1. Divide
(7x2 - 13x+4) - (x-1
)
Answer:7 x 2 − 14 x + 5
Step-by-step explanation:
1 In general, given a{x}^{2}+bx+cax
2
+bx+c, the factored form is:
a(x-\frac{-b+\sqrt{{b}^{2}-4ac}}{2a})(x-\frac{-b-\sqrt{{b}^{2}-4ac}}{2a})
a(x−
2a
−b+
b
2
−4ac
)(x−
2a
−b−
b
2
−4ac
)
2 In this case, a=7a=7, b=-14b=−14 and c=5c=5.
7(x-\frac{14+\sqrt{{(-14)}^{2}-4\times 7\times 5}}{2\times 7})(x-\frac{14-\sqrt{{(-14)}^{2}-4\times 7\times 5}}{2\times 7})
7(x−
2×7
14+
(−14)
2
−4×7×5
)(x−
2×7
14−
(−14)
2
−4×7×5
)
3 Simplify.
7(x-\frac{14+2\sqrt{14}}{14})(x-\frac{14-2\sqrt{14}}{14})
7(x−
14
14+2
14
)(x−
14
14−2
14
)
4 Factor out the common term 22.
7(x-\frac{2(7+\sqrt{14})}{14})(x-\frac{14-2\sqrt{14}}{14})
7(x−
14
2(7+
14
)
)(x−
14
14−2
14
)
5 Simplify \frac{2(7+\sqrt{14})}{14}
14
2(7+
14
)
to \frac{7+\sqrt{14}}{7}
7
7+
14
.
7(x-\frac{7+\sqrt{14}}{7})(x-\frac{14-2\sqrt{14}}{14})
7(x−
7
7+
14
)(x−
14
14−2
14
)
6 Simplify \frac{7+\sqrt{14}}{7}
7
7+
14
to 1+\frac{\sqrt{14}}{7}1+
7
14
.
7(x-(1+\frac{\sqrt{14}}{7}))(x-\frac{14-2\sqrt{14}}{14})
7(x−(1+
7
14
))(x−
14
14−2
14
)
7 Remove parentheses.
7(x-1-\frac{\sqrt{14}}{7})(x-\frac{14-2\sqrt{14}}{14})
7(x−1−
7
14
)(x−
14
14−2
14
)
8 Factor out the common term 22.
7(x-1-\frac{\sqrt{14}}{7})(x-\frac{2(7-\sqrt{14})}{14})
7(x−1−
7
14
)(x−
14
2(7−
14
)
)
9 Simplify \frac{2(7-\sqrt{14})}{14}
14
2(7−
14
)
to \frac{7-\sqrt{14}}{7}
7
7−
14
.
7(x-1-\frac{\sqrt{14}}{7})(x-\frac{7-\sqrt{14}}{7})
7(x−1−
7
14
)(x−
7
7−
14
)
10 Simplify \frac{7-\sqrt{14}}{7}
7 7− 14 to 1-\frac{\sqrt{14}}{7}1− 7 14
7(x-1-\frac{\sqrt{14}}{7})(x-(1-\frac{\sqrt{14}}{7}))
7(x−1− 7 /14 )(x−(1− 7 14 )) 11 Remove parentheses.
7(x-1-\frac{\sqrt{14}}{7})(x-1+\frac{\sqrt{14}}{7})
7(x−1− 7/ 14 .7(x−1+ 7 14 )
For the high school basketball game, it costs $8 for every 2 tickets.
Complete the table below showing the cost and the number of tickets.
Answer:
$8 16 24 32 40 48 56 64 72 80
---------------------------------------------------------------------------
4 8 12 16 20 24 28 32 36 40
Step-by-step explanation:
Jillian is making accessories for the soccer team. She uses 677.46 inches of fabric on headbands for 38 players and 4 coaches. She also uses 366.32 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
The amount of fabric used to make the headband is 16.13 inches. The amount of fabric used to make the wristband is 9.64 inches.
In order to determine the amount of fabric used to make the accessories, the total inches used would be divided by the total number of people the accessory was made for.
