Answer:
[tex]f(x) = {x}^{2} + 4x - 1 \\ f( - 1) = {( - 1)}^{2} + 4( - 1) - 1 \\ = - 4 \\ { \boxed{f( - 1) = - 4}} \\ \\ f(1) = {(1)}^{2} + 4(1) - 1 \\ = 4 \\ { \boxed{f(1) = 4}}[/tex]
Select the equation that is parallel to: y = -4x + 5
A. y = 4x - 5
B. y = 1/4x - 5
C. y = -1/4x - 5
D. y = -4x - 5
Answer:
D.
[tex]y = - 4x - 5[/tex]
Step-by-step explanation:
This is because the slopes are the same
How many solutions exist for the given equation?
3(x – 2) = 22 – x
Answer:
One solution
Step-by-step explanation:
3(x – 2) = 22 – x
Distribute
3x - 6 = 22 -x
Add x to each side
3x-6+x = 22-x+x
4x -6 =22
Add 6 to each side
4x-6+6 = 22+6
4x = 28
Divide by 4
4x/4 = 28/4
x = 7
Answer:
One solution
Step-by-step explanation:
Solve for x to determine how many solutions it has
3(x - 22) = 22 - x
Distribute the 3
3x - 66 = 22 - x
Add x to both sides
4x - 66 = 22
Add 66 to both sides
4x = 88
Divide both sides by 4
x = 22
The equation has only one solution, the solution being 22
The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116.
Answer:
10 and 42
Step-by-step explanation:
The difficulty with word problems is translating them into math.
Let's do that
---------------------
The sum of a number and two times a smaller number is 62.
let's call the bigger number b, and the smaller number s
b + 2s = 62
Three times the bigger number exceeds the smaller number by 116
3b = s + 116
-----------------------
Now manipulate one of the equations to isolate the variable
3b = s + 116
Subtract 116 from both sides
3b - 116 = s
substitute for s = 3b - 116 in
b + 2s = 62
b + 2(3b - 116) = 62
Distribute
b + 6b - 232 = 62
combine like terms
7b = 294
Divide both sides by 7
b = 42
to find s plug in b = 42 into
b + 2s = 62
42 + 2s = 62
subtract 42 from both side
2s = 20
divide both sides by 2
s = 10
A.step 1
B.step 2
C.step 3
D.step 4
Please help
Answer:
Step 3
Step-by-step explanation:
£100 is deposited in a bank paying 2.25% simple interest per annum. How much interest will have been paid after 5 years?
Answer:
£11.25
Step-by-step explanation:
The formula to calculate simple interest is given as:
Simple Interest = Principal × Rate × Time
Principal = Amount deposited in the bank = £100
Interest rate = 2.25%
Time in years = 5 years
Hence,
Simple Interest = £100 × 2.25% × 5
= £11.25
Therefore, the interest that will have been paid after 5 years is £11.25
CAN YOU PLS HELP ME WITH THIS I NEED THIS NOW!! I WILL GIVE BRAINLY TO BEST ANSWER THANK YOU!!
A rental car agency has 2 car rental plans. When will Plan A cost more than Plan B?
Plan A: $35 a day plus a fee of $32
Plan B: $25 a day plus a fee of $68
Write an inequality that expresses this real-world scenario.
Answer:
35d+ 32 > 25d+68
Step-by-step explanation:
Plan A: $35 a day plus a fee of $32
35d+ 32
Plan B: $25 a day plus a fee of $68
25d+68
We want to know when A costs more than B
35d+ 32 > 25d+68
Ethan is installing a new tile backsplash in his kitchen. The tile he likes costs $3.50 per square foot. The area he is tiling is 36.5 square feet. How much will Ethan pay for the tile for his backsplash?
Answer:
$127.75
Step-by-step explanation:
Multiply the cost by the area to find the total cost
Footlocker was selling Jordans. They bought the Jordan from Nike for $35. They bought 200 pairs of shoes. They sold the Jordans in their stores to the customers for $180. They sold out on the first day. How much did they make/Collect? What was their total expenses? What was their profit?
Answer:
I don't know what to say to someone who is a high school diploma Android to the other side of the kingdom of the crystal skull and bones
PLEASE HELP ASAP,
I'LL MARK BRAINLIEST FOR CORRECT ANSWERS!
Describe in words the process of solving for x in triangle ABC.
Answer:
29.11
Step-by-step explanation:
This is clearly cos. So make an equation of cos equals 9 / x. Then use cross product to get x times cos equals 9. Finally divide by cos and use the calcuator to get x equals 29.11.
Find a parabola with equation y=ax^2+bx+c that has a slope 10 at x=1, slope -26 at x=-1, and passes through the point (2,29)
9514 1404 393
Answer:
y = 9x^2 -8x +9
Step-by-step explanation:
The given equation has derivative ...
y' = 2ax +b
The requirements on slope give rise to two equations:
2a(1) +b = 10
2a(-1) +b = -26
Adding these equations together gives ...
2b = -16 ⇒ b = -8
Then we have ...
2a -8 = 10
a = (10 +8)/2 = 9
__
The given point lets us find the constant term c.
y = 9x^2 -8x +c
c = y -(9x -8)x = 29 -(9(2) -8)(2) = 29 -20 = 9
The equation of the parabola is ...
y = 9x^2 -8x +9
116,02 LC)
Which of the triangles shown are obtuse triangles? (2 points)
A. Triangle A and Triangle B
B. Triangle B and Triangle D
C. Triangle C
D. Triangle A, Triangle B, and Triangle C
Answer:
Trangle B and D
Step-by-step explanation:
They look more than 90 degrees
4 1/2 ounces per 3/4 miles
_____ ounces per 1 mile
Answer:
6 ounces
Step-by-step explanation:
Create a proportion where x is the number of ounces per 1 mile:
[tex]\frac{4.5}{0.75}[/tex] = [tex]\frac{x}{1}[/tex]
Cross multiply and solve for x:
4.5 = 0.75x
6 = x
So, the answer is 6 ounces
6 ounces
Step-by-step explanation:
Let the unknown number be x
[tex]4 \frac{1}{2} \: \: ounces = \frac{3}{4} \: \: miles \\ x = 1 \: \: mile[/tex]
Now simply use cross multiplication to solve it
[tex]4 \frac{1}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} = \frac{3x}{4} \\ [/tex]
Now make x as the Subject
[tex] \frac{9}{2} = \frac{3x}{4} \\ \frac{9 \times 4}{2 \times 3} = x \\ \frac{36}{6} = x \\ 6 = x[/tex]
So the answer is
6 ounces
The difference of two trinomials is x square - 10x+2. If one of the trinomials is 3x squared -11x-4, then which expression could be the other trinomial?
Answer:
4x²+21x-2
(OR)
2x²-x-6
Step-by-step explanation:
According to the Question,
Given, The difference Between two trinomials is x²-10x+2 & If one of the trinomials is 3x²-11x-4.
Let, Two Trinomials are P(x) = A & Q(x) = 3x²-11x-4
Then, P(x) - Q(x) = x²-10x+2
Put Value, We get
A - (3x²-11x-4) = x²-10x+2
A = x²-10x+2 + (3x²-11x-4)
A = x²-10x+2 + 3x²-11x-4
A = 4x²+21x-2
(OR)
If we Let, Two Trinomials are Q(x) = A & P(x) = 3x²-11x-4
Then, P(x) - Q(x) = x²-10x+2
Put Value, We get
(3x²-11x-4) - A = x²-10x+2
A = 3x²-11x-4 - (x²-10x+2)
A = 3x²-11x-4 - x²+10x-2
A = 2x²-x-6
How many fifths are there in 6
Answer: 30
Step-by-step explanation:
there are 5 fifths in 1 hinting the name fifths
So that means there are 30 fifths in 6
evaluate 3ac - a + 2b, if a=2, b=1 and c=4 pls help me thk u
A theater group bought supplies to construct the
hardware cost $17.63.
to construct the set of a play. Lumber cost $145.86, paint cost $52.91, and
(c) What percent
of the total cost was the cost of the
Text
decimal rounded to the
paint and the hardware? Write your answer as a
nearest thousandth. Show
Show your work.
Answer:
Step-by-step explanation:
17.63+145.86+52.91=206.40
i have no clue what you really need the question is unclear
anyone can tell that how to find the angles like <abc <bca like this
here is the photo
Answer:
Here
Step-by-step explanation:
So, AKH would be also 65 as well as AKX
Simplify the expression. 4^0
be careful i think this is a trick question
Answer:
1
Step-by-step explanation:
4^0
Any number raised to the 0 power is 1.
Answer:
1
Step-by-step explanation:
Anything raised to 0 is 1.
A jar contains five red marbles and three green marbles. A
marble is drawn at random and not replaced. A second marble is
then drawn from the jar.
find the probability that both marbles are the same color
Answer:
I figured out that the probability that both marbles are red is 20/56 and the probability that both are green is 6/56. Then I added them together to get 26/56.
Hope this answer is right !
need help with these!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Use the chart to multiply the binomial by the trinomial.
The expression (y + 3)(y squared minus 3 y + 9) is shown above a blank table with 3 columns and 2 rows.
What is the product?
y3 + 27
y3 – 27
y3 – 6y2 + 27
y3 + 6y2 + 27
Answer:
A. y^3 + 27
Step-by-step explanation:
Ed22
Answer: A. y3+27
Step-by-step explanation:
3/4x × 12/11 ÷ 3x/22
Answer:
242/48
Step-by-step explanation:
What are the vertices of the resulting image A'B'C'D'E' after rotating the figure 90° about the origin? ty A 4 B 2. E D 0 0 N 4
Answer:
A (5,4)
B (5,3)
C (6, 3)
D (2,0)
E (2,1)
Step-by-step explanation:
If the figure is rotated about the origin by 90 degrees, then the values of the co-ordinates of all the vertices will be as follows -
A (5,4)
B (5,3)
C (6, 3)
D (2,0)
E (2,1)
a study is planned to compare the proportion of men who dislike anchovies with the proportion of women who dislike anchovies. the study seeks to determine if the proportions of men and women who dislike anchovies are different. a sample of 41 men was taken and the p^ estimate for the true proportion of men who dislike anchovies was determined to be 0.67. a sample of 56 women was also taken and the p^ estimate for the true proportion of women who dislike anchovies was determined to be 0.84. are the requirements satisfied to perform this hypothesis test
Answer:
d. No because n·(1 - [tex]\hat p[/tex]) = 8.96 is less than 10
Step-by-step explanation:
Question options;
a. Yes because the sample sizes of both groups are greater than 5
b. Yes, because in both cases n·[tex]\hat p[/tex] > 10
c. Yes, because we know that the population is evenly distributed
d. No, because the n·(1 - [tex]\hat p[/tex]) is less than 10
Explanation;
The given data are;
The number of men in the sample of men, n₁ = 41
The proportion of men who dislike anchovies, [tex]\hat p_1[/tex] = 0.67
The number of women in the sample of women, n₂ = 56
The proportion of men who dislike anchovies, [tex]\hat p_2[/tex] = 0.84
The assumptions for an analysis of the difference between means using a T-test are;
1) The data should be from a random sample of the population
2) The variables should be approximately normal (n·[tex]\hat p[/tex] ≥ 10, and n·(1 - [tex]\hat p[/tex]) ≥ 10)
3) The scale of the data is a continuous ordinance scale
4) The sample size should be large
5) The sample standard deviations should be approximately equal
From the requirement for normality, we have;
For the sample of men, n₁·[tex]\hat p[/tex]₁ = 41 × 0.67 = 24.47 > 10
n₁·(1 - [tex]\hat p[/tex]₁) = 41 × (1 - 0.67) = 13.53 > 10
For the sample of women, n₂·[tex]\hat p[/tex]₂ = 56 × 0.84 = 47.04 > 10
n₂·(1 - [tex]\hat p[/tex]₂) = 56 × (1 - 0.84) = 8.96 < 10
Therefore, the for n₂·(1 - [tex]\hat p[/tex]₂), the sample does not meet the requirement for normality
The correct option is d. No because n₂·(1 - [tex]\hat p[/tex]₂) = 8.96 is less than 10
Simplify the expression. 7(-2-7k) +4 Show all work below
(yo please help me im failing math and I have 1 day left of school. ;-;)
==================================================
Work Shown:
7(-2-7k) + 4
7(-2) + 7(-7k) + 4
-14 - 49k + 4
-49k + (-14+4)
-49k - 10
In the second step, I distributed the outer 7 to each term inside. From there, I grouped and combined like terms, which were the -14 and 4.
y-(-4) =m(x-(-5)) solve for m
Answer:
m = [tex]\frac{y+4}{x+5}[/tex]
Step-by-step explanation:
y-(-4) = m(x-(-5))
Simplify, distribute the negative sign outside of the parenthesis, remember negative times negative equals positive
y + 4 = m (x + 5)
Inverse operations, divide the equation by the value inside of the parenthesis
[tex]\frac{y+4}{x+5}[/tex] = m
Answer:
m=y+4x/x+5 your welcome !!
The amount of ice cream dispensed from a machine at an ice cream shop is normally
distributed. If the machine is used 800 times in a day, how many times did the
machine dispense an amount that falls within three standard deviations from the
mean amount?
A 798
B 760
C 544
D 267
how do you ifnd circumfranceof citlve
Answer:
The formula of the circumference of the circle
[tex]C =\pi D[/tex]
Step-by-step explanation:
To find the circumference of the circle follow the given steps.
1. Take a thread.
2. Fix one end of the thread at one point of the circle.
3. Move the thread along the length of the circle.
4. You reach the same fix end.
5. Measure the length of the thread.
6. It is the circumference of the circle.
The formula of the circumference of the circle
[tex]C =\pi D[/tex]
where D is the diameter of the circle.
help please need to get this in today will mark brainlist
Answer:
acute
Step-by-step explanation:
it is acute because it is less than 90 degrees
Graph the image of the figure using the transformation given.
Answer:
B
Step-by-step explanation:
The question says reflection across y = 1 so first find this line on the graph. It will be a horizontal line.
The Y axis is the vertical axis and so the 1 is the line right above the X axis.
So to reflect, it will be the same number away from the line when reflected as when it began on the opposite side of the line. So, S is one under the reflection line so it will be one above making its new point ( 2 , 2 )
Q is right on the line so it will not move.
R is two above the line so it will now be two below the line to have ( 3 , - 1 )