Step-by-step explanation:
f(-1)=-42(-1)+3....placing -1 in x
f(-1)=42+3
f(-1)=45
75% of students were boys. there 18 boys in the class wht is the total number of students
Answer:
the answer is 24.
Step-by-step explanation:
Thrice a number decreased by 5 exceeds twice the number by a unit find the number
With steps please
25. The width of a rectangle is (x+1) and the length is (X-6). What is the length and width of the rectangle if the area is
30 square feet?
Answer:
x=−4 or x=9
Step-by-step explanation:
1- As we know the formula for Area of rectangle = length x width
2- Multiply given width = (x+1) with length = (x-6)
3-Equation will be (x+1)(x-6) = 30
4- Solving x^2−5 x−6 = 30
5- x^2−5 x -36 = 0
6-Factor left side of equation.
(x+4)(x−9)=0
Set factors equal to 0.
x+4=0 or x−9=0
Answer:
length = 3 width = 10
Step-by-step explanation:
Find three consecutive even integers such that the sum of the squares of the first two is four less than twice the square of the third.
Answer:
the three consecutive even integers are -2, 0, 2
Step-by-step explanation:
Let the first even integer = n
Let the second even integer = n + 2
Let the third even integer = n + 4
From the given statement, we form the equation below
(n²) + (n + 2)² + 4 = 2(n + 4)²
Expand this equation;
n² + (n + 2)(n + 2) + 4 = 2(n + 4)(n + 4)
n² + n² + 2n + 2n + 4 + 4 = 2(n² + 4n + 4n + 16)
2n² + 4n + 8 = 2(n² + 8n + 16)
2n² + 4n + 8 = 2n² + 16n + 32
collect like terms together;
2n² - 2n² + 4n - 16n = 32 - 8
- 12n = 24
-n = 24/12
-n = 2
n = -2
Second integer = n + 2
= -2 + 2 = 0
Third integer = n + 4
= -2 + 4
= 2
Therefore, the three consecutive even integers are -2, 0, 2
The three consecutive even integers are -2, 0, 2
The calculation is as follows:
Let us assume the first even integer = n
Let us assume the second even integer = n + 2
Let us assume the third even integer = n + 4
Now
[tex](n^2) + (n + 2)^2 + 4 = 2(n + 4)^2\\\\n^2 + (n + 2)(n + 2) + 4 = 2(n + 4)(n + 4)\\\\n^2 + n^2 + 2n + 2n + 4 + 4 = 2(n^2 + 4n + 4n + 16)\\\\2n^2 + 4n + 8 = 2(n^2 + 8n + 16)\\\\2n^2 + 4n + 8 = 2n^2 + 16n + 32\\\\2n^2 - 2n^2 + 4n - 16n = 32 - 8\\\\- 12n = 24[/tex]
n = -2
Now
Second integer = n + 2
= -2 + 2 = 0
And,
Third integer = n + 4
= -2 + 4
= 2
Learn more: brainly.com/question/17429689
There are 3 boxes the 1st Box contains the letters MATH the 2nd Box contains the letters AND the 3rd Box contains the letters HISTORY every Box is chosen at random and then a letter is drawn out at random from the Box what is the probability that the outcome is the letter A
Answer:
2/14
Step-by-step explanation:
There are 14 letters in all of the boxes combined and only 2 of those letters are A.
A recipe requires 1/4 of a cup of cranberries for 1 batch of scones how many batches of scones can be made using 6 1/2
Answer:
26
Step-by-step explanation:
6 times 4 =24 then 4/1 times 1/2 = 4/2 equals 2 and then you add 2 to 24 and that is 26.
Answer:
26
Step-by-step explanation:
If 1/4 of a cup of cranberries and make 1 batch, and there are four 1/4 cups in a whole cup, then 1 cup of cranberries can make 4 batches of scones.
By that same logic, there are two 1/4 cups in 1/2 a cup, so 1/2 cup of cranberries can make 2 batches of scones.
So, with the knowledge that 1 cup of cranberries makes 4 batches of scones, 6 cups of cranberries can make 6 x 4 = 24 batches, and adding on 1/2 cup gives us 2 more batches for a total of 24 + 2 = 26 batches.
A fishing hook is at an elevation of −12 m relative to sea level. Half an hour later, the fishing hook's elevation increases by 12 m. Which equation represents this situation?
Answer:
[tex]-12m + 12m =0[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Position = -12m[/tex]
[tex]Rise = 12m[/tex]
Required
Represent as an equation
The new position of the hook is calculated by:
[tex]New\ Position = Initial\ Position + Rise[/tex]
This gives:
[tex]New\ Position = -12m + 12m[/tex]
[tex]New\ Position = 0[/tex]
Hence, the equation is:
[tex]-12m + 12m =0[/tex]
Siena draws a map of her flower garden. She wants to plant roses 6 feet away from the marigolds and 5 feet away from the lavender. Where should Siena plant the roses?
