Happy Holidays! =)
[tex]\large\boxed{x = -\frac{5}{2} \text{ and } 1}}[/tex]
4x² + 6x = 10
Move 10 to the other side so we can factor the trinomial:
4x² + 6x - 10 = 0
Factor the GCF, or 2 out of the equation:
2(2x² + 3x - 5) = 0
Factor the terms inside of the parenthesis:
2(2x + 5)(x - 1) = 0
Disregard the coefficient of 2 and set each factor equal to 0:
2x + 5 = 0
2x = -5
x = -5/2
x - 1 = 0
x = 1
The values of x are -5/2 and 1.
Harold can buy 2 pounds of bananas for $7. Write an equation to represent the cost, c , for b bananas.
The equation representing the situation is c = 3.5b
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Harold can buy 2 pounds of bananas for $7.
Since, he can buy 2 pounds in $7 so, 1 pound in = 7/2 = $3.5
So, when he will buy b pounds of bananas he will spend = $3.5b
So, if c is the total cost for b pounds of bananas, then the equation representing the total cost for b pounds of bananas will be,
c = 3.5b
Hence, c = 3.5b is the equation that represent the cost, c, for b bananas.
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The Star television costs $750 more than the Jupiter television. The two models cost $2,600 all together. Sandra writes an equation to find the cost of the two models. If c represents the cost of the Jupiter television, which of the following would be true when verifying the solution of the equation? Check all that apply. Sandra substitutes c = 925 into the equation c + (c + 750) = 2,600. Sandra substitutes c = 925 into the equation c + (c minus 750) = 2,600. Sandra finds a true statement after substituting 925 into the equation. Sandra finds a false statement after substituting 925 into the equation. When Sandra evaluates the equation with c = 925, she subtracts 750 from 925. Then, she adds that sum to 925. She finds that the value is not equal to 2,600. When Sandra evaluates the equation with c = 925, she adds 925 to 750. Then, she adds that sum to 925. She finds that the value is 2,600.
Answer:
A. Sandra substitutes c = 925 into the equation c + (c + 750) = 2,600.
C. Sandra finds a true statement after substituting 925 into the equation.
F. When Sandra evaluates the equation with c = 925, she adds 925 to 750. Then, she adds that sum to 925. She finds that the value is 2,600.
Step-by-step explanation:
select the first one, then the 3rd one, then the 6th one <3
Help please, will mark brainliest.
Step-by-step explanation:
y = -2x² + 9x - 11 (2 complex solutions)
y = 3x² - 6x + 3 (1 distinct real solution)
y = -x² - 4x + 7 (2 real solutions)
umm help?
310−−√
30√10
3√5
3√10
15√5
44−−√
222−−√
440−−√
211−−√
411−−√
192−−−√
824−−√
83√
643√
106√
Step-by-step explanation:
idek what u mean so can u explain or a pic
Jane said that 6(64) = 6(50) + 6(14). Is she correct? Use the Distributive Property to explain your answer.
Answer:
Yes.
Step-by-step explanation:
6(64) = 6(50+14)
Using the Distributive Property, 6 needs to be multiplied by both 50 and 14.
6(50+14) = 6(50) + 6(14)
Thus, Jane is correct.
$9.39 with a 3.5% tax. What is the subtotal plus the tax? With a tip of 20% what is the total wit tax plus the 20% tip equal to?
Answer:
a. $9.72
b. $11.60
Step-by-step explanation:
$9.39*(1+(3.5/100)) = $9.72
$9.39*(20/100) = $1.88
$9.72+$1.88 = $11.60
Help? How to solve step by step?
Answer: (x+2)^2/x+2
= x+2 * x+2 / x+2
= x+2
Hope it helped u,
pls mark as the brainliest
^_^
Ziad tells his son Marc: " This year my age is triple yours, but in 10 years, it will be the double". Find their ages.
Answer:
Ziad is 30 years old.
Marc is 10 years old.
Step-by-step explanation:
We will use m to represent Marc's age this year, and z to represent Ziad's age this year.
This year:
z = 3m
To show their relative ages in ten years time:
z + 10 = 2(m+10)
We can rearrange this to make m the subject.
z + 10 = 2m + 20
z = 2m + 10
We also know that m = 3z. We can substitute this value into our equation.
3m = 2m + 10
m = 10
Use z = 3m to find that z = 30.
Because of road construction in one city, commuters were advised to plan that their Monday morning commute would take 150% of their usual commuting time. Explain what this means.
Answer:
Kindly check explanation
Step-by-step explanation:
Let :
Original commute time = x
Commute time due to road construction = 150% of original commute time
Hence, commute time due to road construction :
(150 / 100) * x
0.15x
Hence, the implication of the road construction in progress means that it will now take additional half of the usual time it takes them on a Monday morning.
For instance, an individual whose usu commute time is 10 minutes in the morning will now take :
1.5x = 1.5(10) = 15 minutes commute time on a Monday morning.
WORTH ALOT OF POINTS PLEASE SHOW WORK!!!!
Write four sets of values that represent y = 4Xin the table below.
