Answer:
C
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= - 4x² - 6x - 1 + (- x² - 5x + 3) ← remove parenthesis
= - 4x² - 6x - 1 - x² - 5x + 3 ← collect like terms
= - 5x² - 11x + 2 → C
The graph of y = ax2 + bx + c is a parabola that opens up and has a vertex at (0, 5). What is the solution set of the related equation 0 = ax2 + bx + c?
Answer:
The equation 0 = ax2 + bx + c has no real roots or no solution.
Step-by-step explanation:
We are told that the graph of y = ax2 + bx + c is a parabola that opens up and has a vertex at (0, 5). Since the parabola opens up, the vertex (0, 5) will be the lowest point on the graph of the function. This implies that the parabola does not intersect the x-axis; the line y = 0. Therefore, the equation;
0 = ax2 + bx + c will have no real roots or no solution. Find the attached.
S=_ft ?? Please also tell me how to do it
Answer:
[tex]70ft^2[/tex]
Step-by-step explanation:
Surface area is the sum of all sides of the area. Since it is a rectangular prism, each surface area will be multiplied by two to account for the opposite side (ex. top and bottom are the same area).
The front/back area is [tex]1*11[/tex] or 11. So the sum of the areas is 22.
The right/left area is [tex]2*1[/tex] or 2. So the sum of the areas is 4.
The top/bottom area is [tex]2*11[/tex] or 22. So the sum of the areas if 44.
We add these together to find the surface area.
[tex]22+4+44=70[/tex]
The surface area is [tex]70ft^2[/tex]
If x varies directly as y, and x = 7.5 when y = 10, find x when y = 4
[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \stackrel{\textit{"x" varies with "y"}}{x=ky}\qquad \textit{we also know that } \begin{cases} x=7.5\\ y=10 \end{cases}\implies 7.5=k(10) \\\\\\ \cfrac{7.5}{10}\implies \cfrac{~~\frac{15}{2}~~}{10}=k\implies \cfrac{3}{4}=k~\hfill \boxed{x=\cfrac{3}{4}y} \\\\\\ \textit{when y = 4, what is \underline{x}?}\qquad x=\cfrac{3}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}(~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~)\implies x=3[/tex]
I really need help on question 22, can anyone help me?!
Answer:
First, we need to find the missing side which is BC ( using pythagorean theorem)
AB² + BC² = AC²
=> 16² + BC² = 20²
=> BC² = 20² - 16² = 144
=> BC = √144 = 12
Now apply the formulars:
Just to make things easier, let's point out exactly what will the hypotenuse, opposite side and adjacent side.
So in this case:
The hypotenuse will be AC
The opposite side (of angle A) is BC
The adjacent side (of angle A) is AB
Therefore:
sin A = opposite/hypotenuse = BC/AC = 12/20 = 3/5
cos A = adjacent/hypotenuse = AB/AC = 16/20 = 4/5
tan A = opposite/adjacent = BC/AB = 12/16 = 3/4
Find the value of x.
log 2 x = 3
A. 5
B. 6
C. 8
D. 9
Answer: Option C
[tex]x =8[/tex]
Step-by-step explanation:
To solve this problem use the properties of the logarithms.
We know that the inverse function of [tex]y = log_2 (x)[/tex] is [tex]y = 2 ^ x[/tex].
So when composing the function with its inverse function we have to:
[tex]2 ^ {log_2 (x)} = x[/tex].
Now apply this property on both sides of the equation
[tex]log_2(x) = 3\\\\2^{log_2(x)}=2^3\\\\x = 2^3\\\\x = 8[/tex]
the answer is the option C
a share of wonder stock rose 4 points on Monday. on Tuesday it fell 6 points. what was it's total loss or gain
Answer:
loss: 2 points
Step-by-step explanation:
Mathematically: +4 - 6 = -2. The "net" loss was 2 points.
The measure of angle 2 is (3x+10) degrees and the measure of angle 4 is (4x-15) degrees.What is the measure of angle 7
Answer:
7 is (5-20) degrees because if you see 2is (3* 10) or 4 is (4*- 15) you will get your Answer
can you find angle a
Check the picture below.
In order to form a negation, just add "not" to a statement or take "not" out of a statement if it already exists.
True
False
Answer:
The correct answer option for this is: False.
Step-by-step explanation:
We are given the following statement which we are to determine whether its true or false:
In order to form a negation, just add "not" to a statement or take "not" out of a statement if it already exists.
To form a negation, we add the word 'not' to a statement - this part of the given sentence is true.
While 'or take "not" out of a statement if it already exists' is false which makes the whole sentence false.
a line, segment, or ray which divides the interior angels of a triangle into two equal parts what is it?
