Answer:
c)
Step-by-step explanation:
x^2+4x-32 = (x-4)(x+8)
hence,
(x-4)(x+8) = 0
x = 4 or x = -8
the graph intersects at 4 not -4
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.
Jamal uses factoring to find the zeros of the equation x²+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
x²+4x−32=y
Let y = 0
x²+4x−32=0
x² + 8x - 4x - 32 = 0
x (x + 8) - 4 (x + 8) = 0
(x - 4)(x + 8) = 0
Thus, Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.
Learn more about simplification here:
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(5,8) and (x, 12) slope is -2, find x
PLEASE HELP ASAP
Log 128 base root2 .........................................................................................................................................
Answer:
12
Step-by-step explanation:
123657890gjinvhjkfol
I could really use some help
Answer:
045
Step-by-step explanation:
North is equal to 360 or 0 degrees. East is equal to 90 degrees because that is 1/4 of 360.
Thus, northeast is 45 degrees. This image may help.
Which of these figures has rational symmetry?
Answer:
a is the answer parallelogram is a rotational symmetry
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
Answer:
Yes it can
Step-by-step explanation:
To check wether it's a right angle triangle we need to apply the Pythagoras theorem
h^2= a^2 +b^2
Hypotenuse is always the longest side so
5^2 = 3^2 + 4^2
This is correct, so the triangle is a right angle triangle
Answer from Gauthmath
Plz someone do this I’ll give you a lot of points
Answer:
DC is congruent to CZ
Step-by-step explanation:
We know two angles are congruent so we need to have the side that is included between those angles so we say that
DC is congruent to CZ
The ratio of boys to girls in a dass in a dass is 4.3 if There are 20 boys in the class. How many are girls!
fifteen girls are there
Answer:
15 girls
Step-by-step explanation:
It helps when you stack the ratio and # of ppl, so:
4:3
20:x
How do you get from 4 to 20? You multiply 5.
Now do that to the other side, you get 15.
Hope this is helpful ^^
In the following table of values, the first differences are
x y First Difference
-2 34
-1 27
0 20
1 13
2 6
Answer:
-7
Step-by-step explanation:
Given
[tex]\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}[/tex]
Required
The first difference
To do this, we simply calculate the difference between the consecutive y-values.
i.e.
[tex]d = y_{n+1} - y_n[/tex]
So, we have:
[tex]d = y_2 - y_1 = 27 - 34 = -7[/tex]
[tex]d = y_3 - y_2 = 20 - 27 = -7[/tex]
[tex]d = y_4 - y_3 = 13 - 20 = -7[/tex]
[tex]d = y_5 - y_4 = 6-13 = -7[/tex]
Hence, the first differences are -7 (all through)
What is the missing justification?
transitive property
reflexive property
symmetric property
substitution property
Answer:
Transitive property
Step-by-step explanation:
Given
See attachment
Required
The missing property?
In step 1, we have:
[tex]\angle A \cong \angle B,\ \angle C \cong \angle B[/tex]
Transitive property states that:
If [tex]a = b[/tex] and [tex]b = c[/tex]
Then [tex]a = c[/tex]
Similarly:
If [tex]\angle A \cong \angle B[/tex] and [tex]\angle C \cong \angle B[/tex]
Then [tex]\angle A \cong \angle C[/tex] --- step 3
Hence, we can conclude that the transitive property is the missing justification
Classify the triangle.
O obtuse
O equiangular
Oright
O acute
Answer:
right
Step-by-step explanation:
The box in the lower corner means that the angle is equal to 90 degrees, which means the angle is a right angle
The triangle is a right triangle
Answer:
Right
Step-by-step explanation:
Types of triangle classifications
Acute: a triangle with all angle measures less than 90 degrees
Obtuse: a triangle with an angle of more than 90 degrees
Right: a triangle with a right angle.