The amount of fabric used to make headband for a player = total quantity of fabrics used / total number of people
677.46 / (38 + 4)
677.46 / 42
= 16.13 inches
The amount of fabric used to make wristband for a player = total quantity of fabrics used / total number of players
366.32 / 38 = 9.64 inches
To learn more about division, please check: https://brainly.com/question/194007
x-5y=16 , 4x-2y=-8 solve using elimination method
Answer:
x = -4
y = -4
Step-by-step explanation:
L1 x - 5y = 16
L2 4x - 2y = -8
4*L1 - L2
4x - 20y = 64
-4x + 2y = 8
-----------------------
-18y = 72
y = 72 / -18
y = -4
x - 5y = 16
x = 16 + 5y
x = 16 + 5(-4)
x = 16 - 20
x = -4
Find the quotient: 7,308 divided by 18. A) 46 B) 406 C) 406 10/18. D) 408
Answer:
7308 / 18
= 406
B is the answer.
Find the area of the triangle
Please help me - I don't get how to do this.
Please show your work - I really need to understand this
Answer:
Step-by-step explanation:
1. Pythagorean theorem: a^2+b^2=c^2
Note that the hypotenuse is 11 (for the second right triangle).
Find the length of the dotted line by doing 7^2+b^2=11^2
49+b^2=121, b=[tex]\sqrt{72\\}[/tex].
Now you can the area of the second right triangle: ([tex]\sqrt{72\\}[/tex](7))/2=29.7.
Find the length of the first right triangle:
Note that 9 is the hypotenuse; ([tex]\sqrt{72\\}[/tex])^2+b^2=9^2
=72+b^2=81
b=3.
([tex]\sqrt{72}[/tex])(3))/2=12.7
When a number is subtracted from -3 2/3 , the result is -2 1/6. What is the number?
A.5 5/6
B. 1 1/2
C. - 1 !/2
D. -5 5/6
Answer:
D. [tex]-5 \frac{5}{6}[/tex]
Step-by-step explanation:
Add the values:
[tex]-3\frac{2}{3}+\left(-2\right)\frac{1}{6}[/tex]
[tex]=-\frac{11}{3}+\left(-2\right)\frac{1}{6}[/tex]
[tex]=-\frac{11}{3}-\frac{1}{3}[/tex]
[tex]-5 \frac{5}{6}[/tex]
Answer:
C. - 1 ½
Step-by-step explanation:
-3⅔ - x = - 2⅙
x = -3⅔ + 2⅙
x = -11/3 + 13/6
x = -22/6 + 13/6
x = -9/6
x = -1 ½
estimate a 15 tip on a restaurant bill of $24.55
Answer:
39.55
Step-by-step explanation:
24.99+15=39.55
That is how you get your answer :)
Answer:
1.89
Step-by-step explanation:
.15 x 24.55=1.89
12. -2 times the difference of x and 4 is 14. What is the number
- 2x + 4 = 14
- 2x = 14 - 4
- 2x = 10
x = 10 / - 2
x = - 5#FromIndonesia
How do I solve this and what is the answer to this?! Number 14.
Answer:
You'll have to give more information about the question or about what you need solved.
Step-by-step explanation:
The cost of providing water bottles at a high school football game is $35 for the rental of the coolers and $0.50 per bottle
The cost function is an illustration of a linear function
The equation of the cost function is C(x) = 35 + 0.5x
The given parameters are:
[tex]Rentals = 35[/tex] -- the cost of renting a cooler
[tex]Rate = 0.5[/tex] --- the rate per bottle
Assume the number of bottles in a cooler is x.
The cost function for the bottles in a cooler would be:
[tex]C(x) = Rentals + Rate \times x[/tex]
So, we have:
[tex]C(x) = 35 + 0.5\times x[/tex]
Evaluate the products
[tex]C(x) = 35 + 0.5x[/tex]
Hence, the equation is [tex]C(x) = 35 + 0.5x[/tex]
Read more about linear functions at:
https://brainly.com/question/15602982
Number 1. What is 42% of 80
Answer:
The answer is 33.6.
Hope that helps?
Step-by-step explanation:
8. The exact lengths of the segments
connecting corresponding vertices
are:
BK = 2.2 units KB' = 2.2 units
AJ = 5.6 units JA' = 5.6 units
CL = 3.8 units LC' = 3.8 units
Which segments have equal
lengths?
no segments
all segments
corresponding segments
Answer:
corresponding segments
Step-by-step explanation:
BK = KB'
AJ - JA'
CL = LC'
If the product of a number and -5 is reduced by 2, the result is 26 less than twice the opposite of the number. What is the
number?
Answer:
(-5n)-2=26-2n
Step-by-step explanation:
i think -9 1/3
well, let's say that number is "a", so it's opposite will just be "-a".
what's that number times -5?
-5*a => -5a
let's reduce that by 2
-5a -2
what would it be twice the opposite of it?
2(-a)
what is it 26 less than that?
2(-a) - 26.
