Answer:
15
Step-by-step explanation:
$100 / 10 pounds = $10 / pound
$150 / 10 dollars = 15 pounds of onions
The quadrtic expression x^2-2x-35 can be factored into (x+5)(x-7). Which ordered pairs represent the zeros of this expressionś related quadratic functions
Answer:
The ordered pairs of [tex]p(x) = x^{2}-2\cdot x -35[/tex] are [tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex], respectively.
Step-by-step explanation:
Let be [tex]p(x)[/tex] a quadratic expression whose two real zeros are real, a value of [tex]x[/tex] is a zero of the expression when [tex]p(x) = 0[/tex]. The factored form of the expression is represented by [tex]p(x) = (x-r_{1})\cdot (x-r_{2})[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the zeroes of the polynomial.
If [tex]p(x) = x^{2}-2\cdot x -35[/tex], then the ordered pairs that represent the zeros are:
[tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex]
Quadratic equation has a leading coefficient of the second degree. The ordered pairs of the quadratic equation are (-5,0) and (7,0).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
As the factors of the quadratic equation are given, therefore, equating the factors with zero in order to get the value of x.
[tex](x+5)=0\\x = -5[/tex]
[tex](x-7)=0\\x = 7[/tex]
Now, if we see the quadratic equation or the function it is written as,
[tex]y = x^2-2x-35 \\\\ x^2-2x-35 = 0[/tex]
Therefore, the value of y is 0.
Thus, the ordered pairs of the quadratic equation are (-5,0) and (7,0).
Learn more about Quadratic Equation:
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Based on the data, how many of 650 ice cream eaters would be expected to prefer vanilla or cookie dough ice cream flavor Number of people vanilla 71 strawberry 22 cookie dough 27 chocolate 83
Answer: 305 people
Step-by-step explanation:
The total number of people sampled is:
= 71 + 22 + 27 + 83
= 209
Out of this 209, the number of people who prefer Vanilla and cookie dough ice cream is:
= 71 + 27
= 98 people
In a sample of 209 people, 98 people would prefer either vanilla or cookie dough. In 650 people, that number would therefore be:
= 98/ 209 * 650
= 305 people
I need help please is for tomorrow):
Answer:
Step-by-step explanation:
If a number gets increased by scale factor = k
Then k > 1
If the number gets decreased by a scale factor 'k'
Then 0 < k < 1
Let numbers gets increased by the scale factor = 2,
And decreased by the scale factor = [tex]\frac{1}{2}[/tex]
Numbers Scale up by 2 Scale down by [tex]\frac{1}{2}[/tex]
0.05 0.05 × 2 = 0.1 0.05 × [tex]\frac{1}{2}[/tex] = 0.025
[tex]\frac{1}{2}[/tex] [tex]\frac{1}{2}\times 2 = 1[/tex] [tex]\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}[/tex]
7 7 × 2 = 14 7 × [tex]\frac{1}{2}[/tex] = 3.5
13 13 × 2 = 26 [tex]13\times \frac{1}{2}=6.5[/tex]
25 25 × 2 = 50 [tex]25\times \frac{1}{2}=12.5[/tex]
102 102 × 2 = 204 [tex]102\times \frac{1}{2}=51[/tex]
Simplify the expression using properties of exponents. 25a^-5b^-8/5a^4b
Answer: The simplification is [tex]5*a^{-9}*b^{-9}[/tex]
Step-by-step explanation:
Here we need to use the property:
[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]
We have the expression:
[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b}[/tex]
We can separate it in parts with the same base, then we can rewrite this as:
[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b} = \frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b}[/tex]
Using the first property we can rewrite this as:
[tex]\frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b} = 5*a^{-5 - 4}*b^{-8 - 1} = 5*a^{-9}*b^{-9}[/tex]
-
f(x) = x2 – 3x + 9
g(x) = 52 – 9
Find: (gºf)(x)
could 13 15 and 19 be a right triangle
Answer:
No b/c the hypotenuse is too short
Step-by-step explanation:
13² + 15² = 19²
169 + 225 = 361
394 ≠ 361
Find the value of x in the figure.
