Answer: (x-5)^2
Step-by-step explanation:
-5 and -5 multiply to 25 and add to -10
Write a quadratic equation in standard form with the given roots. Show your work to find the equation. 2, 7
Answer:
x²-9x+14
Step-by-step explanation:
So the roots are 2,7
So the equation is
(x-2)(x-7)
=x²-2x-7x+14
=x²-9x+14
Evaluate the expression -36/-9
How do I solve this equation and check the solutions?
Answer:
The value of x is 10.
Step-by-step explanation:
The steps to do this :
[tex]x - \sqrt{2x + 5} = 5[/tex]
[tex]x - 5 = \sqrt{2x + 5} [/tex]
[tex] {(x - 5)}^{2} = {( \sqrt{2x + 5}) }^{2} [/tex]
[tex] {x}^{2} - 10x + 25 = 2x + 5[/tex]
[tex] {x}^{2} - 12x + 20 = 0[/tex]
[tex] {x}^{2} - 2x - 10x + 20 = 0[/tex]
[tex]x(x - 2) - 10(x - 2) = 0[/tex]
[tex](x - 2)(x - 10) = 0[/tex]
[tex]x = 2 \: (rejected)[/tex]
[tex]x = 10[/tex]
what the slope of(12,7) (5,9)
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[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]
[tex]slope = \frac{2}{ - 7} \\ [/tex]
[tex]slope = - \frac{2}{7} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂,y₂) are the points on the line.
We are given the points (12,7) and (5,9). Therefore:
[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m=\frac{9-7}{5-12}[/tex]
Solve the numerator.
Subtract 7 from 9 9-7=2[tex]m=\frac{2}{5-12}[/tex]
Solve the denominator.
Subtract 12 from 5 5-12= -7[tex]m=\frac{2}{-7}[/tex]
This fraction cannot be reduced further, so it is the answer.
The slope of the line is -2/7
Which unit rate is the lowest price per ounce? Choice A: 6 ounces of raisins for $2.98 Choice B: 13 ounces of raisins for $7.18 *
Answer:
Choice B.
Step-by-step explanation:
2.98 divided by 6 = 0.4966∞ (rounded to the nearest hundredths) 0.50
7.18 divided by 13 = 0.5523076923 (rounded to the nearest hundredths) 0.55
The difference is 5 cents.
~~~Hope this helps~~~ :)
Answer:
choice b
Step-by-step explanation:
Given f(x) = 17x - 18, find x when f(x) = 33.
Answer:
f(x) = 17x - 18
y=17x-18
y=17(33)-18
y=561-18
y=543
f(x)=543
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
Plug in 33 for f(x) into the first equation:
33 = 17x - 18
17x = -51
x = -3
Denise guessed that the elephant at the zoo weighed 10,000 pounds. It actually weighed 12,400 pounds. Yesia guessed that the hippopotamus weighed 2,500 pounds and it actually weighed 3,600 pounds.Whose guess had the smaller percent error?
Answer: weight of elephant has smaller percent error.
Step-by-step explanation:
Percent error = [tex]\dfrac{|\text{estimated value -actual value}|}{\text{actual value}}]\times100[/tex]
Estimated weight of elephant = 10,000 pounds
Actual weight of elephant = 12,400 pounds
Percent error of weight = [tex]\dfrac{|12400-10000|}{12400}\times100\%\approx19.35\%[/tex]
Estimated weight of hippopotamus = 2,500 pounds
Actual weight of hippopotamus = 3,600 pounds
Percent error of weight = [tex]\dfrac{|2500-3600|}{3600}\times100\%\approx30.55\%[/tex]
Since 19.35 < 30.55
hence, weight of elephant has smaller percent error.
4 divided by 2/3
pls pls pls pls pls help pls pls
Answer:
4 divided by 2/3 (4 ÷ 2/3) = 6
Step-by-step explanation:
When you divide one number by another , this is the same as multiplying that one number by the reciprocal of that other number. So a/b = a × 1/b = a × b^-1.
Also a reciprocal is the same as taking something to the power of -1.
When you take the reciprocal of a fraction, just flip the numerator, and denominator.
b^-1 = 1/b.
b^-n = 1/b^n.
(a/b)^-1 = b/a
a/b^-1 = ab
Therefore 4 / (2/3) = 4 × 3/2 = 12/2 = 6.
Answer:
6
Step-by-step explanation: 4 ÷ (2 ÷3)=6
5. Your friend has a job at a fast food restaurant wrapping hamburgers. How many
hamburgers will they have to wrap to make one million dollars?
Every 3 hours they wrap 350. hamburgers.
They work 8 hours per day; 5 days per week.
They are paid every 2 weeks with a salary of $725.77.
9514 1404 393
Answer:
12,859,905 hamburgers
Step-by-step explanation:
Each conversion factor has a value of 1, but changes units. That is, the value of the numerator is the same as the value of the denominator, but expressed in different units.
