Answer:
(-1 + √2) and (-1 - √2)
Step-by-step explanation:
Given in the question the equation
y = x² + 2x - 1
To find the x-intercept, substitute in 0 for y
0 = x² + 2x - 1
To find value of x use quadratic equation
x = -b ± √b²-4ac / 2a
here a = 1
b = 2
c = -1
x1 = -2 + √2²-4(1)(-1) / 2(1)
= -2 + 2√2 / 2
= -1 + √2
x2 = -2 - √2²-4(1)(-1) / 2(-1)
= -2 - 2√2 / -2
= -1 - √2
please hurry
What is the surface area of the cylinder? Express the answer in terms of pi.
➷ The formula for surface area of a cylinder is:
[tex]2\pi rh + 2\pi r^2[/tex]
The radius is half the diameter
radius = 8/2 = 4
Substitute the values in:
[tex]2\pi (4)(18) + 2\pi (4)^2[/tex]
Solve it:
surface area = [tex]176\pi[/tex]
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
525.64 [tex]cm^{2}[/tex]
Step-by-step explanation:
The formula is S.A. =2[tex]\pi r^{2} + 2\pi rh[/tex]
write the equation out. *raduis is half of diameter, d=8. r=4)
2 x 3.14 x [tex]4^{2}[/tex] + 2 x 3.14 x 4 x 18 = S.A.
Solve
2 x 3.14 x 4^2 = 100.48
Rewrite
100.48 + 2 x 3.14 x 4 x 18 = S.A.
solve second halve
2 x 3.14 x 4 x 18 = 452.16
rewrite
100.48 + 425.16 = 525.64
525.64 [tex]cm^{2}[/tex]
Hope this helped! Please mark as brainliest! Thanks!
Solve −3.5 = x 4 for x using the multiplication property of equality.
Answer:
x = -14
Step-by-step explanation:
-3.5 = x/4
In the right side, the fraction x/4 means x divided by 4. We want x alone, so we multiply both sides by 4.
-3.5 * 4 = x/4 * 4
-14 = x
Answer: x = -14
The solution to the equation -3.5 = x/4for x using the multiplication property of equality is x = -14.
What is multiplication property of equality?Multiplication property of equality is an equality property which states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation are equal.
So,
-3.5 = x/4
multiply both sides by 4
-3.5 × 4 = x/4 × 4
-14 = x
Therefore, x equals negative 14.
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The sum of the digits of a two-digit number is 11. The tens digit is one less than three times the ones digit. Find the original number.
Answer:
83
Step-by-step explanation:
8 is one less than 3x3
Can you guys pls help me out
Answer:
A. $240,000
Step-by-step explanation:
look at the chart - find $30,000 and find 35 year old / 75%.. go down and to the right of the chart and find 8.0.. multiply 30,000 by 8.0 = 240,000.
hope this helps!!
A football field is 100 yards long and 60 yards wide. Whats the length of a diagonal of the football field
Answer:
pythag. theorem
100^2 +60^2 =c^2
10,000+3600= (take sq. root) 13,600
c= 116.62ft
Step-by-step explanation:
The length of the diagonal of the football field is 116.62 yards.
What is the Pythagorean theorem?The Pythagorean theorem states that in a right-angled triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse.
The length of the diagonal can be found as follows:A football field is rectangular in shape.
The diagonal of a rectangle divides it into two right-angled triangles.
Therefore, the diagonal becomes the hypotenuse of the right-angled triangles.
Therefore, diagonal² = length² + width²
⇒ diagonal² = 10,000 + 3600 yards²
⇒ diagonal² = 13,600 yards²
⇒ diagonal = 116.62 yards
Therefore, the length of the diagonal of the football field is 116.62 yards.
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A father who is 42 years old has a son and a daughter. The daughter is three times as old as the son. In at present? 10 years, the sum of all their ages will be 100 years. How old are the two siblings
Answer:
The son is 7 and the daughter is 21
Step-by-step explanation:
So, if they’re his kids they must be younger than him which means that both ages are more than 42. One number also has to be the other one times 3. 7*3 = 21 and they are also both less than 42. That means it’s your answer.
