Answer:
a = 1, b = -2
Step-by-step explanation:
You are given values of x are 1 and 2 when the equation is 0
To solve the problem substitute the values of x into the equation
For x =1
1^2 + a(1) + b = 0
1 + a + b = 0
a+b = -1(call this equation i)
For x = -2
-2^2 + a(-2) + b = 0
4 - 2a + b = 0
-2a + b = -4 (call this equation ii)
Now solve equation i and ii simultaneously to get values of a and b.
a+b = -1
-2a+b = -4
By elimination method (also you can solve by substitution method) subtract equation ii from equation i, we get
3a = 3
Divide 3 both sides, you get
a = 1
Take the value of a above substitute it into either equation i or ii to get the value of b
Here i considered equation i
a + b = -1
1 + b = - 1
b = - 1 - 1
b = -2
Therefore a = 1, b = -2
Stacy bought gas for her car . Gas cost$143.54 per liter. Stacy bought 12.4 liters. What was the total cost for Stacy gas express the answer as dollars and cents
Answer:
$1779.896
Step-by-step explanation:
From the above question
1 liter = $143.54
12.4 liters = $x
Cross Multiple
1 liter × $x = 12.4 liters × $143.54
$x = 12.4 liters × $143.54/1 liter
$x = $1779.896
Therefore, the total cost for Stacy gas in dollars and cents is $1779.896
Hannah wants to simulate whether customers will choose a small, medium, or large drink, or no drink at a fast food restaurant.
Answer:
d. Some customers had more than one drink.
Step-by-step explanation:
The exact question is as follows :
Given - Hannah wants to simulate whether customers will choose a small, medium, or large drink, or no drink at a fast food restaurant. She decides to use digits from a random number table to represent the drink option a customer will order (0=no drink, 1=small drink, 2=medium drink, 3=large drink, ignore digits 4-9)
To find - Why does this NOT model the situation?
a. The choices are not equally likely to occur.
b. Some of the digits were ignored.
c. The choice are independent of each other.
d. Some customers had more than one drink.
Solution -
The correct option is - d. Some customers had more than one drink.
Reason -
If Customer order more than one drink, then also he has to order either of the digits.
So, Hannah can not be sure about the order that he wants single order or wants to repeat the order.
The mean of 4 5 6 7 8
Answer:
6Step-by-step explanation:
The mean of 4 5 6 7 8
there are 5 numbers in sequence, you can solve at a glance by looking at the number in the middle, or add the numbers and divide them by their number, in any case the answer will be 6
4 5 6 7 8 (6 is central)
or
(4 + 5 + 6 + 7 + 8) : 5 =
30 : 5 =
6
i need help with this pleaseee
Answer:
answer: 1/64 of 1.6%
Step-by-step explanation:
The answer is this because the probability of the spinner landing on green is 2/8 now that multiplied by itself 3 times equals 1/64 so 1/64 is the probability hope that helps!
Can someone please help me with this algebra
Solve for x. Leave your answer in simplest radical form.
15 ft
x
HELP PLS ):
Answer:
11 = x
Step-by-step explanation:
The tables show the prices for ordering team jerseys from two different companies. You can use the information to write ratios showing the relationship between the cost and the corresponding number of jerseys.
Company A: 1/5=5 25/5=5 50/10=5 75/15=5.
These ratios are all equivalent
This relationship is proportional.
company B: 5/1=5 20/5=4 40/10=4 69/15=4.
These ratios are not all equivalent.
This relationship is not proportional.
Is the ratio constant or varying for company B? Explain
When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.
Find the equivalent ratio by what method?Equivalent ratios are two ratios with the same value. By multiplying or dividing the two amounts by the same number, you can determine the equivalent ratio. Finding equivalent fractions follows the same procedure.
A ratio formula is what?The ratio formula can be used to represent a ratio as a fraction. The ratio formula is given as a:b = a/b for any two quantities, let's say a and b.
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Write the coordinates of the vertices after a rotation 90°
counterclockwise around the origin.
Answer:
see explanation
Step-by-step explanation:
under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
C (1, 9 ) → C' (- 9, 1 )
D (4, 9 ) → D' (- 9, 4 )
E (0, 3 ) → E' (- 3, 0 )
Twenty-four students brought their permission slips to attend the class field
trip to the local art museum. If this represented eight tenths of the class, how
many students are in the class? Use a bar diagram to solve arithmetically.
Then use an equation to solve algebraically.
Answer:
6 Students stayed in class
30 Students in Total
Step-by-step explanation:
Since there are 8/10 people on the trip, you divide the numerator(8) by 24
24 divided by 8 is 3. Also 3 x 8 is 24 so its proper
3 x 2 is 6 and 6 + 24 is 30
30 is 10/10 in this question so 6 is the answer for those who stayed in class and there is 30 in total
prove if the given triangles are similar. list the supporting reasons
Answer:
rreflextion across x the reflection across y
Side D and B are both congruent
Step-by-step explanation:
What is the degree of the polynomial 7x3 5x 4x5 2x2?
