Given:
After expanding [tex]-3(5-x)[/tex] we get an equivalent expression [tex]-15+3x[/tex].
The given expression is [tex]-4(-a+2)[/tex].
To find:
The equivalent expression by using distributive property.
Solution:
According to the distributive property of multiplication over addition, if a, b, c are real values, then
[tex]a(b+c)=ab+ac[/tex]
We have,
[tex]-4(-a+2)[/tex]
Using distributive property of multiplication over addition, we get
[tex]-4(-a+2)=(-4)(-a)+(-4)(2)[/tex]
[tex]-4(-a+2)=4a+(-8)[/tex]
[tex]-4(-a+2)=4a-8[/tex]
Therefore, the expression [tex]4a-8[/tex] is equivalence to [tex]-4(-a+2)[/tex].
Here is an expression: 3 ⋅ 2^t. Evaluate the expression when t is 4.
Answer:
48
Step-by-step explanation:
3 ⋅ 2^t
3 * 2^4
3*16
48
Find the value of x in The parallelogram.
Answer:
122 degrees
Step-by-step explanation:
A parallelogram has 360 degrees in total
360 - (58 + 58) = 244
244/2 = 122
I hope this helped you!
Answer:
x = 122
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, sum to 180° , so
x + 58 = 180 ( subtract 58 from both sides )
x = 122
what are the x intercepts if y=5x^2-15x
Answer:
The x Intercepts of y=5x^2-15x is (1, 0) and (-1, 0)
Step-by-step explanation:
Answer:
(0,0) and (3,0)
Step-by-step explanation:
5x²-15x = 0
5x(x-3) = 0
5x=0; x=0
x-3=0; x=3
Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?
Answer:
The average rate of change of the function over the interval is 5.
Step-by-step explanation:
Average rate of change of a function:
The average rate of change of a function f(x) over an interval [a,b] is given by:
[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]
Interval -3 less-than-or-equal-to x less-than-or-equal-to 3
This means that [tex]a = -3, b = 3[/tex]
[tex]f(x) = x^2 + 3x + 6[/tex]
So
[tex]f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24[/tex]
[tex]f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6[/tex]
Average rate of change
[tex]A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5[/tex]
The average rate of change of the function over the interval is 5.
Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.
I NEED THIS FAST LIKE PLEASEE HELP
Answer:
y = -1/6x - 1/2
Step-by-step explanation:
y = -1/6x + b
-1 = -1/6(3) + b
-1 = -1/2 + b
-1/2 = b
-5 times -8 is equal to
[tex] - 5 \times - 8 = [/tex]
Min had some cards
He gave 1/2 of them to bill.
Bill gave 1/3 of those to Sam.
Sam gave Min 2 cards back and kept 6.
How many cards did Min have in the end?
Answer:
26 cards
Step-by-step explanation:
Sam:
⅓=2+6
=8
Bill:
3/3=3×8
=24
3/3=½
24+2=26
Now ,Min have 26 cards.
hope it help
A circle with the centre (0,0) has an equation of x2 + y2 = 169
a. What is the radius?
You have a $9000 bond that earns 3% interest compounded quarterly. How much is the bond word at 6 years?
Answer:
$10,667.66
Step-by-step explanation:
The formula for calculating the compound interest is expressed as:
A = P(1+r/n)^nt
P is the principal = $9000
r is the rate = 3%
time t = 6years
n = 1/4
Substitute
A = 9000(1+0.03/(1/4))^6/4
A = 9000(1+0.03(4))^1.5
A = 9000(1+0.12)^1.5
A = 9000(1.12)^1.5
A = 9000(1.1853)
A = 10,667.67
Hence the amount after 6 years is $10,667.66
two hundred minus the number two
Answer:
200-2 = 198
Step-by-step explanation:
If you have 200 apples and you eat two you have 198 apples
Translate the following sentence into an equation using n for the unknown number. Then solve for n. when 15 is decreased by three times a number, the result is 21 a. 15 minus 3 n = 21. n = negative 2. b. 3 n minus 15 = 21. n = negative 2. c. 3 n minus 15 = 21. n = 12. d. 15 minus 3 n = 21. n = 2. Please select the best answer from the choices provided A B C D
Answer:
n=-2,A
Step-by-step explanation:
15-3n=21
-3n=21-15
-3n=6
n=6/-3
=-2
Helaine graphed the equation 12x−4y=3. What was the slope of Helaine’s line?