Brainliest please
After 10 years, the two siblings are 12 years and 36 years old.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
A father who is 42 years old has a son and a daughter.
The daughter is three times as old as the son.
Let x be the age of the son, then 3x be the age of the daughter.
After 10 years, the sum of all their ages will be 100 years.
That means,
x + 10 + 3x + 10 + 42 = 100
4x = 48
x = 12
Then 3x = 36.
Therefore, the ages of the siblings are 12 and 36.
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company A charges $50 to come to the house plus $60 per hour company B charges $80 to come to the house plus $50 per hour how many hours will it be for bills to be the same
Answer:
3 hours
Step-by-step explanation:
I have no clue how to do this
Answer:
CE = 12
Step-by-step explanation:
ΔCDB and ΔEAB are similar, hence the ratios of corresponding sides are equal
We require to find the length of BC to complete CE
[tex]\frac{BC}{BE}[/tex] = [tex]\frac{DB}{AB}[/tex], substitute values
[tex]\frac{BC}{8}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )
10BC = 40 ( divide both sides by 10 )
BC = 4
CE = CB + BE =4 + 8 = 12
Please help it will help so much
Answer:
8:10
Step-by-step explanation:
If you add the amount of minutes it takes for her to get ready, then add them to 7:15 (55 minutes after 7:15) you get 8:10
The answer is d. I already did the math on the calculator
Help me please with my precal! :)
ANSWER
[tex]y = 5x + 5[/tex]
EXPLANATION
Using any two ordered pairs we can find the equation.
Let us use
(2,15) and (5,30).
The slope is
[tex] = \frac{30 - 15}{5 - 2} = \frac{15}{3} = 5[/tex]
The equation is given by:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-15=5(x-2)[/tex]
This implies that,
[tex]y = 5x - 10 + 15[/tex]
The required equation is
[tex]y = 5x + 5[/tex]
If 2/3x-1=4,then x=
A)15/2
B)8/2
C)13/3
D)10/3
Answer:
A
Step-by-step explanation:
2/3x-1=4
Add 1 to each side
2/3x = 5
Divide each side by 2/3
x = 7.5
Find the same value...
15/2 = 7.5
how many cubic feet in a rectangular prism 9 feet long, 4 feet tall and 1 foot wide
Answer:
36 cubic feet
Step-by-step explanation:
1. know that the equation for volume is l*w*h
2. plug in all the information that is shown in the question. (9*4*1)
3. 9*4*1 is 36 so your answer is 36 cubic feet
Answer: 36 ft³
Step-by-step explanation:
You must apply the formula for calculate the volume of a rectangular prism, which is show below:
[tex]V=l*w*h[/tex]
Where l is the lenght, w is the width and h is the height.
Given the dimensions shown in the problem, you can substitute values into the formula shown above.
Therefore, you obtain that the volume of the rectangular prims is:
[tex]V=(9ft)(1ft)(4ft)\\V=36ft^3[/tex]
What is the inverse function of f(x)= 4- x/6
Answer:
[tex]f^{-1}(x) = 6(4-x) = 24-6x[/tex]
Step-by-step explanation:
Let [tex]y=f(x)[/tex] and swap x and y:
[tex]x = 4 - \frac{y}{6}[/tex]
Then, rearranging for y:
[tex]x+\frac{y}{6} = 4[/tex]
[tex]\frac{y}{6}= 4-x[/tex]
[tex]y= 6(4-x) = 24-6x[/tex]
Final answer:
Explaining the inverse function of a given function.
Explanation:
Inverse function of f(x) = 4 - x/6:
Replace f(x) with y: y = 4 - x/6.
Swap x and y: x = 4 - y/6.
Solve for y: y = 24 - 6x.
Choose Yes or No to tell if each equation is true.
