The product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]
We are to find the product of (4z^2+7x-8) and (-z+3)
Product = (4z^2+7z-8)(-z+3)
Using the distributive law:
[tex]P =4z^2(-z) + 4z^2(3) + 7z(-z) +7z(3)-8(-z) -8(3)\\P = -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24\\P = -4z^3 + 5z^2 + 29z - 24[/tex]
Hence the product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]
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please help, i really beg
Answer:
Undefined
Step-by-step explanation: Because the pints are a line so there isnt a slope unless ther is a shape.
I'm saying positive. I don't think you need a shape to find the slope
Which inequality represents this statement?
A number is at least 12.
n>12
n≤12
n≥12
n<12
Answer:
bbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
Answer: n≥12
hope this helps
Which function has the same domain as y= 2 sqrtx
Answer: the first option.
Step-by-step explanation:
Answer:
[tex]f(x) = \sqrt{x } - 2 \ \\ f(x) = 5 \sqrt{x} [/tex]
What is the equation of the line.
Answer:
y = 1/2x - 1
slope = 1/2
y-intercept is
(0,-1)
Write the phrase "Five subtracted from three times any number" as an algebraic expression
Answer: 3x-5
Step-by-step explanation:
Five subtracted from three times any number can be represented as 3x-5.
how do you solve this question
Let the ceilings be a & b
and the distance from one corner of the ceiling to the opposite be c
then using Pythagoras theorem
[tex]c = \sqrt{a {}^{2} + b {}^{2} } \\ c = \sqrt{16 {}^{2} + 12 {}^{2} } \\ c = \sqrt{256 + 144 } \\ c = \sqrt{400} \\ c = 20[/tex]
hence ,c .°. the distance from one corner of the ceiling to the opposite is 20
Find 20%of $2500 what is the answer
Answer:
20% of 2500 is 500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
We need to determine 20% of 2500 now and the procedure explaining it as such
Step 1: In the given case Output Value is 2500.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 2500 = 100%.
Step 4: In the Same way, x = 20%.
Step 5: On dividing the pair of simple equations we got the equation as under
2500 = 100% (1).
x = 20% (2).
(2500%)/(x%) = 100/20
Step 6: Reciprocal of both the sides results in the following equation
x%/2500% = 20/100
Step 7: Simplifying the above obtained equation further will tell what is 20% of 2500
x = 500%
Therefore, 20% of 2500 is 500
can anyone help with this.pls
i will mark as brainliest answer if it is correct
need explanation
Answer:
He obtained 11.2 points
Step-by-step explanation:
He obtained 20 balls and was penalized 3 points.
If each red ball is 0.5 points off, then 3/0.5=6
6 of his obtained balls were red balls, penalizing 3 points.
So, 20-6=14
The rest of his 14 balls were green balls, each worth 0.8
So, 14 × 0.8 = 11.2
So he obtained a total of 11.2 points
equation of the line (6,10) , (-3,-2)
Answer:
[tex]y=\frac{4}{3}x+2[/tex]
Step-by-step explanation:
using two points you can find the slope of the line using the formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
plugging in the x- and y- values into the equation above, you'll get:
[tex]m=\frac{-2-10}{-3-6}=\frac{-12}{-9}=\frac{4}{3}[/tex]
so far, you have [tex]y = \frac{4}{3}x+b[/tex]
using any of the two points, you can solve for b. in this case, the point (-3, -2) is used.
[tex]-2=\frac{4}{3}(-3)+b\\-2=-4+b\\-2+4=-4+b+4\\2=b[/tex]
the overall equation is [tex]y=\frac{4}{3}x+2[/tex]
question (e) only please show working as well appreciate it
Answer:
a. f(2) = 6
b. f(3) + f(-3) = 62
d. 3(x+1)^2 - 5(x+1) + 4
e. This one looks like the secant line equation. Not fully sure.
Step-by-step explanation:
You replace whatever is inside of the parenthesis with the x in the function. For the first two, you just have to calcluate the numbers.
For the other two , you have use algebra. For d, you replace x with x+1.
Find the equation to the line below.
Answer: [tex]y=\frac{-3}{4}x-3[/tex]
Ok done. Thank to me :>
Is this a quadratic function? Why or why not?
Answer:
Not a quadratic function.
Step-by-step explanation:
DefinitionsA function is a relation wherein each input or x-value corresponds exactly to an output or y-value. In other words, a relation is a function if there are no repeating x-values.
Vertical Line Test :A way to determine whether a given graph represents a function is to perform the Vertical Line Test. Using the Vertical Line Test, we must draw vertical lines across the graph. If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.
⇒ The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1. Hence, the given horizontal parabola is not a quadratic function.
Horizontal Parabola: Not a FunctionThe given graph represents a horizontal (or sideways) parabola.
The vertex form of the horizontal parabola is: x = a(y - k)² + h.
where:
a = Determines the direction of the graph's opening.
a > 0, the graph of the parabola opens to the right.a < 0, the graph of the horizontal parabola opens to the lefty = k is the horizontal axis of symmetry
k = determines the vertical translation of the graph
h = determines the horizontal translation of the graph
Equation of the Horizontal Parabola in Vertex Form:The vertex of the given graph occurs at the point of origin, (0, 0).
Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :
x = a(y - k)² + h
1 = a(1 - 0)² + 0
1 = a( 1 )²
1 = a
Equation of the given horizontal parabola in vertex form:
⇒ x = (y - 0)² + 0 or x = y²
It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.
This implies that each x-values on the graph have more than one corresponding y-values:x = 1 has two y-values: y = -1, and y = 1.
x = 4 has two y-values: y = -2, and y = 2.
Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.
Find the percentage error if you: Estimate your credit card balance to be $2000 when it is $2590. a. 22.8% b. 20.5% c. 30.8% d. 50.6%
Answer:
a) 22.8%
Step-by-step explanation:
(2590-2000) ÷ 2590 =
590 ÷ 2590 =
.2277 = 22.8%
To solve 5x + 2 = 1/125, you would first:
The solution of the given equation5x + 2 = 1/125 would be equal to -229/625.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
The solution of the given equation is
[tex]5x + 2 = 1/125\\5x = 1/125-2\\5x = -249/125\\x= -249/625[/tex]
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NEED HELP ASAP WILL GIVE 100 PTS IN IT HAVE TO BE RIGHT AND I WILL GIVE BRAINIEST
You were helping a friend with their math homework and saw the following work and explanation for one of their answers: (7^0/7^5)^1/5=7^−4/5. They are equivalent because (7/7^5)^1/5=(7^−4)^1/5. You notice their work and explanation are incorrect. Explain why it is wrong and give the correct answer.
Answer:
Step-by-step explanation:
(7^0/7^5)^1/5
= (1 / 7^5)^ 1/5
= (7^-5)^1/5
= 7^-1
= 1/7 is the correct answer.
Write an inequality that represents the graph
Answer:
y<=-1/2x-2
Step-by-step explanation:
a and b are two similar solids. the volume of a is 400cm^3
work out the volume of b
Answer:
1350 cm³
Step-by-step explanation:
we have given that,
• Height of A = 10 cm.
1350
• Volume of A = 400cm³.
• Height of B = 15 cm.
• Both A and B solids are similar.
from above told concept we get,
→ V(A) / V(B) = (Height of A)³ / (Height of B)³
Putting all given values we get,
→400/ V(B) = (10)³/(15)³
→400/V(B) = (1000/3375)
→ V(B) = (400*3375) / 1000
→ V(B) = (4 * 3375) / 10
→ V(B) = 1350 cm³. (Ans.)
Hence, Volume of B will be 1350 cm³.
Starfish have about 15,000 tiny feet that help them move around the ocean floor. The table shows the distance traveled by a starfish over a given time.
Answer: its ''A'' it takes a starfish 60 seconds to travel 1 meter
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Which graph represents the same relation as the rule y = 2x, for all real numbers x?
A coordinate plane has 5 points. The points are (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).
On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).
On a coordinate plane, a straight line with positive slope intercepts the axis at (0, 0). The line goes through points (negative 2, negative 4) and (2, 4).
On a coordinate plane, 11 points form a vertical line that crosses the x-intercept at (2, 0).
On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).
What is co-ordinate plane?
A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.
A horizontal line exists as a straight line that varies from left to right or right to left. In coordinate geometry, a line is expressed to be horizontal if two points on the line include the same Y- y-coordinate points. It arrives from the term “horizon”. It indicates that the horizontal lines exist invariably parallel to the horizon or the x-axis.
Hence, On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).
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Answer:
C
Step-by-step explanation:
Edge 2023
$20, $15,$10,$5. What is the range of allowance amounts?
Answer:
$15
Step-by-step explanation:
20-5= 15
Answer: The range is 15 because 20 is the highest and 5 is the lowest and when you subtract them you get 15.
Hope this helps :)
Two different floor plans are being offered in a new housing development. Several prospective buyers from three different age groups were surveyed about which plan they preferred. Find the probability that a randomly selected buyer preferred Plan A or was in the 40- to 49-year-old age group.
Answer:
0.677
Step-by-step explanation:Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.
Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.
We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.
An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.
Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.
The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677
please help with this math question
Answer:
z=2.61
Step-by-step explanation:
someone should help me with this question
Answer:
option c.)
Step-by-step explanation:
m∠1 + m∠3 = 180°
[tex]x3 = -8[/tex] i want the answer
Answer:
x=-8/3
Step-by-step explanation:
Help me with this please
Answer: the answer is -5
Step-by-step explanation:
k
HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
thats easy B ur welcome !!!!
Answer:
The answer is B
Step-by-step explanation:
On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.
Answer:
Step-by-step explanation:
What
help please brainliest and 30 pts
Answer: B though im not sure
Step-by-step explanation:
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x=4.225
Step-by-step explanation:
You can use your trigonometric ratios to help you solve this problem. We have the hypotenuse and the angle that the triangle makes with the adjacent side. X is the adjacent side of this problem, therefore we need to take the cosine of this angle (remember SOHCATOA, Sine: Opposite/Hyp, Cosine: Adjacent/Hyp, and Tan: Opp/Adj) using this, we can model an equation where Cos(62)=(x/9), in order to solve for x, simply multiply both sides by 9 to get a final answer of 4.225...
please help i have a test tmw