Answer:
Step-by-step explanation:
y = 4 * x
you can replace y and x with any values, but it has to be correct. you can say 15 = 4 * 3, but that isn't correct. but you can say 16 = 4 *4
The value of the equation is y = 4x
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y = 4x be equation (1)
On simplifying the equation , we get
when x = 1
y = 4 ( 1 )
y = 4
when x = 2
y = 4 ( 2 )
y = 8
when x = 3
y = 4 ( 3 )
y = 12
when x = 4
y = 4 ( 4 )
y = 16
Therefore , the values of y are { 4 , 8 , 12 , 16 }
Hence , the equation is y = 4x
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If -1 is subtracted from 5, what will be the result?
greater than 4
equal to 4
positive, but less than 4
negative
Answer:
Greater than 4.
Step-by-step explanation:
the answer is 6, and 6 > 4.
Have a good day! God bless! :D
what’s the answer to
2(s-10)=12
Answer: s = 16
2(s - 10) = 12
distribute the 2
2s - 20 = 12
add 20 to both sides
2s = 32
divide both sides by 2
s = 16
you can then check your work by putting in the 16
2 (16-10) = 12
2 (6) = 12
12 = 12
Examine the triangles below. Solve for y.
Answer:
10 = y
Step-by-step explanation:
5 and 4 was in the first triangle, in the other triangle its 14 and y 14 is 10 times bigger than 4 so y is 10
Each unit on the graph is equal to 1 block. How many blocks does a delivery truck need to travel to deliver flour from the flour mill to the bakery? Select the correct answer.
A.
4 blocks
B.
5 blocks
C.
6 blocks
D.
7 blocks
The answer is C. 6 blocks.
Answer:
C. 6 blocks is correct. I took the test and got that right :)
Step-by-step explanation:
1. One factor is a two digit number between 1 and 10 2. One factor is a two digit number between 1 and 10 ( different from the first) 3. The product is greater than 8. But less than 10
Answer: 3.5 * 2.5 = 8.75
Step-by-step explanation:
The factors are to be less than 10 but are should be two digit numbers. The only way this is possible would be if they had decimals.
Which two numbers below 10 can give a product less than 10 but more than 8?
3 and 3 would give 9 which is the closest to our constraints.
Both numbers cannot be similar however and have to have a decimal but the factors should be around 3 but not up to 4 as this would pass the 10.
3.5 * 2.5 = 8.75 would work.
a baby was born with a weight of five pounds and then began to gain 1.25 pounds per month. write an equation for w in terms of t representing weight in pounds of a newborn baby t months after birth
Answer:
w times t
Step-by-step explanation:
Answer:
1.25t+5
Step-by-step explanation:
period
15 POINTS!!!
Solve the equation.
x over four – 5 = –8
A. –27
B. –12
C. –7
D. 12
x/4 - 5 = -8
=> x/4 = -8 + 5
=> x/4 = -3
=> x = -3 × 4
=> x = -12
So, answer is B. –12
the double of a number divided by 3 is less than 8
Answer:
-12
Step-by-step explanation:
× x 2 = 2x
2x/3= -8x3/2
x = -12
What is the percentage change ? 54 decreased to 32?
Answer:
21
Step-by-step explanation:
I NEED HELP ASAP, ILL MARK BRAINLIEST!!!
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y < 2x − 7
y is greater than or equal to negative 1 over 2 times x plus 3
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (3, −7) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
A: The line is a dotted line and the shaded part is on the right side of the line
B: Yes it is correct because if u put in the x value and the y value and calculate it the statement is true.
pOiNtS gIvE aWaY i DoNt HaVe MuCh BuT hErE yA gO
Answer:
Gracias generous mane •‿•
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
A bouncing ball reaches a height of 27 feet at its first peak 18 feet at its second peak and 12 feet at its third peak Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak
Answer: 8
Step-by-step explanation:
A Geometric sequence can be used:
To Model this sequence you need to use this formula
A (subscript n) = Ar(n-1)
a = value of the first term
n = the # of the term you want to find (For example, if you want to find the term number 3, it is 12)
r = the common ratio, this is obtained by dividing the second term in the sequence by the first.
So the value of r is = 2/3 because 27 times 2/3 = 18 which is the second term
n = 4 since you want to find the 4th term in the sequence
Plug it in and results are
4th term = 27(2/3)^(4-1) = 8
Sample Response:
There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
help help help help guys show your solution and answer the question
Answer:
1) I just simply added the numerators because the denominators of both fractions are equal. As the denominators are same , I simply wrote 6 by taking the L.C.M of both denominators.
4)
[tex] \frac{5x - 3}{6} + \frac{x - 9}{6} [/tex]
[tex] = > \frac{5x - 3 + x - 9}{6} [/tex]
[tex] = > \frac{6x - 12}{6} [/tex]
Taking 6 common from numerator,
[tex] = > \frac{6(x - 2)}{6} [/tex]
Cancelling 6 from both numerator & denominator,
[tex] = > x - 2[/tex]
the sum of 2 numbers is 49. Twice the smaller number is 97 less than 3 times the larger number. What are the numbers?
