See attachment for math work and answer.
a) The expression will be zero when x = -4 or 8
b) The trinomial equivalent of the expression is x² - 4x - 32
c) The trinomial equals to zero when x = 8
The given expression is (x - 8)(x + 4)
a) For what value of x will the expression be equal to zero
(x - 8)(x + 4) = 0
This can be split into:
x - 8 = 0
That is, x = 8
x + 4 = 0
That is, x = -4
The expression (x - 8)(x + 4) equals to zero when x = -4 or x = 8
b) Write this product as an equivalent trinomial.
A trinomial is a polynomial expression with three terms
Expand (x - 8)(x + 4)
x² + 4x - 8x - 32
x² - 4x - 32
c) Show that this trinomial is also equal to zero at the larger value of x from part (a)
The larger value of x from part (a) is 8
Substitute x = 8 into x² - 4x - 32
8² - 4(8) - 32
= 64 - 32 - 32
= 0
Learn more here: https://brainly.com/question/18718165
Which list shows the numbers in order from greatest to least?
0.6, 0.453, 0.563, 0.4
0.4, 0.453, 0.563, 0.6
0.6, 0.563, 0.453, 0.4
0.563, 0.6, 0.453, 0.4
Answer:
c
Step-by-step explanation:
its really simple it's c
Draw diagonals ACand BDon rectangle ABCD. Measure and record the lengths of the diagonals.
Answer:
Diagonal Length
AC 7.21
BD 7.21
Step-by-step explanation:
Answer:
Diagonal | Length
AC | 7.21
BD | 7.21
Step-by-step explanation:
-edmentum
someone please help! I’ll give brainliest!!
[(2r^2t)^3/4t^2]^2 simply
Answer:
=4r12t10
Step-by-step explanation:
what do reflections have that dilation do not
Answer:
A reflection is the same just on the opposite side a dilation enlarges or enhances it along with flipping it thats what makes them different please give me brainliest.
dose anybody know this? could you provide the step by step
Help mePLEASE please
Answer:
use snipping tool
Step-by-step explanation:
next time, screenshot it. taking a picture of a screen makes the picture look bad. you can use the Windoes snipping tool for that.
What is the factorization of the expression below?
25x^2 - 36
A. (5x+6)(5x-6)
B. (5x-6)(5x-6)
C. (5x- 4)(5x-9)
D. (5x + 4)(5x-9)
Answer: The answer is A, (5x+6)(5x-6)
Step-by-step explanation: The negative and positive 6 will cancel out the regular X, meaning that 25x^2 and -36 are the only numbers left.
Slope 6, passing through (-4,2)
find the length indicated
Answer:
ST = 5
Step-by-step explanation:
RT = 7
Subtract the RS, which is 2.
You get, ST = 5.
-x + 7 <10
Solving inequalities
Answer:
x>-3
Step-by-step explanation:
−x+7<10
Step 1: Subtract 7 from both sides.
−x+7−7<10−7
−x<3
Step 2: Divide both sides by -1.
−x−1<3-1
x>−3
Select each polynomial expression that could be factored by grouping.
Answer:
The 2nd and 3rd option
Step-by-step explanation:
They can be separated into 2 pairs and factored
3x + 2y + z = 7 2x + 3y - z = 8 5x + y + 2z = 11
Answer:
x = 3, y = 0, z = −2
Step-by-step explanation:
can u guys help with my one question i have left
Answer:
Weeks in a Year. A normal year has 365 days, which is 52 Weeks and 1 Day. A leap year has 366 days, which is 52 .
Step-by-step explanation:
hope this helps :)
Answer:
I think 6
Step-by-step explanation:
365/12=30.42
30.42/5= 6.08
The temperature at 6:00 am in New York was -7 °C. At 2:00 pm the
temperature in New York was 7 °C. What was the change in the temperature
temperature?
Answer
10 degrees c
Step-by-step explanation:
Look at the table. Bob ran 3 miles in 18 minutes. Complete the table:
Answer:
First one, Third one, Fifth one, and the last one too.
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, make a ratio:
18 min/ 3mile = 6 min/mile
now multiply to finish the table:
1: 6
3: 18
5: 30
10: 60
25: 150
1/9 of 54 bottles of water = ? bottles
Answer:
6
Step-by-step explanation:
If you divide 54 in 9 parts it will come out to 6, to check this work divide 54 by 6.
6
Step-by-step explanation:
First you would turn it into a decimal to get .111 repeating then you would multiple it by 54 to get 5.99 repeating do you would round up to get 6
b) Simplify 2-(3-a) = -4
Answer:
-1+a
Step-by-step explanation:
2-(3-a) = (2-3-(-a)) = -1+a
Answer:
a=-3
Step-by-step explanation:
First off subtract 2 from both sides:
-(3-a)=-6
Then distribute the negative:
-3+a=-6
Finally add 3 to both sides:
a=-3
tadah!!
Hope that helps.
What is the volume of the cylinder below
Answer:
I think d or b
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A store sells new video games for $45 each. Used video games sell for $18 each. Alex is buying 2 new video games and x used video games. Which equation can be used to find y, the total price Alex must pay in dollars?