2,000 km = 2 m Choose... Yes No
2,000 mm = 2 m Choose... Yes No
20 cm = 200 mm Choose... Yes No
20 m = 2,000 cm Choose... Yes No
Answer:
#1: No #2: Yes #3: Yes #4: Yes
Unit conversion is a way of converting some common units into another without changing their real value. Only b and c are the correct statements.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
a.) 2,000 km = 2m
No, since 1 km is equal to 1000 m, therefore, 2 m will not be equal to 2,000 km.
b.) 2,000 mm= 2m
Yes, since 1 m is equal to 1000 mm, therefore, 2000 mm will be equal to 2 meters.
c.) 20 cm= 200 mm
Yes, since 1 cm is equal to 10 mm, therefore, the 20 cm will have 200 mm.
d.) 20m = 2,000 cm
No, since 1 meter is equal to 100 cm, therefore, 20 m will not be equal to 2,000 cm.
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HELP ME!!!!!
Mike pays $0.02 in sales tax for every $1 that he
spends. If Mike buys $60 worth of items, what is
the total cost?
A $60.00
B $0.02
C $1.20
D $61.20
Answer:
1.20
Step-by-step explanation:
you multiply 0.02 by 60 usually 120 but 2 decimal points so move the decimal 2 to the left
Which description can be written as the expression 8/21n?
A the quotient of twenty-one times a number and eight
B the product of eight and twenty-one times a number
C the quotient of eight and twenty-one times a number
D the product of twenty-one times a number and eight
Answer with explanation:
We have to describe the rational number in words
[tex]=\frac{8}{21 n}[/tex]
Dividend =8
Divisor =21 n
Quotient
[tex]=\frac{\text{Dividend}}{\text{Divisor}}\\\\=\frac{\text{Eight}}{\text{Twenty one} \times \text{A number}}[/tex]
Option C: → The quotient of eight and twenty-one times a number
Point A is located at (-3, -6) and is reflected in the y-axis. What is the location of Point A'?
(3, -6)
(-3, 6)
(-6, -3)
(3, 6)
Answer:
(3, -6)
Step-by-step explanation:
The formula for reflecting across the Y axis is that the X axis value will become opposite, so the -3 becomes positive 3.
Answer:
(3, -6)
Step-by-step explanation:
When you reflect a point (x, y) in the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,
(-3, -6)⟶ (3, -6)
The image below shows the point before and after the reflection.
Determine whether the ordered pair is a solution of the liner inequality.
y + 3 is less than or equal to 2x
(1, 5)
(3, 4)
(4, –2)
(2, 5)
The given 3rd option is the viable answer.
Answer:
hello : (4, –2)
Step-by-step explanation:
because put : x = 4 and y = - 2 in the inequality y+3 ≤ 2x you have :
- 2 +3 ≤ 2(4)
1 ≤ 8 .... right
What is 8 7/8 in simplest form
Answer:
it's already in simplest form, as a decimal it would be 8.875
Step-by-step explanation:
The problem involves adding mixed numbers. First, convert them to improper fractions, add them up, and convert back to mixed numbers if possible. The first equation results in [tex]5\frac{1}{2}[/tex] while the second results in [tex]8\frac{7}{8}[/tex].
Explanation:The student is asking this question in the context of addition of fractions. To tackle these problems, the first thing to do is to switch both numbers into improper fractions.
In equation 1,
[tex]4\frac{1}{6} +1\frac{2}{6} \\= \frac{25}{6} + \frac{8}{6} \\=\frac{33}{6} \\=\frac{11}{2} \\=5\frac{1}{2}[/tex]
In equation 2,
[tex]7\frac{4}{8} + 1\frac{3}{8}\\ =\frac{60}{8} + \frac{11}{8}\\ =\frac{71}{8}\\ =8\frac{7}{8}[/tex]
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The recipe for Jack's Famous Chili uses 222 teaspoons (\text{t})(t)left parenthesis, t, right parenthesis of red hot chili powder for each cup (\text{c})(c)left parenthesis, c, right parenthesis of tomato sauce.
His rival, Marsha, claims her chili is spicier. She makes chili in large quantities, and uses the chart below.
Whose chili is spicier?
Chili powder (\text{t})(t)left parenthesis, t, right parenthesis Tomato sauce (\text{c})(c)left parenthesis, c, right parenthesis
444 3.53.53, point, 5
888 7.07.07, point, 0
121212 10.510.510, point, 5
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Jack's
(Choice B)
B
Marsha's
(Choice C)
C
They are equally spicy.
