what are the approximate solutions rounded to the nearest tenth?
ANSWER
x = 2.9, y = -1.6 and x = -1.7, y = 6.7
EXPLANATION
We are given two equations:
\(\begin{gathered} 1.8x\text{ + y = 3.6} \\ y=x^2\text{ - 3x - 1} \end{gathered}\)From the first equation, we have:
y = 3.6 - 1.8x
Put that in the second, we have:
\(\begin{gathered} 3.6-1.8x=x^2\text{ - 3x - 1} \\ \text{Collect like terms:} \\ x^2\text{ - 3x - 1 - 3.6 + 1.8x = 0} \\ x^2-\text{ 1.2x - 4.6 = 0} \\ U\sin g\text{ quadratic formula:} \\ x\text{ = }\frac{-b\text{ }\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{where a = 1, b = -1.2, c = -4.6} \\ \Rightarrow\text{ x = }\frac{1.2\text{ }\pm\sqrt[]{(-1.2)^2\text{ - 4(1)(-4.6)}}}{2}\text{ = }\frac{1.2\text{ }\pm\sqrt[]{1.44\text{ + 18.4}}}{2} \\ x\text{ = }\frac{1.2\text{ }\pm\text{ }\sqrt[]{19.84}}{2}\text{ } \\ x\text{ = }\frac{1.2\text{ +4.5}}{2}\text{ and x = }\frac{1.2\text{ - 4.5}}{2} \\ x\text{ = }\frac{5.7}{2}\text{ and x = }\frac{-3.3}{2} \\ x\text{ }\cong2.9\text{ and -1.7} \end{gathered}\)Put each of those values of x in the first equation:
y = 3.6 - 1.8(2.9) and y = 3.6 - 1.8(-1.7)
y = 3.6 - 5.22 and y = 3.6 + 3.06
y = -1.6 and y = 6.7 (approximately to the nearest tenth)
Therefore, the solutions are:
x = 2.9, -1.6 and x = -1.7, y = 6.7
how many inches is 2 1/6 ft
Answer:
26 inches
Step-by-step explanation:
Help
You have just been hired as New York’s premier Real Estate Agent! In your company, you will make a 7% commission. The real estate market in New York is booming! As the realtor calculates your potential commission if you sell the property for the list price.
If the listing price for Candy Cane Creek is $864, 550, how much commission would you receive?
Answer: $60,518.50
Step-by-step explanation:
864,500 x 0.07
Answer:
he received commission amount =7% of $778,095=$54466.65
Step-by-step explanation:
commission =7%
marked price=$778,095
commission amount =7% of $778,095=$54466.65
In the formula A = 1/2 bh, solve for b when A = 416 and h = 32.
ANSWER
My answer is in the photo above
1 divided 5/12=-3/10
Answer:
t = - 1/8
Step-by-step explanation:
t ÷ 5/12 = - 3/10
t × 12 ÷ 5 = - 3/10
12t/5 = - 3/10
12t × 10 = -3 × 5
120t = - 15
t = - 15/120
t = - 1/8
Thus, t divided 5/12 = - 3/10 => -1/8
-TheUnknownScientist
What is the value of ∣∣−89∣∣? A. −98 B. −89 C. 89 D. 98
●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
Rewrite the following equation in slope intercept form 8x - 2y = -15Write your answer using integers, proper fractions, and improper fractions in simplest form.
The given equation is
\(8x-2y=-15\)To express it in slope-intercept form, we have to solve the equation for y.
\(\begin{gathered} -2y=-15-8x \\ 2y=15+8x \\ y=\frac{8x+15}{2} \\ y=4x+\frac{15}{2} \end{gathered}\)Hence, the equation in slope-intercept form is\(y=4x+\frac{15}{2}\)In a Northwest Washington County, speeding fines are determined by the formula:F = 8(s-60) + 40where F is the cost, in dollars, of the fine is a person caught driving at a speed of s miles per hour. If a fine comes to $192, how fast was the person speeding?Answer: The person's speed was _____ miles per hour.