Answer:
u = t/18 - 5
Step-by-step explanation:
45n + 18u = t where t is the total price, n is the number of new video games, and u is the number of used video games
plug in two:
90 + 18u = t
solve in terms of u:
18u = t - 90
u = t/18 - 5
can i get a thanks and brainliest please?
54/x = 9/7
What does X=
Answer:
the answer is 42.
Step-by-step explanation:
9 times 6 is 54.
7 times 6 is 42.
Answer:
It'd be 486/7 or 69 and 3/7
Step-by-step explanation:
4c = d for c
Solve for indicated variable.
Answer:
c=1/4d
Step-by-step explanation:
Answer:
c = d/4
Step-by-step explanation:
solve this literal equation using inverse operations:
4c = d
/4 /4
c = d/4
The area of the triangle below is 2/5 square foot.
What is the length, in feet, of the base of the
triangle?
Answer:
B. 2/3
Step-by-step explanation:
The equation for area of a triangle is A=1/2bh
so we can plug in what were given
2/5 =1/2(6/5)b now we solve for b
2/5=6/10 b
2/5 divided by 6/10 =b
2/5 x 10/6 =b
4/6=b
2/3=b
What’s the value of X ?
Answer:
x=25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
(2x+2)+(5x+3)=180
A ball is thrown upward from the top of a 192-foot-high building. The ball is 240 feet above ground level after 1 second, and it reaches ground level in 6 seconds. The height above ground is a quadratic function of the time after the ball is thrown. Write the equation of this function.
Answer:
The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].
Step-by-step explanation:
From Mechanical Physics we must remember that height reached by the ball as a function of time is a quadratic function if and only if ball is uniformly accelerated by gravity and viscous forces and Earth's rotation effects can be neglected. After assuming those considerations as true, the standard form of the quadratic function is:
[tex]h = a\cdot t^{2}+b\cdot t + c[/tex] (Eq. 1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h[/tex] - Height of the ball, measured in feet.
[tex]a[/tex] - Second order coefficient, measured in feet per square second.
[tex]b[/tex] - First order coefficient, measured in feet per second.
[tex]c[/tex] - Zero order coefficient, measured in feet.
From Algebra, we can obtain a quadratic function by know three distinct points and solving the resulting system of linear equations:
[tex]A(t, h)= (0\,s,192\,ft)[/tex]
[tex]c = 192\,ft[/tex] (Eq. 2)
[tex]B(t,h) = (1\,s,240\,ft)[/tex]
[tex]a+b+c = 240\,ft[/tex] (Eq. 3)
[tex]C(t,h) =(6\,s,0\,ft)[/tex]
[tex]36\cdot a + 6\cdot b + c = 0[/tex] (Eq. 4)
By Algebraic methods, we get this unique solution:
[tex]a = -16\,\frac{ft}{s^{2}}[/tex], [tex]b = 64\,\frac{ft}{s}[/tex], [tex]c = 192\,ft[/tex]
The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.
Answer:
If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Step-by-step explanation:
The information provided is as follows:
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.The variable x is the number of pairs of pants.
The total cost function for Kelsey will be:
[tex]TC_{K}=17.95\cdot x+24[/tex]
The total cost function for Jeana will be:
[tex]TC_{J}=18.95\cdot x+18[/tex]
Consider that both pay the same total cost for their purchases.
Compute the value of x as follows:
[tex]TC_{K}=TC_{J}[/tex]
[tex]17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6[/tex]
Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
PLEASE ANSWER QUICK leggings are 54.95 they are 30% off how much are they?
Answer:
$38.47
Step-by-step explanation:
i did the math on it
Which relation is also a function?
{(-1, 3), (0, 2), (3, -1), (3, 2)} {(2,-4), (2,-2), (2, 1), (2, 3)}
{(0, 3), (1, 2), (1, 4), (2.1)}
{(-4,-3), (0.-3). (1, -3), (4, -3)}
Answer:
{(-4,-3), (0, -3,) (1, -3), and (4,-3)}
Step-by-step explanation:
There can only be one y- output for each x-input. Every other answer is a relation because there are multiple y-values for an x-value.
Answer:
The second one.
Step-by-step explanation:
A function can have two of the same inputs, but not two of the same outputs.
In the first one, the output 2 is found more than once.
In the third one, the output -3, is also found more than once.
The second one has completely unique numbers for both the input and output.
Which list shows the numbers below in order from least to greatest? −5.9, −234, 5.78, 58%−5.9, −234, 5.78, 58% −234, −5.9, 58%, 5.78−234, −5.9, 58%, 5.78 −5.9, −234, 58%, 5.78−5.9, −234, 58%, 5.78 58%, −234, 5.78, −5.958%, −234, 5.78, −5.9
Lucia wishes to advertise her business, so she gives packs of 6 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Lucia realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color? Flyers
Answer:
12
Step-by-step explanation:
No. of red flyers = 6
No. of blue flyers = 4
We need to find the minimum number of flyers of each color if she gave out the same number of red and blue flyers. For this we must find the LCM of 6 and 4.
Prime factorization of 6 = 2×3
Prime factorization of 4 = 2×2
Lowest common multiple of 6 and 4 = 12
Hence, there are 12 minimum number of flyers of each color