Answer:
let the larger and smaller number be x and y respectively
first condition
x + y = 49
second condition
3x = 2y+97
3x-2y =97
Multiplying first condition by two and adding both equations
2x + 2y = 98
3x -2y = 97
5x = 195
x = 195/5 = 39
putting the value of x in
x + y = 49
y = 49 -39 = 10
again
Step-by-step explanation:
The temperature in Tampa increased from 4 a.m. to 4 p.m. on one day in February. The table of values below represents temperature as a function of time.
Time
5:53 a.m.
6:53 a.m.
8:53 a.m.
11:53 a.m
3:53 p.m.
Temperature
(°F)
60.1
60.1
66.9
75.2
78.1
Over which interval was the average rate of change per hour the greatest?
Answer:
its b
Step-by-step explanation:
Time interval 6:53 a.m to 8:53 a.m, the average rate of change per hour the greatest.
Given,
Time Temperature (°F)
5:53 a.m. 60.1
6:53 a.m. 60.1
8:53 a.m. 66.9
11:53 a.m 75.2
3:53 p.m. 78.1
From 5:53 a.m. to 6:53 a.m. the temperature is constant. So average rate of change per hour is 0.
From 6:53 a.m to 8:53 a.m. the temperature is increasing from 60.1 to 66.9 or 6.8 in 2 hours . So average rate of change per hour is [tex]\frac{6.8}{2} =3.4[/tex].
From 8:53 a.m. to 11:53 a.m the temperature is again increasing from 66.9 to 75.2 or 8.3 in 3 hours. So average rate of change per hour is [tex]\frac{8.3}{3} =2.76[/tex].
From 11:53 a.m to 3:53 p.m. the temperature is again increasing from 75.2 to 78.1 or 2.9 in 4 hours. So average rate of change per hour is [tex]\frac{2.9}{4}=0.725[/tex].
Now clearly from the above points time interval 6:53 a.m to 8:53 a.m, the average rate of change per hour the greatest.
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THE GREATEST PRODUCT
You have sixty seconds to arrange the numbers 3.456
and 7 in the boxes below to get the largest productible
Each number may be used only once
Answer:
7*6543=45801
Step-by-step explanation:
We have the digits 34567 and must arrange them into a product with the largest possible value.
It's clear that we must place the largest digits to the left, so they represent larger numbers to multiply.
Let's try with:
7654*3=22962
765*43=32895
76*543=41268
7*6543=45801
This last combination definitely produces the largest product
Answer: 7*6543=45801
Given 264 feet of fencing, write an equation that can be used to calculate the area enclosed by
the fencing
What dimensions will maximize the area enclosed by the fencing?
Answer
(264/4)x66=4356 using a square
Step-by-step explanation:
each side will have 66 feet on fenecing adding up to 264 feet. A square is the most effiecnt shape to enclose and area.
what Is 0.0000724 in standard form
Answer:
7.24 * 10^-5
Step-by-step explanation:
3 tane sorum var 3 ü de 9.sınıf sorusu bu 3 sorusu cevaplayanı en iyi seçeceğim
1) Vitaminlerin özellikleri nelerdir?
2)Buldukları besinler nelerdir?
3)İnsanların beslenmesindeki önemi nedir?
Answer:
1.
Bazı vitaminler yağda çözünür; diğerleri suda çözünür. Suda çözünen vitaminler (C, tiamin, riboflavin, piridoksin, biotin, pantotenik asit, folat, B12) bir veya daha fazla polar veya iyonize edilebilir gruba sahip olma eğilimindeyken, yağda çözünen vitaminler (A, D, E ve K) ağırlıklı olarak aromatik ve alifatik karakterlere sahiptir.
2.
Besinler, yaşam ve sağlık için gerekli olan gıdalardaki bileşiklerdir ve bize enerji, onarım ve büyüme için yapı taşları ve kimyasal süreçleri düzenlemek için gerekli maddeler sağlar. Altı ana besin maddesi vardır: Karbonhidratlar (CHO), Lipitler (yağlar), Proteinler, Vitaminler, Mineraller, Su.
3.
Vitaminlerin farklı görevleri vardır - enfeksiyonlara direnmenize, sinirlerinizi sağlıklı tutmanıza ve vücudunuzun gıdalardan veya kanınızdan düzgün pıhtılaşmak için enerji almasına yardımcı olur. Beslenme Yönergelerini takip ederek, bu vitaminlerin çoğunu yiyeceklerden yeterince alacaksınız. Mineraller ayrıca vücudunuzun çalışmasına yardımcı olur.
Step-by-step explanation:
This is the best i could do...
How is 7÷2 equivalent to 7/2?
Answer:
7 divided 2 is another way of saying 7/2 since division and fractions are alike.
Step-by-step explanation:
Answer:
because youre still dividing it either way;
Step-by-step explanation:
an improper fraction (7/2) you would have to see how many times the 2 goes into the 7 to get a proper fraction. its the same way with division, just less complicated and in a different format.