The spiciness of chili is determined by comparing the proportion of chili powder to tomato sauce. Jack consistently uses 222 teaspoons of chili powder per cup of sauce, whereas Marsha's ratio varies, but never exceeds 126.86 teaspoons per cup. Therefore, Jack's chili is spicier.
Explanation:To determine whose chili is spicier, we must compare the ratio of chili powder to tomato sauce used by Jack and Marsha. Jack uses 222 teaspoons of chili powder for every 1 cup of tomato sauce. For Marsha, we'll have to establish the ratios based on her table.
When Marsha uses 444 teaspoons of chili powder, she uses 3.5 cups of tomato sauce. So, her ratio for this batch is 444/3.5 = 126.86 teaspoons of chili powder per cup of sauce.When Marsha uses 888 teaspoons her ratio is 888/7 = 126.86 teaspoons per cup.When she uses 1212 teaspoons, her ratio is 1212/10.5 = 115.43 teaspoons per cup.Regardless of the quantity she makes, Marsha's ratio never goes below 115.43, which is less than Jack's ratio of 222. So, Jack's chili is spicier than Marsha's.
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the diagram shows three different bicycle routes taken by Frank,alexis,and juan to get to the electronics store. Frank-8kilo Alexis-6kilo juan ? kilometers
Answer:
10 km
Step-by-step explanation:
8^2+6^2=10^2
Answer:
Juan traveled 10 km.
Step-by-step explanation:
is also right on EDGEN.
Which best describes the graphs of the line that passes through (0,2) and (6,4) and the line that passes through (2,1) and (5,7)?
Answer:
The line which has slope 1/3 is a shallow line.
The line which has slope 2 is a steep line.
Both are increasing.
Step-by-step explanation:
Compare the lines by finding the slope between each pair of points.
Using the slope formula, substitute the points.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{6-0} = \frac{2}{6} = \frac{1}{3}[/tex]
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{5-2} = \frac{6}{3} = 2[/tex]
The line which has slope 1/3 is a shallow line.
The line which has slope 2 is a steep line.
Will mark brainliest!❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
Subtract the sale price from the original price:
200 - 150 = 50.
Now divide the difference by the original price and then multiply that by 100:
50 / 200 = 0.25 x 100 = 25%
The discount is 25%
Help ASAP need the formula and the answer will give brainliest as well as 98 points
Answer:
its D. 456 in
Step-by-step explanation:
if u multiply 10 x 10 then u get 100. that same square is there twice so if u add it u get 200. then the only one greater than 100 is 456.
Answer:
the answer is d 456^in2
Step-by-step explanation:
hope this helps
52,940 written in expanded form
Answer:
Fifty two thousand nine hundred forty
Step-by-step explanation:
Thank you!!
Please mark this as the brainliest one!!!
What is the inverse of the function
f
(
x
)
=
−
1
2
(
x
+
3
)
f(x)=−
2
1
Answer:
f
−
1
(
x
)
=
2
x
+
6
?
f^-1(x)=2x+6 is the answer i believe
Answer:
−2x−3
Step-by-step explanation:
I don't know if right
A circle has an area of 153.86 units2 and a circumference of 43.96 units. If the radius is 7 units, what can be said about the relationship between the area and the circumference? (Use 3.14 for .) A. The ratio of the area to the circumference is equal to half the radius. B. The ratio of the area to the circumference is equal to twice the radius. C. The ratio of the area to the circumference is equal to the square root of the radius. D. The ratio of the area to the circumference is equal to the radius squared.
Answer:
Option A. The ratio of the area to the circumference is equal to half the radius
Step-by-step explanation:
we know that
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
The ratio of the area to the circumference is equal to
[tex]\frac{A}{C}=\frac{\pi r^{2}}{2\pi r}[/tex]
Simplify
[tex]\frac{A}{C}=\frac{r}{2}[/tex]
Verify
In this problem
[tex]A=153.86\ units^{2}[/tex]
[tex]C=43.96\ units[/tex]
[tex]\frac{A}{C}=\frac{153.86}{43.96}=3.5\ units[/tex]
and [tex]3.5\ units[/tex] is equal to half the radius
therefore
The ratio of the area to the circumference is equal to half the radius
Answer:
A: The ratio of area of circle to the circumference is equal to half the radius.