We choose the representation of the conversion factors to cancel units we don't want and give us units we do want.
[tex]\$1\,000\,000=\$1\,000\,000\times\dfrac{2\text{ week}}{\$725.77}\times\dfrac{5\text{ day}}{1\text{ week}}\times\dfrac{8\text{ h}}{1\text{ day}}\times\dfrac{350\text{ burgers}}{3\text{ h}}\\\\=\dfrac{1\,000\,000\times2\times5\times8\times350}{725.77\times3}\text{ burgers}\approx\boxed{12\,859\,905\text{ burgers}}[/tex]
__
Additional comment
That's a little over 55 years, if they take 2 weeks off each year.
Find the measurement
Answer:
AC = 40
Step-by-step explanation:
AC and BD are equal to each other in length. So:
4x-4 = 3x+7
Now you solve for x. Add 4 to each side.
4x= 3x + 11
Then subtract 3x from both sides.
X = 11. There you have X, now you plug 11 in for x in the AC= 3x+7
3(11) + 7 = AC
33 + 7 = AC
40 = AC
A circle of radius 8 is inscribed in an isosceles trapezoid. The length of the larger base of the trapezoid is 20. Find the length of the shorter base.
PLEASE ANSWER FAST
Answer:
ayy
Step-by-step explanation:
sup
Answer:
12 4/5
Step-by-step explanation:
you can use just mark x as half of the leg of the trapezoid and then use pythagorean theorem to get x^2+8^2+10^2+8^2=(10+x)^2 and then solve
If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed
Q is equidistant from the sides of ZTSR. Find mZRST. The
diagram is not to scale.
PLEASE HELP ME THIS IS FOR GEOMETRY I CANT FIGURE THIS OUT
9514 1404 393
Answer:
40°
Step-by-step explanation:
Triangles QRS and QTS are congruent (HL), so the marked angles are also congruent:
3x +2 = 4x -4
6 = x
Then the total angle measure of angle RST is ...
(3x +2) +(4x -4) = 7x -2 = 7(6) -2 = 40 . . . degrees
m∠RST = 40°
please help please
Which relations are functions? Select all that apply.
A. (3, 2), (-1, 7),(-3, 1), (0.9), (2, -4)
В.
х
-4
-2
у
9
12
15
c
x
1
2
3
4
y
2
4
6
13
D
Answer:
A and C
Step-by-step explanation:
For any relation to be considered a function, each domain value (x-value) must have exactly one range value (y-value). If a relation contains an x-value that has two or more y-value related/mapped to it, the relation is not a function.
Let's examine each option given.
Option A: each x-value has exactly one y-value related or assigned to it. Therefore, the relation is A FUNCTION.
Option B: the x-value, 4, has two y-values, 12 and 15 assigned to it. Therefore, the relation is NOT A FUNCTION.
Option C: each x-value has exactly one y-value related or assigned to it. Therefore, the relation is A FUNCTION.
Option D: the x-value, 1, has two y-values, -1 and 1 assigned to it. Also, x-value, 3, has two y-values, 2 and -2 assigned to it. Therefore, the relation is NOT A FUNCTION.
4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes?
Answer:
560 $
Step-by-step explanation:
4 shoes is 80
so, we have to multiply
$140
Or
£140
You are American so its the first one
After every eighth visit to a restaurant you receive a free beverage. After every tenth visit you receive a free appetizer. If you visit the restaurant 100 times, on which visits will you receive a free beverage and a free appetizer? At which visit will you first receive a free beverage and a free appetizer? Drag and drop the correct value into each box to complete the statement. You will receive a free beverage and a free appetizer on the and visits, and you will first receive a free beverage and a free appetizer on the visit.
Answer:
40th and 80th visit
the first visit where you receive both is the 40th
Step-by-step explanation:
personally, I believe that the simplest way to solve this is use an excel spreadsheet to see which visits would include both a free beverage and a free appetizer:
both rewards would happen only twice, at the 40th and 80th visit.you can also calculate it mathematically since multiples of 8 and 10 do not repeat themselves very much, only when 8 is multiplied by 5 and 10.
Answer:
Step-by-step explanation:
three segment measures are given. the three points named are collinear. determine which point is between the other two.
1. XY = 15, AY = 31, AX = 46
2. AB = 12, BC = 20, AC = 32
3. MO = 75, MC = 34, OC = 41
4. DE = 58, GE = 12, DG = 70
Answer:
1.
Step-by-step explanation:
31+25=46
AY+YX=AX
how to estimate 26% of 322
Answer:
83.72
Step-by-step explanation:
26 percent *322 =
(26:100)*322 =
(26*322):100 =
8372:100 = 83.72
Answer:
83.72 or 84
Step-by-step explanation:
26% x 322=
26 / 100 x 322=
(26 x 322) / 100
83.72 / 100 = 83.72
83.72 = 84
Please help me answer number 12
Answer:
It is same.