[tex]-5a-2=2(-a)-26\implies -5a-2=-2a-26\implies -2=3a-26 \\\\\\ 24=3a\implies \cfrac{24}{3}=a\implies \boxed{8=a}[/tex]
some help, I need some answers
Answer:
Well your Hypotenuse is 10 and your other angle is 8 so it is most likely 6 because you see a change in 2 each time and it is about 2 units smaller because all right triangles follow a pattern
Step-by-step explanation:
if it was too go even higher it would go to 12,14,16 etcetera
The large rectangle below represents one whole. What percent is represented by the shaded area? %
Answer:
Step-by-step explanation:
would help a lot if you show the picture or describe it very well.
You get a summer job and make a total of $5,500 throughout the summer months. The government takes out taxes from that money at a rate of 33%. How much money did you really make after taxes were taken out?
Answer:
$1650 is the answer hope it helps
in simplest terms: (-5x-7)-(-4x-6)(−5x−7)−(−4x−6)
Answer:
-20x^2-59x-43
Step-by-step explanation:
G is generic mean explain?
Answer:
1. of, applicable to, or referring to all the members of a genus, class, group, or kind; general
Step-by-step explanation:
3.) Jason has one less dimes than quarters and twice as many nickels
as quarters. If he has a total of $4.40, how many of each type
coin does he have?
Answer:
10 quarters, 9 dimes, and 20 nickels.
Step-by-step explanation:
q - 1 = d, 2q = n or q = 1/2n
.25q + .10(q - 1) + .05(2q) = 4.40
.25q + .10q - .10 + .10q = 4.40
.45q - .10 = 4.40
.45q = 4.50
4.5/.45 = 10
He has 10 quarters, 9 dimes, and 20 nickels.
Marcie bought a 50-foot roll of packing tape. She used 8 5/6 foot lengtss. How much tape is left on the roll?
Answer:
22.40 feeds
Step-by-step explanation:
multiply it
What is the point of intersection for the graphs of the equations 4x-y=6 and x+y=4
Answer:
(2,2)
Step-by-step explanation:
4x-6 = 4-x
5x = 10
x = 2
y = 4-2 = 2
(2,2)
Ricky ran 3/4 of a mile in 1/12 of an hour. What was Ricky´s average speed?
Answer: 9
Step-by-step explanation:
3/4mile takes 1/12 hours
so a whole hour is 3/4 / 1/12 = 3/4*12 = 9miles/hour
Answer:
3/2 miles per hour
Step-by-step explanation:
To find his average speed, divide 3/4 mile by 1/2 hour:
3 2
----- * ------ = 3/2 miles per hour
4 1
how many times bigger is 3,136 than 486 written as a percentage
Answer:
Step-by-step explanation:
Solution for 468 is what percent of 486:
468:486*100 =
(468*100):486 =
46800:486 = 96.3
Now we have: 468 is what percent of 486 = 96.3
Question: 468 is what percent of 486?
Percentage solution with steps:
Step 1: We make the assumption that 486 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=486$.
Step 4: In the same vein, $x\%=468$.
Step 5: This gives us a pair of simple equations:
$100\%=486(1)$.
$x\%=468(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$frac{100%}{x%}=frac{486}{468}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$frac{x%}{100%}=\frac{468}{486}$
$Rightarrow x=96.3%$
Therefore, $468$ is $96.3%$ of $486$.
QUESTION 3. ANSWER CHOICE'S ARE THE SECOND PICTURE. PLEASE ANSWER ALL I WILL GIVE BRAINLEST
Answer:
1. The cost of the fencing material for each side of the playground.
2. The perimeter of the park
3. The labor fee
4. The cost of the fencing material for the whole park.
Step-by-step explanation:
Hope this helps! :)
132.16 divided by 16
Answer: 8.26
Step-by-step explanation:
Should I Explain How I got it?
132.16 divided by 16 is equal to 8.26.
Here, we have,
given that,
132.16 divided by 16
so, we have, 132.16 ÷ 16
To find the quotient of 132.16 divided by 16,
we can perform long division:
8.26
____________
16 | 132.16
112
____________
20
Therefore, 132.16 divided by 16 is equal to 8.26.
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#SPJ6
+
-
1. The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990
through 2009 can be approximated by the function M = f(0) = 0.0037(t + 14.979), where t = 0
represents the year 1990.
(a) Describe the transformation of the common function f(x) = x2. Then sketch the graph over the
intervalo s t < 19.
(b) Rewrite the function so that t = 0 represents the year 2000. Explain how you got your answer.