Answer:
A ray
Step-by-step explanation:
Answer:
ray
Step-by-step explanation:
What is f(3) for the quadratic function f(x)= 2x^2+ + x - 12
Answer: f(3) = 9
Step-by-step explanation: f(3) = 2(3)^2 + x - 12
f(3) = 18 + (-9)
f(3)= 9
A school spent $150 on advertising for a breakfast fundraiser. Each plate of food was sold for $8.00 but cost the school $2.00 to prepare. After all expenses were paid, the school raised $2,400 at the fundraiser. Which equation can be used to find x, the number of plates that were sold?
6x – 150 = 2,400
6x + 150 = 2,400
10x – 150 = 2,400
10x + 150 = 2,400
Answer:
A. 6x-150=2400
X=425
Step-by-step explanation:
Solve.
6x-150=2400
First, you add 150 from both sides of equation.
6x-150+150=2400+150
Then, simplify.
2400+150=2550
6x=2550
Divide by 6 from both sides of equation.
6x/6=2550/6x
Simplify to find the answer.
2550/6=425
X=425 is the correct answer.
A. 6x-150=2400 is the correct answer.
Answer:
6x – 150 = 2400
Step-by-step explanation:
Each plate of food was sold for $8, but cost the school $2 to prepare:
-2x + 8x = 6x
A school spent $150 on advertising for a breakfast fundraiser:
-150
After all expenses were paid, the school raised $2400 at the fundraiser:
6x – 150 = 2400
In case you want to solve it:
6x – 150 = 2400
+ 150 + 150
_________________
6x = 2550
___ _____
6 6
x = 425
So, four hundred twenty-five plates were sold.
I am joyous to assist you anytime.
What is the slope-intercept equation for the line below?
(0, 2)
Answer:
Step-by-step explanation:
There is no given equation, so it is impossible to figure this out. I apologize.
Solve 15 ≥ -3x or 2/5 x ≥ -2.
Answer:
x ≥ -5
Step-by-step explanation:
15≥-3x
switch sides
-3x≤15
Multiply both sides by -1 (reverse the inequality)
(-3x)(-1)≥15(-1)
Simplify
3x≥-15
Divide both sides by 3
3x/3≥ -15/3
Simplify
x≥ -5
Answer:
{x | x ≥ -5}
Step-by-step explanation:
Trying to help everyone!
How many vertices are in the polyhedron?
Answer:
There are 20 vertices in the polyhedron.
The number of vertices in a polyhedron can be determined using Euler's formula or the specific properties of certain polyhedra such as platonic solids. The number of vertices varies depending on the type and structure of the polyhedron.
The number of vertices in a given polyhedron depends on the specific characteristics of the shape. According to the Euler's formula, represented as V - E + F = 2 (where V is the number of vertices, E the number of edges, and F the number of faces), we can determine the number of vertices if the other values are known.
For instance, a tetrahedron has 4 vertices, an octahedron has 6, a icosahedron has 12, a cube (also known as a regular hexahedron) has 8, and a dodecahedron has 20 vertices.
Can someone please help me understand why the coefficient of 'a' in a over 2 is 1/2 instead of 1?
Answer:
What you need to consider is what multiplied by 2 results in a/2. This number is the coefficient of a.
We can easily see that a/2 = 1/2 * a and therefore the coefficient is 1/2.
Answer:
Step-by-step explanation:
a/2 (a over 2) is rewritten as a×1/2 (a multiplied by half ) so now you can easily see that the coefficient of "a" is 1/2
Find the slope of the line that goes through (-4, 5) and (3,-1)
Answer:
y = (-6/7)x + 11/7
Step-by-step explanation:
Going from (-4, 5) to (3,-1), x increases by 7 and y decreases by 6. Hence, the slope, m, of this line is m = rise / run = -6/7.
Making use of the slope-intercept form of the equation of a str. line, we have:
y = mx + b → 5 = (-6/7)(-4) + b, or
5 = 24/7 + b. Thus, b = 11/7, and
y = (-6/7)x + 11/7
The formula to find slope when you know two points is
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case...
[tex]y_{2} =-1\\y_{1} =5\\x_{2} =3\\x_{1} =-4[/tex]
^^^Plug these numbers into the formula for slope...
[tex]\frac{-1 - 5}{3 - (-4)}[/tex]
[tex]\frac{-6}{7}[/tex]
^^^This is your slope
Hope this helped!
~Just a girl in love with Shawn Mendes
30 is what percent of 200?
Answer:
15 percent
Step-by-step explanation:
30/200=15/10015/100=0.150.15=15 percentTo find the percentage of a number, divide the first number by the second number and multiply by 100. In this case, 30 is 15% of 200.
Explanation:To find the percentage, divide the first number by the second number and multiply by 100. In this case, 30 divided by 200 is 0.15. Multiply 0.15 by 100 to get 15%. Therefore, 30 is 15% of 200.