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]
~Set up an equation and solve for x :
→ [tex] \large{ \tt{10x + 45 \degree = 75 \degree + 70 \degree}}[/tex] [ Exterior angle is always equal to the sum of two non-adjacent interior angles ]
Add the numbers : 75° & 70°
→ [tex] \large{ \tt{10x + 45 \degree = 145 \degree}}[/tex]
Since we want to get rid of the constant in the left hand side , subtract 45 from both sides :
→ [tex] \large{ \tt{10x + 45 \degree - 45 \degree= 145 \degree - 45 \degree}}[/tex]
→ [tex] \large{ \tt{10x \: \cancel{ + 45 \degree} \: \cancel{ - 45 \degree} = 100 \degree}}[/tex]
→ [tex] \large{ \tt{10x = 100 \degree}}[/tex]
~Divide both sides by 10
→ [tex] \large{ \tt{ \frac{10x}{10} = \frac{100}{10}}} \degree[/tex]
→ [tex] \large{ \tt{x = 10 \degree}}[/tex]
⟿ [tex] \boxed{ \boxed{ \large{ \text{Our \: Final \: Answer} : \underline{ \bold{ \tt{x = 10 \degree}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
☄Let me know if you have any questions regarding my answer !
♪ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎
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Of the tangent is 15/20 what’s the sine of the angle
Answer:
25
Step-by-step explanation:
The vertices of a triangle are P(7,3), Q(3,1)and R(7,1). Enter the vertices of the image reflected in the x-axis
Answer:
P'(7,-3)
Q'(3,-1)
R'(7,-1)
Step-by-step explanation:
Switch signs of y-value when reflecting across x-axis.
Switch signs of x-value when reflecting across y-axis.
Hope this helped!
help plz!!!!!!!!!!!!!!!!!!!!!
Simplify the expression. Write your answer as a power.
[tex](5^{4} )^{3}[/tex]
Answer:
[tex]5^{12}[/tex]
Step-by-step explanation:
Lets say there's a number 'x' and there's an expression [tex](x^a)^b[/tex] where 'a' & 'b' are also numbers , the simplified form of the expression is [tex]x^{a \times b}[/tex].
So ,
[tex](5^4)^3 = 5^{4 \times 3} = 5^{12}[/tex]
The area of a rectangular parking lot is 5460²m.. If the length of the parking lot is 84, what is its width?
Answer: The width is 65.
Step-by-step explanation:
84 x 65 = 5460. I got 65 by spamming random numbers in the calculator until I got my answer.
A.ASA postulate
B.SAS postulate
C.SSS postulate
D.AAS theorem
A ladder is leaned against a wall that is six feet tall, so that the top of the ladder is resting on the top
of the wall. The ladder is inclined at an angle of thirty degrees. Find the distance from the bottom of
the ladder to the base of the wall. Round your answer to the nearest tenth of a foot. Do not include
units in your answer.
Answer:
[tex]10.4[/tex]
Step-by-step explanation:
The ladder leaning against the wall forms a right triangle with the wall and the ground. Therefore, we can use basic trig for a right triangle to solve this problem.
In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is distance between the bottom of the ladder to the base of the wall:
[tex]\tan 30^{\circ}=\frac{6}{x},\\x=\frac{6}{\tan 30^{\circ}},\\x\approx \boxed{10.4}[/tex].
If CD is not parallel to EF, what is m2C?
Evaluate 3x2 + 4y when x=5 and y= 6
Answer:
54
Step-by-step explanation:
put 5 in for x and 6 in for y
Answer:99
Step-by-step explanation:
Sally flipped a penny 25 times and landed on heads 16 out of the 25 times. If she plans to flip the coin 100 times,
how many times can she expect to land on heads?
Answer:
50 times
Step-by-step explanation:
Since the odds of her getting a heads is 50% (1/2) every time she flips the coin. So she should expect to get 50 heads. However this number varies practically because in every single flip there is a 50-50 chance. If she had flipped it infinitely many times then it would be exactly 50%
Which equation represents an inverse variation?
Answer:
C. y=3/x
Step-by-step explanation:
hope this helps, sorry if I am wrong
PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
⅔n - 5 = ⅓n + 7
⅓n = 12
n = 36
can anybody finish this?
