Answers
Answer:
[tex] x = \dfrac{-1 \pm \sqrt{11}}{2} [/tex]
Step-by-step explanation:
(2x - 3)² - 14 = 2x(x - 7)
4x² - 12x + 9 - 14 = 2x² - 14x
2x² + 2x - 5 = 0
[tex] x = \dfrac{-2 \pm \sqrt{2^2 - 4(2)(-5)}}{2(2)} [/tex]
[tex] x = \dfrac{-2 \pm \sqrt{4 + 40}}{4} [/tex]
[tex] x = \dfrac{-2 \pm 2\sqrt{11}}{4} [/tex]
[tex] x = \dfrac{-1 \pm \sqrt{11}}{2} [/tex]
Related Questions
Maria, age 28, wants to pay no more than $300 a year in life insurance. what is the face value of the largest 20-year term policy she can buy without spending more than $300 annually? annual life insurance premium (per 1,000 dollars of face value) for age 28. a 10-year term for female is 1.28, 15 year term for female is 1.54, 20 year term for female is 1.89, and whole life for female is 9.46. a. $234,000 b. $158,000 c. $11,000 d. $567,000
Answers
The face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.
What is face value?Face is the term used in finance, is used for the amount which has to be paid to the policyholder at the time of maturity.
Maria, age 28, wants to pay no more than $300 a year in life insurance.
The period for this policy is 20-year term.
Annual life insurance premium (per 1,000 dollars of face value) for age 28.
A 10-year term for female is 1.28, A 15 year term for female is 1.54, A 20 year term for female is 1.89, A whole life for female is 9.46.For the 20 year term for female is 1.89 and annular premium is $300. Thus, the face value is,
[tex]\rm Face \; Value=\dfrac{300}{1.89}\times1000\\\rm Face \; Value\approx158000[/tex]
Thus, the face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.
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Answer: B
on edge
Step-by-step explanation:
The coordinates of the vertices of a polygon are (1, 2), (1, -1), (-6, -1) and (-6,2). What is the perimeter of the polygon
Answers
Check the picture below.
26% of 42 is what number
Answers
Answer:
10.92
Step-by-step explanation:
26% is equivalent to 0.26 (% is in terms of 100, so if you divide the percent by 100, you gte the decimal form)
You just multiply the decimal form by the number and your result is the answer
0.26x42=10.92
Determine if \sqrt{41}
41
is rational or irrational and give a reason for your answer.
Answers
Assume √41 is rational, so that there exist integers p, q such that
[tex]\sqrt{41} = \dfrac pq[/tex]
and p/q is irreducible. Taking squares, this would mean
[tex]41 = \dfrac{p^2}{q^2} \implies p^2 = 41q^2[/tex]
This tells us that 41 is a factor of p², which in turn means 41 is a factor of p because 41 is prime. We can consequently write p = 41n for some integer n. But then
[tex]p^2 = (41n)^2=41q^2 \implies 41n^2 = q^2[/tex]
which says 41 also divides q² and hence divides q as well. In other words, p/q is reducible, so we have a contradiction.
D
Question 6
11 pts
Use the previously created equation to solve for the verbal description (give your
answer to the nearest cent and include commas and decimal points). For example,
12,345,67
The value of a car purchased for $20,000 decreases at a rate of 12% per year. What
will be the value of the car after 3 years?
Question 7
79°F
Answers
What is the volume of this sphere?
Question 13 options:
36πcm3
12πcm3
864πcm3
288πcm3
Answers
288π cm³
================
volume of sphere: 4/3 * π * radius³
⇒ 4/3 * π * (6)³
⇒ 4/3 * 216 * π
⇒ 288π
It takes you 1/4 hours to walk 1/3 of a mile.
How long will it take you to walk 2 1/2? Miles?
PLS HELP ASAP
Answers
Answer:
15/8 Hours
Step-by-step explanation:
To start, I would find see how long it takes to walk a mile.
1/3 · 3 = 1
1/4 · 3 = 3/4
So we now know that walking one mile takes 45 minutes. Next, I multiplied 1 mile by 2.5 and repeated the same process with the time.
3/4 · 5/2 = 15/8
Therefore, it takes 15/8 hours to walk 2.5 miles.
Of the hats in Tammy's Hat Shop, 3/8 are green and another 1/4 are blue. What fraction of the hats are either green or blue?
Answers
Answer:
5/8
Step-by-step explanation:
Since it’s either, that is essentially saying ‘or’Because of this we add the fractions togetherThis gives [tex]\frac{3}{8} +\frac{1}{4}[/tex]Find a common denominator1/4 = 2/83/8 + 2/8 = 5/8Hunter earned a grade of 66% on his multiple choice math final that had a total of 200 problems. How many problems on the final exam did Hunter get wrong?
Answers
There are 68 problems on the final exam did Hunter get wrong.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Hunter earned a grade of 66% on his multiple choice math final that had a total of 200 problems.
Now,
Since, Hunter earned a grade of 66% on his multiple choice math final that had a total of 200 problems.