Given the formula:
\(F=8\mleft(s-60\mright)+40\)where F is the cost, in dollars, of the fine is a person caught driving at a speed of ( s )miles per hour
When F = $192, we will solve the formula to find s
so,
\(\begin{gathered} 192=8\mleft(s-60\mright)+40 \\ 192-40=8(s-60) \\ 152=8(s-60) \\ \frac{152}{8}=s-60 \\ \\ 19=s-60 \\ 19+60=s \\ s=79 \end{gathered}\)So, the answer will be:
The person's speed was 79 miles per hour.
find the surface area
Answer:
225 cm 2
Step-by-step explanation:
Answer:
Surface Area = 6* (5 inches) 2 = 6* (25 square inches)
Step-by-step explanation:
If every 1 in 20 plants will not bear fruit. If 200 plants are planted, how many will produce fruit?
Answer:
Step-by-step explanation:
If 1 /20 will not bear fruit then
19/20. Will bear fruit
use ratio method
19/20 = x/200
find x by finding an equivalent fraction
x = 190
190 plants will produce fruit
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
BONUS QUESTIONS 1. The number of books featured at the local library is shown below: MYSTERY BOOKS: 32 NOVELS: 16 NON-FICTION BOOKS: 12 The library is hosting a book fair that features the mystery books. All the authors discuss the same number of mystery books and each will discuss more than 1 book. How many authors could be featured in the show?
Answer:
I don't get the question
Step-by-step explanation:
Given the following figures, determine if each transformation preserves angle measure. Segment length or both.
First figure:
In the first figure, the figure is reflected over the x-axis. In this case, just the position changes, the length of the sides and the angles do not. So in the first figure, the correct option is: Preserve both angle measure and segment length.
Second figure:
Reflection over the x-axis and then over the y-axis. Reflections don't change length of sides or angles. So the correct option is: Preserve both angle measure and segment length.
Third figure:
The figure is dilated, which makes the lengths of sides smaller. The measure of the angles, however, don't change in a dilation. So the correct option is: Preserves only angle measure.
Fourth figure:
The figure was moved, preserving the sides and angles. So the correct option is: Preserve both angle measure and segment length.
I.
What similarity condition would you use to prove that the triangles
are similar?
H
68
87
25
E
870
AA~
SAS
SSS-
Answer:
AA
Step-by-step explanation:
Simplify the following: (b^4)^6 (b to the fourth all to the sixth power)
Haii confused on one question and I was wondering if I could get some help
So,
The problem states that a negative change represents when She climbs down. As you can see, all starting elevations are -200 feet.
Then,
Let's analyze row A.
If the starting elevation was -200 and she climbs 150 ft down, that means that we're going to substract. So, the final elevation is:
\(-200-150=-350\)That's the mistake that I indetified.
The rest of the table is correct :). Well done!
Alright. So,
For part B, we're asked to find an equation that represents the values in the table for rows C and D, and then draw the situation.
Let's start with row C:
The starting elevation was -200ft. Given that she climbs 200ft up, the equation that represents her final position can be found only adding 200ft up:
\(-200ft+200ft=0ft\)In the number line, this is:
A similar situation occurs with row D:
Finally, the expression:
\(-75+100=25\)Tells us that the spelunker is situated at an initial elevation of -75ft. Then, she climbs up 100 ft, to obtain 25ft, which is her final elevation.
On the number line, this is:
1.
4.ft.
6 ft
5 ft
4 ft
Answer: And the 4 ft 5 ft 6 ft 4 ft
Step-by-step explanation:
Answer:
Your answer will be 4ft. Please give brainlest
Step-by-step explanation:
Suppose the travel time between two major cities A and B by air is 6 or 7 hr if the flight is nonstop; however, if there is one stop, the travel time would be 9, 10, or 11 hr. A nonstop flight between A and B would cost $1200, whereas with one stop the cost is only $550. Then between cities B and C, all flights are nonstop requiring 2 or 3 hours at a cost of $300.
The sample space of his travel times from A to C to be [8,9,10,11,12,13,14] and the sample space of his travel cost from A to C to be [850,1500].
Required:
If T=travel time from city A to city C, and S=cost of travel from A to C, what is the sample space of T and S?
Using it's concept, it is found that the sample space of T and S is:
{{8, [850-1500]}, {9, [850-1500]}, {10, [850-1500]}, {11, [850-1500]}, {12, [850-1500]}, {13, [850-1500]}, {14, [850-1500]}}
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
The sample space of T is: [8,9,10,11,12,13,14]The sample space of S is: [850,1500].Considering that for each time, the cost will be between $850 and $1500, the sample space for T and S is:
{{8, [850-1500]}, {9, [850-1500]}, {10, [850-1500]}, {11, [850-1500]}, {12, [850-1500]}, {13, [850-1500]}, {14, [850-1500]}}
You can learn more about sample space at https://brainly.com/question/25861936
2 Blood sugar levels are normally distributed with a mean of 100 milligrams per deciliter and a standard deviation of 10 milligrams per deciliter. Sam's blood sugar is 85 milligrams per deciliter. What is his Z-score? * (2 Points) O 1.5 0 -1.5 O 15 010
find each quotient using long division 676 ÷ 13 (need the full thing fast lol)
Answer:
Step-by-step explanation:
Ok then "cracks knuckles" heres an image of the division! hope it helps.
Find the present value of an annuity which pays ` 200 at the end of each 3 months for 10 years assuming
money to be worth 5% converted quarterly?
(a) ` 3473.86
(b) ` 3108.60
(c) ` 6265.38
(d) None of thes
The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.
To find the present value of an annuity, we can use the formula:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.
Plugging in these values into the formula, we get:
PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05
Simplifying the equation, we find:
PV ≈ 200 * (1 - 0.12198) / 0.05
PV ≈ 200 * 0.87802 / 0.05
PV ≈ 35160.4 / 0.05
PV ≈ 7032.08
Therefore, the present value of the annuity is approximately `7032.08.
None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.
For more such questions on annuity
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help me plzz i beg you plzz i appreciate the help
Answer:
B? - Hopes it helps
Step-by-step explanation:
Happy early valentines Day! - p.s mark me brainly and another bessing comes ur way!
-3x2 + 2xy - y3 for x = 5 and y=-1
Answer:
-13
Step-by-step explanation:
Hope this helped you!
After you reviewed the six steps with Paula, she asked for an example of how to define the decision situation as she decides whether Gingerforge should start manufacturing patio furniture. Which of the following is the correct example to give to Paula?
Paula would articulate the specific environmental stimulus the company needs to respond to: the entry of a competitor into the patio furniture market.
The correct answer is option D: Paula would articulate the specific environmental stimulus the company needs to respond to: the entry of a competitor into the patio furniture market.
What is hypothesis?A hypothesis in mathematics is an untested claim that is backed up by all the information that is known as well as numerous weaker findings. A mathematical assertion that has not been proven is typically referred to as a "conjecture," and while testing occasionally yields millions of examples to support a conjecture, typically only a proof can persuade specialists in the subject. Yet, a conjecture gets promoted to a hypothesis when it is supported by all the available data as well as multiple weaker outcomes. The Riemann hypothesis, which has been the subject of numerous efforts at proof, is the most well-known conjecture in mathematics.
Hence, Paula would articulate the specific environmental stimulus the company needs to respond to: the entry of a competitor into the patio furniture market is true.
Learn more about hypothesis here:
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which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
MACY AND BRIANNA ATE DINNER ATA RESTAURANT. THEIR MEAL COST 19.50. THEY LEFT A 15% TIP. CALCULATE THE TIP AND TOTAL COST FOR THEIR MEAL.
Answer:
Tip = 2.925 or about 2.93
Meal = 19.50
Total amount paid = 22.425 or about 22.43
Step-by-step explanation:
15% of 19.50 = 2.925
The amount for the meal is already given which is $19.50
Ace
Answer:
46.69
Step-by-step explanation:
40.60 • 15%=6.09
6.09 • 40.69= 46.69
If Sam has 3/4 pints of cleaner left and is able to clean 2/3 of her boat, how many pints are needed to clean an entire boat?
Answer choices-
6/12pint
8/9pint
1 and 1/8 pints
2 pints
Answer:
1 and 1/8 pints
Step-by-step explanation:
3/4 pints of cleaner = 2/3 boat
3/4 c = 2/3 b
solve for b (boat)
9/4 c = 2 b
9/8 c = b
1 1/8 c = b
What’s the answer to the questions below? Plsss help
According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.
How to identify parallel lines?To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:
ADCFOn the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.
Learn more about lines at: https://brainly.com/question/30003330
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Fill in the blanks to complete the rule
uh i could never, sorry