−12
−4
3
12
Answer:
3
X is slope but the equation isnt set up proper
12x-4y=3
-12x -12x
-4y=-12x+3
/-4 /-4
y= 3x+3/-4
Answer:
3
Step-by-step explanation:
a) If a + 5 = 15, then find the value of a
Answer:
The answer is 10
Step-by-step explanation:
a + 5 =15
15-5=10
Answer:
Step-by-step explanation:
a+5=15
a=15-5
a=10
What are the scores of the students which are less than equal to 25% of the data?
Answer:
24/100
Step-by-step explanation:
find out the area and perimeter of circle of radius 7cm
Answer:
[tex]area = \frac{\pi}{4} \times {r}^{2} \\ = \frac{\pi}{4} \times {7}^{2} \\ = \frac{\pi}{4} \times 49 \\ = 38.48451000647 \: cm \: ans......[/tex]
Answer:
Step-by-step explanation:
area of circle=πr^2
=3.14*(7)^2
=3.14*49
=153.86 cm^2
perimeter of a circle(circumference)=2πr
=2*3.14*7
=14*3.14
=43.96 cm
A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 40%. Find the selling price.
Answer:
$28.00
Step-by-step explanation:
1. The markup is 40% of the $20 cost, so the markup is:
(0.40)(20) = 8
2. Then the selling price, being the cost plus markup, is:
20 + 8 = 28
3. The CD set sold for $28.00
Step-by-step explanation:
sp=(100+p)% of cp
=100+40/100*20
=140/100*20
=28
write the following ratios in simplest form.
35:100
Answer:
7:20
Step-by-step explanation:
divide both by 5 to simplify
The quantity y varies as the cube of (x+2) y=32 when x=0. Find y when x=1
Answer:
[tex]y \: \alpha \: {(x + 2)}^{3} \\ y = k {(x + 2)}^{3} \\ k \: is \: a \: constant \\ when \: x = 0 \: \: y = 32 : \\ 32 = k {(0 + 2)}^{3} \\ 32 = k(8) \\ k = 4 \\ \therefore \: y = 4 {(x + 2)}^{3} \\ when \: x \: is \: 1 : \\ y = 4 {(1 + 2)}^{3} \\ y = 4 \times 27 \\ y = 108[/tex]
A number increace by a 5 is 12
Answer:
[tex]n + 5 = 12[/tex]
Step-by-step explanation:
"A number increased by a 5 is 12".
The value of n.
[tex]n + 5 = 12[/tex]
[tex]n = 12-5[/tex]
[tex]n = 7[/tex]
Hope it is helpful....Answer:
7
Step-by-step explanation:
subtract the sum, in this case 12. by 5 to get the answer. 12-5=7
what is z
10.42= −2.6z+0.8
Answer:
-3.7 =z
Step-by-step explanation:
10.42= −2.6z+0.8
Subtract .8 from each side
10.42-.8= −2.6z+0.8-.8
9.62= −2.6z
Divide each side by -2.6
9.62 / -2.6 = -2.6z/-2.6
-3.7 =z
[tex]\sf\purple{The\:value\:of\:z\:is\:-3.7.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]10.42 = - 2.6 \: z + 0.8 \\ \\✒ \: 2.6 \: z = 0.8 - 10.42\\ \\ ✒ \: 2.6 \: z = - 9.62 \\\\ ✒ \: z \: = \frac{ - 9.62}{2.6} [/tex]
To remove the decimals, we multiply both numerator and denominator by 100.
[tex]✒ \: z \: = \frac{ - 962}{260} \\ \\ ✒ \: z = - 3.7[/tex]
To verify:-[tex]10.42 = - 2.6 \times ( - 3.7) + 0.8 \\ \\✒ \: 10.42 = 9.62 + 0.8 \\ \\✒ \: 10.42 = 10.42 \\\\ ✒ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Can someone make me a histogram for this set of data. If you do I’ll mark u as the Brainliest
Answer:On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.