(–2, 3)? or (–2, 4)? or (–3, 2)? or (3, –2)?
Answer:
The answer would be (3,-2)
Step-by-step explanation:
At the location of (3,-2), if you went upwards 6 units, you would be at the Marigolds. If you went to the left 5 units, you would be at the Lavender. Therefore, (3,-2) is the correct answer.
Kimberly makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of her conjecture?
Answer:
third choice : Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.
You’re welcome ;)
5x +y=8
2x +y = 32
how do i solve this using the system of elimination? (only using + and -) helppp
write the interval expressing all real numbers less than or equal to 0 or greater than or equal to 1 using interval notation.
Answer:
The requited interval is:
(-∞, 0] U [0, ∞)Step-by-step explanation:
We have to write two intervals in our case:
The first interval must highlight all real numbers less than or equal to 0.
Therefore,
This interval starts at -∞ and ends at 0, which is written as: (-∞, 0]
The second interval must highlight all real numbers greater than or equal to 0.
Therefore,
This interval starts at 0 and ends at ∞, which is written as: [0, ∞)
But, we have to combine these two sets. We can achieve this by placing the union symbol 'U' between the two intervals.
Therefore, the requited interval is:
(-∞, 0] U [0, ∞)PLEASE HELP ME QUICK
Lori tosses a ball into the air. The equation y = –16(x – 1)2 + 25 models the height, y, in feet, of the ball after x seconds. What is the maximum height the ball reaches?
1 ft
9 ft
16 ft
25 ft
Answer: D. 25 ft
Step-by-step explanation:
When graphing a parabola in the format [tex]y = a(x-h)^2+k[/tex], know that:
if a is positive, the parabola points upwards (meaning that there is only a minimum value, no maximum exists) if a is negative, the parabola points downwards (there is a maximum, but no minimum)You can try playing around with these values on a graphing calculator like Desmos!
In both cases, k would be the minimum or maximum value.
For this problem, k = 25. So, the maximum is 25 ft.
Additional information:
the parabola equation is in vertex form, so (h, k) is the vertex
1. Connie had 5 marbles. Jim gave her 8 more marbles. How many does Connie have all
together?
Answer:
Connie has 13 marbles in total.
Step-by-step explanation:
5+8=13
Answer:
Connie's 5 marbles + Jim's 8 marbles = 13 Total Marbles that Connie now has.
Find the area of this Parallelogram.
Verify the identity 1 - sin^2 x cot^2 x = sin^2 x. Is there more than one way to verify the identity? If so, tell which way you think is easier and why.
Answer:
the given identity is true.
Step-by-step explanation:
this identity may be verified using several ways, the simpliest is:
1-sin^2xcot^2x=sin^2x;
[tex]1-sin^2x*\frac{cos^2x}{sin^2x}=sin^2x;[/tex]
1-cos^2 x=sin^2 x;
sin^2 x= sin^2 x.
A diagonal of a television screen measure 30 inches. The screen is 18 inches tall,as shown. which expression is equal to the length of the television screen in ,inches
Answer:
24 inches
Step-by-step explanation:
The television is a rectangular screen, the diagonal represents the hypotenuse side while the length and height are the adjacent and opposite side in no particular order hence we can use Pythagoras theorem to find the length.
Recall that the theorem states that
opposite side^2 + adjacent side^2 = hypotenuse side^2
let the length of the television screen be L
L^2 + 18^2 = 30^2
L^2 + 324 = 900
L^2 = 900 - 324
L^2 = 576
L = √576
= 24 inches
Answer the question below* 1 point A grocery store offers a service where customers can place an order and have their groceries delivered to their home for an additional fee. The equation y = 1.1x can be used to find y, the total cost in dollars for x, the grocery cost in dollars. Arlyn has groceries delivered for a total cost of $119.90. He says his grocery cost must be $108.90. Is Arlyn correct? Explain your reasoning. Yes O No
Answer:
No.
Step-by-step explanation:
For starters, it says the representation of the grocery cost is x, but we have the equation y=1.1x. So, because 1x+0.1x=1.1x, we can infer that 0.1x is equal to our delivery cost, which we can call z.
Now we have two equations. y=x+z, and z=0.1x.
For this problem, we don't necessarily have to find the actual cost: just prove whether or not Arlyn is correct or incorrect by plugging in numbers for variables. So we can plug in our values of 119.90 (total value) and 108.90 (supposed grocery cost value) into our equations.