(c) Use the model from part (b) to predict the mortgage debt in the year 2014.
The give quadratic function is dilated by the given coefficient, and shifted
horizontally to the left.
(a) The transformation of the common function f(x) are;
f(t) is made more wider than f(x) f(t) is shifted more to the left than the common function f(x).Please find attached the required graph created with MS Excel
(b) Where t = 0, represent the year 2,000 we have;
f(t) = 0.0037·(t + 24.979)²(c) The mortgage debt in the year 2014 is M ≈ $5.622 trillion
Reasons:
The given function is f(t) = 0.0037·(t + 14.979)²
Year 1990 is t = 0
(a) The given common function is; f(x) = x²
The transformation of the quadratic function are;
The coefficient 0.0037 widens the common function such that f(t) is wider
than f(x).
The constant, 14.979 added to the variable, t, shifts the graph of the
common function horizontally to the left.
Therefore;
f(t) is wider and shifted to the left more than the common function f(x)Please find attached the required graph over the interval 0 ≤ t ≤ 19 created with MS Excel.
(b) The amount of mortgage debt in 2,000 is given as follows;
With t' = 0 represent the year 2,000, we have;
At year 1990, t' = -10
Which gives, t' = t + 10
From which we have;
f(t) = 0.0037·(t + 14.979)² = 0.0037·(t' + 10 + 14.979)² = 0.0037·(t' + 24.979)²
Therefore;
The function with t = 0 representing the year 2,000 is presented as follows;
f(t) = 0.0037·(t + 24.979)²
(c) In the year 2014, we have;
t = 2014 - 2000 = 14
Which gives;
f(14) = 0.0037·(14 + 24.979)² ≈ 5.622
The mortgage debt in the year 2014 is M ≈ $5.622 trillion dollars
Learn more about transformation of quadratic functions here:
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really need help with this
Answer:
Step-by-step explanation:
You have 2 sides given in a right triangle. You can make an equation that will solve for x. In fact the tangent will do. There's no need to solve for the third side.
Tan(x) = opposite / adjacent
opposite = 39
adjacent = 76
Tan(x) = 39/76
Tan(x) = 0.5132
When finding an angle, you need to use the inverse tan.
x = tan-1(0.5132) Use 2nd function tan(x)
x = 27.16 degrees.
Step-by-step explanation:
first we need the length of the Hypotenuse (UW).
Pythagoras :
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
UW² = 76² + 39² = 5,776 + 1,521 = 7,297
UW = sqrt(7297) = 85.42247948...
now we get x from the law of sine :
sinA/a = sinB/b = sinC/c
with the angles always being opposite of the sides.
so, we have
sin(x)/39 = sin(90)/sqrt(7297) = 1/sqrt(7297)
sin(x) = 39/sqrt(7297) = 0.456554296...
x = 27.16498506...° ≈ 27.2°
we could have done it without the Hypotenuse first.
as the angle W is 90-x
sin(x)/39 = sin(90-x)/76 = cos(x)/76
sin(x)/cos(x) = 39/76 = tan(x) = 0.513157895...
x = 27.16498506...° ≈ 27.2°
as expected, it is precisely the same result.
(02.06)If a piece of ribbon is 6 and 1 over 4. feet long, how long is it in inches? 25 inches 72 inches 75 inches 84 inches
Answer:
C
Step-by-step explanation:
1 foot = 12 inches Find 1/4 foot in inches
1/4 a foot = 1/4 * 12 = 3 inches
6 1/4 feet = (6 + 1/4) * 12
=72 + 3
75 inches
PLEASE HELP IM BEING TIMED!
Ivan is making cookies for a party. He has 5 cups of flour. The recipe calls for 2 cups of flour. Ivan wants to double the recipe.
Which statement about the amount of flour for the doubled recipe is true?
O A. Ivan has 1 cups of flour more than he needs.
B. Ivan has
5
cup of flour more than he needs.
O c Ivan has exactly enough flour.
D. Ivan needs
cup more flour than he has.
OE. Ivan needs 1
cups more flour than he has.
The recipe calls for 2 cups of flour. The double of this amount is :
[tex]\mathfrak{2*2} [/tex]
[tex]\underline{\mathfrak{=4}} [/tex]
If Ivan has 5 cups, then :
[tex]\mathfrak{5-4} [/tex]
[tex]\underline{\mathfrak{=1}} [/tex]
So, O A. Ivan has 1 cup of flour more than he needs.
[tex]\mathbb{MIREU} [/tex]