Answer:
No Thanks, and like you said when I asked my question "the answers above i need points"
(Also please stop doing this to people, it's rude and i'm doing this to you so you see this.)
what is the value of w
I think its 2..........
Is 3\11 and 17/6 proportional
Answer:
no
Step-by-step explanation:
The given ratios 3/11 and 17/6 are not proportional.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The given ratios are 3/11 and 17/6.
In order to check the proportionality cross multiplication is done as follows,
3/11 and 17/6
Cross multiply the numerators and denominators as follows,
3 × 6 and 17 × 11
=> 18 and 187
Since the cross multiplication of the numerators and denominators are not equal, the given ratios are not proportional.
Hence, the given ratios are not proportional.
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converting measures 48ft= yd
Answer:
48 Feet (ft) 16.000 Yards (yd)
1 ft = 0.333333 yd 1 yd = 3.000000 ft
Step-by-step explanation:
60 centimeters every 2.5 years 30 centimeters every 15 months are these equivalent? I NEED IT MY TEST IS TOMORROW and I am just really stumped on this.
Answer:
Yes, they are equivalent
Step-by-step explanation:
15 months= 1.25 years
60/2.5= 24
30/1.25 = 24
Answer:
Step-by-step explanation:
Since 2.5 years equals 2.5(12)=30months you have
60cm/30mo and 30cm/15mo these are equivalent because (2/2)(30/15)=60/30
Lucy has 25600 in savings account that earns 2% interest per year the interest is not compounded how much would you have in 3 months
Answer:
25728
Step-by-step explanation:
Amount i would have in 3 months = simple interest + amount deposited
Simple interest = principal x time x interest rate
Principal = 25600
Interest rate = 2%
Time = 3/ 12 = 0.25
25,600 x 0.02 x 0.25 = 128
Total amount = 25,600 + 128 = 25728
rename 11/5 as a mixed answer
Answer:
[tex]2\frac{1}{5}[/tex]
Step-by-step explanation:
11 goes into 5 two times, but we are left with a remainder of 1.
So, we can say that the mixed number would be [tex]2\frac{1}{5}[/tex].
How do I solve for X for number 1 and 2???
Answer:
16approx17.5approxStep-by-step explanation:
1.
by using Pythagoras law
h²=p²+b²
17²=6²+x²
x=√{17²-6²)=√253=15.9=16approx
2.
by using Pythagoras law
h²=p²+b²
x²=9²+15²
x=√306=17.49=17.5approx
Answer:
1 is 16. 2 is 17.49 or 17.5 or 17 depends on how you're rounding.
Step-by-step explanation:
Keisha conducts a survey to determine how many siblings each of her classmates has. The data are shown below.
0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2
What is the mean value of Keisha’s data?
A. 0.75
B. 1
C. 1.3¯
D. 2
Answer:sorry its c
Step-by-step explanation:
The mean value of Keisha’s data is 1.333333.
What is Mean?The mean is the average of a set of variables in mathematics and statistics. There are several methods for computing the mean, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations),
We have the data,
0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2.
So, the mean value of data is
= (0 +1 + 0 + 2 + 2 + 1 + 3 + 0 + 4 + 0 + 1 + 2)/12
= 16/12
= 4/3
= 1.33333
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2. Given that set M = {Even numbers between 20 and 35), find n(m)
Step-by-step explanation:
Set M = {20,22,24,26,28,30,32,34}
n(M) = no. of elements in set M
i.e.
n(M) = 8
Answer:
7
Step-by-step explanation:
Even numbers between 20 and 35 are 22, 24, 26, 28, 30, 32, 34.
M = { 22, 24, 26, 28, 30, 32, 34}
There are 7 elements in the set M.
Thus, n(M) = 7
pls help i’ll mark as brainliest
Answer:
It is 39.3
Step-by-step explanation:
You find the circumference using the formula 2πr so you get 20π.
and then you multiply that by 225/360 bc 360 is how much the whole circle is and the 225 part is the part you want to solve.
So 20π*225/360 is about 39.3