The PS and RS leg which has the same length allow the use of HL by providing the same degree of angle.
Thank you and please rate me as brainliest as it will help me to level up
Plot the image of triangle \triangle ABC△ABCtriangle, A, B, C under a reflection across line \ellℓell.
Answer:
Please find attached the required plot of the reflection of ABC across line l
Step-by-step explanation:
The reflection of the coordinates of the points of a preimage across a line is given by points with distances on the other side of the line of the same length as the distances of the coordinates of the points of the preimage are from the given line;
Therefore, the image of the preimage is drawn by selecting points on the other side of the reflecting line that are equidistant from the line as the points of the preimage, and that are directly (vertically) opposite the points on the other side of the line as shown in the attached graph drawn with Microsoft Word
Cindy struck out 7, 14, 6, 4, 5, and 6 batters in softball games this season. In discussing her stats with a newspaper reporter, Cindy's coach mentions that the average number of Cindy's strikeouts is 7. Is the coach's statement misleading? Explain why or why not.
Answer:
The coach's statement is not misleading because her average strikeouts is 7.
Where as the coach also tells that it is 7.
Step-by-step explanation:
The average is taken out by adding the observations and dividing by the total number of observations.
X`= ∑x/n where n is the number of observations.
Average = 7 + 14 + 6 + 4 +5 +6 /6
Average = 42/6= 7
The coach's statement is not misleading because her average strikeouts is 7.
Where as the coach also tells that it is 7.
In a
group of 100 youths, the ratio of youths who like Android tablet and Ipad is 3:5. 1620 of them like
the tems and 40 of them like non of the items then by drawing a Venn diagram, find how many
dem like Android tablet only
Answer:
None of them like the android tablet
what is the solution 4x-10=x+3x-2x
Answer:
x=5
Step-by-step explanation:
Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much does will Gary have to pay in all? If he has $25, can he afford to purchase the game?
Answer:
i. $26.16ii. He cannot afford the video gameStep-by-step explanation:
Step one:
given
selling price = $48
discount is 50%
tax= 4.5%
Step two:
let us first compute the amount in discount
=50/100*48
=0.5*48
=$24
also, let us compute the tax added
=4.5/100*48
=0.045*48
=$2.16
The total amount Garry has to pay is
=48-24+2.16
=$26.16
Step three:
If he has $25, he cannot afford the video game, he will have a deficit of $1.16
Answer: Gary will have to pay $25.08 in all, and if he has exactly $25, he can't afford to purchase the game because he only has $25, and he has to pay $25.08. $25.08 is more than $25, so he can't afford the game.
Step-by-step explanation:
First, subtract the $48 and 50% to find how much the video game costs.
So, $48-50%=24
Then, add the price of the video game, $24, to the 4.5% tax.
24+4.5%=25.08
Thus, Gary will need to pay $25.08 in all.
evaluate the expression for the give value of the variable.
3d — 4
d = 1.2
Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation
(x – 8)2 = 144, x represents the side measure of the original lawn.
Answer:
The answer is 20 feet by 20 feet. Let's solve the equation: (x – 8)^2 = 144. (x - 8)^2 = 12^2. Since a^2 = b^2 is the same as a = b, then (x - 8)^2 = 12^2 can be simplified to: x - 8 = 12. Now, solve for x. x = 8 + 12. x = 20. Therefore, the dimensions of the original lawn were 20 feet by 20 feet.
What steps would you follow in order to solve the equation?
w/8 - 4 = 20
add 4 on each side and divide by 8
subtract 4 on each side and multiply by 8
add 4 on each side and multiply by 8
subtract 4 on each side and divide by 8
Answer:
Step-by-step explanation:
w/8-4=20
add 4 to each side
w/8=24
multiply by 8 to clear out the w on one side
w=192
The rhombus QRST is made of two congruent isosceles triangles. Given m∠QTS = 64, what is the measure of ∠Q?
Answer:
The measure of Q is 116
Step-by-step explanation:
For a Rhombus, opposite angles are equal
so angle R is 64 too
Now, we should understand that the diagonals bisect the angles
So the angles in the triangle QTR are
Q + 32 + 32 = 180
Q = 180-64
Q = 116 degrees
Please help you get 14 points
Answer:
false
Step-by-step explanation:
because 17.5×4 doesnt equal 20
what is 0.00000000007234 written in scienific from guysss help mee plss
Answer:
7.234
Step-by-step explanation:
I think this right lol lmk
Answer:
[tex]7.234\times10^{11}[/tex]
Step-by-step explanation:
In order to find the scientific notation of a number you must count the zeros.
[tex]0.00000000007234[/tex]
[tex]zeros=10[/tex]
[tex]7.234\times10^{11} =.00000000007234[/tex]
Remember you have to move the decimal point 11 times to get the decimal to where it is in standard form.
Hope this helps.