Step-by-step explanation:
Answer:
Attached is a file of a sample histogram compiled by Social Science Statistics with the values in the question inputted.
Step-by-step explanation:
Histograms are bar graphs that represent a set of values. The vertical y-axis indicate how many values there are in a certain interval, and the horizontal x-axis indicates those intervals, usually in intervals of 10, but this depends on the range of your data.
A histogram with the following forty (40) values:
37, 22, 28, 25, 53, 29, 37, 41, 54, 29, 23, 30, 37, 41, 27, 26, 39, 24, 36, 48, 45, 31, 27, 40, 38, 41, 39, 37, 30, 44, 42, 46, 53, 43, 44, 43, 49, 51, 38, 32
URGENT PLS HELP!!!
divide 2475ml in the ratio 3:8
Answer:
765 ml & 1800 ml
Step-by-step explanation:
[tex]3x + 8x = 2475\\\\11x = 2475\\\\x=225\\\\3(225)=765\\8(225)=1800[/tex]
h(x)=sqrt(x) and g (x)=4x^2+4, find h(g(sqrt(a))))
[tex]\begin{cases} h(x)=\sqrt{x}\\ g(x)=4x^2+4 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(\sqrt{a})=4(\sqrt{a})^2+4\implies g(\sqrt{a})=4\sqrt{a^2}+4\implies g(\sqrt{a})=\boxed{4a+4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(~~g(\sqrt{a})~~)\implies h\left( \boxed{4a+4} \right)=\sqrt{4a+4}\implies h(~~4a+4~~)=\sqrt{4(a+1)} \\\\\\ h(~~4a+4~~)=\sqrt{2^2(a+1)}\implies h(~~4a+4~~)=2\sqrt{a+1}[/tex]
can anyone answer this ?
plz show your working as well
1) (3x2– 4x – 1) + (8x2– x + 6)
2) (6x2– x – 4) + (2x2+ 5x – 5)
3) (4x2 +2x – 5) + (6x2– x – 5)
1.
[tex](3 {x}^{2} - 4x - 1) + (8 {x}^{2} - x + 6) \\ \\ combining \: the \: like \: terms,\:we\:have\\ \\ = 3 {x}^{2} + 8 {x}^{2} - 4x - x - 1 + 6 \\ \\ = 11 {x}^{2} - 5x + 5[/tex]
2.
[tex](6 {x}^{2} - x - 4) + ( 2{x}^{2} + 5x - 5) \\ \\combining \: the \: like \: terms, \: we \: have \\ \\= 6 {x}^{2} + 2 {x}^{2} - x + 5x - 4 - 5 \\ \\= 8 {x}^{2} + 4x - 9[/tex]
3.
[tex](4 {x}^{2} + 2x - 5) + (6 {x}^{2} - x - 5) \\ \\ combining \: th e\:l ike \: terms, \: we \: have \\ \\= 4 {x}^{2} + 6 {x}^{2} + 2x - x - 5 - 5 \\ \\= 10 {x}^{2} +x - 10[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
An ordered pair is translated 2 units left and 6 units up. Describe the translation using translation notation.
Answer:
y = (x+2) + 6
Step-by-step explanation:
In circle F with mEHG = 42, find the mEFG.
Answer:
∠EFG=2×∠EHG
∠EFG=2×42
∠EFG=84°
so,m∠EFG=84°
------------------------
hope it helps...
have a nice day!!
Simplify:9-1÷2÷27^2÷3
First let's calculate the exponents.
[tex]27^2 : 729 = 9-1\div \:2\div \:729\div \:3[/tex]
Now we should multiply and divide.
[tex]1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}[/tex]
Now we should add and subtract.
[tex]9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}[/tex]
Convert the improper fractions into mixed numbers.
[tex]8\frac{4373}{4374}[/tex]
Answer :
[tex]8\frac{4373}{4374}[/tex]
PLEASE I NEED HELP kitty’s
• graph and multiple choice
Plz I need it right to pass
(Easy point)10
6 ft. 12 ft. 8 ft. The area of this irregular figure is sq. ft. 16 ft
Answer:
Step-by-step explanation:
I believe it is 26?
2,6, 18, 54,162
The common ratio ""is3
Is this right?
Answer:
yes it is
Step-by-step explanation: