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julia-pushkina [17]
3 years ago
8

Fator by grouping ab+2a+5b+10

Mathematics
1 answer:
Alenkasestr [34]3 years ago
3 0
Ab + 2a + 5b + 10

= a(b + 2) + 5(b + 2)

= (b + 2) (a + 5)
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Sari wrote the equivalent ratios below to convert cups to fluid ounces. StartFraction 8 fluid ounces Over 1 cup EndFraction = St
Amiraneli [1.4K]

Answer:

(B)72 fluid ounces

Step-by-step explanation:

To convert cups to fluid ounces, Sari wrote the equivalent ratios.

\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}

Let the question mark be represented by x.

We then have:

\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$Cross multiply\\x \times 1 = 8 \times 9\\x=72$ fluid ounces

We conclude that there are 72 fluid ounces in 9 cups.

7 0
2 years ago
Read 2 more answers
Wat is x in 1/3x - 11 = 5
kirza4 [7]

=48

Multiply by 1

Add 1 1 11 11

to both sides of the equation

6 0
3 years ago
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Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview
svetlana [45]

Answer:  The required solution is

y=(-2+t)e^{-5t}.

Step-by-step explanation:   We are given to solve the following differential equation :

y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let us consider that

y=e^{mt} be an auxiliary solution of equation (i).

Then, we have

y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.

Substituting these values in equation (i), we get

m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.

So, the general solution of the given equation is

y(t)=(A+Bt)e^{-5t}.

Differentiating with respect to t, we get

y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.

According to the given conditions, we have

y(0)=-2\\\\\Rightarrow A=-2

and

y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.

Thus, the required solution is

y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.

6 0
3 years ago
Someone help what the area of Demi's poster
Airida [17]

the center square is 20 x 20 = 400

there are 4 12 x 20 areas

12*20 = 240*4 = 960

960+400 = 1360 square inches

3 0
3 years ago
X/3 = 2,how to calculate x? <br> please help me
liq [111]

Given:

  • \sf  \dfrac{x}{3}  = 2

Solution:

\longrightarrow \sf \dfrac{x}{3}  = 2 \\  \\  \sf\longrightarrow x = 3 \times 2 \\  \\  \longrightarrow   {\underline{\boxed{ \pink {\sf{x = 6}}} }}\\  \\

4 0
2 years ago
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