The degree of the polynomial as calculated from the given data7x³ + 5x + 4x⁵ + 2x² is 5 .
The given polynomial is 7x³ + 5x + 4x⁵ + 2x²
To find the degree of the polynomial we will write the equation down in the descending power of x
which is ,
4x⁵ + 7x³ + 2x² + 5x
Here , the highest power of the variable that appears with nonzero coefficient is 5.
So ,degree of the polynomial is said to be 5.
The hightest power of the variable in a polynomial is known as the degree of the polynomial. A polynomial expression is made up of constants and variables.
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aaaaaa. please help this is annoying AHAHAH
Answer:
Third one
−10×3−4
Step-by-step explanation:
-30-4
-34
Answer:
-10 · 3 - 4
Step-by-step explanation:
20 - (-3) + 51 ÷ (-3) = 20 + 3 + 51 ÷ (-3) = 20 + 3 - 17 = 6 no
-2 - (-8) + 7 + (-11) = -2 + 8 + 7 - 11 = 2 no
-10 · 3 - 4 = -30 - 4 = -34 yes!
-4 · (-3) + 22 = 12 + 22 = 34 no
Help asap!!!!!!!!!!!
Answer:
hi there I am Madhumita a good time to explore new ways of learning and smart ways of learning and smart ways of earning a living the good work he is there a way to get lost in the given equation of state for the diagram
A triangle has an area of 70 square kilometers and a height of 10 kilometers.what is the length of the base?
Answer:
14km
Step-by-step explanation:
Uri buys two burgers and a soda for $\$2.10$, and Gen buys a burger and two sodas for $\$2.40$. How many cents does a soda cost
The cost of soda as calculated from the data given is found to be as 0.9 cents.
the price of 1 burger = x
the price of 1 soda =y
Therefore, the equation for Uri and Gen becomes,
2x + y = $2.10
x+ 2y = $2.40
On solving these two equations we will get the value of x and y which represents their cost.
on multiplying equation 2 with 2 , we will get ,
2x + 4y = 4.80
Therefore , on subtracting equation 1 and 2 ,
2x + y = $2.10
- 2x + 4y = 4.80
=> -3y = - 2.7
=> y = 0.9
Therefore x will be ,
x+ 2y = $2.40
x+ 2(0.9) = $2.40
x + 1.8 = $2.40
x = 2.40 - 1.8
= 0.60
Therefore, cost of soda is 0.9 cents.
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Blair has a box of candy to sell. She has 4 chocolate bars, 4 fruit chews, 1 pack of bubble gum and 3 sour candies. If she chooses a piece of candy at random, how many possible outcome are there?
Answer:
12 possible outcomes
Step-by-step explanation:
The equation to find the possible outcomes is:
possible outcomes x total
We know she picks 1, so we have
1 x 12 = 12 possible outcomes
So, there are 12 possible outcomes
A six-foot long ladder is leaning against a wall. The bottom of the ladder is 3 feet away from the wall. How high up the wall is the ladder
The six-foot long ladder is 3√5 feet high up the wall having 3 feet distance from bottom of the ladder.
How to find height ?The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the ladder is the hypotenuse, and the wall and the ground make up the other two sides.
The ladder is 6 feet long, and the bottom of the ladder is 3 feet away from the wall, so the triangle is a 3-4-5 right triangle, which means the wall is 3 feet high.
So, if we square the length of the ladder (6^2 = 36)
The length of the base (3^2 = 9),
and add them together, then take the square root of that, we get the height of the wall.
sqrt(36+9) = sqrt(45) = 3*sqrt(5)
so the ladder is 3√5 feet high up the wall.
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please answer all 3 questions thank you~!!!!
Answer:
X of M is 6, Y of M is 4, Pair is (6,4)
Step-by-step explanation:
M = 6
M = 4
M (6,4)
One-fifth of a bread loaf was shared equally among Herb, Dara, Mark, and Lily. What fraction of the original bread loaf did each person get?
Using the provided values and information, The answer is each person would receive 1/5 of the original bread loaf.
What do you mean by proportion?A proportion is a mathematical statement that compares two ratios. It is an equation that states that two ratios are equal, such as "a/b = c/d." Proportions are often used to solve problems involving fractions, decimals, and percentages. For example, if you know that a particular recipe calls for two cups of flour for every one cup of sugar, you can use this proportion (2/1 = x/3) to figure out how much sugar you need if you want to triple the recipe. The proportion can also be written as 2:1 = x:3.
What do you mean by ratio?A ratio is a mathematical comparison of two or more quantities, typically represented as a fraction. It is a way to compare the size of two or more things. For example, if a recipe calls for 2 cups of flour to 1 cup of sugar, the ratio of flour to sugar is 2:1. This means that for every 2 units of flour, there is 1 unit of sugar. Ratios can also be written using the colon symbol (:) or the word "to". For example, the ratio 2:1 can also be written as 2/1 or 2 to 1. Ratios can be simplified by dividing both the numerator and denominator by a common factor and can be used to compare quantities in different units.