Learn more about Percentage Calculation here:https://brainly.com/question/32197511
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Find the product. Simplify your answer. a/a^2-16 × a+4/a^2
Answer:
[tex]\frac{1}{a(a-4)}[/tex]
Step-by-step explanation:
Factor the denominator of the first fraction
a² - 16 ← is a difference of squares and factors as
a² - 16 = (a - 4)(a + 4), thus fraction becomes
[tex]\frac{a}{(a-4)(a+4)}[/tex] × [tex]\frac{a+4}{a^2}[/tex]
Cancel the factor (a + 4) on numerator/denominator and the a and a², leaving
[tex]\frac{1}{a(a-4)}[/tex]
What is the slope of the line that passes through the points (26,7) and (-39,12)
Answer:
the slope is : - 1/13
Step-by-step explanation:
Hello : let A(26,7) B(-39,12)
the slope is : (YB - YA)/(XB -XA)
(12-7)/(-39-26) = 5/(-65) = - 1/13
the slope is : - 1/13
If f(x) = 2x - 6 and g(x) = 3x + 9, find (f - g)(x).
A. (f-g)(x) = x + 15
O
O
B. (f- g)(x) = -x - 15
O c. (f- g)(x) = 5x + 3
O D. (f- g)(x) = -x+3
SUBMIT
Answer:
[tex]\large\boxed{B.\ (f-g)(x)=-x-15}[/tex]
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=2x-6,\ g(x)=3x+9\\\\\text{Substitute:}\\\\(f-g)(x)=(2x-6)-(3x+9)\\\\=2x-6-3x-9\qquad\text{combine like terms}\\\\=(2x-3x)+(-6-9)\\\\=-x-15[/tex]
Evaluate 3(a + b + c)2 for a = 2, b = 3, and c = 4
Answer: 243
Step-by-step explanation:
We have the expression
[tex]3(a + b + c)^2[/tex]
Note that the expression depends on 3 variables
a, b and c
in this case we want to evaluate the expression for
[tex]a = 2\\b = 3\\c = 4[/tex]
Then change the variable a by the number 2, the variable b by the number 3 and the variable c by the number 4
So we have
[tex]3(2 + 3 + 4)^2[/tex]
Now simplify the expression
[tex]3(9)^2[/tex]
[tex]3*81=243[/tex]
The answer is 243
ANSWER
[tex]243[/tex]
EXPLANATION
The given expression is
[tex]3 {(a + b + c)}^{2} [/tex]
We want to evaluate this expression for:
a = 2, b = 3, and c = 4.
We substitute the given values into the expression to get:
[tex]3(2 + 3 + 4)^{2} [/tex]
Let us perform the addition inside the parenthesis to get:
[tex]3(9)^{2} [/tex]
[tex]3(81) =24 3[/tex]
Therefore the given expression evaluates to:
[tex]243[/tex]
use the distributive property to rewrite the expression without parentheses
(t+11)(-3)
Answer:
-3t - 33
Step-by-step explanation:
Distribute -3 to all terms within the other parenthesis:
(-3)(t + 11) = (-3)(t) + (-3)(11)
Simplify by multiplying:
(-3)(t) + (-3)(11)
-3t + (-33)
-3t - 33 is your answer.
~
Can someone pls help me with 15 and 16
A rectangular box is 8 inches long,
5 inches wide, and 4 inches high. What
is its volume?
A 160 cubic inches
B 168 cubic inches
C 1782 cubic inches
D 180 cubic inches
Answer:
A
Step-by-step explanation:
To find the volume of a rectangular box, multiply all its dimensions together.
[tex]8*5*4=160[/tex]
3 digit largest number
Answer:
999 is the largest three-digit number
Step-by-step explanation:
Linda is buying boxes of ice cream sandwiches for her class party. She has to decide how many boxes she should purchase. A formula for this scenario is: Z=ax/y where z=number of boxes, a= number of bars each student will eat, x= number of students at the party, y= number of ice cream bars per box.
Linda has 15 students in her class, and she wants each student to have 2 ice cream sandwiches. If there are 10 sandwiches in a box, how many boxes should Linda buy?
Answer:
a = 2
x = 15
y = 10
Z= 2x15/10 = 3
answer this question please
Answer:
(A) 35 degrees
Step-by-step explanation:
Using vertical angles, alternate interior angles, and corresponding angles, the measure of angle 2 is also 35 degrees.
Answer:
A.35
The parallel lines have equal angels
????????????????????
Answer:
ASA
Step-by-step explanation:
In the 2 triangles
∠J = ∠L
side OJ = side IL
∠O = ∠I
The triangles are congruent by the angle/side/angle (ASA ) postulate
which expression means three minus the product of two times a and five?
Answer:
[tex]3-(2a)(5)[/tex]
Step-by-step explanation:
we know that
The algebraic expression of the phrase "three minus the product of two times a and five" is equal to
[tex]3-(2a)(5)[/tex]
[tex]3-10a[/tex]