Hence, The correct problem = 66% of 200
= 66/100 x 200
= 66 x 2
= 132
Thus, The incorrect question = 200 - 132
= 68
Therefore, There are 68 problems on the final exam did Hunter get wrong.
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28.2
с
45.8
В
о
mzB =
Answers
Answer:
17.6
I hope this helps :)
14. Solve the equation using the Zero Product Property
(2x-4) (2x-1)=0
A. 2, -1/2
B. 2,1/2
C.-2, 2
D. -2,1/2
16. A community group is planning the expansion of a square flower garden in a city park. If each side of the original garden is increased by 3 meters, the new total area of the garden will be 225 square meters. Find the length of each side of the original garden.
A. 15m
B. 3m
C. 12m
D. √12m
Answers
Answer:
14) D; 16) C.
Step-by-step explanation:
14) the given equation can be written (x-2)(x-1/2)=0;
D. -2; 1/2.
16. if the original length is 'x', then it is possible to make up the equation of area:
(x+3)²=225; ⇒ x=12;-18; x=12 [m], the C option.
Select all the expressions that equal 4×106.
(2×108)(2×10-2)
40×105
40 6
400,000
1. 2×1093×102
Answers
Answer:
None of the expressions are equal to 4*106
Step-by-step explanation:
(2×108)(2×10-2) does not equal 4*106
40×105 does not equal 4*106
40 6 does not equal 4*106
400,000 does not equal 4*106
2×1093×102 does not equal 4*106
PLEASE HELP ASAP! WILL GOVE BRAINLIEST!!! I NEED THIS DONE PLEASE FOLLOW DIRECTIONS!
Answers
Answer:
I'm not sure but
Step-by-step explanation: The area is 9.5 feet.
The more people living in an area, the more likely it is that public buses will be used. city a has a population of 51,242 and covers an area of 89.22 mi2. city b has a population of 50,178 and covers an area of 8.12 mi2. which statement about use of public buses in the cities is most likely true? the residents of city a are more likely to use public buses because their city has a greater population density. the residents of city b are more likely to use public buses because their city has a greater population density. the residents of both cities are equally likely to use public buses because both population densities are about the same. the residents of both cities are unlikely to use public buses because both population densities are too high.
Answers
The population density of city-B is greater, so, the public bus must be used for city-B.
What is the population density?Population density (in agriculture: standing stock and standing crop) is a measurement of population per unit area.
The total population of city A= 51,242
The total area of city A =89.22 mi^2
The population density of city A is given by;
[tex]\rm Population \ density=\dfrac{Total \ population }{Total \ Area}\\\\ Population \ density=\dfrac{51,242}{89.22}\\\\ Population\ density=574.3331[/tex]
The total population of city B = 50178
The total area of city B =8.12 mi^2
The population density of city B is given by;
[tex]\rm Population \ density=\dfrac{Total \ population }{Total \ Area}\\\\Population \ density=\dfrac{50178}{8.12}\\\\Population \ density=6179.55665[/tex]
Hence, the population density of city-B is greater, so, the public bus must be used for city-B.
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Answer:
b is the answer
Step-by-step explanation:
Which of the following is the equation of a line in slope-intercept form for a
line with slope = { and y-intercept at (0.-2)?
y
O A. y=-x-2
ОВ
O B. y=x-2
{
O C. y=-x+
OD. y=-2x
2
SUBMIT
Answers
Answer:
Option B is the correct answer
Step-by-step explanation:
Hope it helps you in your learning process.
Help please! Put a step-by-step explanation.
No links.
Answers
Answer:
70 degrees
Step-by-step explanation:
Angles directly opposite are equal
The length of the base of a triangle is four more than twice the height. the area of the triangle is 80 m^2. find the lengths of the base and the height of the triangle.
can someone help me out with this? none of my friends understand this question either.
Answers
Find the MAD for this data set
Answers
Answer:
O.8 is the answer
Step-by-step explanation:
How many Cube Bs will fit into Cube A? Enter the max amount.
Answers
Answer:
8
Step-by-step explanation:
The answer is 8 because 1/2 times 1/2 times 1/2 is 1/8, which means that 8 B cubes can fit into cube A.
What is the value of 0.23? Enter your answer in the box.
Answers
0.2 * 0.2 * 0.2 = 0.008
Your final answer should be 0.008
Jaime has a board that is 8 feet long. He cuts the board into three equal pieces. How long is each piece.
SHOW WORK PRETTY PLEASE WITH SUGARCANE JUICE!!!
Answers
Each piece is 2 ft and 8 inches long.
Explanation:
12 inches are in a foot, so 12 times 8 equals 96.You then divide 96 by 3 which is 32.So 32 inches is 12in+12in+8in= 2feet 8 inches
The book fair is selling erasers for $0.17 each. If Brandon spent a total of $2.21 on erasers, how many erasers did he purchase?
Answers
Answer
The answer is 13
Step-by-step explanation:
I divided 2.21 by 0.17
Answer:
13 Erasers
Step-by-step explanation:
2.21 ⁒ 0.17 = 13
Hope this helps :)
Grayson asked 50 people how many times they exercise per week. The curcle graph shows the responses and the percentages of people who gave each response hos many of the people surveyed exercise once a week or less
Answers
There were 8 people who surveyed exercise once a week or less out of the 50 people who were surveyed.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the circle graph, percentage of the people surveyed exercise once a week or less = 100% - (10% + 40% + 20% + 14%) = 16%
Number of the people surveyed exercise once a week or less = 15% of 50 = 0.16 * 50 = 8
There were 8 people who surveyed exercise once a week or less
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Elias tossed a ball into the air. The following table represents the ball's height with respect to time, where y represents the ball's height, in feet, and x represents number of seconds after the ball was tossed.
Answers
The table is an illustration of a quadratic function, and the range of Ella's table is 0 ≤ y ≤ 9
How to determine the range?From the complete question, we have the following highlights:
The minimum output value is 0, and the maximum output value is 9
This means that the range of the table is 0 to 9
Express properly as:
0 ≤ y ≤ 9
Hence, the range of Ella's table is 0 ≤ y ≤ 9
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Help!! The angle measurements in the diagram are represented by the following expressions.
∠
A
=
5
x
+
3
4
∘
∠A=5x+34
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 5, x, plus, 34, degrees, end color #11accd
∠
B
=
2
x
+
7
6
∘
∠B=2x+76
∘
Answers
Answer:
[tex]\boxed{\bf \angle A=84^o}[/tex]
Step-by-step explanation:
From the given diagram, we can see that ∠B & ∠C are corresponding angles, which means that they are equal. The two angles that form a straight line are supplementary angles (the sum of two supplementary angles is 180°).
[tex]\bf 5x+34^o+\angle C=180^o[/tex]
[tex]\bf 5x+34^o+\angle B=180^o[/tex]
[tex]\bf 5x+34^o+2x+76^o=180^o[/tex]
Now, let's solve for x :-
[tex]\bf (5x+34^o)+(2x+76^o)=180^o[/tex]
[tex]\bf (5x+2x)+(34+76)=180^o[/tex]
[tex]\bf 7x+110=180^o[/tex]
[tex]\bf (7x+110)-110^o=180-110^o[/tex]
[tex]\bf 7x=70^o[/tex]
[tex]\bf \cfrac{7x}{7} =\cfrac{70}{7}[/tex]
[tex]\boxed{\bf x=10^o}[/tex]
Now, in order to find ∠A will substitute the value of x into the expression:-[tex]\bf \angle A=5x+34^o[/tex]
[tex]\bf \angle A=5(10)+34^o[/tex]
[tex]\bf \angle A=84^o[/tex]
______________________
Sixteen and eight hundred fifty-two thousandths written in standard form
Answers
Answer:
16.852
Step-by-step explanation:
Writing the worded terms
Sixteen = 16Eight hundred fifty two thousandths = 852 x 10⁻³ = 0.852Standard form
16 + 0.85216.852What is the value of x in the equation −6 + x = −3? (5 points) Group of answer choices −9 −3 9 3
Answers
Answer:
The value of x is 3
Step-by-step explanation:
=> −6 + x = −3
=> x = -3+6
=> x = 3
So first you add the 6 to both sides
-6 + x = -3
+6 +6
The 6 will cancel
So your answer is
x= 3
(6x1000)+(1x10)+(8x1/1)+(9x1/10)+(4/100)=
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \tt \dashrightarrow \:(6 \times 1000) + (1 \times 10) + (8 \times \frac{1}{1} ) + (9 \times \frac{1}{10} ) + \frac{4}{100} [/tex]
[tex]\qquad \tt \dashrightarrow \:6000 + 10 + 8 + \frac{9}{10} + \frac{4}{100} [/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{600000 + 1000 + 800 + 90 + 4}{100} [/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{601894}{100} [/tex]
or
[tex]\qquad \tt \dashrightarrow \:{6018.94}{} [/tex]
A quadratic equation of the form 0=ax2 bx c has a discriminant value of -16. how many real number solutions does the equation have?
Answers
The quadratic equation will have no real solutions.
Given quadratic equation is: [tex]ax^{2} +bx+c=0[/tex]
What is the discriminant of a quadratic equation?The discriminant(D) of a quadratic equation is [tex]D=b^{2}-4ac[/tex]. It depicts the nature of the roots.
[tex]D > 0[/tex] the roots are real and distinct.
[tex]D=0[/tex] the roots are real and equal.
[tex]D < 0[/tex] the roots will be imaginary.
We have [tex]D=-16[/tex] which is negative.
So, the roots will be imaginary.
So, the given quadratic equation will have no real solutions.
Hence, the given quadratic equation has no real solutions.
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What specific measure of a geometric figure is shown in the image?
Answers
Answer:
A 140 degree angle. Think about where 90 degree angle is, where 180 degree angle is, and recognize that 140 degree angle is in between those. Also, when it's saying side length, it's just saying how long the line itself is;)
Step-by-step explanation:
Answer:
A 140° angle
Step-by-step explanation:
It can be seen that the angle between 2 rays is being measured. Conveyor scale indicates 140° angle.
Hope this helps