Equilateral: a triangle with all equal angles ( more specifically all 60 degree angles )
Now let's look back at the question
Classify the type of triangle
Well looking at the triangle the triangle has a right angle ( indicated by the little square at the bottom left of the triangle)
A triangle with a right angle is known as a right triangle
Which division problem does the number line best illustrate
Answer:
10 ÷2 = 5
Step-by-step explanation:
10 is the final number
It is grouped in 2's
10 ÷2 = 5
Suppose you have D12000 to save . You have to save some amount at 10% and the rest at 15% how much should be saved at each rate to yield 12% on the total amount saved
Answer:
$7200 at 10%
$4800 at 15%
Step-by-step explanation:
PLZ HELP ASAP ILL MARK BRAINLIEST!
what are the leading coefficient and degree of the polynomial?
9y+8-y^2+12y^4
Polynomial degree : 2
Leading coefficient : 11
Answer:
The degree of the polynomial is 4.
The leading coefficient of the polynomial is 12.
Step-by-step explanation:
The degree of the polynomial is the highest power in the polynomial.
The highest power in the given polynomial is 4.
The leading coefficient of the polynomial is 12.
Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic? Need help!!
Answer:
$0.25
Step-by-step explanation:
Let's represent the comics by assigning it the letter C.
20C = $5.00
C = $5.00/20
= $0.25
We can confirm this by using the example where he uses 30 comics.
30C = $7.50
C = $7.50/30
= $0.25.
Therefore each comic costs $0.25
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are different, but the yintercepts are the same. How
many solutions would you expect for this system of equations?
O A. 1
O B. cannot be determined
O C. O
D. infinitely many
Answer:
Option A
Step-by-step explanation:
If the system of equations are,
y = m₁x + b
y = m₂x + b
Since, m₁ ≠ m₂ both the lines will be different (not parallel)
Therefore, the will be at least one solution of the given system of equations.
Option A will be the answer.
Can somebody help me with these question ??
Question 1
Answer:
DC = 2
Step-by-step explanation:
From the diagram, AD (i.e the angle bisector) bisects the angle into 2 equal parts. Thus, BD and DC are equal.
BD = 2
DC = BD = 2
DC = 2
This can further be explained as illustrated below:
We'll begin by calculating AD. This can be obtained as follow:
Angle A = 30°
Opposite = BD = 2
Hypothenus = AD =?
Sine A = Opposite (BD) /Hypothenus (AD)
Sine 30 = 2 / AD
0.5 = 2 / AD
Cross multiply
0.5 × AD = 2
Divide both side by 0.5
AD = 2 / 0.5
AD = 4
Finally, we shall determine DC. This can be obtained as follow:
Angle A = 30°
Hypothenus = AD = 4
Opposite = DC =?
Sine A = Opposite (DC) /Hypothenus (AD)
Sine 30 = DC / 4
Cross multiply
DC = 4 × Sine 30
DC = 4 × 0.5
DC = 2
which statements are true about function h?
Answer:
statement 1 is the true answer
The correct statements about function h(x) are:
1) As x approaches ∞, h(x) approaches ∞
2) The y-intercept is (0, 5)
3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]
4) As x approaches -∞, h(x) approaches -∞
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is exponential function?"A function of the form [tex]f(x)=a^x[/tex], where “x” is a variable and “a” is a constant."
What is domain?"It is a set of all possible input values for which a function is well defined."
What is range?"It is a set of all possible output values."
What is intercept?"It is a point at which the graph of the function intersects the X-axis or Y-axis."
For given question,
A function [tex]f(x)=x^{\frac{1}{3} }[/tex] is transformed to function [tex]h(x)=(2x)^{\frac{1}{3} }+5[/tex]
The domain of function h(x) is all real values.
To find the y-intercept, substitute x = 0
[tex]\Rightarrow h(0)=(2\times 0)^{\frac{1}{3} }+5\\\\ \Rightarrow h(0)=5[/tex]
So, the y-intercept of function h(x) is (0, 5)
To find the x-intercept, substitute y = 0 i.e., h(x) = 0
[tex]\Rightarrow 0=(2x)^{\frac{1}{3} }+5\\\\\Rightarrow (2x)^{\frac{1}{3} }=-5\\\\\Rightarrow 2x=-125\\\\\Rightarrow x=-62.5[/tex]
This means, the x-intercept of h(x) is (-62.5, 0)
From the graph of the function h(x), we can observe that as x approaches -∞ then h(x) approaches -∞ and as x approaches ∞ then h(x) approaches ∞
Therefore, the correct statements about function h(x) are:
1) As x approaches ∞, h(x) approaches ∞
2) The y-intercept is (0, 5)
3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]
4) As x approaches -∞, h(x) approaches -∞
Learn more about the function here:
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SOLVE EQUATION
solve for x
|3x+19|=13
Answer:
answer is 20............
Step-by-step explanation:
3x=13-19
x= -6/3
x= -2
Answer:
= -2
Step-by-step explanation:
3x+19=13
3x=13-19
3x/3= 6/3
X= -2
Answer from Gauthmath
Instructions: Find the missing side of the triangle.
48
50
Answer:
x = 14
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
48 ^2 + x^2 = 50^2
2304+x^2=2500
x^2 = 2500-2304
x^2 =196
Taking the square root of each side
sqrt(x^2) = sqrt(196)
x = 14
Answer:
14
Step-by-step explanation:
Use A^2+B^2=C^2
A=48
C=50
So B=sqrt(C^2-A^2)
B=sqrt(50^2-48^2)
B=sqrt(2500-2304)
B=sqrt(196)
B=14
Select the expression that shows the distributive property applied to
13(2+9).
18 of 29 QUESTIONS
13(9+2)
13. 2+ 9
13. 2+ 13.9
13. 2+ 2.9
3rd option is correct
13 × 2 + 13 × 9
Please please help !!
Please help me anyone
Answer:
Step-by-step explanation:
y = x^2 + 4
x = 11 Put this value in wherever you see an x on the right.
y = 11^2 + 4
11^2 = 11 * 11 = 121
y = 121 + 4
y = 125
what number goes in the blank?? NEED HELP ASAPPP
Please help immediately, this is urgent!!! If you see this please answer my question.
Answer:
It is the second option down
Step-by-step explanation:
How to change the decimal 4.5 into a fraction
4.5
= 4.5/1
= 4.5/1.0
= 45/10 [Shifting the decimal to right]
= 9/2 [Reducing to the simplest form]
So, the answer is 9/2.
{(2,-3),(3,-1),(2,3),(4,6),(6,6)}
Are the ordered pairs a function or not?
Answer:
Its a domain
Step-by-step explanation:
Domain:{2,3,4,6}
Which numbers belong to the solution set of the inequality?
6x < 48
A. 1,3,5,8
B. 2,4,5,7
C. 7,9,13,16
D. 9, 12, 14, 20
Answer:
B. 2, 4, 5, 7
Step-by-step explanation:
6x<48
Divide by 6 on both sides:
x < 8 (excluding 8)
You can test values greater than 8, and if it yields false, then try different numbers.
Hope this helps!
Jamie bought a new pair of jeans for $\$10$ because the price marked was $75\%$ off the original price. What was the original price of the pair of jeans?
Answer:
$40
Step-by-step explanation:
Let
Original price = x
Selling price = $10
Discount = 75%
Selling price = original price - (Discount * original price)
10 = x - 75% of x
10 = x - 0.75 * x
10 = x - 0.75x
10 = 0.25x
x = 10/0.25
x = 40
Original price = x = $40
Eric and Shiloh each have a savings account. The ratio of Eric’s account balance to Shiloh’s account balance is 4:3. Together they have a total of $140 in their accounts. Use the tape diagram below to help you determine the balance of Eric’s account. [Type your answer as a number.]
Answer:
Eric 80
Step-by-step explanation:
Take 4+3 = 7
140 /7 = 20
There is 20 in each block
Eric gets 4 of the blocks so 4*20 = 80
Shiloh gets 3 of the blocks 3*20 = 60
Answer:
80
Step-by-step explanation:
4 : 3
4x + 3x = 140
7x = 140
x =20
4*20 = eric's amount
= 80
Which set of ordered pairs does NOT represent a function?
{(0, 0), (1, 1), (2, 2), (3, 3)}
(0, 0), (0, 1), (1, 2), (1, 3)}
{(1,0), (2, 0), (3, 0), (4, 0)}
{(0, 1), (1, 2), (2, 3), (3, 4)}
Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function
Step-by-step explanation:
to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!
range: x-axis (0,0)
domain: y-axis (0,0)
pair 1:
all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs
pair 2:
all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs
pair 3:
all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs
pair 4:
all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs
let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