We now have 119.90=108.90+z, and z=0.1(108.90). First we can compute z=0.1(108.90). Since we know multiplying by 0.1 is the same as multiplying by 1/10, it's easy to get 108.90/10, which is 10.89. Now we can substitute 10.89 into our second equation for z, to get 119.90=108.90+10.89, where you get 119.90=119.79, which is not true. Therefore, Arlyn is incorrect, because $119.79 is not equal to $119.90.
Write a system of equations to describe the situation. Then solve the system.
Be sure to define your variables
Rizzo has $1.50 less in his piggy bank than his sister Shonda. If Shonda had $9 more, she would have three times as much money as Rizzo. How much money do each of the children have in their banks?
Answer:
Shonda has ( x )dollars in her piggy bank.
Rizzo has ( x-1.50 )
if Shonda has $9 more than x; (x+9),would be equal to
3 times the dollars Rizzo has, or, 3(x-1.50). The two quantities are equal, we can solve for x.
x+9 = 3(x-1.50)
Dustribute the 3
x+9 = 3x - 4.50
Isolate the variable on the left and constants on the right of the equation by subtracting 3x and 9 from both sides.
x+9 = 3x - 4.50
-3x-9 = -3x - 9
-2x = - 13.50
Divide both sides by - 2
Shonda has; x = 6.75
Rizzo has; (6.75 - 1.50) = 5.25
6.75 + 9 = 3(6.75 - 1.50)
15.75 = 3(5.25) or 15.75.
Passes the check.
Shonda has $6.75 in her piggy bank and Rizzo has $5.25.
In Mrs. Harrelson's English class, 15 out of 25 students made an "A" on their research paper, and 5 students made a "B." What decimal represents the portion of students that made at least a "B" on the research paper?
Answer:
0.2 tehe
Step-by-step explanation:
Plant Type Number tomato 8 squash 4 cucumber 16 rosemary 22 he The table above shows the number of each type of plant in Robert's garden. What is the ratio of the total number of plants in Robert's garden to the number of tomato plants? OA. 25:2 OB. 25:8 OC. 25:4 OD 23:2
Answer:
C. 25:4
Step-by-step explanation:
Total number of plants in Robert's garden = 8 + 4 + 16 + 22
= 50
Number of tomato plants in Robert's garden = 8
Ratio of total number of plants to the number of tomato plants = 50 : 8
Simplify
50 : 8 = 25:4
PLEASE HELP IM GONNA FART HELP ME what is the prime exponent form of 192
Answer:
2^6 * 3
Step-by-step explanation:
Answer:
2^6x3
Step-by-step explanation:
its 2 to the power of 6. Then multiply it by 3
Metals Inc. needs 20 tons of iron, 15 tons of copper, and 8 tons of zinc to fill as particular order. They have two type
of are available. Type A, which contains 15% iron, 5% coper, and 2% zinc costs $30 per ton. Type B which contains
10% iron, 10% copper, and 8% zinc costs $40 per ton. How much of each type should they use to minimize the cost?
What is the minimum cost?
Answer:
see the photos
Step-by-step explanation:
I have given the answer
stephanie invests $3,991 in a retirement account with a fixed annual interest rate of 6% compound continuously. What will the account balance be after 13 years?
Answer:
7103.98
Step-by-step explanation:
1) 3991 × 6% = 239.46 intrest rate of a year
2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs
3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs
On a map, 1 cm = 5 km. The distance between the shopping mall and the movie theater measures 6.7 cm. What is the actual distance between the mall and movie theater?
Answer:
33.5 km
Step-by-step explanation:
If 1cm = 5km, then you multiply 6.7 by 5 to get distance, which would be 33.5 km.
(hope this helps :P)
Answer:
33.5 km
Step-by-step explanation:
1/5 = 6.7/x
cross multiply and solve
5 × 6.7 = 33.5
Which Statement is True?
Answer:
D or last one
Step-by-step explanation:
Examine the following graph of y=1/4x+2 Created using GeoGebra If the point (-4, b) is on this line, what is the value of b? Enter your answer
Answer:
1
Step-by-step explanation:
it's given that x=-4
so
y=¼×-4+2
y=-1+2
y=1
therefore
b=1
you can see similar question in my profile
I need help with this it’s timed
Answer:
Option 3
Step-by-step explanation:
The coordinates match it
1 2/5 as a fraction.
Answer:
7/5
Step-by-step explanation:
Use the backwards C:
5 times 1 = 5
5 + 2 = 7
7/5
Answer:
7/5is the answer, hope this helps you out!
HELP PLEASE. I ONLY HAVE 25 MINUTESSS..
Answer:
D, 42
Step-by-step explanation:
Answer: D) 42
Step-by-step explanation:
Which phrase represents the expression 3x +9
Answer:
three multiplied by a number + 9
Step-by-step explanation:
