The equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.
What is a quadratic equation?A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.In this equation, a is the coefficient of the highest term and c is the constant term.
The equations which has the leading coefficient of 3 and a constant term of –2 has to be find out.
The first equation given in the problem is,
[tex]0 = 3x^2 +2x - 2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the constant term is -2. Thus, this option is correct.
The second equation given in the problem is,
[tex]0 = -2 - 3x^2 +3[/tex]
Rearrange the equation as,
[tex]0 = -2 - 3x^2 +3\\0=-3x^2+1[/tex]
In this equation, the coefficient of the term which has the highest power is -3 and the constant term is 1. Thus, this option is not correct.
The third equation given in the problem is,
[tex]0 = 3x^2 +x +2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the constant term is 2. Thus, this option is not correct.
The fourth equation given in the problem is,
[tex]0 = -1x - 2 +3x^2[/tex]
Rearrange the equation as,
[tex]0=3x^2-1x-2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the continuant term is -2. Thus, this option is correct.
Hence, the equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.
Learn more about the quadratic equation here;
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a. 30
b. 86
c. 32
d. 79
Answer:
30°
Step-by-step explanation:
<KOL = <JOL - <JOK
= 58° - 28°
= 30°
What is the percent of increase from 4.2 to 9.5?
Answer:
126.19%
Step-by-step explanation:
Solve the equation. y 3 = –y 9 y = 1 y = 3 y = 6 y = 9
The solution of the equation is y = 3.
What is the linear equation?An equation between two variables that gives a straight line when plotted on a graph.
The solution to the equation is;
[tex]\rm y + 3 = -y + 9\\\\y+y=9-3\\\\2y=6\\\\y=\dfrac{6}{2}\\\\y=3[/tex]
Hence, the solution of the equation is y = 3.
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two children want to share 5 cupcakes so that each child gets the same amount. How many cupcakes should each child get
Answer:
2.5
Step-by-step explanation:
5 divided by 2 equals 2.5
can you answer it pls and by the way i am in 5th grade
Step-by-step explanation:
3×3 = 9, so it's greater than 3
3×4/3 = 4, so it's greater than 3
3×5/5 = 3, so it's equal to 3
3x4/9 = 4/3, so it's less than 3
3x5/6 = 5/2, so it's less than 3
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Answer:
30
Step-by-step explanation:
Perimeter of parallelogram = 70 ft
-> 2x + 2y = 70 .....(1)
x = 6y (Given) .....(2)
From equations (1) & (2)
2(6y) + 2y = 70
12y + 2y = 70
14y = 70
y = 70/14
y = 5
-> x = 6*5
-> x =30
This shape is called parallelogram.
perimeter : 2(base + height)
Identify the base and height
base : x ≈ 6(y) [ as x is 6 times as large as y ]
height : y
====================================
2(base + height) = perimeter2(6(y) + y) = 70 2(7y) = 707y = 35 [ divide both sides by 7 ]y = 5Find x:
x ≈ 6(y)x ≈ 6(5)x = 3040x40x40 divided by 6 Help me pls
Answer:
the answer is 10666.6666667.
Step-by-step explanation:
40*40*40=64000
64000/ 6=10666.6666667
I NEED THIS ASAP
five doctors are selected at random from a hospital employing 27 doctors to fill out a question
*WILL GIVE BRAINLIEST
Answer:
See below
Step-by-step explanation:
There are 27 C 5 ways to choose 5 doctors from 27
= 27 ! /(22! 5!) = 80730 ways to choose 5
This is a COMBINATION.
Answer: Combination
Step-by-step explanation: It has no order of selection. It is random and can't be paired like permutation.
Compare with another response
An urn of boiling water in an office has a capacity of 20litres. If it filled to maximum capacity, calculate the number of 250ml cups that can be shared from it.
HELPPPP HEL-P MEE ME
Answer:
208
Step-by-step explanation:
the formula is:
2*(width*lenght+height*lenght+height*width)
2*(6*8+4*8+4*6)
208
Answer:
208 m²[tex] \: [/tex]
Step-by-step explanation:
In the given figure, it is given a net of cuboid where, the length is 8m, the breadth is 6m and the height is 4m and we have to find the surface area of the cuboid.
So, the formula for finding the surface area is ;
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Surface\: area_{(cuboid)}=2(lb + bh + lh )}}}}}} \: \: \bigstar \\ \\[/tex]
Now, we'll substitute the values in the formula :
[tex]\\{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(8.6 + 6.4 + 8.4 }}}}}}) \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(48 + 24 + 32 }}}}}}) \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(104 }}}}}}) \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ { \pmb{ \frak{ { \: Surface\: area_{(cuboid)}=208 }}}}}}\: \: \\ \\[/tex]
Therefore,
The surface area of the cuboid is 208m²Someone solve number 8 pleaseeeee
Answer:
2 cats
Step-by-step explanation:
12% of 24 = 2.88
Answer:
2 cats were adopted.
Step-by-step explanation:
When finding a percentage of something, heres a trick. Just take the number you taking the perccentage of, and mutiply it by the percentage. In this case, 24*12.
24*12 = 288.
Now take that new number and divide it by 100. Now you have your answer. In this case,
288/100 = 2.88.
Becuase these are cats, we can't have or adopt half of one XD. You can't adopt half of a cat, so we round it down to 2. Meaning, 2 cats were adopted.
Felipe received a $15.25 gift card for a photo center. He used it to buy prints that cost 6 cents each. The remaining balance, B (in dollars), on the card after
buying x prints is given by the following
B = 15.25 -0.06x
What is the remaining balance on the card if Felipe bought 50 prints?
Can anyone help me ?
Answer:
12.25
Step-by-step explanation:
B = 15.25 -0.06x
B = 15.25 -0.06(50)
B = 12.25
Please help
I need the lateral surface area
Answer:
[tex]la = 588 \: \: {cm}^{2} [/tex]
Step-by-step explanation:
Lateral area for trapezoidal prism:
- Is the sum of all the areas excluding the base area.
la - Lateral area
[tex]a = 20\\ b = 10 \\ c = 10 \\ d = 9 \\ l = 12[/tex]
[tex]la = al + \: bl + \: cl + \: dl[/tex]
[tex]la = l(a + \: b + \: c + \: d)[/tex]
[tex]la = 12(20 + 10 + 10 + 9)[/tex]
[tex]la = 588 \: \: {cm}^{2} [/tex]
Half of the product of two consecutive numbers is 105. which equation can be used to solve for n, the smaller of the two numbers? n2 n – 210 = 0 n2 n – 105 = 0 2n2 2n 210 = 0 2n2 2n 105 = 0
The equation that can be used to solve for n, the smaller of the two numbers would be n² + n - 210 = 0.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
If we use n to be the smaller number of two integer numbers, then the next consecutive number is n + 1.
The product of those two numbers would become n × (n + 1) = n (n + 1).
Half of that product is n (n + 1) / 2.
And the question states that the equation is equal to 105, so the equation becomes,
n (n + 1) / 2 = 105
Now we have to simplify that equation until we get an expression equal to one of the choices,
Multiply both sides by 2
n (n + 1) = 210
n² + n = 210
Subtract 210 from both sides
n² + n - 210 = 0
Thus, the equation formed is the quadratic equation.
Learn more about quadratic equations;
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Answer:
n² + n - 210 = 0 is your answer! hope it helps!
Step-by-step explanation:
pls help answer
i dont not need explaination
:)
Answer:
165 km²
Step-by-step explanation:
First, let us find the area of the big rectangle.
Area = length × Width
Area = 15km × 13 km
Area = 195 km²
Now, let us find the area of the small rectangle.
Area = length × width
Area = 6 km × 5 km
Area = 30 km²
And now, let us find the area of the shaded region.
For that, we have to subtract the area of the small rectangle from the area of the big rectangle.
Area = 195 km² - 30 km²
Area = 165 km²
What is the vertex of g(x) = 3x2 − 12x 7? (−6, −5) (−2, −5) (2, −5) (6, −5)
The vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5), the correct option is C.
What is the vertex of the parabola?The vertex of a parabola is the highest or lowest point, also known as the maximum or minimum of a parabola.
The standard equation of the vertex of the parabola is;
[tex]\rm a(x - h)^2 + k[/tex]
Where h and k are the coordinates of the vertex of the parabola.
The given expression is;
[tex]\rm =3x^2 - 12x + 7\\\\= 3(x^2 - 4x) + 7\\\\ = 3[ (x - 2)^2 - 4)] + 7\\\\= 3(x - 2)^2 - 12 + 7\\\\= 3(x - 2)^2 - 5[/tex]
On comparing with the standard form of vertex of the parabola
h = 2 and k = -5
Hence, the vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5).
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CAN SOMEONE PLEASE HELP ME WITH THIS!! IMAGE BELOW
ILL GIVE YOU BRAINLIST ANSWER
Ms. Lawrence had $550 in her bank account. The next day she withdrew $120 to buy groceries. She deposited $200 two days later. Four days later she used her debit card to buy new shoes that cost $89. What was her bank account balance after these transactions? O A $541.00 O B $630.00 O c $430,00 D $670.00
option A
hope it really helps...!!!
Write an example problem(s) for area.
Answer:
Example 1.
A square with side lengths of 5.
5*5 = 25.
So the area would be 25 units ^2
Example 2.
A rectangle with a length of 9 and a width of 4
9*4 = 36
So the area is 36 units ^2
Answer:
A square with side lengths of 5.5*5 = 25.
Step-by-step explanation:
A company is promoting two employees to the director and manger roles. If there are currently 35 employees, how many ways can those positions be filled?
1785
1190
595
270
Answer:
595
Step-by-step explanation:
2 positions for 35 employees.
[tex]C(n) = (\frac{n}{k}) = \frac{n!}{(k!(n-k)!)}[/tex]
Where n = 35, total number of employees and k = 2, how many spots available
[tex]\frac{35}{2} = \frac{35!}{2!(n-k)!} = \frac{35*34}{2 * 1} = 595[/tex]
Answer:
595
Step-by-step explanation:
Quadratic Functions - Part 2
Graphing Quadratic Functions Using Vertex Form - Part 1
Independence Practice
1. Identify the vertex, complete the table and graph g(x) = (x – 4)^2 – 5.
2. Identify the vertex, complete the table and graph h(x) = (x + 1)^2 + 4.
Answer:
h(x) = (x + 1)^2 + 4/ 23+40 =49
Step-by-step explanation:
The step by step is on papamath.com
What is 11 in x 17 in (7.7 in x 23) in
33117.7 in is the answer I believe…
Answer:
33117.7
Step-by-step explanation:
33117.7 is the perfect answer
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Answer:
the given picture is not clear
The is a picture show all details and work
(triangles)
Answer:
x: 8.75
y: 8.5
Step-by-step explanation:
Since the two triangles are similar, you can find the scale of LJK relevant to TRS by dividing 7/4 = 1.75
This means each side of LJK is 1.75 times greater than the respective side of TRS
Now you can plug this in to the other two sides by doing 5*1.75=8.75 and 6*1.75=10.5
This solves x, but since side LK is y+2, y is 10.5-2=8.5
x=8.75
y=8.5
Can someone help me with this problem
d(4.4)
hope it really helps ...!!!
Factor the expression 4+28x using the GCF
Answer:
4(1+7x)
Step-by-step explanation:
There are 2 terms in this expression: Factorize them
4: 2 * 2
28x: 2 * 2 * 7 * [tex]x[/tex]
Which factors do both of the terms have in common?
2 and 2, which means that the GCF is 4.
Now to figure out whats inside the parentheses.
What number multiplied by 4 gives 4? 1
What number multiplied by 28x gives 4? 7x
So the final result is 4(1+7x)
par
-
129
2 A stew recipe calls for 3.75 pounds of meat. Jack wants to make 5 batches of stew.
How many pounds of meat does he need? Show your work.
Answer:
18.75 pounds
Step-by-step explanation:
3.75 pounds per 5 batches
batch 1 : 3.75 7.5
add them + + 7.5
batch 2: 3.75 = 15
= +3.75
7.5 = 18.75
hope this helped
batch 3: 3.75
add them +
batch 4 3.75
= 7.5
batch 5 3.75
The triangles are similar. Find the value of x.
Answer:
x = 36
Step-by-step explanation:
Remark
This can be done as a proportion. A proportion consists of 2 ratios which means it has 4 parts. If you know three of them, you can solve for the 4th.
We can use the following proportion
42/14 = x / 12 Notice that both ratios have tops and bottoms that use corresponding parts. Cross Multiply
14*x = 42 * 12 Combine the right
14x = 504 Divide by 14
x = 504/14
x = 36
find the area of the composite figure
Answer:
74 in²
Step-by-step explanation:
The easiest way to find the area is to imagine the rectangle as a whole rectangle, then subtract the area of the empty space.
The area of the whole rectangle can be found with:
A = b · h
A = 9 in · 11 in
A = 99 in²
So the area of the entire rectangle (with the empty space included) is 99 in².
In order to find the area of the composite figure, you need to subtract the area of the empty space, which can be found with:
A = b · h
A = 5 in · h
In order to find the height of the empty space, we can take the whole side (11 in) and subtract the values already there (4 in and 2 in).
11 in - (4 in + 2 in) = 5 in
So the height is 5 in:
A = 5 in · 5 in
A = 25 in²
The area of the composite figure is:
A = 99 in² - 25 in²
A = 74 in²
Answer:
Answer:74 in^2Step-by-step explanation:
My in-head skip solutioning method...:
the 4, 5__2,9___4,4,2__=10in.___5,4__=9in.
......__74
g(n) = 4n+ 3
f(n) =n +4
Find -5g (9) + 5f (9)
Answer: -130
Step-by-step explanation: