degrees of freedom (in this case, one). In this case, the chi-square statistic is -1.75 and the P-value is 0.004.
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What is the sequence of transformations that maps ABC to A’B’C’
Step 1:
A. Reflect across the line Y=X
B. Reflect across the x-axis
C. Rotate 90° clockwise about the origin.
D. Rotate 180° about the origin
Step 2:
A. Translate 6 units up
B. Translate 5 units up
C. Reflect across the line y=x
D. Reflect across the x-axis
Answers
Answer:
Yes, reflecting a shape across the x-axis and then rotating it 90° clockwise about the origin gives the same results as reflecting it
Step-by-step explanation:
Answer: step 1 = C step 2 = A
Step-by-step explanation: 190 abc 123
Find the nth term for 3,8,13,18
Answers
Answer:
5n - 2
Step-by-step explanation:
3 + x = 8
8 - 3 = 5
5 = x
3 (first term) - 5 = -2
5n - 2
Answer:
nth term = 5n - 2
Step-by-step explanation:
The given sequence is 3, 8, 13, 18.
To find the nth term, we have to find the algebraic expression.
Algebraic expression = dn + b'd' means the common difference which can be found by subtracting one term with its previous term. 'b' is the difference between the first term and the com - mon difference.So, d = 8 - 3
d = 5
b = first term - common difference
b = 3 - 5
b = (-2)
Algebraic expression or the nth term =
5n + (-2)
5n - 2.
Thus, the nth term equals to 5n-2!
A study of child care enrolled 1364 infants and followed them through their sixth year in school. Later, the researchers published an article in which they stated that "the more time children spent in child care from birth to age four-and-a-half, the more adults tended to rate them, both at age four-and-a-half and at kindergarten, as less likely to get along with others, as more assertive, as disobedient, and as aggressive." $^{31}$ (a) Is this an observational study or an experiment? Justify your answer. (b) What are the explanatory and response variables? (c) Does this study show that child care causes children to be more aggressive? Explain.
Answers
(a) Is this an observational study or an experiment?
ans=Observational study – no treatment was imposed
(b) What are the explanatory and response variables?
ans=explanatory – time spent in child care from birth to age 4 response – adult rating of children’s behavior
d) Does this study show that child care causes children to be more aggressive? Explain.
No. Observational studies cannot show cause-and-effect
Researchers=someone whose job is to study a subject carefully, especially in order to discover new information or understand the subject better: She is a leading researcher in the field.
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(wrong answers) 1 + 1 I will give u brainlets, i d k what it is called hehe
Answers
Answer:
If you want me to give you a WRONG answer, then -1.
What is tan K?
please show your work