Each person would get 1/5 of the original bread loaf. If the bread is divided equally among four people, then each person would receive 1/4 of the total amount. Since 1/5 is the same as 4/20, and 4 people are receiving the bread, then each person would receive 1/5 of the original bread loaf.
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The table shows a linear function. What is the rate of change?
Hours
Pay
1
18
1.5
23
2
28
2.5
33
3
38
Answer:
rate of change = 5
Step-by-step explanation:
the slope m gives the measure of the rate of change of the function
calculate the slope m using the slope formula
m = [tex]\frac{y_{2-y_{1} } }{x_{2-x_{1} } }[/tex]
with (x₁, y₁ ) = (3, 38) and (x₂, y₂ ) = (1, 18) ← 2 ordered pairs from the table
m = [tex]\frac{18-38}{1-3}[/tex] = [tex]\frac{-20}{-2}[/tex] = 5
then rate of change = 5
Please help me with my HW
Answer:
24d^5
Step-by-step explanation:
What is the pattern?
Is horizontal the Y?
Yes, if the value of y = 0 then it makes the horizontal line.
The term horizontal line is defined as one that goes from left to right.
And here we also know that they are parallel to the x –axis in the coordinate plane.
And the horizontal line has a slope of zero.
While we looking into the move along the right of the line, then it does not rise or fall at all.
Here we have to the that the following factors are also included in feature:
In as the horizontal line is parallel to the x-axis and it is parallel to the horizon.
Where as the horizontal line is a sleeping line and it is also defined as can be a sleeping, standing, or a slanting line.
Where the horizontal line is perpendicular to the y-axis.
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Witch problem strategy would be the best to solve this problem?
Austin, Texas is two hours ahead of San Diego, California. If the time in
Austin is 1:00 P.M., what time is it in San Diego?
A) guess, check and revise
B) use a formula
C) work backwards
D) write an equation
Answer: C
Step-by-step explanation:
You would work backwards. So it would be 1:00-2 hours so the answer would be 11:00 A.M
Item 4 Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece is 2 ft less than 3 times the length of the shorter piece. How long will each piece of rope be
The length of the shortest piece is 5, and the longest piece is 13 feet by solving the equations.
The length of the shortest piece is 5, and the longest piece is 13 feet.
the solution is as follows,
Greg has a piece of rope that is 18 ft long.
He wants to cut it into two pieces so that the longer piece is 2 ft less than three times the length of the.
Let the length of the shorter piece be x.
And the length of the longer piece is 3x -2.
Greg has a piece of rope that is 18 ft long.
Then,
longest piece+ shorter piece = 18
x + 3x -2 = 18
4x - 2 =18
4x = 18+2
4x = 20
x= 20/4
x = 5.
Therefore,
The length of the shorter piece is x =5.
And the length of the longer piece = 3x -2 = 3(5)-2 = 15-2 = 13
Hence, the length of the shortest piece is 5, and the longest piece is 13 feet.
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Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
help please
A mirror is 8 inches by 15 inches. The distance between opposite corners of the mirror is ___ inches
Answer:
17
Step-by-step explanation:
8²+15²=289
√289=17
Remember, Pythagorean theorem
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
x ≥ 2
Step-by-step explanation:
the solid circle at 2 indicates that x can equal 2
the arrow points to the right indicating values of x greater than 2 , then the inequality being represented by the number line is
x ≥ 2
I need help please and thank you
Answer:
One possible equation is 2m+16 = 40
There are other possible equations to set up as well.
That equation solves to m = 12 which means both plans cost the same when you go 12 MB over the limit (using 27 MB total).
===============================================================
Explanation:
The unlimited plan costs $40 a month no matter how much data you use.
The second plan costs $16 a month, and there are no extra fees as long as you don't go over the limit of 15 MB. If you do exceed this limit, then you're charged an extra $2 per MB. That means an extra 2m dollars is tacked onto the 16 mentioned earlier, where m is the amount of MB you've gone over the limit. Overall, the expression 2m+16 represents the cost of the second plan. If you don't go over the limit, then you'll use m = 0 for the second plan.
Set that expression equal to 40 to set up the equation. Solving the equation leads to...
2m+16 = 40
2m = 40-16
2m = 24
m = 24/2
m = 12
If you exceed the limit by 12 MB, then both plans cost the same at $40 per month.
Note: Going 12 MB over the limit means you've used 15+12 = 27 MB.
What steps would you do to solve n/7+3 greater than or equal to -4?
Answer:
the answer is n ≥ -49
here are the steps for solving-
the problem Is like n/7+3 ≥ -4
1. First subtract 3 from both sides. After doing that, the inequation should be Like This:
n/7 ≥ -7
2. since 7 is in Division form, when it goes to RHS, You multiply.
So -7 times 7 Is -49
so the answer is n≥ -49