Step-by-step explanation:
We are given that area of a circle=153.86 square units
Circumference of circle=43.96 units
Radius of circle=7 units
We have to find that the relation ship between area of circle and circumference of circle
Area of circle=[tex]\pi r^2[/tex]
Circumference of circle=[tex]2\pi r[/tex]
Ratio of area of circle to the circumference=[tex]\frac{\pi r^2}{2\pi r}[/tex]
Ratio of area of the circle to the circumference of the circumference=[tex]\frac{1}{2} r[/tex]
Ratio of area to the circumference=[tex]\frac{153.86}{43.96}=\frac{7}{2}=\frac{r}{2}[/tex]
Hence, option A is true.
Answer:A: The ratio of area of circle to the circumference is equal to half the radius.
A group of students were asked whether they take French class, Art class, both classes or neither classes. The table shows the probabilities of the results
Art | Not Art | Total
French | 0.2 | 0.4 | 0.6
Not French | 0.35| 0.05 | 0.4
Total | 0.55 | 0.45 | 1.00
Let A represent taking French class and B represent taking Art class.
Which statement is true?
A. Taking Art class and taking French class are not independent events because P(A|B)=P(A) and P(B|A)=P(B) .
B. Taking Art class and taking French class are independent events because P(A|B)=P(A) and P(B|A)=P(B) .
C. Taking Art class and taking French class are independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .
D. Taking Art class and taking French class are not independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .<<<<<<<
Answer: D. Taking Art class and taking French class are not independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .
Step-by-step explanation:
We know that for dependent events A and B , the conditional probability of getting a given that B is given by :-
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]
From the given table, if A represent taking French class and B represent taking Art class.
Then P(A)=0.6
and P(B)=0.55
[tex]P(\cap B)=0.2[/tex]
Now, [tex]P(A|B)=\dfrac{0.2}{0.55}=0.036363\approx0.036[/tex]
[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}=\dfrac{0.2}{0.6}=0.33333\aprox0.333[/tex]
Clearly, [tex]P(A|B)\neq P(A)[/tex]
[tex]P(B|A)\neq P(B)[/tex]
Therefore taking Art class and taking French class are not independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .[ By definition of independent events]
The correct statement is D; Taking Art class and taking French class are not independent events.
Consider A represent taking a French class and B represents taking an Art class.
The formula to determine whether two events are independent or not is P(A and B) = P(A) x P(B),
where P(A and B) is the probability of both events happening together, P(A) is the probability of event A happening, and P(B) is the probability of event B happening.
D. Taking Art class and taking French class are not independent events because P(A|B)≠P(A) and P(B|A)≠P(B).
This statement is incorrect because the formula to determine whether two events are independent or not is;
P(A and B) = P(A) x P(B),
not P(A|B) ≠ P(A) and P(B|A) ≠ P(B).
Using the values in the table:
P(A) = 0.6 (taking French class)
P(B) = 0.55 (taking Art class)
P(A and B) = 0.2 (taking both classes)
P(A and B) ≠ P(A) x P(B)
0.2 ≠ 0.6 x 0.55
The correct statement is option D.
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How do I solve number 6?
Answer:
csc^2(theta)
Step-by-step explanation:
1 / cot^2(theta) = tan^2(theta)
=============
sec(theta) = cos(theta)
therefore sec(theta)*cos(theta) = 1/cos(theta) * cos(theta) = 1
==========
tan^2(theta) + 1 = y
One of the fundamental theorems of trigonometry is
tan^2(theta) + 1 = csc^2(theta)
The graph of an equation is shown below:
Based on the graph, which of the following represents a solution to the equation?
(−2,−3)
(2, 1)
(1, 2)
(−3, 2)
we just have to locate these coordinates on graph and see which one lies on line .
you will find option 4 lies on line so it's the one of the solution of line
Answer:
(--3,2)
The only (x,y) that is on the line is (-3,2)
the rest don't fit on the line.